Inventors

"Our virtues and our failings are inseparable, like force and matter. When they separate, man is no more."

"There is an influence which is getting strong and stronger day by day, which shows itself more and more in all departments of human activity, and influence most fruitful and beneficial—the influence of the artist. It was a happy day for the mass of humanity when the artist felt the desire of becoming a physician, an electrician, an engineer or mechanician or—whatnot—a mathematician or a financier; for it was he who wrought all these wonders and grandeur we are witnessing. It was he who abolished that small, pedantic, narrow-grooved school teaching which made of an aspiring student a galley-slave, and he who allowed freedom in the choice of subject of study according to one's pleasure and inclination, and so facilitated development."

"Nature may reach the same result in many ways. Like a wave in the physical world, in the infinite ocean of the medium which pervades all, so in the world of organisms, in life, an impulse started proceeds onward, at times, may be, with the speed of light, at times, again, so slowly that for ages and ages it seems to stay, passing through processes of a complexity inconceivable to men, but in all its forms, in all its stages, its energy ever and ever integrally present. A single ray of light from a distant star falling upon the eye of a tyrant in bygone times may have altered the course of his life, may have changed the destiny of nations, may have transformed the surface of the globe, so intricate, so inconceivably complex are the processes in Nature. In no way can we get such an overwhelming idea of the grandeur of Nature than when we consider, that in accordance with the law of the conservation of energy, throughout the Infinite, the forces are in a perfect balance, and hence the energy of a single thought may determine the motion of a universe."

"There is something within me that might be illusion as it is often case with young delighted people, but if I would be fortunate to achieve some of my ideals, it would be on the behalf of the whole of humanity. If those hopes would become fulfilled, the most exciting thought would be that it is a deed of a Serb."

"Ere long intelligence—transmitted without wires—will throb through the earth like a pulse through a living organism. The wonder is that, with the present state of knowledge and the experiences gained, no attempt is being made to disturb the electrostatic or magnetic condition of the earth, and transmit, if nothing else, intelligence."

"Ere many generations pass, our machinery will be driven by a power obtainable at any point of the universe. This idea is not novel. Men have been led to it long ago by instinct or reason; it has been expressed in many ways, and in many places, in the history of old and new. We find it in the delightful myth of Antaeus, who derives power from the earth; we find it among the subtle speculations of one of your splendid mathematicians and in many hints and statements of thinkers of the present time. Throughout space there is energy. Is this energy static or kinetic! If static our hopes are in vain; if kinetic — and this we know it is, for certain — then it is a mere question of time when men will succeed in attaching their machinery to the very wheelwork of nature."

"Russians are lucky - they have socialism and Stalin."

"Alternate currents, especially of high frequencies, pass with astonishing freedom through even slightly rarefied gases. The upper strata of the air are rarefied. To reach a number of miles out into space requires the overcoming of difficulties of a merely mechanical nature."

"A point of great importance would be first to know: what is the capacity of the earth? And what charge does it contain if electrified? Though we have no positive evidence of a charged body existing in space without other oppositely electrified bodies being near, there is a fair probability that the earth is such a body, for by whatever process it was separated from other bodies — and this is the accepted view of its origin — it must have retained a charge, as occurs in all processes of mechanical separation."

"For as old age is that period of life most remote from infancy, who does not see that old age in this universal man ought not to be sought in the times nearest his birth, but in those most remote from it?"

"Knowledge is like a sphere, the greater its volume, the larger its contact with the unknown."

"La netteté d’esprit cause aussi la netteté de la passion; c’est pourquoi un esprit grand et net aime avec ardeur, et il voit distinctement ce qu’il aime."

"There is a God-shaped vacuum in the heart of each man..."

"Pascal proves nothing in favour of Religion, unless that a man of genius may be foolish on some subjects, and is but a child, when he is weak enough to listen to his prejudices."

"Pascal's Thoughts are not a book. We must bear this observation in mind, if we are to judge of them aright. They are not a book; perhaps they may be two, or even more. They are — if we must give them a name and define them — they are Pascal himself — whole Pascal, excepting in so far as he was a geometrician, properly so called, and a natural philosopher. The Thoughts are only the papers on which this great man threw out, from time to time, all that occupied his powerful mind, until the excess of physical malady reduced him to complete inaction, and put, so to speak, the seals upon his genius. Great pains have been taken, and not without success, to reduce these scattered materials, by means of art, into a kind of whole. Sometimes, perhaps, the secret of the writer has been guessed; possibly, in certain cases, his intention has been entirely misunderstood."

"Against Pascal I say: The God of Abraham, Isaac, and Jacob and the God of the philosophers is the same God."

"To treat the living body as a mechanism was repugnant, and seemed even ludicrous, to Pascal."

"Pascal is the only great mathematician whose standing is equally great among writers. Moreover, his devotion to the Jansenist ideal of serving the needy had one enduring practical consequence: his idea of a public transportation system. Shortly before his death... Pascal saw the inauguration of the world's first omnibus service. Coaches could be taken from the Porte Sainte-Antoine to the Luxembourg in Paris for 5 sous, with the profits being directed to the relief of the poor."

