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April 10, 2026
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"To be able to speak the language of the schools with authority was the first condition of obtaining a hearing. But he was not slow to perceive that the men who taught this philosophy were, for the most part, wholly destitute of positive knowledge. They knew no language but Latin. Beyond the shreds of arithmetic, mensuration, and astronomy taught in the manuals of the Quadrivium, they were ignorant of mathematics. Of the possibility of applying mathematical knowledge to the facts of nature they had formed no conception whatever. Their philosophy was a tangle of barren controversies reducible, for the most part, to verbal disputes. It bore no relation to the facts of real life. It held out no hope of raising the Catholic Church to the position of intellectual domination needed for establishing her authority over the Asiatic world, from which dangers were looming of appalling magnitude."
"Roger Bacon expressed a feeling which afterwards moved many minds, when he said that if he had the power he would burn all the works of the Stagirite, since the study of them was not simply loss of time, but multiplication of ignorance. Yet in spite of this outbreak every page is studded with citations from Aristotle, of whom he everywhere speaks in the highest admiration."
"Roger Bacon, a disciple of the Arabs, also insisted on the primary necessity of Mathematics, without which no other science can be known; yet by Mathematics it is clear that he meant something very different from what we mean, including under that head even dancing, singing, gesticulation, and performance on musical instruments."
"I have labored much in sciences and languages, and I have up to now devoted forty years [to them] after I first learned the Alphabetum; and I was always studious. Apart from two of these forty years I was always [engaged] in study [or at a place of study], and I had many expenses just as others commonly have. Nevertheless, provided I had first composed a compendium, I am certain that within quarter or half a year I could directly teach a solicitous and confident person whatever I know of these sciences and languages. And it is known that no one worked in so many sciences and languages as I did, nor so much as I did. Indeed, when I was living in the other state of life [as a Magister], people marveled that I survived the abundance of my work. And still, I was just as involved in studies afterwards, as I had been before. But I did not work all that much, since in the pursuit of Wisdom this was not required."
"[H]aec vocatur scientia experimentalis, quae negligit argumenta, quoniam non certificant, quantumcunque sint fortia, nisi simul adsit experientia conclusionis. Et ideo haec docet experiri conclusiones nobiles omnium scientiarum, quae in aliis scientiis aut probantur per argumenta, aut investigantur per experientias naturales et imperfectas..."
"I use the example of the rainbow and of the phenomena connected with it, of which sort are the circle around the sun and the stars, likewise the rod lying at the side of the sun or of a star which appears to the eye in a straight line... called the rod by Seneca, and the circle is called the corona, which often has the colors of the rainbow. But neither Aristotle nor Avicenna, in their Natural Histories, has given us knowledge of things of this sort, nor has Seneca, who composed a special book on them. But Experimental Science makes certain of them. [The experimenter] considers rowers and he finds the same colors in the falling drops dripping from the raised oars when the solar rays penetrate drops of this sort. It is the same with waters falling from the wheels of a mill; and when a man sees the drops of dew in summer of a morning lying on the grass in the meadow or the field, he will see the colors. And in the same way when it rains, if he stands in a shady place and if the rays beyond it pass through dripping moisture, then the colors will appear in the shadow nearby; and very frequently of a night colors appear around the wax candle. Moreover, if a man in summer, when he rises from sleep and while his eyes are yet only partly opened, looks suddenly toward an aperture through which a ray of the sun enters, he will see colors. And if, while seated beyond the sun, he extend his hat before his eyes, he will see colors; and in the same way if he closes his eye, the same thing happens under the shade of the eyebrow; and again, the same phenomenon occurs through a glass vessel filled with water, placed in the rays of the sun. Or similarly if any one holding water in his mouth sprinkles it vigorously into the rays and stands to the side of the rays; and if rays in the proper position pass through an oil lamp hanging in the air, so that the light falls on the surface of the oil, colors will be produced. And so in an infinite number of ways, as well natural as artificial, colors of this sort appear, as the careful experimenter is able to discover."
"Et hæc scientia certificat omnia naturalia et artificialia in particulari et in propria disciplina, per experientiam perfectam; non per argumenta, ut scientiæ pure speculativae, nec per debiles et imperfecta experientias ut scientiae operativæ. Et ideo hæc est domina omnium scientiarum præcedentium, et finis totius speculationis."
