Academics From Italy

"Make then your forecasts, my lords Astrologers, with your slavish physicians, by means of those astrolabes with which you seek to discern the fantastic nine moving spheres; in these you finally imprison your own minds, so that you appear to me but as parrots in a cage, while I watch you dancing up and down, turning and hopping within those circles. We know that the Supreme Ruler cannot have a seat so narrow, so miserable a throne, so trivial, so scanty a court, so small and feeble a simulacrum that phantasm can bring to birth, a dream shatter, a delusion restore, a calamity diminish, a misdeed abolish and a thought renew it again, so that indeed with a puff of air it were brimful and with a single gulp it were emptied. On the contrary we recognize a noble image, a marvellous conception, a supreme figure, an exalted shadow, an infinite representation of the represented infinity, a spectacle worthy of the excellence and supremacy of Him who transcendeth understanding, comprehension or grasp. Thus is the excellence of God magnified and the greatness of his kingdom made manifest; He is glorified not in one, but in countless suns; not in a single earth, a single world, but in a thousand thousand, I say in an infinity of worlds."

"After it hath been seen how the obstinate and the ignorant of evil disposition are accustomed to dispute, it will further be shewn how disputes are wont to conclude; although others are so wary that without losing their composure, but with a sneer, a smile, a certain discreet malice, that which they have not succeeded in proving by argument — nor indeed can it be understood by themselves — nevertheless by these tricks of courteous disdain they pretend to have proven, endeavouring not only to conceal their own patently obvious ignorance but to cast it on to the back of their adversary. For they dispute not in order to find or even to seek Truth, but for victory, and to appear the more learned and strenuous upholders of a contrary opinion. Such persons should be avoided by all who have not a good breastplate of patience."

"When we consider the being and substance of that universe in which we are immutably set, we shall discover that neither we ourselves nor any substance doth suffer death; for nothing is in fact diminished in its substance, but all things, wandering through infinite space, undergo change of aspect."

"It is then unnecessary to investigate whether there be beyond the heaven Space, Void or Time. For there is a single general space, a single vast immensity which we may freely call Void; in it are innumerable globes like this one on which we live and grow. This space we declare to be infinite, since neither reason, convenience, possibility, sense-perception nor nature assign to it a limit. In it are an infinity of worlds of the same kind as our own."

"To a body of infinite size there can be ascribed neither centre nor boundary... Thus the Earth no more than any other world is at the centre."

"When the end comes, you will be esteemed by the world and rewarded by God, not because you have won the love and respect of the princes of the earth, however powerful, but rather for having loved, defended and cherished one such as I ... what you receive from others is a testimony to their virtue; but all that you do for others is the sign and clear indication of your own."

"The universe comprises all being in a totality; for nothing that exists is outside or beyond infinite being, as the latter has no outside or beyond."

"Anything we take in the Universe, because it has in itself that which is All in All, includes in its own way, the entire soul of the world, which is entirely in any part of it."

"It is manifest that every soul has a certain continuity with the soul of the Universe, so that it must be understood to exist and to be included not only there where it liveth and feeleth, but it is also by its essence and substance diffused throughout immensity. The power of each soul is itself somehow present afar in the Universe. It is not mixed, yet is there in some presence."

"All things are in the Universe, and the universe is in all things: we in it, and it in us; in this way everything concurs in a perfect unity."

"Everything that makes diversity of kinds, of species, differences, properties... everything that consists in generation, decay, alteration and change is not an entity, but a condition and circumstance of entity and being, which is one, infinite, immobile, subject, matter, life, death, truth, lies, good and evil."

"This whole which is visible in different ways in bodies, as far as formation, constitution, appearance, colors and other properties and common qualities, is none other than the diverse face of the same substance — a changeable, mobile face, subject to decay, of an immobile, permanent and eternal being."

"The Universe is one, infinite, immobile. The absolute potential is one, the act is one, the form or soul is one, the material or body is one, the thing is one, the being in one, one is the maximum and the best... It is not generated, because there is no other being it could desire or hope for, since it comprises all being. It does not grow corrupt. because there is nothing else into which it could change, given that it is itself all things. It cannot diminish or grow, since it is infinite."

"We find that everything that makes up difference and number is pure accident, pure show, pure constitution. Every production, of whatever kind, is an alteration, but the substance remains always the same, because it is only one, one divine immortal being."