"Pascal contrasts the objects of mathematics with other objects that are completely different, which he does not group under a common name, but merely enumerates and describes, although it is easy to recognise what he might have called, if he had had the language of his time, things of an aesthetic and moral nature; and at the same time he characterises with precise features the faculties of the mind to which these two kinds of objects respectively belong. No one else, in fact, had a clearer awareness of the difference between the two orders of things and faculties, whose contrast corresponds to that of matter and spirit; no one else had such a correct and vivid sense of the special nature of the two orders, and knew their consequences so well. (La filosofia di Pascal, p. 144)"

"An attempt has been made to prove, by means of selected passages from Pascal's Pensées, an apology for Christianity which he left in draft form, that by sacrificing reason to faith he denied the possibility of all philosophy. I propose to show, not as others seem to have done successfully, that Pascal was not a sceptic, but that in his “'Pensées”' there are, if not a system comparable in scope and detail to those of Descartes, of a Spinoza, a Malebranche or a Leibniz, at least the ideas that constitute the principles of a true philosophy. I propose to show equally that these ideas are in perfect agreement with Pascal's beliefs, and that there is no reason to be surprised by them, because there are none more suitable for harmonising, and even intimately uniting, Christianity and philosophy in their highest parts. (La filosofia di Pascal, p. 131)"

"Pascal is a judicious critic of Descartes, not opposing him at all points, but opposing him nevertheless, on points that are fundamental. He perceived, first, that the Cartesian desire for certain knowledge was based upon a false criterion of certainty. Descartes must begin with something so sure that it cannot be doubted, and was led, as a consequence, to believe that all genuine knowledge is technical knowledge. Pascal avoided this conclusion by his doctrine of probability: the only knowledge that is certain is certain on account of its partiality; the paradox that probable knowledge has more of the whole truth than certain knowledge. Secondly, Pascal perceived that the Cartesian raisonnement is never in fact the whole source of the knowledge involved in any concrete activity. The human mind, he asserts, is not wholly dependent for its successful working upon a conscious and formulated technique; and even where a technique is involved, the mind observes the technique 'tacitement, naturellement et sans art' . The precise formulation of rules of inquiry endangers the success of the inquiry by exaggerating the importance of method. Pascal was followed by others, and indeed much of the history of modern philosophy revolves round this question. But, though later writers were often more elaborate in their criticism, few detected more surely than Pascal that the significance of Rationalism is not its recognition of technical knowledge, but its failure to recognize any other: its philosophical error lies in the certainty it attributes to technique and in its doctrine of the sovereignty of technique; its practical error lies in its belief that nothing but benefit can come from making conduct self-conscious."

"Pascal was no obscurantist, but he measured how far science (esprit de géometrie) may go and become irrelevant to the problems of human destiny. The achievements of science are not denied by this stand, nor are they dismissed as the ostrich with its head burrowed in sand dismisses reality. What is asserted is that our original endowments as they reflect on the data of experience, are, with all their limitations and imperfections, the only necessary and indispensable means by which we confront existence, the only weapon commensurate with our struggle."

"To philosophize is always to rehabilitate the essential importance of the human dimension, and hence the dignity of man. This was the meaning of the Socratic quest, and also the meaning of Pascal's anguish at the threshold of the Cartesian revolution in science. In this respect, Pascal is an even more significant figure of philosophy than Socrates: his was the first brutal reaction to the claim of science to remove man from his position as a privileged being in creation; nobody has so far been able to improve upon his demonstration why science is unsatisfactory to give man meaning and to fill his heart with joy."

"Pascal scornfully said that simple workmen had been able to convince of error those great men that are called 'philosophers'. It was, then, these unlearned men... who were most ready to believe 'what they saw with their eyes and touched with their hands'."

"Man infinitely surpasses man."

"What Pascal said of an effective religion is true of any effective doctrine: It must be "contrary to nature, to common sense and to pleasure.""

"It is significant that we owe the first explicit formulation of the principle of recurrence to the genius of Blaise Pascal... Pascal stated the principle in a tract called The Arithmetic Triangle which appeared in 1654. Yet... the gist of the tract was contained in the correspondence between Pascal and Fermat regarding a problem in gambling, the same correspondence which is now regarded as the nucleus from which developed the theory of probabilities. It surely is a fitting subject for mystic contemplation that the principle of reasoning by recurrence, which is so basic in pure mathematics, and the theory of probabilities, which is the basis of all deductive sciences, were both conceived while devising a scheme for the division of stakes in an unfinished match of two gamblers."