"Everything in nature completes its action through its own force and species alone... as, for example, fire by its own force dries and consumes and does many things. Therefore vision must perform the act of seeing by its own force. But the act of seeing is the perception of a visible object at a distance, and therefore vision perceives what is visible by its own force multiplied to the object. Moreover, the species of the things of world are not fitted by nature to effect the complete act of vision at once, because of its nobleness. Hence these must be aided by the species of the eye, which travels in the locality of the visual pyramid, and changes the medium and ennobles it, and renders it analogous to vision, and so prepares the passage of the species itself of the visible object... Concerning the multiplication of this species, moreover, we are to understand that it lies in the same place as the species of the thing seen, between the sight and the thing seen, and takes place along the pyramid whose vertex is in the eye and base in the thing seen. And as the species of an object in the same medium travels in a straight path and is refracted in different ways when it meets a medium of another transparency, and is reflected when it meets the obstacles of a dense body; so is it also true of the species of vision that it travels altogether along the path of the species itself of the visible object."
"Mathematics is the gate and key of the sciences. ... Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy."
"One man I know, and one only, who can be praised for his achievements in this science. Of discourses and battles of words he takes no heed: he follows the works of wisdom, and in these finds rest. What others strive to see dimly and blindly, like bats in twilight, he gazes at in the full light of day, because he is a master of experiment. Through experiment he gains knowledge of natural things, medical, chemical, indeed of everything in the heavens or earth. He is ashamed that things should be known to laymen, old women, soldiers, ploughmen, of which he is ignorant. Therefore he has looked closely into the doings of those who work in metals and minerals of all kinds; he knows everything relating to the art of war, the making of weapons, and the chase; he has looked closely into agriculture, mensuration, and farming work; he has even taken note of the remedies, lot casting, and charms used by old women and by wizards and magicians, and of the deceptions and devices of conjurors, so that nothing which deserves inquiry should escape him, and that he may be able to expose the falsehoods of magicians. If philosophy is to be carried to its perfection and is to be handled with utility and certainty, his aid is indispensable. As for reward, he neither receives nor seeks it. If he frequented kings and princes, he would easily find those who would bestow on him honours and wealth. Or, if in Paris he would display the results of his researches, the whole world would follow him. But since either of these courses would hinder him from pursuing the great experiments in which he delights, he puts honour and wealth aside, knowing well that his wisdom would secure him wealth whenever he chose. For the last three years he has been working at the production of a mirror that shall produce combustion at a fixed distance; a problem which the Latins have neither solved nor attempted, though books have been written upon the subject."
"And because this Experimental Science is wholly ignored by the general run of students, for that reason I can not convince people of its utility unless I show at the same time its excellence and its property. This science alone, then, knows how to test perfectly by experience what can be done by nature, what by the industry of art, what by imposture; what the incantations, conjurations, invocations, deprecations, sacrifices (which are magical devices) seek and dream of; and what is done in them, so that all falsity may be removed and that only the truth of art and nature be retained. This science alone teaches one to consider all the insanities of magicians, not that they may be confirmed but that they may be avoided, just as logic considers sophistical argument."
"For the things of this world cannot be made known without a knowledge of mathematics. For this is an assured fact in regard to celestial things, since two important sciences of mathematics treat of them, namely theoretical astrology and practical astrology. The first … gives us definite information as to the number of the heavens and of the stars, whose size can be comprehended by means of instruments, and the shapes of all and their magnitudes and distances from the earth, and the thicknesses and number, and greatness and smallness, … It likewise treats of the size and shape of the habitable earth … All this information is secured by means of instruments suitable for these purposes, and by tables and by canons .. For everything works through innate forces shown by lines, angles and figures."
"Reasoning draws a conclusion and makes us grant the conclusion, but does not make the conclusion certain, nor does it remove doubt so that the mind may rest on the intuition of truth, unless the mind discovers it by the path of experience."
"Many secrets of art and nature are thought by the unlearned to be magical."
"If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics..."
