Satoshi gave the world Bitcoin, a true “something for nothing.” His discovery of absolute scarcity for money is an unstoppable idea that is changing the world tremendously, just like its digital ancestor: the number zero.
Zero is Special
“In the history of culture the discovery of zero will always stand out as one of the greatest single achievements of the human race.” — Tobias Danzig, Number: The Language of Science
Many believe that Bitcoin is “just one of thousands of cryptoassets”—this is true in the same way that the number zero is just one of an infinite series of numbers. In reality, Bitcoin is special, and so is zero: each is an invention which led to a discovery that fundamentally reshaped its overarching system—for Bitcoin, that system is money, and for zero, it is mathematics. Since money and math are mankind’s two universal languages, both Bitcoin and zero are critical constructs for civilization.
For most of history, mankind had no concept of zero: an understanding of it is not innate to us—a symbol for it had to be invented and continuously taught to successive generations. Zero is an abstract conception and is not discernible in the physical world—no one goes shopping for zero apples. To better understand this, we will walk down a winding path covering more than 4,000 years of human history that led to zero becoming part of the empirical bedrock of modernity.
Numerals, which are symbols for numbers, are the greatest abstractions ever invented by mankind: virtually everything we interact with is best grasped in numerical, quantifiable, or digital form. Math, the language of numerals, originally developed from a practical desire to count things—whether it was the amount of fish in the daily catch or the days since the last full moon. Many ancient civilizations developed rudimentary numeral systems: in 2000 BCE, the Babylonians, who failed to conceptualize zero, used two symbols in different arrangements to create unique numerals between 1 and 60:
Vestiges of the base-60 Babylonian cuneiform system still exist today: there are 60 seconds in a minute, 60 minutes in an hour, and 6 sets of 60 degrees in a circle. But this ancient system lacked a zero, which severely limited its usefulness. Ancient Greeks and Mayans developed their own numeral systems, each of which contained rough conceptions of zero. However, the first explicit and arithmetic use of zero came from ancient Indian and Cambodian cultures. They created a system with nine number symbols and a small dot used to mark the absence of a number—the original zero. This numeral system would eventually evolve into the one we use today:
In the 7th century, the Indian mathematician Brahmagupta developed terms for zero in addition, subtraction, multiplication, and division (although he struggled a bit with the latter, as would thinkers for centuries to come). As the discipline of mathematics matured in India, it was passed through trade networks eastward into China and westward into Islamic and Arabic cultures. It was this western advance of zero which ultimately led to the inception of the Hindu-Arabic numeral system—the most common means of symbolic number representation in the world today:
The Economization of Math
When zero reached Europe roughly 300 years later in the High Middle Ages, it was met with strong ideological resistance. Facing opposition from users of the well-established Roman numeral system, zero struggled to gain ground in Europe. People at the time were able to get by without zero, but (little did they know) performing computation without zero was horribly inefficient. An apt analogy to keep in mind arises here: both math and money are possible without zero and Bitcoin, respectively—however both are tremendously more wasteful systems without these core elements. Consider the difficulty of doing arithmetic in Roman numerals:
Calculation performed using the Hindu-Arabic system is significantly more straightforward than with Roman numerals—and energy-efficient systems have a tendency to win out in the long run, as we saw when the steam engine outcompeted animal-sourced power or when capitalism prevailed over socialism (another important point to remember for Bitcoin later). This example just shows the pains of addition—multiplication and division were even more painstaking. As Amir D. Aczel described it in his book Finding Zero:
“[The Hindu-Arabic numeral system] allowed an immense economy of notation so that the same digit, for example 4, can be used to convey itself or forty (40) when followed by a zero, or four hundred and four when written as 404, or four thousand when written as a 4 followed by three zeros (4,000). The power of the Hindu-Arabic numeral system is incomparable as it allows us to represent numbers efficiently and compactly, enabling us to perform complicated arithmetic calculations that could not have been easily done before.”
Roman numeral inefficiency would not be tolerated for long in a world enriching itself through commerce. With trade networks proliferating and productivity escalating in tandem, growing prospects of wealth creation incentivized merchants to become increasingly competitive, pushing them to always search for an edge over others. Computation and record-keeping with a zero-based numeral system was qualitatively easier, quantitatively faster, and less prone to error. Despite Europe’s resistance, this new numeral system simply could not be ignored: like its distant progeny Bitcoin would later be, zero was an unstoppable idea whose time had come:
Functions of Zero
Zero’s first function is as a placeholder in our numeric system: for instance, notice the “0” in the number “1,104” in the equation above, which indicates the absence of value in the tens place. Without zero acting as a symbol of absence at this order of magnitude in “1,104,” the number could not be represented unambiguously (without zero, is it “1,104” or “114”?). Lacking zero detracted from a numeral system’s capacity to maintain constancy of meaning as it scales. Inclusion of zero enables other digits to take on new meaning according to their position relative to it. In this way, zero lets us perform calculation with less effort—whether its pen strokes in a ledger, finger presses on a calculator, or mental gymnastics. Zero is a symbol for emptiness, which can be a highly useful quality—as Lao Tzu said:
“We shape clay into a pot, but it is the emptiness inside that holds whatever we want.”
More philosophically, zero is emblematic of the void, as Aczel describes it:
“…the void is everywhere and it moves around; it can stand for one truth when you write a number a certain way — no tens, for example — and another kind of truth in another case, say when you have no thousands in a number!”
Drawing analogies to the functions of money: zero is the “store of value” on which higher order of magnitude numerals can scale; this is the reason we always prefer to see another zero at the end of our bank account or Bitcoin balance. In the same way a sound economic store of value leads to increased savings, which undergirds investment and productivity growth, so too does a sound mathematical placeholder of value give us a numeral system capable of containing more meaning in less space, and supporting calculations in less time: both of which also foster productivity growth. Just as money is the medium through which capital is continuously cycled into places of optimal economic employment, zero gives other digits the ability to cycle—to be used again and again with different meanings for different purposes.
Zero’s second function is as a number in its own right: it is the midpoint between any positive number and its negative counterpart (like +2 and -2). Before the concept of zero, negative numbers were not used, as there was no conception of “nothing” as a number, much less “less than nothing.” Brahmagupta inverted the positive number line to create negative numbers and placed zero at the center, thus rounding out the numeral system we use today. Although negative numbers were written about in earlier times, like the Han Dynasty in China (206 BCE to 220 BCE), their use wasn’t formalized before Brahmagupta, since they required the concept of zero to be properly defined and aligned. In a visual sense, negative numbers are a reflection of positive numbers cast across zero:
Interestingly, negative numbers were originally used to signify debts—well before the invention of double-entry accounting, which opted for debits and credits (partly to avoid the use of negative numbers). In this way, zero is the “medium of exchange” between the positive and negative domains of numbers—it is only possible to pass into, or out of, either territory by way of zero. By going below zero and conceptualizing negative numbers, many new and unusual (yet extremely useful) mathematical constructs come into being including imaginary numbers, complex numbers, fractals, and advanced astrophysical equations. In the same way the economic medium of exchange, money, leads to the acceleration of trade and innovation, so too does the mathematical medium of exchange, zero, lead to enhanced informational exchange, and its associated development of civilizational advances:
Zero’s third function is as a facilitator for fractions or ratios. For instance, the ancient Egyptians, whose numeral system lacked a zero, had an extremely cumbersome way of handling fractions: instead of thinking of 3/4 as a ratio of three to four (as we do today), they saw it as the sum of 1/2 and 1/4. The vast majority of Egyptian fractions were written as a sum of numbers as 1/n, where n is the counting number—these were called unit fractions. Without zero, long chains of unit fractions were necessary to handle larger and more complicated ratios (many of us remember the pain of converting fractions from our school days). With zero, we can easily convert fractions to decimal form (like 1/2 to 0.5), which obsoletes the need for complicated conversions when dealing with fractions. This is the “unit of account” function of zero. Prices expressed in money are just exchange ratios converted into a money-denominated price decimal: instead of saying “this house costs eleven cars” we say, “this house costs $440,000,” which is equal to the price of eleven $40,000 cars. Money gives us the ability to better handle exchange ratios in the same way zero gives us the ability to better handle numeric ratios.