"The universal Intellect is the intimate, most real, peculiar and powerful part of the soul of the world. This is the single whole which filleth the whole, illumineth the universe and directeth nature to the production of natural things, as our intellect with the congruous production of natural kinds."

"It is manifest... that every soul and spirit hath a certain continuity with the spirit of the universe, so that it must be understood to exist and to be included not only there where it liveth and feeleth, but it is also by its essence and substance diffused throughout immensity... The power of each soul is itself somehow present afar in the universe... Naught is mixed, yet is there some presence. Anything we take in the universe, because it has in itself that which is All in All, includes in its own way the entire soul of the world, which is entirely in any part of it."

"Cause, Principle, and One eternal From whom being, life, and movement are suspended, And which extends itself in length, breadth, and depth, To whatever is in Heaven, on Earth, and Hell; With sense, with reason, with mind, I discern, That there is no act, measure, nor calculation, which can comprehend That force, that vastness and that number, Which exceeds whatever is inferior, middle, and highest; Blind error, avaricious time, adverse fortune, Deaf envy, vile madness, jealous iniquity, Crude heart, perverse spirit, insane audacity, Will not be sufficient to obscure the air for me, Will not place the veil before my eyes, Will never bring it about that I shall not Contemplate my beautiful Sun."

"Given that annihilation of nature in its entirety is impossible, and that death and dissolution are not appropriate to the whole mass of this entire globe or star, from time to time, according to an established order, it is renewed, altered, changed, and transformed in all its parts."

"He was a man of grave and cultivated mind, of rapid and mature intelligence; inferior to no preceding astronomer, unless in order of succession and time ; a man, who in natural ability was far superior to Ptolemy, Hipparchus, Eudoxus, and all those others who followed in their footsteps. What he was, he became through having liberated himself from certain false axioms of the common and vulgar philosophy — I will not say blindness. Nevertheless, he did not depart far from them ; because, studying mathematics rather than Nature, he failed to penetrate and dig deep enough altogether to cut away the roots of incongruous and vain principles, and thus, removing perfectly all opposing difficulties, free himself and others from so many empty investigations into things obvious and unchangeable. In spite of all this, who can sufficiently praise the magnanimity of this German, who, having little regard to the foolish multitude, stood firm against the torrent of contrary opinion, and, although well-nigh unarmed with living arguments, resuming those rusty and neglected fragments which antiquity had transmitted to him, polished, repaired, and put them together with reasonings more mathematical than philosophical ; and so rendered that cause formerly contemned and contemptible, honourable, estimable, more probable than its rival, and certainly convenient and expeditious for purposes of theory and calculation? Thus this Teuton, although with means insufficient to vanquish, overthrow, and suppress falsehood, as well as resist it, nevertheless resolutely determined in his own mind, and openly confessed this final and necessary conclusion : that it is more possible that this globe should move with regard to the universe, than that the innumerable multitude of bodies, many of which are known to be greater and more magnificent than our earth, should be compelled, in spite of Nature and reason, which, by means of motions evident to the senses, proclaim the contrary, to acknowledge this globe as the centre and base of their revolutions and influences. Who then will be so churlish and discourteous towards the efforts of this man, as to cover with oblivion all he has done, by being ordained of the Gods as an Aurora — which was to precede the rising of this Sun of the true, ancient philosophy, buried during so many centuries in the tenebrous caverns of blind, malignant, froward, envious ignorance; and, taking note only of what he failed to accomplish, rank him amongst the number of the herded multitude, which discourses, guides itself, precipitates to destruction, according to the oral sense of a brutal and ignoble belief, rather than amongst those who, by the use of right reason, have been able to rise up, and resume the true course under the faithful guidance of the eye of divine intelligence."

"A constellation of the most pedantic, obstinate ignorance and presumption, mixed with a kind of rustic incivility, which would try the patience of Job."

"Time is the father of truth, its mother is our mind."

"Nature is none other than God in things... Animals and plants are living effects of Nature; Whence all of God is in all things... Think thus, of the sun in the crocus, in the narcissus, in the heliotrope, in the rooster, in the lion."