"Argument is conclusive... but... it does not remove doubt, so that the mind may never rest in the sure knowledge of the truth, unless it finds it by the method of experiment. For if any man who never saw fire proved by satisfactory arguments that fire burns, his hearer's mind would never be satisfied, nor would he avoid the fire until he put his hand in it that he might learn by experiment what argument taught."
"I shall draw... a figure (which all these matters are made clear as far as possible on a surface, but the full demonstration would require a body like the eye... The eye of a cow, pig, and other animals can be used for illustration, if anyone wishes to experiment."
"All these foregoing sciences are, properly speaking, speculative. There is indeed in every science a practical side, as Avicenna teaches in the first book of his Art of Medicine. Nevertheless, of Moral Philosophy alone can it be said that it is in the special and autonomatic sense practical, dealing as it does with human conduct with reference to virtue and vice, beatitude and misery. All other sciences are called speculative: they are not concerned with the deeds of the present or future life affecting man's salvation or damnation. All procedures of art and of nature are directed to these moral actions, and exist on account of them. They are of no account except in that they help forward right action. Thus practical and operative sciences, as experimental alchemy and the rest, are regarded as speculative in reference to the operations with which moral or political science is concerned. This science is the mistress of every department of philosophy. It employs and controls them for the advantage of states and kingdoms. It directs the choice of men who are to study in sciences and arts for the common good. It orders all members of the state or kingdom so that none shall remain without his proper work."
"There are in fact four very significant stumbling blocks in the way of grasping the truth, which hinder every man however learned, and scarcely allow anyone to win a clear title to wisdom, namely, the example of weak and unworthy authority, longstanding custom, the feeling of the ignorant crowd, and the hiding of our own ignorance while making a display of our apparent knowledge."
"Oh how delightful is the taste of wisdom to those who are thus steeped in it from its very fount and origin. They who have not tried this cannot feel the delight of wisdom, just as a sick man cannot estimate the flavour of food. But because they are affected with this sort of mental sickness, and their intellect in this matter is as it were deaf from their very birth, so as not to appreciate the delight of harmony, on this account they grieve not at this so great loss of wisdom, though indeed without doubt it is an infinite loss."
"For sounds like thunder, and coruscations like lightning, may be made in the air, and they may be rendered even more horrible than those of nature herself. A small quantity of matter, properly manufactured, not larger than the human thumb, may be made to produce a horrible noise and coruscation. And this may be done many ways, by which a city or an army may be destroyed, as was the case when and his men broke their pitchers and exhibited their lamps, fire issuing out of them with inestimable noise, destroyed an infinite number of the army of the Midianites."
"Mix together saltpetre, luru vopo vir con utriet [powdered charcoal], and sulphur, and you will make thunder and lightning, if you know the method of mixing them."
"Prudens quaestio dimidium scientiae."
"Many of these mystics, by following what they were taught by some treatises, secretly preserved from one generation to another, achieved discoveries which would not be despised even in our modern days of exact sciences. Roger Bacon, the friar, was laughed at as a quack, and is now generally numbered among "pretenders" to magic art; but his discoveries were nevertheless accepted, and are now used by those who ridicule him the most... Roger Bacon belonged by right if not by fact to that Brotherhood which includes all those who study the occult sciences. Living in the thirteenth century, almost a contemporary, therefore, of Albertus Magnus and Thomas Aquinas, his discoveries — such as gunpowder and optical glasses, and his mechanical achievements — were considered by everyone as so many miracles. He was accused of having made a compact with the Evil One... It is recounted, that, having been summoned before the king, the friar was induced to show "some of his skill before her majesty the queen. So he waved his hand... and "presently was heard such excellent music, that they all said they had never heard the like."... Then he waved his wand again,and suddenly there was such a smell "as if all the rich perfumes in the whole world had been there prepared in the best manner that art could set them out." Thephenomena of the mystic odors and music, exhibited by Roger Bacon, have been often observed in our own time."