"I was very fortunate. I was curious and handicapped as a young person. And so I read everything I could get my hands on and I have a good memory. And I have a lot of energy. It's a blessing. So I continued to learn. I'm hungry for knowledge still. Not every young person is blessed or visited with that combination. So he or she desperately needs to go to a university and be introduced to some of the great ideas of humankind. One needs to worry over the question of "Why am I here, what am I doing here of all things in this place, this life?" One needs to know Aristotle and Plato. One needs it desperately. One must have Leopold and Pascal. Must! I mean desperately, if one is to be at ease anywhere. One should have read the African folk tale to see what the West African calls deep thinking. One must worry over ideas that if I come forward how far do we have to go before we meet? And when we meet will I go through you and you go through me and continue until we meet someone else? This is an African concept. Do we stay once we meet or do I actually go right through you and pass through you and continue on that road. Is that what life is? All this knowledge is available at universities and one is more likely to run into a great teacher at a university than one is at a pool hall. It just follows."

"During the years that followed the writing of the and lesser religious works Pascal began to devote his life to the advancement of Christianity. At the the heart of this activity were the Thoughts, which, begun around September 1656, date mainly from 1657 and 1658. ... This is a largely unfinished work, and (in the view of many commentators) is the most ambitious of all attempts to convert the agnostic and the atheist to religious belief."

"One of the principal reasons that diverts those who are entering upon this knowledge so much from the true path which they should follow, is the fancy that they take at the outset that good things are inaccessible, giving them the name great, lofty, elevated, sublime. This destroys everything. I would call them low, common, familiar: these names suit it better; I hate such inflated expressions."

"The mind must not be forced; artificial and constrained manners fill it with foolish presumption, through unnatural elevation and vain and ridiculous inflation, instead of solid and vigorous nutriment."

"I make no doubt... that these rules are simple, artless, and natural."

"Nature, which alone is good, is wholly familiar and common."

"The best books are those, which those who read them believe they themselves could have written."

"It is not among extraordinary and fantastic things that excellence is to be found, of whatever kind it may be. We rise to attain it and become removed from it: it is oftenest necessary to stoop for it."

"Nothing is more common than good things: the point in question is only to discriminate them; and it is certain that they are all natural and within our reach and even known to all mankind."

"The method of not erring is sought by all the world. The logicians profess to guide it, the geometricians alone attain it, and apart from science, and the imitations of it, there are no true demonstrations."

"Logic has borrowed, perhaps, the rules of geometry, without comprehending their force... it does not thence follow that they have entered into the spirit of geometry, and I should be greatly averse... to placing them on a level with that science that teaches the true method of directing reason."

"One man will say a thing of himself without comprehending its excellence, in which another will discern a marvelous series of conclusions, which makes us affirm that it is no longer the same expression, and that he is no more indebted for it to the one from whom he has learned it, than a beautiful tree belongs to the one who cast the seed, without thinking of it, or knowing it, into the fruitful soil which caused its growth by its own fertility."

"I would inquire of reasonable persons whether this principle: Matter is naturally wholly incapable of thought, and this other: I think, therefore I am, are in fact the same in the mind of Descartes, and in that of St. Augustine, who said the same thing twelve hundred years before. ...I am far from affirming that Descartes is not the real author of it, even if he may have learned it only in reading this distinguished saint; for I know how much difference there is between writing a word by chance without making a longer and more extended reflection on it, and perceiving in this word an admirable series of conclusions, which prove the distinction between material and spiritual natures, and making of it a firm and sustained principle of a complete metaphysical system, as Descartes has pretended to do. ...it is on this supposition that I say that this expression is as different in his writings from the saying in others who have said it by chance, as in a man full of life and strength, from a corpse."

"All who say the same things do not possess them in the same manner; and hence the incomparable author of the Art of Conversation pauses with so much care to make it understood that we must not judge of the capacity of a man by the excellence of a happy remark that we heard him make. ...let us penetrate, says he, the mind from which it proceeds... it will oftenest be seen that he will be made to disavow it on the spot, and will be drawn very far from this better thought in which he does not believe, to plunge himself into another, quite base and ridiculous."

"If they have entered into the spirit if these rules, and if the rules have made sufficient impression on them to become rooted and established in their minds, they will feel how much difference there is between what is said here and what a few logicians may perhaps have written by chance approximating to it in a few passages of their works."

"As to the objection that these rules are common in the world, that it is necessary to define every thing and to prove every thing, and that logicians themselves have placed them among their art, I would that the thing were true and that it were so well known... But so little is this the case, that, geometricians alone excepted, who are so few in number that they are a single in a whole nation and long periods of time, we see no others that know it."

"It is necessary to show that there is nothing so little known [as the above rules], nothing more difficult to practice, or nothing more useful and universal."

"These five rules [above] form all that is necessary to render proofs convincing, immutable, and to say all, geometrical; and the eight rules together render them even more perfect."

"Rules necessary for demonstrations. To prove all propositions, and to employ nothing for their proof but axioms fully evident of themselves, or propositions already demonstrated or admitted; Never to take advantage of the ambiguity of terms by failing mentally to substitute definitions that restrict or explain them."

"Rules necessary for axioms. Not to demand in axioms any but things perfectly evident."

"Rules necessary for definitions. Not to leave any terms at all obscure or ambiguous without definition; Not to employ in definitions any but terms perfectly known or already explained."

"Five [of the above] rules are of absolute necessity, and cannot be dispensed with without essential defect and often without error."

"These eight rules [above] contain all the precepts for solid and immutable proofs."