Numbers are the ultimate level of objective abstraction: for example, the number 3 stands for the idea of “threeness” — a quality that can be ascribed to anything in the universe that comes in treble form. Equally, 9 stands for the quality of “nineness” shared by anything that is composed of nine parts. Numerals and math greatly enhanced interpersonal exchange of knowledge (which can be embodied in goods or services), as people can communicate about almost anything in the common language of numeracy. Money, then, is just the mathematized measure of capital available in the marketplace: it is the least common denominator among all economic goods and is necessarily the most liquid asset with the least mutable supply. It is used as a measuring system for the constantly shifting valuations of capital (this is why gold became money—it is the monetary metal with a supply that is most difficult to change). Ratios of money to capital (aka prices) are among the most important in the world, and ratios are a foundational element of being:
“In the beginning, there was the ratio, and the ratio was with God, and the ratio was God.” — John 1:1*
*(A more “rational” translation of Jesus’s beloved disciple John: the Greek word for ratio was λόγος (logos), which is also the term for word.)
An ability to more efficiently handle ratios directly contributed to mankind’s later development of rationality, a logic-based way of thinking at the root of major social movements such as the Renaissance, the Reformation, and the Enlightenment. To truly grasp the strange logic of zero, we must start with its point of origin—the philosophy from which it was born.
Philosophy of Zero
“In the earliest age of the gods, existence was born from non-existence.” — The Rig Veda
Zero arose from the bizarre logic of the ancient East. Interestingly, the Buddha himself was a known mathematician — in early books about him, like the Lalita Vistara, he is said to be excellent in numeracy (a skill he uses to woo a certain princess). In Buddhism, the logical character of the phenomenological world is more complex than true or false:
“Anything is either true,
Or not true,
Or both true and not true,
Or neither true nor not true.
This is the Lord Buddha’s teaching.”
This is the Tetralemma (or the four corners of the catuskoti): the key to understanding the seeming strangeness of this ancient Eastern logic is the concept of Shunya, a Hindi word meaning zero: it is derived from the Buddhist philosophical concept of Śūnyatā (or Shunyata). The ultimate goal of meditation is the attainment of enlightenment, or an ideal state of nirvana, which is equivalent to emptying oneself entirely of thought, desire, and worldly attachment. Achievement of this absolute emptiness is the state of being in Shunyata: a philosophical concept closely related to the void—as the Buddhist writer Thich Nhat Hanh describes it:
“The first door of liberation is emptiness, Shunyata
Emptiness always means empty of something
Emptiness is the Middle Way between existent and nonexistent
Reality goes beyond notions of being and nonbeing
True emptiness is called “wondrous being,” because it goes beyond existence and nonexistence
The concentration on Emptiness is a way of staying in touch with life as it is, but it has to be practiced and not just talked about.”
Or, as a Buddhist monk of ancient Wats temple in Southeast Asia described the meditative experience of the void:
“When we meditate, we count. We close our eyes and are aware only of where we are at in the moment, and nothing else. We count breathing in, 1; and we count breathing out, 2; and we go on this way. When we stop counting, that is the void, the number zero, the emptiness.”
A direct experience of emptiness is achievable through meditation. In a true meditative state, the Shunyata and the number zero are one and the same. Emptiness is the conduit between existence and nonexistence, in the same way zero is the door from positive to negative numbers: each being a perfect reflection of the other. Zero arose in the ancient East as the epitome of this deeply philosophical and experiential concept of absolute emptiness. Empirically, today we now know that meditation benefits the brain in many ways. It seems too, that its contribution to the discovery of zero helped forge an idea that benefits mankind’s collective intelligence — our global hive-mind.
Despite being discovered in a spiritual state, zero is a profoundly practical concept: perhaps it is best understood as a fusion of philosophy and pragmatism. By traversing across zero into the territory of negative numbers, we encounter the imaginary numbers, which have a base unit of the square root of -1, denoted by the letter i. The number i is paradoxical: consider the equations x² + 1 = 0 and x³ + 1 = 0, the only possible answers are positive square root of -1 (i) and negative square root of -1 (-i or i³), respectively. Visualizing these real and imaginary domains, we find a rotational axis centered on zero with orientations reminiscent of the tetralemma: one true (1), one not true (i), one both true and not true (-1 or i²), and one neither true nor not true (-i or i³):
Going through the gateway of zero into the realms of negative and imaginary numbers provides a more continuous form of logic when compared to the discrete either-or logic, commonly accredited to Aristotle and his followers. This framework is less “black and white” than the binary Aristotelean logic system, which was based on true or false, and provides many gradations of logicality; a more accurate map to the many “shades of grey” we find in nature. Continuous logic is insinuated throughout the world: for instance, someone may say “she wasn’t unattractive,” meaning that her appeal was ambivalent, somewhere between attractive and unattractive. This perspective is often more realistic than a binary assessment of attractive or not attractive.
Importantly, zero gave us the concept of infinity: which was notably absent from the minds of ancient Greek logicians. The rotations around zero through the real and imaginary number axes can be mathematically scaled up into a three-dimensional model called the Riemann Sphere. In this structure, zero and infinity are geometric reflections of one another and can transpose themselves in a flash of mathematical permutation. Always at the opposite pole of this three-dimensional, mathematical interpretation of the tetralemma, we find zero’s twin—infinity:
The twin polarities of zero and infinity are akin to yin and yang — as Charles Seife, author of Zero: Biography of a Dangerous Idea, describes them:
“Zero and infinity always looked suspiciously alike. Multiply zero by anything and you get zero. Multiply infinity by anything and you get infinity. Dividing a number by zero yields infinity; dividing a number by infinity yields zero. Adding zero to a number leaves it unchanged. Adding a number to infinity leaves infinity unchanged.”
In Eastern philosophy, the kinship of zero and infinity made sense: only in a state of absolute nothingness can possibility become infinite. Buddhist logic insists that everything is endlessly intertwined: a vast causal network in which all is inexorably interlinked, such that no single thing can truly be considered independent — as having its own isolated, non-interdependent essence. In this view, interrelation is the sole source of substantiation. Fundamental to their teachings, this truth is what Buddhists call dependent co-origination, meaning that all things depend on one another. The only exception to this truth is nirvana: liberation from the endless cycles of reincarnation. In Buddhism, the only pathway to nirvana is through pure emptiness:
Some ancient Buddhist texts state: “the truly absolute and the truly free must be nothingness.” In this sense, the invention of zero was special; it can be considered the discovery of absolute nothingness, a latent quality of reality that was not previously presupposed in philosophy or systems of knowledge like mathematics. Its discovery would prove to be an emancipating force for mankind, in that zero is foundational to the mathematized, software-enabled reality of convenience we inhabit today.
Zero was liberation discovered deep in meditation, a remnant of truth found in close proximity to nirvana — a place where one encounters universal, unbounded, and infinite awareness: God’s kingdom within us. To buddhists, zero was a whisper from the universe, from dharma, from God (words always fail us in the domain of divinity). Paradoxically, zero would ultimately shatter the institution which built its power structure by monopolizing access to God. In finding footing in the void, mankind uncovered the deepest, soundest substrate on which to build modern society: zero would prove to be a critical piece of infrastructure that led to the interconnection of the world via telecommunications, which ushered in the gold standard and the digital age (Bitcoin’s two key inceptors) many years later.
Blazing a path forward: the twin conceptions of zero and infinity would ignite the Renaissance, the Reformation, and the Enlightenment — all movements that mitigated the power of The Catholic Church as the dominant institution in the world and paved the way for the industrialized nation-state.
Power of The Church Falls to Zero
The universe of the ancient Greeks was founded on the philosophical tenets of Pythagoras, Aristotle, and Ptolemy. Central to their conception of the cosmos was the precept that there is no void, no nothingness, no zero. Greeks, who had inherited their numbers from the geometry-loving Egyptians, made little distinction between shape and number. Even today, when we square a number (x²), this is equivalent to converting a line into a square and calculating its area. Pythagoreans were mystified by this connection between shapes and numbers, which explains why they didn’t conceive of zero as a number: after all, what shape could represent nothingness? Ancient Greeks believed numbers had to be visible to be real, whereas the ancient Indians perceived numbers as an intrinsic part of a latent, invisible reality separate from mankind’s conception of them.
