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April 10, 2026
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"Half the time I read Hayek's The Sensory Order with amazement at the extent of his reading and comprehension … he is right … most of the time."
"I believe that robotic thinking helps precision of psychological thought, and will continue to help it until psychophysiology is so far advanced that an image is nothing other than a neural event, and object constancy is obviously just something that happens in the brain. That time is still a long way off, and in the interval I choose to sit cozily with my robot, squeezing his hand and feeling a thrill -- a scientist's thrill -- when he squeezes mine back again."
"Computer programs are the most intricate, delicately balanced and finely interwoven of all the products of human industry to date. They are machines with far more moving parts than any engine: the parts don't wear out, but they interact and rub up against one another in ways the programmers themselves cannot predict."
"Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads by choice are essential to the intellectual welfare of the subtle disciplines"
"In the thousands of articles that made up the technical literature of chaos, few were cited more often than "Deterministic Nonperiodic Flow." For years, no single object would inspire more illustrations, even motion pictures, than the mysterious curve depicted at the end, the double spiral that became known as the Lorenz attractor."
"Linear relationships can be captured with a straight line on a graph. Linear relationships are easy to think about....Linear equations are solvable... Linear systems have an important modular virtue: you can take them apart, and put them together again — the pieces add up."
"Chaotic theory is mathematically based on non-linear propositions, "meaning that they expressed relationships that were not strictly proportional. Linear relationships can be captured with a straight line on a graph""
"It was God who breathed life into matter and inspired its many textures and processes. ...Rather than turn away from what he could not explain, he plunged in more deeply. ...There were forces in nature that he would not be able to understand mechanically, in terms of colliding billiard balls or swirling vortices. They were vital, vegetable, sexual forces—invisible forces of spirit and attraction. Later, it had been Newton, more than any other philosopher, who effectively purged science of the need to resort to such mystical qualities. For now, he needed them."
"Amid the vast modern network of universities, corporate laboratories, and national science foundations has arisen an awareness that the best financed and best organized of research enterprises have not learned to engender, perhaps not even to recognize, world-tuning originality."
"Mercury on its axis turns like the Moon: One side has lasting day, the other night; One side in everlasting fire doth swoon; While th'other hides forever from the light."
"Science is not inevitable; this question is very fruitful indeed."
"Euclid … manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does."
"The age-long history of thinking on gravitation, too, was erased from the collective consciousness, and that force somehow became the serendipitous child of Newton's genius. The new attitude is well illustrated by the anecdote of the apple, a legend spread by Voltaire, one of the most active and vehement erasers of the past. … The need to build the myth of an ex nihilo creation of modern science gave rise to much impassioned rhetoric."
"The oft-heard comment that Leonardo [da Vinci]'s genius managed to transcend the culture of his time is amply justified. But his was not a science-fiction voyage into the future as much as a plunge into the past."
"From semantics to shipbuilding, from dream theory to propositional logic, any specialist … is invariably astonished to discover that modern knowledge was foreshadowed at the time. … Should we not replace these foreshadowings by the study of the influences of Hellenistic thought on modern thought?"
"Many scholars have felt that the Heronian passage [on a pipe-organ moved by an anemourion-like wheel] can be disregarded because it is not confirmed by other writings. Heron presumably mentioned the anemourion in a moment of distraction, forgetting that it had not been invented yet. We know that he was given to such lapses."
"Today Eratosthenes' method [of calculating the circumference of the earth] seems almost banal … yet it is inaccessible to prescientific civilizations, and in all of Antiquity not a single Latin author succeeded in stating it coherently."
"Since UFO stands for "unidentified flying object", the word ufology means approximately "knowledge about unknown flying objects", and is therefore a "science" whose content is void by definition. Similar considerations hold for parapsychology."
"Unfortunately, the optimistic view that "classical civilization" handed down certain fundamental works that managed to include the knowledge contained in the lost writings has proved groundless. In fact, in the face of a general regression in the level of civilization, it's never the best works that will be saved through an automatic process of natural selection."
"About Archimedes one remembers that he did strange things: he ran around naked shouting Heureka!, plunged crowns into water, drew geometric figures as he was about to be killed, and so on. … One ends up forgetting he was a scientist of whom we still have many writings."
"Our own culture, of Greek and Hebraic origin, is the one that interests us the most... We do not say that it is the best culture, but simply that it is ours. To claim that it of necessity superior would be wrong and evil. That attitude is the main source of international trouble in the world. ...Each nation prefers its own usages."
"My gratitude to them [my first teachers] grows as I myself grow older."
"Some forty years of experience in my field as a scholar and as a teacher have given me great confidence mixed with greater humility."
"The whole iconography of ancient science is simply the fruit of wishful thinking."
"Ancient portraits are symbolic images without any immediate relation to the individuals represented; they are not portraits as we understand them. ...It is remarkable that philologists who are capable of carrying accuracy to the extremes in the case of words are as credulous as babies when it comes to "images," and yet an image is so full of information that ten thousands words would not add up to it."
"I am obliged to deal with hundreds of men and to make them live without killing the reader."
"Superstitions... are nothing but persistent errors, foolish beliefs, and irrational fears. Superstitions are infinite in number and scope... It would not do to ignore them altogether, only if we should never forget the weakness and fragility of our minds. The consciousness that superstitions are rife in our own society is a healthy shock to our self-conceit and a warning. ...it lets us judge ancient superstitions with more indulgence and with a sense of humor. We could not overlook them without falsifying the general picture nor judge them too severely without hypocrisy."
