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He tries to break free of narrow specialization and cross the boundaries between scientific disciplines. Expeditions beyond economics’ borders and its connection to history, philosophy, psychology, and ancient myths are not only refreshing, but necessary for understanding the world of the twenty-first century.

Reality is spun from stories, not from material. Zdeněk Neubauer

Before it was emancipated as a field, economics lived happily within subsets of philosophy—ethics, for example—miles away from today’s concept of economics as a mathematical-allocative science that views “soft sciences” with a scorn born from positivistic arrogance. But our thousand-year “education” is built on a deeper, broader, and oftentimes more solid base. It is worth knowing about.

The study of the history of a certain field is not, as is commonly held, a useless display of its blind alleys or a collection of the field’s trials and errors (until we got it right), but history is the fullest possible scope of study of a menu that the given field can offer.

History of thought helps us to get rid of the intellectual brainwashing of the age, to see through the intellectual fashion of the day, and to take a couple of steps back.

“The separation between the history of a science, its philosophy, and the science itself dissolves into thin air, and so does the separation between science and non-science; differences between the scientific and unscientific are vanishing.”

we seek to chart the development of the economic ethos. We ask questions that come before any economic thinking can begin—both philosophically and, to a degree, historically. The area here lies at the very borders of economics—and often beyond. We may refer to this as protoeconomics (to borrow a term from protosociology) or, perhaps more fittingly, metaeconomics (to borrow a term from metaphysics).

stories; Adam Smith believed. As he puts it in The Theory of Moral Sentiments, “the desire of being believed, or the desire of persuading, of leading and directing other people, seems to be one of the strongest of all our natural desires.”

“The human mind is built to think in terms of narratives … in turn, much of human motivation comes from living through a story of our lives, a story that we tell to ourselves and that creates a framework of our motivation. Life could be just ‘one damn thing after another’ if it weren’t for such stories. The same is true for confidence in a nation, a company, or an institution. Great leaders are foremost creators of stories.”

contrary to what our textbooks say, economics is predominantly a normative field. Economics not only describes the world but is frequently about how the world should be (it should be effective, we have an ideal of perfect competition, an ideal of high-GDP growth in low inflation, the effort to achieve high competitiveness …). To this end, we create models, modern parables,

I will try to show that mathematics, models, equations, and statistics are just the tip of the iceberg of economics; that the biggest part of the iceberg of economic knowledge consists of everything else; and that disputes in economics are rather a battle of stories and various metanarratives than anything else.

That is the reason for this book: to look for economic thought in ancient myths and, vice versa, to look for myths in today’s economics.

is a paradox that a field that primarily studies values wants to be value-free. One more paradox is this: A field that believes in the invisible hand of the market wants to be without mysteries.

The History of Animal Spirits: Dreams Never Sleep

The more important elements of a culture or field of inquiry such as economics are found in fundamental assumptions that adherents of all the various systems within the epoch unconsciously presuppose. Such assumptions appear so obvious that people do not know what they are assuming, because no other way of putting things has ever occurred to them, as the philosopher Alfred Whitehead notes in Adventures of Ideas.

I argue that economic questions were with mankind long before Adam Smith. I argue that the search for values in economics did not start with Adam Smith but culminated with him.

We should go beyond economics and study what beliefs are “behind the scenes,” ideas that have often become the dominant yet unspoken assumptions in our theories. Economics is surprisingly full of tautologies that economists are predominantly unaware of. I

argue that economics should seek, discover, and talk about its own values, although we have been taught that economics is a value-free science. I argue that none of this is true and that there is more religion, myth, and archetype in economics than there is mathematics.

In a way, this is a study of the evolution of both homo economicus and, more importantly, the history of the animal spirits within him. This book tries to study the evolution of the rational as well as the emotional and irrational side of human beings.

I argue that his most influential contribution to economics was ethical. His other thoughts had been clearly expressed long before him, whether on specialization, or on the principle of the invisible hand of the market. I try to show that the principle of the invisible hand of the market is much more ancient and developed long before Adam Smith. Traces of it appear even in the Epic of Gilgamesh, Hebrew thought, and in Christianity, and it is expressly stated by Aristophanes and Thomas Aquinas.

This is not a book on the thorough history of economic thought. The author aims instead to supplement certain chapters on the history of economic thought with a broader perspective and analysis of the influences that often escape the notice of economists and the wider public.

Progress (Naturalness and Civilization)

The Economy of Good and Evil

from his beginnings, man has been marked as a naturally unnatural creature, who for unique reasons surrounds himself with external possessions. Insatiability, both material and spiritual, are basic human metacharacteristics, which appear as early as the oldest myths and stories.

the Hebrews, with linear time, and later the Christians gave us the ideal (or amplified the Hebrew ideal) we now embrace. Then the classical economists secularized progress. How did we come to today’s progression of progress, and growth for growth’s sake?

The Need for Greed: The History of Consumption and Labor

Metamathematics From where did economics get the concept of numbers as the very foundation of the world?

mathematics at the core of economics, or is it just the icing of the cake, the tip of the iceberg of our field’s inquiry?

idea that we can manage to utilize our natural egoism, and that this evil is good for something, is an ancient philosophical and mythical concept. We will also look into the development of the ethos of homo economicus, the birth of “economic man.”

All of economics is, in the end, economics of good and evil. It is the telling of stories by people of people to people. Even the most sophisticated mathematical model is, de facto, a story, a parable, our effort to (rationally) grasp the world around us.

Masters of the Truth

Originally, truth was a domain of poems and stories, but today we perceive truth as something much more scientific, mathematical. Where does one go (to shop) for the truth? And who “has the truth” in our epoch?

Our animal spirits (something of a counterpart to rationality) are influenced by the archetype of the hero and our concept of what is good.

The entire history of ethics has been ruled by an effort to create a formula for the ethical rules of behavior. In the final chapter we will show the tautology of Max Utility, and we will discuss the concept of Max Good.

The History of the Invisible Hand of the Market and Homo Economicus

We understand “economics” to mean a broader field than just the production, distribution, and consumption of goods and services. We consider economics to be the study of human relations that are sometimes expressible in numbers, a study that deals with tradables, but one that also deals with nontradables (friendship, freedom, efficiency, growth).

When we mention economics in this book, we mean the mainstream perception of it, perhaps as best represented by Paul Samuelson.

By the term homo economicus, we mean the primary concept of economic anthropology. It comes from the concept of a rational individual, who, led by narrowly egotistical motives, sets out to maximize his benefit.

the Epic of Gilgamesh bears witness to the opposite—despite the fact that the first written clay fragments (such as notes and bookkeeping) of our ancestors may have been about business and war, the first written story is mainly about great friendship and adventure.

is a story of nature and civilization, of heroism, defiance, and the battle against the gods, and evil; an epic about wisdom, immortality, and also futility.

Even today we live in Gilgamesh’s vision that human relations—and therefore humanity itself—are a disturbance to work and efficiency; that people would perform better if they did not “waste” their time and energy on nonproductive things.

But it is in friendship where—often by-the-way, as a side product, an externality—ideas and deeds are frequently performed or created that together can altogether change the face of society.19 Friendship can go against an ingrained system in places where an individual does not have the courage to do so himself or herself.

started with Babylonians—rural nature becomes just a supplier of raw materials, resources (and humans the source of human resources). Nature is not the garden in which humans were created and placed, which they should care for and which they should reside in, but becomes a mere reservoir for natural (re)sources.