"There are countless suns and countless earths all rotating round their suns in exactly the same way as the seven planets of our system. We see only the suns because they are the largest bodies and are luminous, but their planets remain invisible to us because they are smaller and non-luminous. The countless worlds in the universe are no worse and no less inhabited than our earth. For it is utterly unreasonable to suppose that those teeming worlds which are as magnificent as our own, perhaps more so, and which enjoy the fructifying rays of a sun just as we do, should be uninhabited and should not bear similar or even more perfect inhabitants than our earth. The unnumbered worlds in the universe are all similar in form and rank and subject to the same forces and the same laws. Impart to us the knowledge of the universality of terrestrial laws throughout all worlds and of the similarity of all substances in the cosmos! Destroy the theories that the earth is the center of the universe! Crush the supernatural powers said to animate the world, along with the so-called crystalline spheres! Open the door through which we can look out into the limitless, unified firmament composed of similar elements and show us that the other worlds float in an ethereal ocean like our own! Make it plain to us that the motions of all the worlds proceed from inner forces and teach us in the light of such attitudes to go forward with surer tread in the investigation and discovery of nature! Take comfort, the time will come when all men will see as I do."

"If all things are in common among friends, the most precious is Wisdom. What can Juno give which thou canst not receive from Wisdom? What mayest thou admire in Venus which thou mayest not also contemplate in Wisdom? Her beauty is not small, for the lord of all things taketh delight in her. Her I have loved and diligently sought from my youth up."

"The Divine light is always in man, presenting itself to the senses and to the comprehension, but man rejects it."

"Chi vuole che la quaresima gli paia corta, si faccia debito per pagare a Pasqua."

"That I shall sink in death, I know must be; But with that death of mine what life will die? Across the air, I hear my heart's voice cry: Where dost thou bear me reckless one? Descend! Such rashness seldom ends but bitterly' "Fear not the lofty fall" I answer "rend With might the clouds, and be content to die, If God such a glorious death for us intend.""

"Since I have spread my wings to purpose high, The more beneath my feet the clouds I see, The more I give the winds my pinions free, Spurning the earth and soaring to the sky."

"Maiori forsan cum timore sententiam in me fertis quam ego accipiam."

"Se non è vero, è molto ben trovato."

"It has always hurt me to think that Galilei did not acknowledge the work of Kepler … That, alas, is vanity … You find it in so many scientists."

"Conclusions obtained by purely rational processes are, so far as Reality is concerned, entirely empty. It was because he recognized this, and especially because he impressed it upon the scientific world that Galileo became the father of modern physics and in fact of the whole of modern natural science."

"It is to the Italian astronomer, forced in old age by the Inquisition to turn aside from the more dangerous study of the machinery of the heavens, that we owe the first exposition of many of the problems of mechanics and statics, published... in 1638. Not only did Galileo put together whatever the sixteenth century had learned in the sciences affecting building construction, but from his study of the bending strength of a beam there dates a new branch of science—the theory of the strength of materials."

"As a believing scientist [...] it is my deep conviction that it is our task to search nature and the universe, as Galileo Galilei, the father of modern science, did, for the footprints of God."

"How does the world recognizes England, the United Kingdom, as the country that gave birth to the modern age? It was not Newton but Galilei who opened the Moderna age."

"In Galileo's time, professors of philosophy and theology—the subjects were inseparable—produced grand discourses on the nature of reality... all based on sophisticated metaphysical arguments. Meanwhile, Galileo measured how fast balls roll down inclined planes. How mundane! But the learned discourses, while grand, were vague. Galileo's investigations were clear and precise. The old metaphysics never progressed, while Galileo's work bore abundant, and at length spectacular, fruit. Galileo too cared about the big questions, but he realized that getting the genuine answers requires patience and humility before the facts."

"The worst that happened to men of science was that Galileo suffered an honorable detention and a mild reproof, before dying peacefully in his bed."

"The way in which the persecution of Galileo has been remembered is a tribute to the quiet commencement of the most intimate change in outlook which the human race had yet encountered. Since a babe was born in a manger, it may be doubted whether so great a thing has happened with so little stir."

"[T]he mathematical habit of mind and the mathematical procedure... had to be generated; otherwise Newton could never have thought of a formula representing the force between any two masses at any distance. ...Throughout the middle ages, under the influence of Aristotle, the science was entirely misconceived. Newton had the advantage of coming after a series of great men, notably Galileo... who in the previous two centuries had reconstructed the science and had invented the right way of thinking about it. He completed their work."