The symbol of the Pythagorean cult was the pentagram (a five-pointed star); this sacred shape contained within it the key to their view of the universe—the golden ratio. Considered to be the “most beautiful number,” the golden ratio is achieved by dividing a line such that the ratio of the small part to the large part is the same as the ratio of the large part to the whole. Such proportionality was found to be not only aesthetically pleasing, but also naturally occurring in a variety of forms including nautilus shells, pineapples, and (centuries later) the double-helix of DNA. Beauty this objectively pure was considered to be a window into the transcendent; a soul-sustaining quality. The golden ratio became widely used in art, music, and architecture:
The golden ratio was also found in musical harmonics: when plucking a string instrument from its specified segments, musicians could create the perfect fifth, a dual resonance of notes said to be the most evocative musical relationship. Discordant tritones, on the other hand, were derided as the “devil in music.” Such harmony of music was considered to be one and the same with that of mathematics and the universe—in the Pythagorean finite view of the cosmos (later called the Aristotelean celestial spheres model), movements of planets and other heavenly bodies generated a symphonic “harmony of the spheres”—a celestial music that suffused the cosmic depths. From the perspective of Pythagoreans, “all was number,” meaning ratios ruled the universe. The golden ratio’s seemingly supernatural connection to aesthetics, life, and the universe became a central tenet of Western Civilization and, later, The Catholic Church (aka The Church).
Zero posed a major threat to the conception of a finite universe. Dividing by zero is devastating to the framework of logic, and thus threatened the perfect order and integrity of a Pythagorean worldview. This was a serious problem for The Church which, after the fall of the Roman Empire, appeared as the dominant institution in Europe. To substantiate its dominion in the world, The Church proffered itself as the gatekeeper to heaven. Anyone who crossed The Church in any way could find themselves eternally barred from the holy gates. The Church’s claim to absolute sovereignty was critically dependent on the Pythagorean model, as the dominant institution over Earth—which was in their view the center of the universe—necessarily held dominion in God’s universe. Standing as a symbol for both the void and the infinite, zero was heretical to The Church. Centuries later, a similar dynamic would unfold in the discovery of absolute scarcity for money, which is dissident to the dominion of The Fed—the false church of modernity.
Ancient Greeks clung tightly to a worldview that did not tolerate zero or the infinite: rejection of these crucial concepts proved to be their biggest failure, as it prevented the discovery of calculus—the mathematical machinery on which much of the physical sciences and, thus, the modern world are constructed. Core to their (flawed) belief system was the concept of the “indivisible atom,” the elementary particle which could not be subdivided ad infinitum. In their minds, there was no way beyond the micro barrier of the atomic surface. In the same vein, they considered the universe a “macrocosmic atom” that was strictly bound by an outermost sphere of stars winking down towards the cosmic core—Earth. As above, so below: with nothing conceived to be above this stellar sphere and nothing below the atomic surface, there was no infinity and no void:
Aristotle (with later refinements by Ptolemy) would interpret this finite universe philosophically and, in doing so, form the ideological foundation for God’s existence and The Church’s power on Earth. In the Aristotelean conception of the universe, the force moving the stars, which drove the motion of all elements below, was the prime mover: God. This cascade of cosmic force from on high downward into the movements of mankind was considered the officially accepted interpretation of divine will. As Christianity swept through the West, The Church relied upon the explanatory power of this Aristotelean philosophy as proof of God’s existence in their proselytizing efforts. Objecting to the Aristotelean doctrine was soon considered an objection to the existence of God and the power of The Church.
Infinity was unavoidably actualized by the same Aristotelean logic which sought to deny it. By the 13th century, some bishops began calling assemblies to question the Aristotelean doctrines that went against the omnipotence of God: for example, the notion that “God can not move the heavens in a straight line, because that would leave behind a vacuum.” If the heavens moved linearly, then what was left in their wake? Through what substance were they moving? This implied either the existence of the void (the vacuum), or that God was not truly omnipotent as he could not move the heavens. Suddenly, Aristotelean philosophy started to break under its own weight, thereby eroding the premise of The Church’s power. Although The Church would cling to Aristotle’s views for a few more centuries—it fought heresy by forbidding certain books and burning certain Protestants alive—zero marked the beginning of the end for this domineering and oppressive institution.
An infinite universe meant there were, at least, a vast multitude of planets, many of which likely had their own populations and churches. Earth was no longer the center of the universe, so why should The Church have universal dominion? In a grand ideological shift that foreshadowed the invention of Bitcoin centuries later, zero became the idea that broke The Church’s grip on humanity, just as absolute scarcity of money is breaking The Fed’s stranglehold on the world today. In an echo of history, us moderns can once again hear the discovery of nothing beginning to change everything.
Zero was the smooth stone slung into the face of Goliath, a death-stroke to the dominion of The Church; felled by an unstoppable idea, this oppressive institution’s fall from grace would make way for the rise of the nation-state—the dominant institutional model in modernity.
Zero: An Ideological Juggernaut
Indoctrinated in The Church’s dogma, Christianity initially refused to accept zero, as it was linked to a primal fear of the void. Zero’s inexorable connection to nothingness and chaos made it a fearsome concept in the eyes of most Christians at the time. But zero’s capacity to support honest weights and measures, a core Biblical concept, would prove more important than the countermeasures of The Church (and the invention of zero would later lead to the invention of the most infallible of weights and measures, the most honest money in history—Bitcoin). In a world being built on trade, merchants needed zero for its superior arithmetic utility. As Pierre-Simon Laplace said:
“…[zero is] a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it lent to all computations put our arithmetic in the first rank of useful inventions.”
In the 13th century, academics like the renowned Italian mathematician Fibonacci began championing zero in their work, helping the Hindu-Arabic system gain credibility in Europe. As trade began to flourish and generate unprecedented levels of wealth in the world, math moved from purely practical applications to ever more abstracted functions. As Alfred North Whitehead said:
“The point about zero is that we do not need to use it in the operations of daily life. No one goes out to buy zero fish. It is in a way the most civilized of all the cardinals, and its use is only forced on us by the needs of cultivated modes of thought.”
As our thinking became more sophisticated, so too did our demands on math. Tools like the abacus relied upon a set of sliding stones to help us keep track of amounts and perform calculation. An abacus was like an ancient calculator, and as the use of zero became popularized in Europe, competitions were held between users of the abacus (the abacists) and of the newly arrived Hindu-Arabic numeral system (the algorists) to see who could solve complex calculations faster. With training, algorists could readily outpace abacists in computation. Contests like these led to the demise of the abacus as a useful tool, however it still left a lasting mark on our language: the words calculate, calculus, and calcium are all derived from the Latin word for pebble—calculus.
Before the Hindu-Arabic numerals, money counters had to use the abacus or a counting board to keep track of value flows. Germans called the counting board a Rechenbank, which is why moneylenders came to be known as banks. Not only did banks use counting boards, but they also used tally sticks to keep track of lending activities: the monetary value of a loan was written on the side of a stick, and it was split into two pieces, with the lender keeping the larger piece, known as the stock—which is where we get the term stockholder:
Despite its superior utility for business, governments despised zero. In 1299, Florence banned the Hindu-Arabic numeral system. As with many profound innovations, zero faced vehement resistance from entrenched power structures that were threatened by its existence. Carrying on lawlessly, Italian merchants continued to use the zero-based numeral system, and even began using it to transmit encrypted messages. Zero was essential to these early encryption systems—which is why the word cipher, which originally meant zero, came to mean “secret code.” The criticality of zero to ancient encryption systems is yet another aspect of its contribution to Bitcoin’s ancestral heritage.