To be human seems to be somewhere in between, or both of these two. We

The entire history of culture is dominated by an effort to become as independent as possible from the whims of nature.39 The more developed a civilization is, the more an individual is protected from nature and natural influences and knows how to create around him a constant or controllable environment to his liking.

The epic captures one of the greatest leaps in the development of the division of labor. Uruk itself is one of the oldest cities of all, and in the epic it reflects a historic step forward in specialization—in the direction of a new social city arrangement. Because of the city wall, people in the city can devote themselves to things other than worrying about their own safety, and they can continue to specialize more deeply.

“The chief thing which the common-sense individual wants is not satisfactions for the wants he had, but more, and better wants.”47

If a consumer buys something, theoretically it should rid him of one of his needs—and the aggregate of things they need should be decreased by one item. In reality, though, the aggregate of “I want to have” expands together with the growing aggregate of “I have.”

the Old Testament, this relationship is perceived completely differently. Man (humanity) is created in nature, in a garden. Man was supposed to care for the Garden of Eden and live in harmony with nature and the animals. Soon after creation, man walks naked and is not ashamed, de facto the same as the animals. What is characteristic is that man dresses (the natural state of creation itself is not enough for him), and he (literally and figuratively) covers52 himself—in shame after the fall.53

Nature is where one goes to hunt, collect crops, or gather the harvest. It is perceived as the saturator of our needs and nothing more. One goes back to the city to sleep and be “human.” On the contrary, evil resides in nature. Humbaba lives in the cedar forest, which also happens to be the reason to completely eradicate it.

Symbolically, then, we can view the entire issue from the standpoint of the epic in the following way: Our nature is insufficient, bad, evil, and good (humane) occurs only after emancipation from nature (from naturalness), through culturing and education. Humanity is considered as being in civilization.

The city was frequently (at least in older Jewish writings) a symbol of sin, degeneration, and decadence—nonhumanity. The Hebrews were originally a nomadic nation, one that avoided cities. It is no accident that the first important city57 mentioned in the Bible is proud Babylon,58 which God later turns to dust.

is enough, for example, to read the Book of Revelation to see how the vision of paradise developed from the deep Old Testament period, when paradise was a garden. John describes his vision of heaven as a city—paradise is in New Jerusalem, a city where the dimensions of the walls(!) are described in detail, as are the golden streets and gates of pearl.

Hebrews later also chose a king (despite the unanimous opposition of God’s prophets) and settled in cities, where they eventually founded the Lord’s Tabernacle and built a temple for Him. The city of Jerusalem later gained an illustrious position in all of religion.

this time Christianity (as well as the influence of the Greeks) does not consider human naturalness to be an unambiguous good, and it does not have such an idyllic relationship to nature as the Old Testament prophets.

If a tendency toward good is not naturally endowed in people, it must be imputed from above through violence or at least the threat of violence.

If we were to look at human naturalness as a good, then collective social actions need a much weaker ruling hand. If people themselves have a natural tendency (propensity) toward good, this role does not have to be supplied by the state, ruler, or, if you wish, Leviathan.

How does this affect economics?

us return for the last time to the humanization of the wild Enkidu, which is a process we can perceive with a bit of imagination as the first seed of the principle of the market’s invisible hand, and therefore the parallels with one of the central schematics of economic thinking.

Sometimes it is better to “harness the devil to the plow” than to fight with him. Instead of summoning up enormous energy in the fight against evil, it is better to use its own energy to reach a goal we desire; setting up a mill on the turbulent river instead of futile efforts to remove the current. This is also how Saint Prokop approached it in one of the oldest Czech legends.

Enkidu caused damage and it was impossible to fight against him. But with the help of a trap, trick, this evil was transformed into something that greatly benefited civilization.

By culturing and “domesticating” Enkidu, humanity tamed the uncontrollable wild and chaotic evil

Enkidu devastated the doings (the external, outside-the-walls) of the city. But he was later harnessed and fights at the side of civilization against nature, naturalness, the natural state of things.

A similar story (reforming something animally wild and uncultivated in civilizational achievement) is used by Thomas Aquinas in his teachings. Several centuries later, this idea is fully emancipated in the hands of Bernard Mandeville and his Fable of the Bees: or, Private Vices, Publick Benefits. The economic and political aspects of this idea are—often incorrectly—ascribed to Adam Smith.

Here the individual does not try anymore to maximize his goods or profits, but what is important is writing his name in human memory in the form of heroic acts or deeds.

immortality, one connected with letters and the cult of the word: A name and especially a written name survives the body.”77

After this disappointment, he comes to the edge of the sea, where the innkeeper Siduri lives. As tonic for his sorrow, she offers him the garden of bliss, a sort of hedonistic fortress of carpe diem, where a person comes to terms with his mortality and at least in the course of the end of his life maximizes earthly pleasures, or earthly utility.

In the second stage, after finding his friend Enkidu, Gilgamesh abandons the wall and sets out beyond the city to maximalize heroism. “In his (…) search of immortal life, Gilgamesh

The hero refuses hedonism in the sense of maximizing terrestrial pleasure and throws himself into things that will exceed his life. In the blink of an eye, the epic turns on its head the entire utility maximization role that mainstream economics has tirelessly tried to sew on people as a part of their nature.81

today remember Gilgamesh for his story of heroic friendship with Enkidu, not for his wall, which no longer reaches monumental heights.

the eleventh and final tablet, Gilgamesh again loses what he sought. Like Sisyphus, he misses his goal just before the climax

The very existence of questions similar to today’s economic ones can be considered as the first observation. The first written considerations of the people of that time were not so different from those today. In other words: The epic is understandable for us, and we can identify with it.

We have also been witnesses to the very beginnings of man’s culturing—a great drama based on a liberation and then a distancing from the natural state.

Let us take this as a memento in the direction of our restlessness, our inherited dissatisfaction and the volatility connected to it. Considering that they have lasted five thousand years and to this day we find ourselves in harmony with a certain feeling of futility, perhaps these characteristics are inherent in man.

with the phenomenon of the creation of the city, we have seen how specialization and the accumulation of wealth was born, how holy nature was transformed into a secular supplier of resources, and also how humans’ individualistic ego was emancipated.

For small acts (hunting together, work in a factory), small love is enough: Camaraderie. For great acts, however, great love is necessary, real love: Friendship. Friendship that eludes the economic understanding of quid pro quo. Friendship gives. One friend gives (fully) for the other. That is friendship for life and death,

less a civilized, city person is dependent on nature, the more he or she is dependent on the rest of society. Like Enkidu, we have exchanged nature for society; harmony with (incalculable) nature for harmony with (incalculable) man.

human nature good or evil? To this day these questions are key for economic policy: If we believe that man is evil in his nature, therefore that a person himself is dog eat dog (animal), then the hard hand of a ruler is called for. If we believe that people in and of themselves, in their nature, gravitate toward good, then it is possible to loosen up the reins and live in a society that is more laissez-faire.

For a concept of historical progress, for the undeification of heroes, rulers, and nature, mankind had to wait for the Hebrews.

Because nature is not undeified, it is beyond consideration to explore it, let alone intervene in it (unless a person was a two-thirds god like Gilgamesh). It

As early as the “dark” ages, the Jews commonly used economic tools that were in many ways ahead of their time and that later became key elements of the modern economy:

Gilgamesh’s story ends where it began. There is a consistency in this with Greek myths and fables: At the end of the story, no progress occurs, no essential historic change; the story is set in indefinite time, something of a temporal limbo.