"The old Greek philosophy, which in Europe in the later middle ages was synonymous with the works of Aristotle, considered motion as a thing for which a cause must be found: a velocity required a force to produce and to maintain it. The great discovery of Galileo was that not velocity, but acceleration requires a force. This is the law of inertia of which the real content is: the natural phenomena are described by differential equations of the second order."

"To give us the science of motion God and Nature have joined hands and created the intellect of Galileo."

"The allusion to the "puzzling" problem of [the orbit of] Mars shows that Galileo ought not to have been unaware of the great work of Kepler published in 1609: Astronomia nova... in which the first two of Kepler's laws were formulated. Yet he does not mention here at all Kepler's success in solving the problem, nor his laws, nor his name even, which is brought up... only to criticize his belief in the Moon's attraction [effect upon tides], which is quite reasonably presented in the Astronomia nova and founded on astronomical reasons and not on mystical speculations."

"If Galileo had been willing to face the idea of a plurality of worlds, instead of resting on that of the Sun as the natural "centre of things," he might have been impelled to develop his system in the Newtonian sense. ...The position of the satellites in the Copernican scheme proved the existence of a multiplicity of centers. But the way that led from there was fraught with danger."

"Galileo's head was on the block... The crime was looking up for truth... And then you had to bring up reincarnation... How long 'til my soul gets it right... Can any human being ever reach that kind of light... I call on the resting soul of Galileo... King of night vision, king of insight... I'm not making a joke, you know me...I take everything so seriously... If we wait for the time 'til all souls get it right... Then at least I know there'll be no nuclear annihilation... Can any human being ever reach the highest light... Except for Galileo — God rest his soul... Except for the resting soul of Galileo... King of night vision, king of insight."

"How do heavy bodies fall? ...Galileo's investigation of dynamics was physical; Aristotle's was metaphysical. But unlike Galileo, we have the additional convenience of algebraic notation. Had it been invented in his day he would certainly have known it; almost certainly he would have been able to push his development of dynamics much farther."

"It was in Galileo's time that firearms were invented... What is the path of a cannonball? ...Characteristically, Galileo was engrossed with the problem; characteristically, he solved it. The outcome of his ingenuity we know today as the method of superposition."

"Galileo's comprehension of the concept of acceleration, which he defined as a change of velocity either in magnitude or direction... was an abstract idea that no one seems to have thought much about before. And in using it to test the still accepted Aristotelian precept that a moving object requires a force to maintain it, Galileo easily demonstrated that it is not motion but rather acceleration which cannot occur without an external force. Deliberately rejecting common sense as a prejudiced witness, he let nature herself speak in the form of a "hard, smooth and very round ball" rolling down a "very straight" ideal groove lined with polished parchment, and then rolling up another groove, clocking each roll "hundreds or times"... he showed that, while downward motion (helped by gravity force) makes speed increase and upward motion (hindered by gravity force) makes speed decrease, there is always a "boundary case" in between... where speed remains constant (without any appreciable force)—and that, by reducing friction, this boundary case can be made to approach a horizontal level where gravity has no effect. Similarly testing... he also drafted a law of falling bodies: "that the distances traversed, during equal intervals of time... stand to one another in the same ratio as the odd numbers beginning with unity." And his beautiful analysis of a cannonball's trajectory into horizontal and vertical components... was one day to be of enormous help to Isaac Newton in solving the riddle of gravity."

"History can be helpful in making sense of the world we live in. It can also be fascinating, even fun. How can even the best novelist or playwright invent someone like Augustus Caesar or Catherine the Great, Galileo or Florence Nightingale? How can screenwriters create better action stories or human dramas than exist, thousand upon thousand, throughout the many centuries of recorded history? There is a thirst out there both for knowledge and to be entertained, and the market has responded with enthusiasm."

"He endeavoured to determine the resistance of a beam, one end of which is built into a wall, when the tendency to break it arises from its own or an applied weight; and he concluded that the beam tends to turn about an axis perpendicular to its length, and in the plane of the wall. This problem, and, in particular, the determination of this axis is known as Galileo's problem."

"The first mathematician to consider the nature of the resistance of solids to rupture was Galileo. Although he treated solids as inelastic, not being in possession of any law connecting the displacements produced with the forces producing them, or of any physical hypothesis capable of yielding such a law, yet his enquiries gave the direction which was subsequently followed by many investigators."