At the beginning of the Renaissance, the threat zero would soon pose to the power of The Church was not obvious. By then, zero had been adapted as an artistic tool to create the vanishing point: an acute place of infinite nothingness used in many paintings that sparked the great Renaissance in the visual arts. Drawings and paintings prior to the vanishing point appear flat and lifeless: their imagery was mostly two-dimensional and unrealistic. Even the best artists couldn’t capture realism without the use of zero:
With the concept of zero, artists could create a zero-dimension point in their work that was “infinitely far” from the viewer, and into which all objects in the painting visually collapsed. As objects appear to recede from the viewer into the distance, they become ever-more compressed into the “dimensionlessness” of the vanishing point, before finally disappearing. Just as it does today, art had a strong influence on people’s perceptions. Eventually, Nicholas of Cusa, a cardinal of The Church declared, “Terra non est centra mundi,” which meant “the Earth is not the center of the universe.” This declaration would later lead to Copernicus proving heliocentrism—the spark that ignited The Reformation and, later, the Age of Enlightenment:
A dangerous, heretical, and revolutionary idea had been planted by zero and its visual incarnation, the vanishing point. At this point of infinite distance, the concept of zero was captured visually, and space was made infinite—as Seife describes it:
“It was no coincidence that zero and infinity are linked in the vanishing point. Just as multiplying by zero causes the number line to collapse into a point, the vanishing point has caused most of the universe to sit in a tiny dot. This is a singularity, a concept that became very important later in the history of science—but at this early stage, mathematicians knew little more than the artists about the properties of zero.”
The purpose of the artist is to the mythologize the present: this is evident in much of the consumerist “trash art” produced in our current fiat-currency-fueled world. Renaissance artists (who were often also mathematicians, true Renaissance men) worked assiduously in line with this purpose as the vanishing point became an increasingly popular element of art in lockstep with zero’s proliferation across the world. Indeed, art accelerated the propulsion of zero across the mindscape of mankind.
Modernity: The Age of Ones and Zeros
Eventually, zero became the cornerstone of calculus: an innovative system of mathematics that enabled people to contend with ever-smaller units approaching zero, but cunningly avoided the logic-trap of having to divide by zero. This new system gave mankind myriad new ways to comprehend and grasp his surroundings. Diverse disciplines such as chemistry, engineering, and physics all depend on calculus to fulfill their functions in the world today:
Zero serves as the source-waters of many technological breakthroughs—some of which would flow together into the most important invention in history: Bitcoin. Zero punched a hole and created a vacuum in the framework of mathematics and shattered Aristotelean philosophy, on which the power of The Church was premised. Today, Bitcoin is punching a hole and creating a vacuum in the market for money; it is killing Keynesian economics—which is the propagandistic power-base of the nation-state (along with its apparatus of theft: the central bank).
In modernity, zero has become a celebrated tool in our mathematical arsenal. As the binary numerical system now forms the foundation of modern computer programming, zero was essential to the development of digital tools like the personal computer, the internet, and Bitcoin. Amazingly, all modern miracles made possible by digital technologies can be traced back to the invention of a figure for numeric nothingness by an ancient Indian mathematician: Brahmagupta gave the world a real “something for nothing,” a generosity Satoshi would emulate several centuries later. As Aczel says:
“Numbers are our greatest invention, and zero is the capstone of the whole system.”
A composition of countless zeroes and ones, binary code led to the proliferation and standardization of communications protocols including those embodied in the internet protocol suite. As people freely experimented with these new tools, they organized themselves around the most useful protocols like http, TCP/IP, etc. Ossification of digital communication standards provided the substrate upon which new societal utilities—like email, ride sharing, and mobile computing—were built. Latest (and arguably the greatest) among these digital innovations is the uninflatable, unconfiscatable, and unstoppable money called Bitcoin.
A common misconception of Bitcoin is that it is just one of thousands of cryptoassets in the world today. One may be forgiven for this misunderstanding, as our world today is home to many national currencies. But all these currencies began as warehouse receipts for the same type of thing—namely, monetary metal (usually gold). Today, national currencies are not redeemable for gold, and are instead liquid equity units in a pyramid scheme called fiat currency: a hierarchy of thievery built on top of the freely selected money of the world (gold) which their issuers (central banks) hoard to manipulate its price, insulate their inferior fiat currencies from competitive threats, and perpetually extract wealth from those lower down the pyramid.
Given this confusion, many mistakenly believe that Bitcoin could be disrupted by any one of the thousands of alternative cryptoassets in the marketplace today. This is understandable, as the reasons that make Bitcoin different are not part of common parlance and are relatively difficult to understand. Even Ray Dalio, the greatest hedge fund manager in history, said that he believes Bitcoin could be disrupted by a competitor in the same way that iPhone disrupted Blackberry. However, disruption of Bitcoin is extremely unlikely: Bitcoin is a path-dependent, one-time invention; its critical breakthrough is the discovery of absolute scarcity—a monetary property never before (and never again) achievable by mankind.
Like the invention of zero, which led to the discovery of “nothing as something” in mathematics and other domains, Bitcoin is the catalyst of a worldwide paradigmatic phase change (which some have started calling The Great Awakening). What numeral is to number, and zero is to the void for mathematics, Bitcoin is to absolute scarcity for money: each is a symbol that allows mankind to apprehend a latent reality (in the case of money, time). More than just a new monetary technology, Bitcoin is an entirely new economic paradigm: an uncompromisable base money protocol for a global, digital, non-state economy. To better understand the profundity of this, we first need to understand the nature of path-dependence.
The Path-Dependence of Bitcoin
Path-dependence is the sensitivity of an outcome to the order of events that led to it. In the broadest sense, it means history has inertia:
Path-dependence entails that the sequence of events matters as much as the events themselves: as a simple example, you get a dramatically different result if you shower and then dry yourself off versus if you dry yourself off first and then shower. Path-dependence is especially prevalent in complex systems due to their high interconnectivity and numerous (often unforeseeable) interdependencies. Once started down a particular pathway, breaking away from its sociopolitical inertia can become impossible—for instance, imagine if the world tried to standardize to a different size electrical outlet: consumers, manufacturers, and suppliers would all resist this costly change unless there was a gigantic prospective gain. To coordinate this shift in standardization would require either a dramatically more efficient technology (a pull method—by which people stand to benefit) or an imposing organization to force the change (a push method—in which people would be forced to change in the face of some threat). Path-dependence is why occurrences in the sociopolitical domain often influence developments in the technical; US citizens saw path-dependent pushback firsthand when their government made a failed attempt to switch to the metric system back in the 1970s.
Bitcoin was launched into the world as a one of a kind technology: a non-state digital money that is issued on a perfectly fixed, diminishing, and predictable schedule. It was strategically released into the wild (into an online group of cryptographers) at a time when no comparative technology existed. Bitcoin’s organic adoption path and mining network expansion are a non-repeatable sequence of events. As a thought experiment, consider that if a “New Bitcoin” was launched today, it would exhibit weak chain security early on, as its mining network and hash rate would have to start from scratch. Today, in a world that is aware of Bitcoin, this “New Bitcoin” with comparatively weak chain security would inevitably be attacked—whether these were incumbent projects seeking to defend their head start, international banking cartels, or even nation-states:
Path-dependence protects Bitcoin from disruption, as the organic sequence of events which led to its release and assimilation into the marketplace cannot be replicated. Further, Bitcoin’s money supply is absolutely scarce; a totally unique and one-time discovery for money. Even if “New Bitcoin” was released with an absolutely scarce money supply, its holders would be incentivized to hold the money with the greatest liquidity, network effects, and chain security. This would cause them to dump “New Bitcoin” for the original Bitcoin. More realistically, instead of launching “New Bitcoin,” those seeking to compete with Bitcoin would take a social contract attack-vector by initiating a hard fork. An attempt like this was already made with the “Bitcoin Cash” fork, which tried to increase block sizes to (ostensibly) improve its utility for payments. This chain fork was an abject failure and a real world reinforcement of the importance of Bitcoin’s path-dependent emergence:
Continuing our thought experiment: even if “New Bitcoin” featured a diminishing money supply (in other words, a deflationary monetary policy), how would its rate of money supply decay (deflation) be determined? By what mechanism would its beneficiaries be selected? As market participants (nodes and miners) jockeyed for position to maximize their accrual of economic benefit from the deflationary monetary policy, forks would ensue that would diminish the liquidity, network effects, and chain security for “New Bitcoin,” causing everyone to eventually pile back into the original Bitcoin—just like they did in the wake of Bitcoin Cash’s failure.