For a nation originally based on nomadism, where did this Jewish business ethos come from? And can the Hebrews truly be considered as the architects of the values that set the direction of our civilization’s economic thought?

PROGRESS: A SECULARIZED RELIGION One of the things the writers of the Old Testament gave to mankind is the idea and notion of progress. The Old Testament stories have their development; they change the history of the Jewish nation and tie in to each other. The Jewish understanding of time is linear—it has a beginning and an end.

The observance of God’s Commandments in Judaism leads not to some ethereal other world, but to an abundance of material goods (Genesis 49:25–26, Leviticus 26:3–13, Deuteronomy 28:1–13) (…) There are no accusing fingers pointed at

There are no echoes of asceticism nor for the cleansing and spiritual effect of poverty. It is fitting therefore, that the founders of Judaism, the Patriarchs Abraham, Isaac and Jacob, were all wealthy men.12

about due to a linear understanding of history. If history has a beginning as well as an end, and they are not the same point, then exploration suddenly makes sense in areas where the fruits are borne only in the next generation.

however, the idea of progress itself underwent major changes, and today we perceive it very differently. As opposed to the original spiritual conceptions, today we perceive progress almost exclusively in an economic or scientific-technological sense.

Because care for the soul has today been replaced by care for external things,

This is why we must constantly grow, because we (deep down and often implicitly) believe that we are headed toward an (economic) paradise on Earth.

Only since the period of scientific-technological revolution (and at a time when economics was born as an independent field) is material progress automatically assumed.

Jewish thought is the most grounded, most realistic school of thought of all those that have influenced our culture.17 An abstract world of ideas was unknown to the Jews. To this day it is still forbidden to even depict God, people, and animals in symbols, paintings, statues, and drawings.

economists have become key figures of great importance in our time (Kacířské eseje o filosofii dějin [Heretical Essays in the Philosophy of History]). They are expected to perform interpretations of reality, give prophetic services (macroeconomic forecasts), reshape reality (mitigate the impacts of the crisis, speed up growth), and, in the long run, provide leadership on the way to the Promised Land—paradise on Earth.

REALISM AND ANTIASCETICISM Aside from ideas of progress, the Hebrews brought another very fundamental contribution to our culture: The desacralization of heroes, nature, and rulers.

Voltaire writes: “It certain fact is, that in his public laws he [Moses] never so much as once made mention of a life to come, limiting all punishments and all rewards to the present life.”21

As opposed to Christianity, the concept of an extraterrestrial paradise or heaven was not developed much in Hebrew thought.19 The paradise of the Israelites—Eden—was originally placed on Earth at a given place in Mesopotamia20 and at a given time,

The Hebrews consider the world to be real—not just a shadow reflection of a better world somewhere in the cloud of ideas, something the usual interpretation of history ascribes to Plato. The soul does not struggle against the body and is not its prisoner, as Augustine would write later.

The land, the world, the body, and material reality are for Jews the paramount setting for divine history, the pinnacle of creation. This idea is the conditio sine qua non of the development of economics, something of an utterly earthly making,

The mythology of the hero-king was strongly developed in that period, which Claire Lalouette summarizes into these basic characteristics: Beauty (a perfect face, on which it is “pleasant to look upon,” but also “beauty,” expressed in the Egyptian word nefer, not only means aesthetics, but contains moral qualities as well),

THE HERO AND HIS UNDEIFICATION: THE DREAM NEVER SLEEPS The concept of the hero is more important than it might appear. It may be the remote origin of Keynes’s animal spirits, or the desire to follow a kind of internal archetype that a given individual accepts as his own and that society values.

This internal animator of ours, our internal mover, this dream, never sleeps and it influences our behavior—including economic behavior—more than we want to realize.

Anthropology knows several archetypes of heroes. The Polish-born American anthropologist Paul Radin examined the myths of North American Indians and, for example, in his most influential book, The Trickster, he describes their four basic archetypes of heroes.

The Torah’s heroes (if that term can be used at all) frequently make mistakes and their mistakes are carefully recorded in the Bible—maybe precisely so that none of them could be deified.32

the Hebrew heroes correspond most to the Tricksters, the Culture Bearers, and the Twins. The divine muscleman, that dominant symbol we think of when we say hero, is absent here.

Undeification, however, does not mean a call to pillage or desecration; man was put here to take care of nature (see the story of the Garden of Eden or the symbolism of the naming of the animals). This protection and care of nature is also related to the idea of progress

For the heroes who moved our civilization to where it is today, the heroic archetypes of the cunning trickster, culture bearer, and sufferer are rather more appropriate.

the Old Testament strongly emphasizes the undeification of nature.37 Nature is God’s creation, which speaks of divinity but is not the domain of moody gods

in an Old Testament context, the pharaoh was a mere man (whom one could disagree with, and who could be resisted!).

RULERS ARE MERE MEN In a similar historical context, the Old Testament teachings carried out a similar desacralization of rulers, the so-called bearers of economic policy.

Ultimately the entire idea of a political ruler stood against the Lord’s will, which is explicitly presented in the Torah. The Lord unequivocally preferred the judge as the highest form of rule—an

The needs of future generations will have to be considered; after all humankind are the guardians of God’s world. Waste of natural resources, whether privately owned or nationally owned is forbidden.”39

Politics lost its character of divine infallibility, and political issues were subject to questioning. Economic policy could become a subject of examination.

44 God first creates with the word and then on individual days He divides light from darkness, water from dry land, day from night, and so forth—and He gives order to things.45 The world is created orderly— it is wisely, reasonably put together. The way of the world is put together at least partially46 decipherably by any other wise and reasonable being who honors rational rules.

THE PRAISE OF ORDER AND WISDOM: MAN AS A PERFECTER OF CREATION The created world has an order of sorts, an order recognizable by us as people,

From the very beginning, when God distances Himself from the entire idea, there is an anticipation that there is nothing holy, let alone divine, in politics. Rulers make mistakes, and it is possible to subject them to tough criticism—which frequently occurs indiscriminately through the prophets in the Old Testament.

Hebrew culture laid the foundations for the scientific examination of the world.

Examining the world is therefore an absolutely legitimate activity, and one that is even requested by God—it is a kind of participation in the Creator’s work.51 Man is called on to understand himself and his surroundings and to use his knowledge for good.

The Book of Proverbs emphasizes specifically several times that it was wisdom that was present at the creation of the world. Wisdom personified calls out:

The last act, final stroke of the brush of creation, naming of the animals—this act is given to a human, it is not done by God, as one would expect. Man was given the task of completing the act of creation that the Lord began:

MAN AS A FINISHER OF CREATION The creation of the world, as it is explained in Jewish teachings, is described in the Book of Genesis. Here God (i) creates, (ii) separates, and (iii) names [my emphasis]:

Naming is a symbolic expression. In Jewish culture (and also in our culture to this day), the right to name meant sovereign rights and belonged, for example, to explorers (new places), inventors (new principles), or parents (children)—that is, to those who were there at the genesis, at the origin. This right was handed over by God to mankind.

The Naming itself (the capital N is appropriate) traditionally belongs to the crowning act of the Creator and represents a kind of grand finale of creation, the last move of the brush to complete the picture—a signature of the master.