"Men of science have made abundant mistakes of every kind; their knowledge has improved only because of their gradual abandonment of ancient errors, poor approximations, and premature conclusions."
"All men are our brothers. As far as the discovery of the truth is concerned, they are all working for the same purpose; they may be separated by the accidents of space and time, and by the exigencies of race, religion, nationality, and other groupings; from the point of view of eternity they are working together."
"If we are generous enough, we can stretch our souls everywhere and everywhen else. If we succeed in doing so, we shall discover that our present embraces the past and the future and that the whole world is our province."
"A deed happens in a definite place at a definite time, but if it be sufficiently great and pregnant, its virtue radiates everywhere in time and space."
"The whole past and the whole world are alive in my heart, and I shall do my part to communicate their presence to my readers."
"In ancient times there was no public education, except that of the forum, the theater, and the street, and the general degree of illiteracy was very high. ...the early men of science were left very much to themselves and such a phrase as "the scientific culture of Alexandria in the third century B.C." does not cover any reality. In a sense, this is still true today; the real pioneers are so far ahead of the crowd (even a very literate crowd) that they remain almost alone..."
"The intensity of a national culture should be represented by... the general education level and... the exceptional merit of a small elite of pioneers."
"The Hellenistic world was international to a degree, polyglot and inspired by many religious faiths. ...the Greek ideals were pagan and the Hellenistic age witnessed their death struggle against Asiatic and Egyptian mysteries, on the one side, and against Judaism, on the other."
"The main task of mankind was accomplished by Muslims. The greatest philosopher, al-Farabi, was a Muslim; the greatest mathematicians, Abu Kamil and Ibrahim ibn Sinan, Were Muslims; the greatest geographer and encyclopaedist, al-Mas'udi, was a Muslim; the greatest historian, aI-Tabari, was still a Muslim."
"We can imagine that the Academy, which could be attended only by men of leisure, was a cradle of discontent. The author of the Laws was a disgruntled old man, full of political rancor, fearing and hating the crowd and above all their demagogues; his prejudices had crystallized and he had become an old doctrinaire, unable to see anything but the reflections of his own personality and to hear anything but the echoes of his own thoughts. The worst of it was that he, a noble Athenian, admired the very Spartans who had defeated and humiliated his fatherland. Plato was witnessing a social revolution (even as we are) and he could not bear it at all. His main concern was: how could one stop it."
"The history of science should not be an instrument to defend any kind of social or philosophic theory; it should be used only for its own purpose, to illustrate impartially the working of reason against unreason, the gradual unfolding of truth, in all its forms, whether pleasant or unpleasant, useful or useless, welcome or unwelcome."
"There are two kinds of people in the world, whom we might dub the jobholders and the enthusiasts. ...The majority of the kings and emperors were jobholders and so were many of the popes. ...Most of the creators in the field of art and religion, and many of them in the field of science, were enthusiasts. Now economic conditions may deeply affect the jobs and the jobholders, but they make little impression on the enthusiasts. ...the jobholders ...keep things going with enough continuity and smoothness; they are the builders of usages and customs, the defenders of morality and justice. ...the enthusiasts ...are the main instruments of change and progress; they are the real creators and troublemakers. The enthusiasts are the salt of the earth, but man cannot live by salt alone."
"Some men are abstract-minded, and they naturally think first of unity and God, of wholeness, of infinity and other such concepts, while the minds of other men are concrete and they cogitate about health and disease, profit and loss. They invent gadgets and remedies; they are less interested in knowing anything than in applying whatever knowledge... to practical problems... The first are called dreamers; the second kind are recognized as practical and useful. History has often proved the shortsightedness of the practical men and vindicated the "lazy" dreamers; it has also proved that the dreamers are often mistaken."
"The historical order is very interesting, but accidental and capricious; if we would to understand the growth of knowledge, we cannot be satisfied with accidents, we must explain how knowledge was gradually built up."
"Wisdom is not mathematical, nor astronomical, nor zoological; when it talks too much of any one thing it ceases to be itself. There are wise physicists, but wisdom is not physical; there are wise physicians, but wisdom is not medical."
"My main interest... is the love of truth, whether pleasant or not. Truth is self-sufficient, and there is nothing to which it can be subordinated without loss. When truth is made subservient to anything else, however great (say religion), it becomes impure and sordid."
"The scientific books written in Arabic during the Middle Ages were, for a few centuries, the main vehicle of the living science."
"The rationalism of the creative minds was tempered by abundant fantasies, and the supreme beauty of the monuments was probably spoiled by the circumambient vanities and ugliness; in a few cases the Greeks came as close to perfection as it was possible to do, yet they were human and imperfect."
"Greek culture is pleasant to contemplate because of its great simplicity and naturalness, and because of the absence of gadgets, each of which is sooner or later a cause of servitude."
"From the humanistic point of view every human achievement is unforgettable and immortal in its essence, even if it is replaced by a "better" one."
"Scientific achievements seem evanescent, because the very progress of science causes their supersedure; yet some of them are of so fundamental a nature that they are immortal in a deeper way."
"Hellenic science is a victory of rationalism, which appears greater, not smaller, when one is made to realize that it had been won in spite of the irrational beliefs of the Greek people; all in all, it was a triumph of reason in the face of unreason. Some knowledge of Greek superstitions is needed not only for a proper appreciation of that triumph but also for the justification of occasional failures, such as the many Platonic aberrations."
"It is childish to assume that science began in Greece; the Greek "miracle" was prepared by millenia of work in Egypt, Mesopotamia and possibly in other regions. Greek science was less an invention than a revival."