Path-dependence ensures that those who try to game Bitcoin get burned. Reinforced by four-sided network effects, it makes Bitcoin’s first-mover advantage seemingly insurmountable. The idea of absolute monetary scarcity goes against the wishes of entrenched power structures like The Fed: like zero, once an idea whose time has come is released into the world, it is nearly impossible to put the proverbial genie back in the bottle. After all, unstoppable ideas are independent lifeforms:
Finite and Infinite Games
Macroeconomics is essentially the set of games played globally to satisfy the demands of mankind (which are infinite) within the bounds of his time (which is strictly finite). In these games, scores are tracked in monetary terms. Using lingo from the groundbreaking book Finite and Infinite Games, there are two types of economic games: unfree (or centrally planned) markets are theatrical, meaning that they are performed in accordance with a predetermined script that often entails dutifulness and disregard for humanity. The atrocities committed in Soviet Russia are exemplary of the consequences of a theatrical economic system. On the other hand, free markets are dramatic, meaning that they are enacted in the present according to consensual and adaptable boundaries. Software development is a good example of a dramatic market, as entrepreneurs are free to adopt the rules, tools, and protocols that best serve customers. Simply: theatrical games are governed by imposed rules (based on tyranny), whereas rulesets for dramatic games are voluntarily adopted (based on individual sovereignty).
From a moral perspective, sovereignty is always superior to tyranny. And from a practical perspective, tyrannies are less energy-efficient than free markets because they require tyrants to expend resources enforcing compliance with their imposed rulesets and protecting their turf. Voluntary games (free market capitalism) outcompete involuntary games (centrally planned socialism) as they do not accrue these enforcement and protection costs: hence the reason capitalism (freedom) outcompetes socialism (slavery) in the long run. Since interpersonal interdependency is at the heart of the comparative advantage and division of labor dynamics that drive the value proposition of cooperation and competition, we can say that money is an infinite game: meaning that its purpose is not to win, but rather to continue to play. After all, if one player had all the money, the game would end (like the game of Monopoly).
In this sense, Bitcoin’s terminal money supply growth (inflation) rate of absolute zero is the ultimate monetary Schelling point — a game-theoretic focal point that people tend to choose in an adversarial game. In game theory, a game is any situation where there can be winners or losers, a strategy is a decision-making process, and a Schelling point is the default strategy for games in which the players cannot fully trust one another (like money):
Economic actors are incentivized to choose the money that best holds its value across time, is most widely accepted, and most clearly conveys market pricing information. All three of these qualities are rooted in scarcity: resistance to inflation ensures that money retains its value and ability to accurately price capital across time, which leads to its use as an exchange medium. For these reasons, holding the scarcest money is the most energy-efficient strategy a player can employ, which makes the absolute scarcity of Bitcoin an irrefutable Schelling point—a singular, unshakable motif in games played for money.
A distant digital descendent of zero, the invention of Bitcoin represents the discovery of absolute scarcity for money: an idea as equally unstoppable.
Similar to the discovery of absolute nothingness symbolized by zero, the discovery of absolutely scarce money symbolized by Bitcoin is special. Gold became money because out of the monetary metals it had the most inelastic (or relatively scarce) money supply: meaning that no matter how much time was allocated towards gold production, its supply increased the least. Since its supply increased the slowest and most predictable rate, gold was favored for storing value and pricing things—which encouraged people to voluntarily adopt it, thus making it the dominant money on the free market. Before Bitcoin, gold was the world’s monetary Schelling point, because it made trade easier in a manner that minimized the need to trust other players. Like its digital ancestor zero, Bitcoin is an invention that radically enhances exchange efficiency by purifying informational transmissions: for zero, this meant instilling more meaning per proximate digit, for Bitcoin, this means generating more salience per price signal. In the game of money, the objective has always been to hold the most relatively scarce monetary metal (gold); now, the goal is to occupy the most territory on the absolutely scarce monetary network called Bitcoin.
A New Epoch for Money
Historically, precious metals were the best monetary technologies in terms of money’s five critical traits:
- recognizability, and
Among the monetary metals, gold was relatively the most scarce, and therefore it outcompeted others in the marketplace as it was a more sound store of value. In the ascension of gold as money, it was as if free market dynamics were trying to zero-in on a sufficiently divisible, durable, portable, and recognizable monetary technology that was also absolutely scarce (strong arguments for this may be found by studying the Eurodollar system). Free markets are distributed computing systems that zero-in on the most useful prices and technologies based on the prevailing demands of people and the available supplies of capital: they constantly assimilate all of mankind’s intersubjective perspectives on the world within the bounds of objective reality to produce our best approximations of truth. In this context, verifiable scarcity is the best proxy for the truthfulness of money: assurance that it will not be debased over time.
As a (pre-Bitcoin) thought experiment, had a “new gold” been discovered in the Earth’s crust, assuming it was mostly distributed evenly across the Earth’s surface and was exactly comparable to gold in terms of these five monetary traits (with the exception that it was more scarce), free market dynamics would have led to its selection as money, as it would be that much closer to absolute scarcity, making it a better means of storing value and propagating price signals. Seen this way, gold as a monetary technology was the closest the free market could come to absolutely scarce money before it was discovered in its only possible form—digital. The supply of any physical thing can only be limited by the time necessary to procure it: if we could flip a switch and force everyone on Earth to make their sole occupation gold mining, the supply of gold would soon soar. Unlike Bitcoin, no physical form of money could possibly guarantee a permanently fixed supply—so far as we know, absolute scarcity can only be digital.
Digitization is advantageous across all five traits of money. Since Bitcoin is just information, relative to other monetary technologies, we can say: its
- divisibility is supreme, as information can be infinitely subdivided and recombined at near-zero cost (like numbers); its
- durability is supreme, as information does not decompose (books can outlast empires); its
- portability is supreme, as information can move at the speed of light (thanks to telecommunications); and its
- recognizability is supreme, as information is the most objectively discernible substance in the universe (like the written word). Finally, and most critically, since Bitcoin algorithmically and thermodynamically enforces an absolutely scarce money supply, we can say that its
- scarcity is infinite (as scarce as time, the substance money is intended to tokenize in the first place). Taken in combination, these traits make absolutely scarce digital money seemingly indomitable in the marketplace.
In the same way that the number zero enables our numeric system to scale and more easily perform calculation, so too does money give an economy the ability to socially scale by simplifying trade and economic calculation. Said simply: scarcity is essential to the utility of money, and a zero-growth terminal money supply represents “perfect” scarcity — which makes Bitcoin as near a “perfect” monetary technology as mankind has ever had. Absolute scarcity is a monumental monetary breakthrough. Since money is valued according to reflexivity, meaning that investor perceptions of its future exchangeability influence its present valuation, Bitcoin’s perfectly predictable and finite future supply underpins an unprecedented rate of expansion in market capitalization:
In summary: the invention of Bitcoin represents the discovery of absolute scarcity, or absolute irreproducibility, which occurred due to a particular sequence of idiosyncratic events that cannot be reproduced. Any attempt to introduce an absolutely scarce or diminishing supplied money into the world would likely collapse into Bitcoin (as we saw with the Bitcoin Cash fork). Absolute scarcity is a one-time discovery, just like heliocentrism or any other major scientific paradigm shift. In a world where Bitcoin already exists, a successful launch via a proof-of-work system is no longer possible due to path-dependence; yet another reason why Bitcoin cannot be replicated or disrupted by another cryptoasset using this consensus mechanism. At this point, it seems absolute scarcity for money is truly a one-time discovery that cannot “disrupted” any more than the concept of zero can be disrupted.
A true “Bitcoin killer” would necessitate an entirely new consensus mechanism and distribution model; with an implementation overseen by an unprecedentedly organized group of human beings: nothing to date has been conceived that could even come close to satisfying these requirements. In the same way that there has only ever been one analog gold, there is likely to only ever be one digital gold. For the same quantifiable reasons a zero-based numeral system became a dominant mathematical protocol, and capitalism outcompetes socialism, the absolute scarcity of Bitcoin’s supply will continue outcompeting all other monetary protocols in its path to global dominance.