"Throughout the Opus Majus there is an orderly arrangement of the subject-matter formed with a definite purpose, and leading up to a central theme, the consolidation of the Catholic faith as the supreme agency for the civilization and ennoblement of mankind. For this end a complete renovation and reorganization of man's intellectual forces was needed. After a brief exposition of the four principal impediments to wisdom—authority, habit, prejudice, and false conceit of knowledge—Bacon proceeds in his second part to explain the inseparable connexion of philosophy with the highest truths of religion. ...The first condition ...of a renovation of learning is the systematic study of at least three languages besides Latin, namely Hebrew, Greek, and Arabic. The second condition was the application of mathematical method to all objects of study, whether in the world or in the Church. ...it [mathematics] raises the understanding to the plane at which knowledge can be distinguished from ignorance. Without it other sciences are unintelligible. It reveals to us the motions of the heavenly bodies, and the laws of the propagation of force in things terrestrial, of which the propagation of light may be taken as a type; without it we are incapable of regulating the festivals of the Church; we remain in ignorance of the influences of climate upon character; of the position of cities and of the boundaries of nations whom it is the function of the Catholic Church to bring within her pale, and to control spiritually. ...But mathematical method, though essential, is insufficient. It must be supplemented by the method of experiment. Experimental science governs all the preceding sciences ('domina est omnium scientiarum praecedentium' [she is the matron of all previous sciences]), it controls their methods; in prosecuting its own special researches it makes use of their results."
"It is false that kings are entitled to the eminence they obtain. They possess no intrinsic superiority over their subjects. The line of distinction that is drawn is the offspring of pretense, an indirect means employed for effecting certain purposes, and not the language of truth. It tramples upon the genuine nature of things, and depends for its support upon this argument, 'that, were it not for impositions of a similar nature, mankind would be miserable.'"
"Privilege is a regulation rendering a few men, and those only, by the accident of their birth, eligible to certain situations. It kills all liberal ambition in the rest of mankind, by opposing to it an apparently insurmountable bar. It diminishes it in the favored class itself, by showing them the principal qualification as indefeasibly theirs. Privilege entitles a favored few to engross to themselves gratifications which the system of the universe left at large to all her sons; it puts into the hands of those few the means of oppression against the rest of their species; it fill them witth vain-glory, and affords them every incitement to insolence and a lofty disregard to the feeling and interests of others."
"The minimum I. Q. necessary for one to grasp the concepts of Statistics required for the undergraduate degree is 120.(paraphrased)"
"Let an ultraintelligent machine be defined as a machine that can far surpass all the intellectual activities of any man however clever. Since the design of machines is one of these intellectual activities, an ultraintelligent machine could design even better machines; there would then unquestionably be an "intelligence explosion", and the intelligence of man would be left far behind. Thus the first ultraintelligent machine is the last invention that man need ever make, provided that the machine is docile enough to tell us how to keep it under control. It is curious that this point is made so seldom outside of science fiction. It is sometimes worthwhile to take science fiction seriously."
"Two other general characteristics of rationalist politics may be observed. They are the politics of perfection, and they are the politics of uniformity; either of these characteristics without the other denotes a different style of politics, the essence of rationalism is their combination. The evanescence of imperfection may be said to be the first item of the creed of the Rationalist. He is not devoid of humility; he can imagine a problem which would remain impervious to the onslaught of his own reason. But what he cannot imagine is politics which do not consist in solving problems, or a political problem of which there is no 'rational' solution at all. Such a problem must be counterfeit. And the 'rational' solution of any problem is, in its nature, the perfect solution. There is no place in his scheme for a 'best in the circumstances', only a place for 'the best'; because the function of reason is precisely to surmount circumstances. Of course, the Rationalist is not always a perfectionist in general, his mind governed in each occasion by a comprehensive Utopia; but invariably he is a perfectionist in detail. And from this politics of perfection springs the politics of uniformity; a scheme which does not recognize: circumstance can have no place for variety. 'There must in the nature of things be one best form of government which all intellects, sufficiently roused from the slumber of savage ignorance, will be irresistibly incited to approve,' writes Godwin. This intrepid Rationalist states in general what a more modest believer might prefer to assert only in detail; but the principle holds — there may not be one universal remedy for all political ills, but the remedy for any particular ill is as universal in its application as it is rational in its conception. If the rational solution for one of the problems of a society has been determined, to permit any relevant part of the society to escape from the solution is, ex hypotkesi, to countenance irrationality. There can be no place for preference that is not rational preference, and all rational preferences necessarily coincide. Political activity is recognized as the imposition of a uniform condition of perfection upon human conduct."