Without naming, reality does not exist; it is created together with language. Wittgenstein tightly names this in his tractatus—the limits of our language are the limits of our world.53

Reality is not a given; it is not passive. Perceiving reality and “facts” requires man’s active participation. It is man who must take the last step, an act (and we

A real-ization act on our part represents the creation of a construct, the imputation of sense and order (which is beautifully expressed by the biblical act of naming, or categorization, sorting, ordering).

God connects man with the task of guarding and protecting the Garden of Eden, and thus man actually cocreates the cultural landscape. The Czech philosopher Zdeněk Neubauer also describes this: “Such is reality, and it is so deep that it willingly crystallizes into worlds. Therefore I profess that reality is a creation and not a place of occurrence for objectively given phenomena.”61

The Jews believed the exact opposite. The world is created by a good God, and evil appears in it as a result of immoral human acts. Evil, therefore, is induced by man.66 History unwinds according to the morality of human acts.

GOOD AND EVIL IN US: A MORAL EXPLANATION OF WELL-BEING We have seen that in the Epic of Gilgamesh, good and evil are not yet addressed systematically on a moral level.

the epic, good and evil are not envisaged morally—they are not the result of an (a)moral act. Evil was not associated with free moral action or individual will.

Hebrew thought, on the other hand, deals intensively with moral good and evil. A moral dimension touches the core of its stories.65

discrepancy between savings and investment, and others are convinced of the monetary essence

The entire history of the Jewish nation is interpreted and perceived in terms of morality. Morality has become, so to speak, a mover and shaker of Hebrew history.

sunspots. The Hebrews came up with the idea that morals were behind good and bad years, behind the economic cycle. But we would be getting ahead of ourselves. Pharaoh’s Dream: Joseph and the First Business Cycle To

It is the Pharaoh’s well-known dream of seven fat and seven lean cows, which he told to Joseph, the son of Jacob. Joseph interpreted the dream as a macroeconomic prediction of sorts: Seven years of abundance were to be followed by seven years of poverty, famine, and misery.

Self-Contradicting Prophecy Here, let’s make several observations on this: Through taxation74 on the level of one-fifth of a crop75 in good years to save the crop and then open granaries in bad years, the prophecy was de facto prevented (prosperous years were limited and hunger averted—through a predecessor of fiscal stabilization).

The Old Testament prophesies therefore were not any deterministic look into the future, but warnings and strategic variations of the possible, which demanded some kind of reaction. If the reaction was adequate, what was prophesied would frequently not occur at all.

If the threat is anticipated, it is possible to totally or at least partially avoid it. Neither Joseph nor the pharaoh had the power to avoid bounty or crop failure (in this the dream interpretation was true and the appearance of the future mystical), but they avoided the impacts and implications of the prophecy (in this the interpretation of the dream was “false”)—famine did not ultimately occur in Egypt, and this was due to the application of reasonable and very intuitive economic policy.

Let us further note that the first “macroeconomic forecast” appears in a dream.

back to Torah: Later in this story we will notice that there is no reason offered as to why the cycle occurs (that will come later). Fat years will simply come, and then lean years after them.

Moral Explanation of a Business Cycle That is fundamentally different from later Hebrew interpretations, when the Jewish nation tries to offer reasons why the nation fared well or poorly. And those reasons are moral.

Only in recent times have some currents of economics again become aware of the importance of morals and trust in the form of measuring the quality of institutions, the level of justice, business ethics, corruption, and so forth, and examining their influence on the economy,

it is not within the scope of this book to answer that question; justice has been done to the question if it manages to sketch out the main contours of possible searches for answers.

THE ECONOMICS OF GOOD AND EVIL: DOES GOOD PAY OFF? This is probably the most difficult moral problem we could ask.

Inquiring about the economics of good and evil, however, is not that easy. Where would Kant’s “moral dimension of ethics” go if ethics paid? If we do good for profit, the question of ethics becomes a mere question of rationality.

He remains righteous, even if his only reward is death. What economic advantage could he have from that?

morals cannot be considered in the economic dimension of productivity and calculus. The role of the Hebrews was to do good, whether it paid off or not. If good (outgoing) is rewarded by incoming goodness, it is a bonus,99 not a reason to do outgoing good. Good and reward do not correlate to each other.

This reasoning takes on a dimension of its own in the Old Testament. Good (incoming) has already happened to us. We must do good (outgoing) out of gratitude for the good (incoming) shown to us in the past.

So why do good? After all, suffering is the fate of many biblical figures. The answer can only be: For good itself. Good has the power to be its own reward. In this sense, goodness gets its reward, which may or may not take on a material dimension.

the Hebrews offered an interesting compromise between the teachings of the Stoics and Epicureans. We will go into it in detail later, so only briefly

constraint. It calls for bounded optimalization (with limits). A kind of symbiosis existed between the legitimate search for one’s own utility (or enjoyment of life) and maintaining rules, which are not negotiable and which are not subject to optimalization.

In other words, clear (exogenously given) rules exist that must be observed and cannot be contravened. But within these borders it is absolutely possible, and even recommended, to increase utility.

To Love the Law The Jews not only had to observe the law (perhaps the word covenant would be more appropriate), but they were to love it because it was good.

the principle of doing good (outgoing) on the basis of a priori demonstrated good (incoming) was also taken over by the New Testament. Atonement itself is based on an a priori principle; all our acts are preceded by good.

THE SHACKLES OF THE CITY Owing to the Hebrew’s liberation from Egyptian slavery, freedom and responsibility become the key values of Jewish thought.

Laws given by God are binding for Jews, and God is the absolute source of all values,

The Hebrew ideal is represented by the paradise of the Garden of Eden, not a city.116 The despised city civilization or the tendency to see in it a sinful and shackling way of life appears in glimpses and allusions in many places in the Old Testament.

The nomadic Jewish ethos is frequently derived from Abraham, who left the Chaldean city of Ur on the basis of a command:

This way of life had understandably immense economic impacts. First, such a society lived in much more connected relationships, where there was no doubt that everyone mutually depended on each other. Second, their frequent wanderings meant the inability to own more than they could carry; the gathering up of material assets did not have great weight—precisely because the physical weight (mass) of things was tied to one place.

One of Moses’s greatest deeds was that he managed to explain to his nation once and for all that it is better to remain hungry and liberated than to be a slave with food “at no cost.”

SOCIAL WELFARE: NOT TO ACT IN THE MANNER OF SODOM

regulations is developed in the Old Testament, one we hardly find in any other nation of the time. In Hebrew teachings, aside from individual utility, indications of the concept of maximalizing utility societywide appear for the first time as embodied in the Talmudic principle of Kofin al midat S´dom, which can be translated as “one is compelled not to act in the manner of Sodom” and to take care of the weaker members of society.

In a jubilee year, debts were to be forgiven,125 and Israelites who fell into slavery due to their indebtedness were to be set free.126

Land at the time could be “sold,” and it was not sale, but rent. The price (rent) of real estate depended on how long there was until a forgiveness year. It was about the awareness that we may work the land, but in the last instance we are merely “aliens and strangers,” who have the land only rented to us for a fixed time. All land and riches came from the Lord.

These provisions express a conviction that freedom and inheritance should not be permanently taken away from any Israelite. Last but not least, this system reminds us that no ownership lasts forever and that the fields we plow are not ours but the Lord’s.

Glean Another social provision was the right to glean, which in Old Testament times ensured at least basic sustenance for the poorest. Anyone who owned a field had the responsibility not to harvest it to the last grain but to leave the remains in the field for the poor.