Numbers are the fundamental abstractions which rule our world. Zero is the vanishing point of the mathematical landscape. In the realm of interpersonal competition and cooperation, money is the dominant abstraction which governs our behavior. Money arises naturally as the most tradable thing within a society—this includes exchanges with others and with our future selves. Scarcity is the trait of money that allows it to hold value across time, enabling us to trade it with our future selves for the foregone opportunity costs (the things we could have otherwise traded money for had we not decided to hold it). Scarce money accrues value as our productivity grows. For these reasons, the most scarce technology which otherwise exhibits sufficient monetary traits (divisibility, durability, recognizability, portability) tends to become money. Said simply: the most relatively scarce money wins. In this sense, what zero is to math, absolute scarcity is to money. It is an astonishing discovery, a window into the void, just like its predecessor zero:
Fiat Currency Always Falls to Zero
Zero has proven itself as the capstone of our numeral system by making it scalable, invertible, and easily convertible. In time, Bitcoin will prove itself as the most important network in the global economic system by increasing social scalability, causing an inversion of economic power, and converting culture into a realignment with Natural Law. Bitcoin will allow sovereignty to once again inhere at the individual level, instead of being usurped at the institutional level as it is today—all thanks to its special forebear, zero:
Central planning in the market for money (aka monetary socialism) is dying. This tyrannical financial hierarchy has increased worldwide wealth disparities, funded perpetual warfare, and plundered entire commonwealths to “bail out” failing institutions. A reversion to the free market for money is the only way to heal the devastation it has wrought over the past 100+ years. Unlike central bankers, who are fallible human beings that give into political pressure to pillage value from people by printing money, Bitcoin’s monetary policy does not bend for anyone: it gives zero fucks. And in a world where central banks can “just add zeros” to steal your wealth, people’s only hope is a “zero fucks” money that cannot be confiscated, inflated, or stopped:
Bitcoin was specifically designed as a countermeasure to “expansionary monetary policies” (aka wealth confiscation via inflation) by central bankers. Bitcoin is a true zero-to-one invention, an innovation that profoundly changes society instead of just introducing an incremental advancement. Bitcoin is ushering in a new paradigm for money, nation-states, and energy-efficiency. Most importantly, it promises to break the cycle of criminality in which governments continuously privatize gains (via seigniorage) and socialize losses (via inflation). Time and time again, excessive inflation has torn societies apart, yet the lessons of history remain unlearned—once again, here we are:
The Zero Hour
How much longer will monetary socialism remain an extant economic model? The countdown has already begun: Ten. Nine. Eight. Seven. Six. Five. Four. Three. Two. One. Liftoff. Rocket technicians always wait for zero before ignition; countdowns always finalize at the zero hour. Oil price wars erupting in Eurasia, a global pandemic, an unprecedented expansionary monetary policy response, and another quadrennial Bitcoin inflation-rate halving: 2020 is quickly becoming the zero hour for Bitcoin.
Inflation rate and societal wellbeing are inversely related: the more reliably value can be stored across time, the more trust can be cultivated among market participants. When a money’s roots to economic reality are severed—as happened when the peg to gold was broken and fiat currency was born—its supply inevitably trends towards infinity (hyperinflation) and the functioning of its underlying society deteriorates towards zero (economic collapse). An unstoppable free market alternative, Bitcoin is anchored to economic reality (through proof-of-work energy expenditure) and has an inflation rate predestined for zero, meaning that a society operating on a Bitcoin standard would stand to gain in virtually infinite ways. When Bitcoin’s inflation rate finally reaches zero in the mid 22nd century, the measure of its soundness as a store of value (the stock-to-flow ratio) will become infinite; people that realize this and adopt it early will benefit disproportionately from the resultant mass wealth transfer.
Zero and infinity are reciprocal: 1/∞ = 0 and 1/0 = ∞. In the same way, a society’s wellbeing shrinks towards zero the more closely the inflation rate approaches infinity (through the hyperinflation of fiat currency). Conversely, societal wellbeing can, in theory, be expanded towards infinity the more closely the inflation rate approaches zero (through the absolute scarcity of Bitcoin). Remember: The Fed is now doing whatever it takes to make sure there is “infinite cash” in the banking system, meaning that its value will eventually fall to zero:
Zero arose in the world as an unstoppable idea because its time had come; it broke the dominion of The Church and put an end to its monopolization over access to knowledge and the gates to heaven. The resultant movement—The Separation of Church and State—reinvigorated self-sovereignty in the world, setting the individual firmly as the cornerstone of the state. Rising from The Church’s ashes came a nation-state model founded on sound property rights, rule of law, and free market money (aka hard money). With this new age came an unprecedented boom in scientific advancement, wealth creation, and worldwide wellbeing. In the same way, Bitcoin and its underlying discovery of absolute scarcity for money is an idea whose time has come. Bitcoin is shattering the siege of central banks on our financial sovereignty; it is invoking a new movement—The Separation of Money and State—as its revolutionary banner; and it is restoring Natural Law in a world ravaged by a mega-wealth-parasite—The Fed.
Only unstoppable ideas can break otherwise immovable institutions: zero brought The Church to its knees and Bitcoin is bringing the false church of The Fed into the sunlight of its long-awaited judgement day.
Both zero and Bitcoin are emblematic of the void, a realm of pure potentiality from which all things spring forth into being — the nothingness from which everything effervesces, and into which all possibility finally collapses. Zero and Bitcoin are unstoppable ideas gifted to mankind; gestures made in the spirit of “something for nothing.” In a world run by central banks with zero accountability, a cabal that uses the specious prospects of “infinite cash” to promise us everything (thereby introducing the specter of hyperinflation), nothingness may prove to be the greatest gift we could ever receive…
Thank you Brahmagupta and Satoshi Nakamoto for your generosity.
Here are the 20 diversionary tactics toxic people use to silence and degrade you.
Gaslighting is a manipulative tactic that can be described in different variations of three words: “That didn’t happen,” “You imagined it,” and “Are you crazy?” Gaslighting is perhaps one of the most insidious manipulative tactics out there because it works to distort and erode your sense of reality; it eats away at your ability to trust yourself and inevitably disables you from feeling justified in calling out abuse and mistreatment.
.. In order to resist gaslighting, it’s important to ground yourself in your own reality – sometimes writing things down as they happened, telling a friend or reiterating your experience to a support network can help to counteract the gaslighting effect. The power of having a validating community is that it can redirect you from the distorted reality of a malignant person and back to your own inner guidance.
One sure sign of toxicity is when a person is chronically unwilling to see his or her own shortcomings and uses everything in their power to avoid being held accountable for them. This is known as projection. Projection is a defense mechanism used to displace responsibility of one’s negative behavior and traits by attributing them to someone else. It ultimately acts as a digression that avoids ownership and accountability.
.. Instead of admitting that self-improvement may be in order, they would prefer that their victims take responsibility for their behavior and feel ashamed of themselves. This is a way for a narcissist to project any toxic shame they have about themselves onto another.
For example, a person who engages in pathological lying may accuse their partner of fibbing; a needy spouse may call their husband “clingy” in an attempt to depict them as the one who is dependent; a rude employee may call their boss ineffective in an effort to escape the truth about their own productivity.Narcissistic abusers love to play the “blameshifting game.”.. Narcissists on the extreme end of the spectrum usually have no interest in self-insight or change. It’s important to cut ties and end interactions with toxic people as soon as possible so you can get centered in your own reality and validate your own identity.
.. 3. Nonsensical conversations from hell.
If you think you’re going to have a thoughtful discussion with someone who is toxic, be prepared for epic mindfuckery rather than conversational mindfulness.
Malignant narcissists and sociopaths use word salad, circular conversations, ad hominem arguments, projection and gaslighting to disorient you and get you off track should you ever disagree with them or challenge them in any way. They do this in order to discredit, confuse and frustrate you, distract you from the main problem and make you feel guilty for being a human being with actual thoughts and feelings that might differ from their own. In their eyes, you are the problem if you happen to exist.