"It is now a period of more than two years since first I saw your inestimable book of Political Justice. It opened to my mind fresh and more extensive views; it materially influenced my character, and I rose from its perusal a wiser and a better man. I was no longer the votary of romance; till then I had existed in an ideal world—now I found that in this universe of ours was enough to excite the interest of the heart, enough to employ the discussions of reason; I beheld, in short, that I had duties to perform. Conceive the effect which the Political Justice would have upon a mind before jealous of its independence, participating somewhat singularly in a peculiar susceptibility."
"There may be occasions when it is best to behave irrationally, but whether there are should be decided rationally."
"The Spirit of the Age was never more fully shown than in its treatment of this writer — its love of paradox and change, its dastard submission to prejudice and to the fashion of the day. Five-and twenty years ago he was in the very zenith of a sultry and unwholesome popularity; he blazed as a sun in the firmament of reputation; no one was more talked of, more looked up to, more sought after, and wherever liberty, truth, justice was the theme, his name was not far off. Now he has sunk below the horizon, and enjoys the serene twilight of a doubtful immortality. Mr. Godwin, during his lifetime, has secured to himself the triumphs and the mortifications of an extreme notoriety and of a sort of posthumous fame. His bark, after being tossed in the revolutionary tempest, now raised to heaven by all the fury of popular breath, now almost dashed in pieces, and buried in the quicksands of ignorance, or scorched with the lightning of momentary indignation, at length floats on the calm wave that is to bear it down the stream of time. Mr. Godwin's person is not known, he is not pointed out in the street, his conversation is not courted his opinions are not asked, he is at the head of no cabal, he belongs to no party in the State, he has no train of admirers, no one thinks it worth his while even to traduce and vilify him, he has scarcely friend or foe the world make a point (as Goldsmith used to say) of taking no more notice of him than if such an individual had never existed; he is to all ordinary intents and purposes dead and buried. But the author of Political Justice and of Caleb Wiliams can never die; his name is an abstraction in letters; his works are standard in the history of intellect."
"What is striking about the population question to our modern eyes is not whether England actually was or was not in danger of petering out as a nation. In retrospect, what is interesting is how harmonious either view of the population problem was with a vision that puts its faith in natural law, reason, and progress. Was the population declining? Then it should be encouraged to grow, as it “naturally” would under the benign auspices of the laws that Adam Smith had shown to be the guiding principles of a free market economy. Was the population growing? All to the good, since everyone agreed that a growing population was a source of national wealth. No matter which way one cut the cake, the result was favorable to an optimistic prognosis for society; or, to put it differently, there was nothing in the population question, as it was understood, to shake men’s faith in their future. Perhaps no one summed up this optimistic outlook so naively and completely as William Godwin. Godwin, a minister and pamphleteer, looked at the heartless world about him and shrank back in dismay. But he looked into the future and what he saw was good. In 1793 he published Political Justice, a book that excoriated the present but gave promise of a distant future in which “there will be no war, no crime, no administration of justice, as it is called, and no government. Besides this there will be no disease, anguish, melancholy, or resentment.” What a wonderful vision! It was, of course, highly subversive, for Godwin’s utopia called for complete equality and for the most thoroughgoing anarchic communism: even the property contract of marriage would be abolished. But in view of the high price of the book (it sold for three guineas) the Privy Council decided not to prosecute the author, and it became the fashion of the day in the aristocratic salons to discuss Mr. Godwin’s daring ideas."
"I did not hate the author of my misfortunes — truth and justice acquit me of that; I rather pitied the hard destiny to which he seemed condemned. But I thought with unspeakable loathing of those errors, in consequence of which every man is fated to be, more or less, the tyrant or the slave. I was astonished at the folly of my species, that they did not rise up as one man, and shake off chains so ignominious, and misery so insupportable. So far as related to myself, I resolved — and this resolution has never been entirety forgotten by me — to hold myself disengaged from this odious scene, and never fill the part either of the oppressor or the sufferer."