Tithes and Early Social Net Every Israelite also had the responsibility of levying a tithe from their entire crop. They had to be aware from whom all ownership comes and, by doing so, express their thanks.

“Since the community has an obligation to provide food, shelter, and basic economic goods for the needy, it has a moral right and duty to tax its members for this purpose. In line with this duty, it may have to regulate markets, prices and competition, to protect the interests of its weakest members.”135

In Judaism, charity is not perceived as a sign of goodness; it is more of a responsibility. Such a society then has the right to regulate its economy in such a way that the responsibility of charity is carried out to its satisfaction.

With a number of responsibilities, however, comes the difficulty of getting them into practice. Their fulfillment, then, in cases when it can be done, takes place gradually “in layers.” Charitable activities are classified in the Talmud according to several target groups with various priorities, classified according to, it could be said, rules of subsidiarity.

Do not mistreat an alien or oppress him, for you were aliens in Egypt.140 As one can see, aside from widows and orphans, the Old Testament also includes immigrants in its area of social protection.141 The Israelites had to have the same rules apply for them as for themselves—they could not discriminate on the basis of their origin.

ABSTRACT MONEY, FORBIDDEN INTEREST, AND OUR DEBT AGE If it appears to us that today’s era is based on money and debt, and our time will be written into history as the “Debt age,” then it will certainly be interesting to follow how this development occurred.

Money is a social abstractum. It is a social agreement, an unwritten contract.

The first money came in the form of clay tablets from Mesopotamia, on which debts were written. These debts were transferable, so the debts became currency. In the end, “It is no coincidence that in English the root of ‘credit’ is ‘credo,’ the Latin for ‘I believe.’”

To a certain extent it could be said that credit, or trust, was the first currency. It can materialize, it can be embodied in coins, but what is certain is that “money is not metal,” even the rarest metal, “it is trust inscribed,”

Inseparably, with the original credit (money) goes interest. For the Hebrews, the problem of interest was a social issue: “If you lend money to one of my people among you who is needy, do not be like a moneylender; charge him no interest.”

there were also clearly set rules setting how far one could go in setting guarantees and the nonpayment of debts. No one should become indebted to the extent that they could lose the source of their livelihood:

In the end, the term “bank” comes from the Italian banci, or the benches that Jewish lenders sat on.157

Money is playing not only its classical roles (as a means of exchange, a holder of value, etc.) but also a much greater, stronger role: It can stimulate, drive (or slow down) the whole economy. Money plays a national economic role.

In the course of history, however, the role of loans changed, and the rich borrowed especially for investment purposes,

In such a case a ban on interest did not have great ethical significance. Thomas Aquinas, a medieval scholar (1225-1274), also considers similarly; in his time, the strict ban on lending with usurious interest was loosened, possibly due to him.

As a form of energy, money can travel in three dimensions, vertically (those who have capital lend to those who do not) and horizontally (speed and freedom in horizontal or geographic motion has become the by-product—or driving force?—of globalization). But money (as opposed to people) can also travel through time.

money is something like energy that can travel through time. And it is a very useful energy, but at the same time very dangerous as well. Wherever

Aristotle condemned interest162 not only from a moral standpoint, but also for metaphysical reasons. Thomas Aquinas shared the same fear of interest and he too argued that time does not belong to us, and that is why we must not require interest.

MONEY AS ENERGY: TIME TRAVEL AND GROSS DEBT PRODUCT (GDP)

Due to this characteristic, we can energy-strip the future to the benefit of the present. Debt can transfer energy from the future to the present.163 On the other hand, saving can accumulate energy from the past and send it to the present.

labor was not considered degrading in the Old Testament. On the contrary, the subjugation of nature is even a mission from God that originally belonged to man’s very first blessings.

LABOR AND REST: THE SABBATH ECONOMY

The Jews as well as Aristotle behaved very guardedly toward loans. The issue of interest/usury became one of the first economic debates. Without having an inkling of the future role of economic policy (fiscal and monetary), the ancient Hebrews may have unwittingly felt that they were discovering in interest a very powerful weapon, one that can be a good servant, but (literally) an enslaving master as well.

It’s something like a dam. When we build one, we are preventing periods of drought and flooding in the valley; we are limiting nature’s whims and, to a large extent, avoiding its incalculable cycles. Using dams, we can regulate the flow of water to nearly a constant. With it we tame the river (and we can also gain

But if we do not regulate the water wisely, it may happen that we would overfill the dam and it would break. For the cities lying in the valley, their end would be worse than if a dam were never there.

If man lived in harmony with nature before, now, after the fall, he must fight; nature stands against him and he against it and the animals. From the Garden we have moved unto a (battle)field.

Only after man’s fall does labor turn into a curse.168 It could even be said that this is actually the only curse, the curse of the unpleasantness of labor, that the Lord places on Adam.

Both Plato and Aristotle consider labor to be necessary for survival, but that only the lower classes should devote themselves to it so that the elites would not have to be bothered with it and so that they could devote themselves to “purely spiritual matters—art, philosophy, and politics.”

Work is also not only a source of pleasure but a social standing; It is considered an honor. “Do you see a man skilled in his work? He will serve before kings.”170 None of the surrounding cultures appreciate work as much. The idea of the dignity of labor is unique in the Hebrew tradition.

Hebrew thinking is characterized by a strict separation of the sacred from the profane. In life, there are simply areas that are holy, and in which it is not allowed to economize, rationalize, or maximize efficiency.

the message of the commandment on Saturday communicated that people were not primarily created for labor.

This dimension has disappeared from today’s economics. Economic effort has no goal at which it would be possible to rest. Today we only know growth for growth’s sake, and if our company or country prospers, that does not…

the purpose of creation was not just creating but that it had an end, a goal. The process was just a process, not a purpose. The whole of Being was created so…

ancient Greek economic ethos, we will examine two extreme approaches to laws and rules. While the Stoics considered laws to be absolutely valid, and utility had infinitesimal meaning in their philosophy, the Epicureans, at least in the usual historical explanation, placed utility and pleasure in first place—rules were to be made based on the principle of utility.

CONCLUSION: BETWEEN UTILITY AND PRINCIPLE The influence of Jewish thought on the development of market democracy cannot be overestimated. The key heritage for us was the lack of ascetic perception of the world, respect to law and private…

poets actually went even further, and with their speech they shaped and established reality and truth. Honor, adventure, great deeds, and the acclaim connected with them played an important role in the establishment of the true, the real.

those who are famous will be remembered by people. They become more real, part of the story, and they start to be “realized,” “made real” in the lives of other people. That which is stored in memory is real; that which is forgotten is as if it never existed.

“epic and tragic poets were widely assumed to be the central ethical thinkers and teachers of Greece; nobody thought of their work as less serious, less aimed at truth, than the speculative prose treatises of historians and philosophers.”5 Truth and reality were hidden in speech, stories, and narration.

general? In the end, poetry could be more sensitive to the truth than the philosophical method or, later, the scientific method. “Tragic poems, in virtue of their subject matter and their social function, are likely to confront and explore problems about human beings and luck that a philosophical text might be able to omit or avoid.”8

ways of working are critical in mathematical work and when they are taught and valued, many more students contribute, leading to higher achievement

mathematics education we suffer from the widespread, distinctly American idea that only some people can be “math people.” This idea has been disproved by scientific research showing the incredible potential of the brain to grow and adapt. But the idea that math is hard, uninteresting, and accessible only to “nerds” persists. 

harsh stereotypical thinking—mathematics is for select racial groups and men. This thinking, as well as the teaching practices that go with it, have provided the perfect conditions for the creation of a math underclass.