Spend even ten minutes arguing with a toxic narcissist and you’ll find yourself wondering how the argument even began at all. You simply disagreed with them about their absurd claim that the sky is red and now your entire childhood, family, friends, career and lifestyle choices have come under attack. That is because your disagreement picked at their false belief that they are omnipotent and omniscient, resulting in a narcissistic injury.
.. 4. Blanket statements and generalizations.
Malignant narcissists aren’t always intellectual masterminds – many of them are intellectually lazy. Rather than taking the time to carefully consider a different perspective, they generalize anything and everything you say, making blanket statements that don’t acknowledge the nuances in your argument or take into account the multiple perspectives you’ve paid homage to.
5. Deliberately misrepresenting your thoughts and feelings to the point of absurdity.
.. Let’s say you bring up the fact that you’re unhappy with the way a toxic friend is speaking to you. In response, he or she may put words in your mouth, saying, “Oh, so now you’re perfect?” or “So I am a bad person, huh?” when you’ve done nothing but express your feelings. This enables them to invalidate your right to have thoughts and emotions about their inappropriate behavior and instills in you a sense of guilt when you attempt to establish boundaries.
This is also a popular form of diversion and cognitive distortion that is known as “mind reading.” Toxic people often presume they know what you’re thinking and feeling. They chronically jump to conclusions based on their own triggers rather than stepping back to evaluate the situation mindfully.
.. Notorious for putting words in your mouth, they depict you as having an intention or outlandish viewpoint you didn’t possess. They accuse you of thinking of them as toxic – even before you’ve gotten the chance to call them out on their behavior – and this also serves as a form of preemptive defense.
.. Simply stating, “I never said that,” and walking away should the person continue to accuse you of doing or saying something you didn’t can help to set a firm boundary in this type of interaction. So long as the toxic person can blameshift and digress from their own behavior, they have succeeded in convincing you that you should be “shamed” for giving them any sort of realistic feedback.
6. Nitpicking and moving the goal posts.
The difference between constructive criticism and destructive criticism is the presence of a personal attack and impossible standards. These so-called “critics” often don’t want to help you improve, they just want to nitpick, pull you down and scapegoat you in any way they can. Abusive narcissists and sociopaths employ a logical fallacy known as “moving the goalposts” in order to ensure that they have every reason to be perpetually dissatisfied with you. This is when, even after you’ve provided all the evidence in the world to validate your argument or taken an action to meet their request, they set up another expectation of you or demand more proof.
.. The goal posts will perpetually change and may not even be related to each other; they don’t have any other point besides making you vie for the narcissist’s approval and validation.
.. By raising the expectations higher and higher each time or switching them completely, highly manipulative and toxic people are able to instill in you a pervasive sense of unworthiness and of never feeling quite “enough.” By pointing out one irrelevant fact or one thing you did wrong and developing a hyperfocus on it, narcissists get to divert from your strengths and pull you into obsessing over any flaws or weaknesses instead.
They get you thinking about the next expectation of theirs you’re going to have to meet – until eventually you’ve bent over backwards trying to fulfill their every need – only to realize it didn’t change the horrific way they treated you.
.. their motive isn’t to better understand. It’s to further provoke you into feeling as if you have to constantly prove yourself. Validate and approve of yourself. Know that you are enough and you don’t have to be made to feel constantly deficient or unworthy in some way.
..7. Changing the subject to evade accountability.
This type of tactic is what I like to call the “What about me?” syndrome. It is a literal digression from the actual topic that works to redirect attention to a different issue altogether. Narcissists don’t want you to be on the topic of holding them accountable for anything, so they will reroute discussions to benefit them. Complaining about their neglectful parenting? They’ll point out a mistake you committed seven years ago. This type of diversion has no limits in terms of time or subject content, and often begins with a sentence like “What about the time when…”
.. A discussion about gay rights, for example, may be derailed quickly by someone who brings in another social justice issue just to distract people from the main argument.
.. that doesn’t mean that the issues that are being brought up don’t matter, it just means that the specific time and place may not be the best context to discuss them.
.. Don’t be derailed – if someone pulls a switcheroo on you, you can exercise what I call the “broken record” method and continue stating the facts without giving in to their distractions. Redirect their redirection by saying, “That’s not what I am talking about. Let’s stay focused on the real issue.” If they’re not interested, disengage and spend your energy on something more constructive
.. 8. Covert and overt threats.
Narcissistic abusers and otherwise toxic people feel very threatened when their excessive sense of entitlement, false sense of superiority and grandiose sense of self are challenged in any way. They are prone to making unreasonable demands on others – while punishing you for not living up to their impossible to reach expectations.
.. Rather than tackle disagreements or compromises maturely, they set out to divert you from your right to have your own identity and perspective by attempting to instill fear in you about the consequences of disagreeing or complying with their demands. To them, any challenge results in an ultimatum and “do this or I’ll do that” becomes their daily mantra.
If someone’s reaction to you setting boundaries or having a differing opinion from your own is to threaten you into submission, whether it’s a thinly veiled threat or an overt admission of what they plan to do, this is a red flag of someone who has a high degree of entitlement and has no plans of compromising. Take threats seriously and show the narcissist you mean business; document threats and report them whenever possible and legally feasible.
Narcissists preemptively blow anything they perceive as a threat to their superiority out of proportion. In their world, only they can ever be right and anyone who dares to say otherwise creates a narcissistic injury that results in narcissistic rage. As Mark Goulston, M.D. asserts, narcissistic rage does not result from low self-esteem but rather a high sense of entitlement and false sense of superiority.
The lowest of the low resort to narcissistic rage in the form of name-calling when they can’t think of a better way to manipulate your opinion or micromanage your emotions. Name-calling is a quick and easy way to put you down, degrade you and insult your intelligence, appearance or behavior while invalidating your right to be a separate person with a right to his or her perspective.
Name-calling can also be used to criticize your beliefs, opinions and insights. A well-researched perspective or informed opinion suddenly becomes “silly” or “idiotic” in the hands of a malignant narcissist or sociopath who feels threatened by it and cannot make a respectful, convincing rebuttal.
Rather than target your argument, they target you as a person and seek to undermine your credibility and intelligence in any way they possibly can. It’s important to end any interaction that consists of name-calling and communicate that you won’t tolerate it. Don’t internalize it: realize that they are resorting to name-calling because they are deficient in higher level methods.
10. Destructive conditioning.
Toxic people condition you to associate your strengths, talents, and happy memories with abuse, frustration and disrespect. They do this by sneaking in covert and overt put-downs about the qualities and traits they once idealized as well as sabotaging your goals, ruining celebrations, vacations and holidays. They may even isolate you from your friends and family and make you financially dependent upon them. Like Pavlov’s dogs, you’re essentially “trained” over time to become afraid of doing the very things that once made your life fulfilling.
Narcissists, sociopaths, psychopaths and otherwise toxic people do this because they wish to divert attention back to themselves and how you’re going to please them. If there is anything outside of them that may threaten their control over your life, they seek to destroy it. They need to be the center of attention at all times.
.. Narcissists are also naturally pathologically envious and don’t want anything to come in between them and their influence over you. Your happiness represents everything they feel they cannot have in their emotionally shallow lives. After all, if you learn that you can get validation, respect and love from other sources besides the toxic person, what’s to keep you from leaving them?
.. 11. Smear campaigns and stalking.
When toxic types can’t control the way you see yourself, they start to control how others see you; they play the martyr while you’re labeled the toxic one. A smear campaign is a preemptive strike to sabotage your reputation and slander your name so that you won’t have a support network to fall back on lest you decide to detach and cut ties with this toxic person.
They may even stalk and harass you or the people you know as a way to supposedly “expose” the truth about you; this exposure acts as a way to hide their own abusive behavior while projecting it onto you.
Some smear campaigns can even work to pit two people or two groups against each other. A victim in an abusive relationship with a narcissist often doesn’t know what’s being said about them during the relationship, but they eventually find out the falsehoods shortly after they’ve been discarded.
Toxic people will gossip behind your back (and in front of your face), slander you to your loved ones or their loved ones, create stories that depict you as the aggressor while they play the victim, and claim that you engaged in the same behaviors that they are afraid you will accuse them of engaging in. They will also methodically, covertly and deliberately abuse you so they can use your reactions as a way to prove that they are the so-called “victims” of your abuse.