"It was Godwin, in his Enquiry Concerning Political Justice (2 vols., 1793), who was the first to formulate the political and economical conceptions of anarchism, even though he did not give that name to the ideas developed in his remarkable work. Laws, he wrote, are not a product of the wisdom of our ancestors: they are the product of their passions, their timidity, their jealousies and their ambition. The remedy they offer is worse than the evils they pretend to cure. If and only if all laws and courts were abolished, and the decisions in the arising contests were left to reasonable men chosen for that purpose, real justice would gradually be evolved. As to the state, Godwin frankly claimed its abolition. A society, he wrote, can perfectly well exist without any government: only the communities should be small and perfectly autonomous. Speaking of property, he stated that the rights of every one ‘to every substance capable of contributing to the benefit of a human being’ must be regulated by justice alone: the substance must go ‘to him who most wants it’. His conclusion was communism. Godwin, however, had not the courage to maintain his opinions. He entirely rewrote later on his chapter on property and mitigated his communist views in the second edition of Political Justice (8 vols., 1796)."
"I have finished Godwin. His work [Enquiry Concerning Political Justice] cannot be too highly praised. All mankind are indebted to the author. The cause of despotism never met a more formidable adversary. He goes to the root of every evil that now plagues man and degrades him almost beneath the savage beast. He shows the source whence all the misfortunes of mankind flow. That source he demonstrates to be political government."
"Portable Enlightenment Reader, p. 478-479"
"Till mankind be satisfied with the naked statement of what they really perceive, till they confess virtue to be then most illustrious, when she more disdains the aid of ornament, they will never arrive at that manly justice of sentiment at which they seem destined one day to arrive. By his scheme of naked virtue will be every day a gainer; every succeeding observer willl more fully do her justice, while vice, deprived of that varnish with which she delighted to glow her actions of that gaudy exhibition which may be made alike by every pretender will speedily sink into unheeded contempt."
"Democracy is a system of government according to which every member of society is considered as a man and nothing more."
"The case of mere titles is so absurd that it would deserve to be treated only with ridicule were t not for the serious mischief they impose on mankind. The feudal system was a ferocious monster, devouring, where it came, all that the friend of humanity regards with attachment and love. The system of titles appears under a different form. The monster is at length destroyed, and they who followed in his train, and fattened upon the carcasses of those he slew, have stuffed his skin, and, b exhibiting it, hope still to terrify mankind into patient and pusillanimity."
"Anarchy, in its own nature, is an evil of short duration. The more horrible are the mischiefs it inflicts, the more does it hasten to a close."
"Nothing can be of more importance than to separate prejudice and mistake on the one hand from reason and demonstration on the other."
"Mankind will never be, in an eminent degree, virtuous and happy till each man shall possess that portion of distinction and no more, to which he is entitled by his personal merits. The dissolution of aristocracy is equally the interest of the oppressor and the oppressed. The one will be delivered from the listlessness of tyranny, and the other from the brutalizing operation of servitude."
"Simplify the social system, in the manner which every motive, but those of usurpation and ambition, powerfully recommends; render the plain dictates of justice level to every capacity; remove the necessity of implicit faith; and we may expect the whole species to become reasonable and virtuous."
"The evil of marriage, as is it practiced in the European countries, extends further than we have yet described. The method is for a thoughtless and romantic youth of each sex, to come together, to see each other, for a few times, and under circumstances full of delusion and then to vow eternal attachment. What is the consequence of this? In almost every instance they find themselves deceived. They are reduced to make the best of an irretrievable mistake. They are led to conceive it their wiser policy, to shut their eyes upon realities, happy, if by any perversion of intellect, they can persuade themselves that they were right in their first crude opinion of each other. Thus the institution of marriage is made a system of fraud; and men who carefully mislead their judgement in the daily affair of their life, must be expected to have a crippled judgement in every other concern."
"A common mortal periodically selected by his fellow-citizens to watch over their own interests, can never be supposed to possess this stupendous virtue."
"The benefit of the governed is made to lie on one side and the benefit of the governors on the other."
"Government in reality, as has abundantly appeared, is a question of force, and not of consent. It is desirable that a government should be made as agreeable as possible to the ideas and inclinations of its subjects and that they should be consulted, as extensively as may be, respecting its construction and regulations. But, at last, the best constituted government that can be formed particularly for a large community, will contain many provisions that, far from having obtained the consent of all its members, encounter even in their outset a strenuous, thought ineffectual opposition."
"The pistol and dagger may as easily be made the auxiliaries of vice, as of virtue."