There is a good reason for this: Justification and reasoning are two of the acts that lie at the heart of mathematics. They are, in many ways, the essence of what mathematics is.  Scientists work to prove or disprove new theories by finding many cases that work or counter-examples that do not. Mathematicians, by contrast prove the validity of their propositions through justification and reasoning.

does not simply test a mathematical definition, as the first does. It requires that students visualize a triangle, use transformational geometry, consider whether different cases satisfy the mathematical definition, and then justify their thinking.

online platform explaining research evidence on ability and the brain and on good mathematics teaching, for teachers and parents. The course had a transformative effect. It was taken by 40,000 people, and 95 percent said they would change their teaching or parenting as a result.

The young people who are successful in today’s workforce are those who can discuss and reason about productive mathematical pathways, and who can be wrong, but can trace back to errors and work to correct them.

American idea that those who are good at math are those who are fast. Speed is revered in math classes across the U.S., and students as young as five years old are given timed tests—even though these have been shown to create math anxiety in young children. Parents use flash cards and other devices to promote speed, not knowing that they are probably damaging their children’s mathematical development

The fact of being quick or slow isn't really relevant

gives more time for depth and exploration than the curricula it has replaced by removing some of the redundant methods students will never need or use.

The human problem-solvers — 609 high school students from 108 countries — won 58 gold medals, 123 silver and 145 bronze. The A.I. performed at the level of a silver medalist, solving four out of six problems for a total of 28 points. It was the first time that A.I. has achieved a medal-worthy performance on an Olympiad’s problems.

Nonetheless, Dr. Kohli described the result as a “phase transition” — a transformative change — “in the use of A.I. in mathematics and the ability of A.I. systems to do mathematics.”

Dr. Gowers added in an email: “I was definitely impressed.” The lab had discussed its Olympiad ambitions with him a couple of weeks beforehand, so “my expectations were quite high,” he said. “But the program met them, and in one or two instances significantly surpassed them.” The program found the “magic keys” that unlocked the problems, he said.

Haojia Shi, a student from China, ranked No. 1 and was the only competitor to earn a perfect score — 42 points for six problems; each problem is worth seven points for a full solution. The U.S. team won first place with 192 points; China placed second with 190.

The Google system earned its 28 points for fully solving four problems — two in algebra, one in geometry and one in number theory. (It flopped at two combinatorics problems.) The system was allowed unlimited time; for some problems it took up to three days. The students were allotted only 4.5 hours per exam.

“The fact that we’ve reached this threshold, where it’s even possible to tackle these problems at all, is what represents a step-change in the history of mathematics,” he added. “And hopefully it’s not just a step-change in the I.M.O., but also represents the point at which we went from computers only being able to prove very, very simple things toward computers being able to prove things that humans can’t.”

“Mathematics requires this interesting combination of abstract, precise and creative reasoning,” Dr. Davies said. In part, he noted, this repertoire of abilities is what makes math a good litmus test for the ultimate goal: reaching so-called artificial general intelligence, or A.G.I., a system with capabilities ranging from emerging to competent to virtuoso to superhuman

One approach was an informal reasoning system, expressed in natural language. This system leveraged Gemini, Google’s large language model. It used the English corpus of published problems and proofs and the like as training data.

Dr. Hubert’s team developed a new model that is comparable but more generalized. Named AlphaProof, it is designed to engage with a broad range of mathematical subjects. All told, AlphaGeometry and AlphaProof made use of a number of different A.I. technologies.

In January, a Google DeepMind system named AlphaGeometry solved a sampling of Olympiad geometry problems at nearly the level of a human gold medalist. “AlphaGeometry 2 has now surpassed the gold medalists in solving I.M.O. problems,” Thang Luong, the principal investigator, said in an email.

The informal system excels at identifying patterns and suggesting what comes next; it is creative and talks about ideas in an understandable way. Of course, large language models are inclined to make things up — which may (or may not) fly for poetry and definitely not for math. But in this context, the L.L.M. seems to have displayed restraint; it wasn’t immune to hallucination, but the frequency was reduced.

Another approach was a formal reasoning system, based on logic and expressed in code. It used theorem prover and proof-assistant software called Lean, which guarantees that if the system says a proof is correct, then it is indeed correct. “We can exactly check that the proof is correct or not,” Dr. Hubert said. “Every step is guaranteed to be logically sound.”

Another crucial component was a reinforcement learning algorithm in the AlphaGo and AlphaZero lineage. This type of A.I. learns by itself and can scale indefinitely, said Dr. Silver, who is Google DeepMind’s vice-president of reinforcement learning. Since the algorithm doesn’t require a human teacher, it can “learn and keep learning and keep learning until ultimately it can solve the hardest problems that humans can solve,” he said. “And then maybe even one day go beyond those.”

Dr. Hubert added, “The system can rediscover knowledge for itself.” That’s what happened with AlphaZero: It started with zero knowledge, Dr. Hubert said, “and by just playing games, and seeing who wins and who loses, it could rediscover all the knowledge of chess. It took us less than a day to rediscover all the knowledge of chess, and about a week to rediscover all the knowledge of Go. So we thought, Let’s apply this to mathematics.”

Dr. Gowers doesn’t worry — too much — about the long-term consequences. “It is possible to imagine a state of affairs where mathematicians are basically left with nothing to do,” he said. “That would be the case if computers became better, and far faster, at everything that mathematicians currently do.”

“There still seems to be quite a long way to go before computers will be able to do research-level mathematics,” he added. “It’s a fairly safe bet that if Google DeepMind can solve at least some hard I.M.O. problems, then a useful research tool can’t be all that far away.”

A really adept tool might make mathematics accessible to more people, speed up the research process, nudge mathematicians outside the box. Eventually it might even pose novel ideas that resonate.

So long as we don’t think that the physicists’ space is more fundamental than, or is the ultimate reality of, lived space, then no harm is done.

in contemporary physics, space is curved, or non-Euclidean. In non-Euclidean space, the sum of the angles of a triangle may be greater than 180°; more importantly, the shortest distance between two points may not be a straight line, but a curved one.

When we first hear talk of ‘curved space’ we rebel. The least we should ask of something said to be curved is that it should have edges, surfaces, and parts that look or feel curved, which space itself does not. Analogies are offered to make the idea less counter-intuitive

Physicists will smile at taking the analogy too literally. But if it is not taken literally, it lacks explanatory force. And taken literally, it is seriously misleading. The curvature of an object such as the earth is extrinsic – evident in its surface

From Pythagoras onwards we have been prone to the illusion that our ways of geometrising space capture space itself – perhaps even believing that the mathematical logic of pure quantities is somehow ‘out there’. However, the immense power of mathematical physics – which requires abstracting from phenomenal reality and the reduction of experienced and experienceable reality to mere parameters to which numerical values are assigned – does not justify uncritically accepting concepts such as ‘curved space’ that attempt to re-insert phenomenal appearances into its abstractions. On the contrary, we should acknowledge that ‘unreasonably effective’ mathematics (to borrow Eugene Wigner’s phrase) can take us to places to which nothing non-mathematical corresponds. For instance, consider the assumption, central to modern cosmology, that space itself is expanding.