The best way to handle a smear campaign is to stay mindful of your reactions and stick to the facts. This is especially pertinent for high-conflict divorces with narcissists who may use your reactions to their provocations against you. Document any form of harassment, cyberbullying or stalking incidents and always speak to your narcissist through a lawyer whenever possible.
.. Your character and integrity will speak for itself when the narcissist’s false mask begins to slip.
.. 12. Love-bombing and devaluation.
Narcissistic abusers do this all the time – they devalue their exes to their new partners, and eventually the new partner starts to receive the same sort of mistreatment as the narcissist’s ex-partner. Ultimately what will happen is that you will also be on the receiving end of the same abuse. You will one day be the ex-partner they degrade to their new source of supply. You just don’t know it yet. That’s why it’s important to stay mindful of the love-bombing technique whenever you witness behavior that doesn’t align with the saccharine sweetness a narcissist subjects you to.
.. slowing things down with people you suspect may be toxic is an important way of combating the love-bombing technique. Be wary of the fact that how a person treats or speaks about someone else could potentially translate into the way they will treat you in the future.
.. 13. Preemptive defense.
When someone stresses the fact that they are a “nice guy” or girl, that you should “trust them” right away or emphasizes their credibility without any provocation from you whatsoever, be wary.
Toxic and abusive people overstate their ability to be kind and compassionate. They often tell you that you should “trust” them without first building a solid foundation of trust. They may “perform” a high level of sympathy and empathy at the beginning of your relationship to dupe you, only to unveil their false mask later on. When you see their false mask begins to slip periodically during the devaluation phase of the abuse cycle, the true self is revealed to be terrifyingly cold, callous and contemptuous.
.. Genuinely nice people rarely have to persistently show off their positive qualities – they exude their warmth more than they talk about it and they know that actions speak volumes more than mere words.
.. To counter a preemptive defense, reevaluate why a person may be emphasizing their good qualities. Is it because they think you don’t trust them, or because they know you shouldn’t?
.. 14. Triangulation.
Bringing in the opinion, perspective or suggested threat of another person into the dynamic of an interaction is known as “triangulation.” Often used to validate the toxic person’s abuse while invalidating the victim’s reactions to abuse, triangulation can also work to manufacture love triangles that leave you feeling unhinged and insecure.
Malignant narcissists love to triangulate their significant other with strangers, co-workers, ex-partners, friends and even family members in order to evoke jealousy and uncertainty in you. They also use the opinions of others to validate their point of view.
.. This is a diversionary tactic meant to pull your attention away from their abusive behavior and into a false image of them as a desirable, sought after person. It also leaves you questioning yourself – if Mary did agree with Tom, doesn’t that mean that you must be wrong? The truth is, narcissists love to “report back” falsehoods about others say about you, when in fact, they are the ones smearing you.
.. To resist triangulation tactics, realize that whoever the narcissist is triangulating with is also being triangulated by your relationship with the narcissist as well. Everyone is essentially being played by this one person. Reverse “triangulate” the narcissist by gaining support from a third party that is not under the narcissist’s influence – and also by seeking your own validation.
.. 15. Bait and feign innocence.
Toxic individuals lure you into a false sense of security simply to have a platform to showcase their cruelty. Baiting you into a mindless, chaotic argument can escalate into a showdown rather quickly with someone who doesn’t know the meaning of respect. A simple disagreement may bait you into responding politely initially, until it becomes clear that the person has a malicious motive of tearing you down.
.. Remember: narcissistic abusers have learned about your insecurities, the unsettling catchphrases that interrupt your confidence, and the disturbing topics that reenact your wounds – and they use this knowledge maliciously to provoke you.
After you’ve fallen for it, hook line and sinker, they’ll stand back and innocently ask whether you’re “okay” and talk about how they didn’t “mean” to agitate you. This faux innocence works to catch you off guard and make you believe that they truly didn’t intend to hurt you, until it happens so often you can’t deny the reality of their malice any longer.
- .. Provocative statements,
- hurtful accusations or
- unsupported generalizations, for example,
are common baiting tactics.
16. Boundary testing and hoovering.
Narcissists, sociopaths and otherwise toxic people continually try and test your boundaries to see which ones they can trespass. The more violations they’re able to commit without consequences, the more they’ll push the envelope.
That’s why survivors of emotional as well as physical abuse often experience even more severe incidents of abuse each and every time they go back to their abusers.
.. In the abuser’s sick mind, this boundary testing serves as a punishment for standing up to the abuse and also for being going back to it. When narcissists try to press the emotional reset button, reinforce your boundaries even more strongly rather than backtracking on them.
Remember – highly manipulative people don’t respond to empathy or compassion. They respond to consequences.
17. Aggressive jabs disguised as jokes.
Covert narcissists enjoy making malicious remarks at your expense. These are usually dressed up as “just jokes” so that they can get away with saying appalling things while still maintaining an innocent, cool demeanor. Yet any time you are outraged at an insensitive, harsh remark, you are accused of having no sense of humor. This is a tactic frequently used in verbal abuse.
The contemptuous smirk and sadistic gleam in their eyes gives it away, however – like a predator that plays with its food, a toxic person gains pleasure from hurting you and being able to get away with it. After all, it’s just a joke, right?
Wrong. It’s a way to gaslight you into thinking their abuse is a joke – a way to divert from their cruelty and onto your perceived sensitivity. It is important that when this happens, you stand up for yourself and make it clear that you won’t tolerate this type of behavior.
Calling out manipulative people on their covert put-downs may result in further gaslighting from the abuser but maintain your stance that their behavior is not okay and end the interaction immediately if you have to.
18. Condescending sarcasm and patronizing tone.
Belittling and degrading a person is a toxic person’s forte and their tone of voice is only one tool in their toolbox. Sarcasm can be a fun mode of communication when both parties are engaged, but narcissists use it chronically as a way to manipulate you and degrade you. If you in any way react to it, you must be “too sensitive.”
Forget that the toxic person constantly has temper tantrums every time their big bad ego is faced with realistic feedback – the victim is the hypersensitive one, apparently.
.. So long as you’re treated like a child and constantly challenged for expressing yourself, you’ll start to develop a sense of hypervigilance about voicing your thoughts and opinions without reprimand. This self-censorship enables the abuser to put in less work in silencing you, because you begin to silence yourself.
“You should be ashamed of yourself” is a favorite saying of toxic people. Though it can be used by someone who is non-toxic, in the realm of the narcissist or sociopath, shaming is an effective method that targets any behavior or belief that might challenge a toxic person’s power. It can also be used to destroy and whittle away at a victim’s self-esteem: if a victim dares to be proud of something, shaming the victim for that specific trait, quality or accomplishment can serve to diminish their sense of self and stifle any pride they may have.
.. Malignant narcissists, sociopaths and psychopaths enjoy using your own wounds against you – so they will even shame you about any abuse or injustice you’ve suffered in your lifetime as a way to retraumatize you. Were you a childhood abuse survivor? A malignant narcissist or sociopath will claim that you must’ve done something to deserve it, or brag about their own happy childhood as a way to make you feel deficient and unworthy.
What better way to injure you, after all, than to pick at the original wound? As surgeons of madness, they seek to exacerbate wounds, not help heal them.
If you suspect you’re dealing with a toxic person, avoid revealing any of your vulnerabilities or past traumas. Until they’ve proven their character to you, there is no point disclosing information that could be potentially used against you.
Most importantly, toxic abusers love to maintain control in whatever way they can. They isolate you, maintain control over your finances and social networks, and micromanage every facet of your life. Yet the most powerful mechanism they have for control is toying with your emotions.
That’s why abusive narcissists and sociopaths manufacture situations of conflict out of thin air to keep you feeling off center and off balanced. That’s why they chronically engage in disagreements about irrelevant things and rage over perceived slights. That’s why they emotionally withdraw, only to re-idealize you once they start to lose control. That’s why they vacillate between their false self and their true self, so you never get a sense of psychological safety or certainty about who your partner truly is.