I propose we start to teach the Wason selection task in mathematics courses at the high-school level and higher. The puzzle captures so much that is essential to mathematics: the nuts and bolts of inference, the difficulty of absorbing abstract concepts when removed from the context of real-world experience, the importance of a slow, deliberative cogitative process and the pitfalls of instant intuitive judgments.

pi’s infinite randomness can also be seen more as richness. What amazes, then, is the possibility that such profusion can come from a rule so simple: circumference divided by diameter. This is characteristic of mathematics, whereby elementary formulas can give rise to surprisingly varied phenomena. For instance, the humble quadratic can be used to model everything from the growth of bacterial populations to the manifestation of chaos. Pi makes us wonder if our universe’s complexity emerges from similarly simple mathematical building blocks.

Pi also opens a window into a more uncharted universe, the one consisting of transcendental numbers, which exclude such common irrationals as square and cube roots. Pi is one of the few transcendentals we ever encounter. One may suspect that such numbers would be quite rare, but actually, the opposite is true. Out of the totality of numbers, almost all are transcendental. Pi reveals how limited human knowledge is, how there exist teeming realms we might never explore.

But pi, on cue, reminds us that it is an abstraction, like all else in mathematics. The perfect flat circle is impossible to realize in practice. An area calculated using pi will never exactly match the same area measured physically. This is to be expected whenever we approximate reality using the idealizations of math.

Code is too hard to think about. Before trying to understand the attempts themselves, then, it’s worth understanding why this might be: what it is about code that makes it so foreign to the mind, and so unlike anything that came before it.

Technological progress used to change the way the world looked—you could watch the roads getting paved; you could see the skylines rise. Today you can hardly tell when something is remade, because so often it is remade by code.

Software has enabled us to make the most intricate machines that have ever existed. And yet we have hardly noticed, because all of that complexity is packed into tiny silicon chips as millions and millions of lines of cod

The programmer, the renowned Dutch computer scientist Edsger Dijkstra wrote in 1988, “has to be able to think in terms of conceptual hierarchies that are much deeper than a single mind ever needed to face before.” Dijkstra meant this as a warning.

As programmers eagerly poured software into critical systems, they became, more and more, the linchpins of the built world—and Dijkstra thought they had perhaps overestimated themselves.

What made programming so difficult was that it required you to think like a computer.

“The problem is that software engineers don’t understand the problem they’re trying to solve, and don’t care to,” says Leveson, the MIT software-safety expert. The reason is that they’re too wrapped up in getting their code to work.

Though he runs a lab that studies the future of computing, he seems less interested in technology per se than in the minds of the people who use it. Like any good toolmaker, he has a way of looking at the world that is equal parts technical and humane. He graduated top of his class at the California Institute of Technology for electrical engineering,

“The serious problems that have happened with software have to do with requirements, not coding errors.” When you’re writing code that controls a car’s throttle, for instance, what’s important is the rules about when and how and by how much to open it. But these systems have become so complicated that hardly anyone can keep them straight in their head. “There’s 100 million lines of code in cars now,” Leveson says. “You just cannot anticipate all these things.”

a nearly decade-long investigation into claims of so-called unintended acceleration in Toyota cars. Toyota blamed the incidents on poorly designed floor mats, “sticky” pedals, and driver error, but outsiders suspected that faulty software might be responsible

software experts spend 18 months with the Toyota code, picking up where NASA left off. Barr described what they found as “spaghetti code,” programmer lingo for software that has become a tangled mess. Code turns to spaghetti when it accretes over many years, with feature after feature piling on top of, and being woven around

Using the same model as the Camry involved in the accident, Barr’s team demonstrated that there were actually more than 10 million ways for the onboard computer to cause unintended acceleration. They showed that as little as a single bit flip—a one in the computer’s memory becoming a zero or vice versa—could make a car run out of control. The fail-safe code that Toyota had put in place wasn’t enough to stop it

. In all, Toyota recalled more than 9 million cars, and paid nearly $3 billion in settlements and fines related to unintended acceleration.

The problem is that programmers are having a hard time keeping up with their own creations. Since the 1980s, the way programmers work and the tools they use have changed remarkably little.

“Visual Studio is one of the single largest pieces of software in the world,” he said. “It’s over 55 million lines of code. And one of the things that I found out in this study is more than 98 percent of it is completely irrelevant. All this work had been put into this thing, but it missed the fundamental problems that people faced. And the biggest one that I took away from it was that basically people are playing computer inside their head.” Programmers were like chess players trying to play with a blindfold on—so much of their mental energy is spent just trying to picture where the pieces are that there’s hardly any left over to think about the game itself.

The fact that the two of them were thinking about the same problem in the same terms, at the same time, was not a coincidence. They had both just seen the same remarkable talk, given to a group of software-engineering students in a Montreal hotel by a computer researcher named Bret Victor. The talk, which went viral when it was posted online in February 2012, seemed to be making two bold claims. The first was that the way we make software is fundamentally broken. The second was that Victor knew how to fix it.

This is the trouble with making things out of code, as opposed to something physical. “The complexity,” as Leveson puts it, “is invisible to the eye.”

in early 2012, Victor had finally landed upon the principle that seemed to thread through all of his work. (He actually called the talk “Inventing on Principle.”) The principle was this: “Creators need an immediate connection to what they’re creating.” The problem with programming was that it violated the principle. That’s why software systems were so hard to think about, and so rife with bugs: The programmer, staring at a page of text, was abstracted from whatever it was they were actually making.

“Our current conception of what a computer program is,” he said, is “derived straight from Fortran and ALGOL in the late ’50s. Those languages were designed for punch cards.”

WYSIWYG (pronounced “wizzywig”) came along. It stood for “What You See Is What You Get.”

Victor’s point was that programming itself should be like that. For him, the idea that people were doing important work, like designing adaptive cruise-control systems or trying to understand cancer, by staring at a text editor, was appalling.

With the right interface, it was almost as if you weren’t working with code at all; you were manipulating the game’s behavior directly.

When the audience first saw this in action, they literally gasped. They knew they weren’t looking at a kid’s game, but rather the future of their industry. Most software involved behavior that unfolded, in complex ways, over time, and Victor had shown that if you were imaginative enough, you could develop ways to see that behavior and change it, as if playing with it in your hands. One programmer who saw the talk wrote later: “Suddenly all of my tools feel obsolete.”

hen John Resig saw the “Inventing on Principle” talk, he scrapped his plans for the Khan Academy programming curriculum. He wanted the site’s programming exercises to work just like Victor’s demos. On the left-hand side you’d have the code, and on the right, the running program: a picture or game or simulation. If you changed the code, it’d instantly change the picture. “In an environment that is truly responsive,” Resig wrote about the approach, “you can completely change the model of how a student learns ... [They] can now immediately see the result and intuit how underlying systems inherently work without ever following an explicit explanation.” Khan Academy has become perhaps the largest computer-programming class in the world, with a million students, on average, actively using the program each month.

The ideas spread. The notion of liveness, of being able to see data flowing through your program instantly, made its way into flagship programming tools offered by Google and Apple. The default language for making new iPhone and Mac apps, called Swift, was developed by Apple from the ground up to support an environment, called Playgrounds, that was directly inspired by Light Table.

“Typically the main problem with software coding—and I’m a coder myself,” Bantegnie says, “is not the skills of the coders. The people know how to code. The problem is what to code. Because most of the requirements are kind of natural language, ambiguous, and a requirement is never extremely precise, it’s often understood differently by the guy who’s supposed to code.”

In a pair of later talks, “Stop Drawing Dead Fish” and “Drawing Dynamic Visualizations,” Victor went one further. He demoed two programs he’d built—the first for animators, the second for scientists trying to visualize their data—each of which took a process that used to involve writing lots of custom code and reduced it to playing around in a WYSIWYG interface.

Victor suggested that the same trick could be pulled for nearly every problem where code was being written today. “I’m not sure that programming has to exist at all,” he told me. “Or at least software developers.” In his mind, a software developer’s proper role was to create tools that removed the need for software developers. Only then would people with the most urgent computational problems be able to grasp those problems directly, without the intermediate muck of code.

Victor implored professional software developers to stop pouring their talent into tools for building apps like Snapchat and Uber. “The inconveniences of daily life are not the significant problems,” he wrote. Instead, they should focus on scientists and engineers—as he put it to me, “these people that are doing work that actually matters, and critically matters, and using really, really bad tools.”

Bantegnie’s company is one of the pioneers in the industrial use of model-based design, in which you no longer write code directly. Instead, you create a kind of flowchart that describes the rules your program should follow (the “model”), and the computer generates code for you based on those rules

In a model-based design tool, you’d represent this rule with a small diagram, as though drawing the logic out on a whiteboard, made of boxes that represent different states—like “door open,” “moving,” and “door closed”—and lines that define how you can get from one state to the other. The diagrams make the system’s rules obvious: Just by looking, you can see that the only way to get the elevator moving is to close the door, or that the only way to get the door open is to stop.

. In traditional programming, your task is to take complex rules and translate them into code; most of your energy is spent doing the translating, rather than thinking about the rules themselves. In the model-based approach, all you have is the rules. So that’s what you spend your time thinking about. It’s a way of focusing less on the machine and more on the problem you’re trying to get it to solve.

“Everyone thought I was interested in programming environments,” he said. Really he was interested in how people see and understand systems—as he puts it, in the “visual representation of dynamic behavior.” Although code had increasingly become the tool of choice for creating dynamic behavior, it remained one of the worst tools for understanding it. The point of “Inventing on Principle” was to show that you could mitigate that problem by making the connection between a system’s behavior and its code immediate.

On this view, software becomes unruly because the media for describing what software should do—conversations, prose descriptions, drawings on a sheet of paper—are too different from the media describing what software does do, namely, code itself.

for this approach to succeed, much of the work has to be done well before the project even begins. Someone first has to build a tool for developing models that are natural for people—that feel just like the notes and drawings they’d make on their own—while still being unambiguous enough for a computer to understand. They have to make a program that turns these models into real code. And finally they have to prove that the generated code will always do what it’s supposed to.

tice brings order and accountability to large codebases. But, Shivappa says, “it’s a very labor-intensive process.” He estimates that before they used model-based design, on a two-year-long project only two to three months was spent writing code—the rest was spent working on the documentation.

uch of the benefit of the model-based approach comes from being able to add requirements on the fly while still ensuring that existing ones are met; with every change, the computer can verify that your program still works. You’re free to tweak your blueprint without fear of introducing new bugs. Your code is, in FAA parlance, “correct by construction.”

“people are not so easily transitioning to model-based software development: They perceive it as another opportunity to lose control, even more than they have already.”

The bias against model-based design, sometimes known as model-driven engineering, or MDE, is in fact so ingrained that according to a recent paper, “Some even argue that there is a stronger need to investigate people’s perception of MDE than to research new MDE technologies.”

“Human intuition is poor at estimating the true probability of supposedly ‘extremely rare’ combinations of events in systems operating at a scale of millions of requests per second,” he wrote in a paper. “That human fallibility means that some of the more subtle, dangerous bugs turn out to be errors in design; the code faithfully implements the intended design, but the design fails to correctly handle a particular ‘rare’ scenario.”

Newcombe was convinced that the algorithms behind truly critical systems—systems storing a significant portion of the web’s data, for instance—ought to be not just good, but perfect. A single subtle bug could be catastrophic. But he knew how hard bugs were to find, especially as an algorithm grew more complex. You could do all the testing you wanted and you’d never find them all.

An algorithm written in TLA+ could in principle be proven correct. In practice, it allowed you to create a realistic model of your problem and test it not just thoroughly, but exhaustively. This was exactly what he’d been looking for: a language for writing perfect algorithms.

TLA+, which stands for “Temporal Logic of Actions,” is similar in spirit to model-based design: It’s a language for writing down the requirements—TLA+ calls them “specifications”—of computer programs. These specifications can then be completely verified by a computer. That is, before you write any code, you write a concise outline of your program’s logic, along with the constraints you need it to satisfy

Programmers are drawn to the nitty-gritty of coding because code is what makes programs go; spending time on anything else can seem like a distraction. And there is a patient joy, a meditative kind of satisfaction, to be had from puzzling out the micro-mechanics of code. But code, Lamport argues, was never meant to be a medium for thought. “It really does constrain your ability to think when you’re thinking in terms of a programming language,”

Code makes you miss the forest for the trees: It draws your attention to the working of individual pieces, rather than to the bigger picture of how your program fits together, or what it’s supposed to do—and whether it actually does what you think. This is why Lamport created TLA+. As with model-based design, TLA+ draws your focus to the high-level structure of a system, its essential logic, rather than to the code that implements it.

But TLA+ occupies just a small, far corner of the mainstream, if it can be said to take up any space there at all. Even to a seasoned engineer like Newcombe, the language read at first as bizarre and esoteric—a zoo of symbols.

this is a failure of education. Though programming was born in mathematics, it has since largely been divorced from it. Most programmers aren’t very fluent in the kind of math—logic and set theory, mostly—that you need to work with TLA+. “Very few programmers—and including very few teachers of programming—understand the very basic concepts and how they’re applied in practice. And they seem to think that all they need is code,” Lamport says. “The idea that there’s some higher level than the code in which you need to be able to think precisely, and that mathematics actually allows you to think precisely about it, is just completely foreign. Because they never learned it.”

“In the 15th century,” he said, “people used to build cathedrals without knowing calculus, and nowadays I don’t think you’d allow anyone to build a cathedral without knowing calculus. And I would hope that after some suitably long period of time, people won’t be allowed to write programs if they don’t understand these simple things.”

Programmers, as a species, are relentlessly pragmatic. Tools like TLA+ reek of the ivory tower. When programmers encounter “formal methods” (so called because they involve mathematical, “formally” precise descriptions of programs), their deep-seated instinct is to recoil.

Formal methods had an image problem. And the way to fix it wasn’t to implore programmers to change—it was to change yourself. Newcombe realized that to bring tools like TLA+ to the programming mainstream, you had to start speaking their language.

he presented TLA+ as a new kind of “pseudocode,” a stepping-stone to real code that allowed you to exhaustively test your algorithms—and that got you thinking precisely early on in the design process. “Engineers think in terms of debugging rather than ‘verification,’” he wrote, so he titled his internal talk on the subject to fellow Amazon engineers “Debugging Designs.” Rather than bemoan the fact that programmers see the world in code, Newcombe embraced it. He knew he’d lose them otherwise. “I’ve had a bunch of people say, ‘Now I get it,’” Newcombe says.

In the world of the self-driving car, software can’t be an afterthought. It can’t be built like today’s airline-reservation systems or 911 systems or stock-trading systems. Code will be put in charge of hundreds of millions of lives on the road and it has to work. That is no small task.