# Scientific Revolution

(Redirected from Scientific revolution)

The scientific revolution was the emergence of modern science during the early modern period, when developments in mathematics, physics, astronomy, biology, medicine, and chemistry transformed views of society and nature. The scientific revolution has been claimed to have begun in Europe towards the end of the Renaissance era and continued through the late 18th century, influencing the intellectual social movement known as the Enlightenment. However, there exist current arguments that the revolution was a tipping point reached through a gradual emergence of civilization, resulting from the efforts of mankind throughout the world, a merging of the manual with the cerebral, and of practice, experimentation, and the growth of technology with theory.

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CONTENT:
A, B, C , D, E-F, G, H, I-J, K, L, M, N-R, S, T-Z, See also

## Quotes

"Integrae Naturae" from
Utriusque cosmi... (1624)
Robert Fludd

### A

• In... "The Portuguese Discoveries and the Rise of Modern Science", Prof. Hooykaas supported the thesis "That the Portuguese seafarers and scientists of the 15th and 16th centuries made an important contribution to the rise of modern science by unintentionally undermining the belief in scientific authorities and by strengthening the confidence in the empirical, natural-historic method". ...Prof. Hooykaas analyzed the meaning of "natural science" in Antquity and the Middle Ages... characterized by too great a confidence in human reason and a sacred respect for what the authorities in the ancient world had written. ...In 1956, Prof. Hooykaas had already affirmed that "the discovery of the New World caused many difficulties to naturalists and historians..." …botanical species of medical interest warned that Dioscorides and Galen had not known everything; ...Portuguese seamen had clarified many doubts and shown the existence of the antipodes etc..
• The modern origins of empirical scientific knowledge lie in the sixteenth and seventeenth centuries. This time period, known as the Scientific Revolution, saw advances such as Newton's theory of gravitation, Boyle's gas laws, Hooke's recognition that all living things are made of cells, and the beginning of the Royal Society... The spirit that infused this time period brought forth a whole host of new knowledge, and the disproving of facts that had existed for centuries, if not millennia. ...some of the most important components of this endeavor were to try to eliminate errors and create a means of spreading correct facts. Many of the papers presented in the early years of the Royal Society were devoted to trying to understand errors, to root out misunderstandings, or to test the veracity of tales told to them that often seemed too good to be true. ...Most important, they didn't keep this new knowledge secret. They spread it far and wide, publishing it and disseminating it through the loose network of natural philosophers of Europe.
• Samuel Arbesman, The Half-life of Facts: Why Everything We Know has an Expiration Date (2012)

### B

• Concerning ourselves we speak not; but as touching the matter which we have in hand, this we ask;—that men deem it not to be the setting up of an Opinion, but the performing of a Work; and that they receive this as a certainty; that we are not laying the foundations of any sect or doctrine, but of the profit and dignity of mankind:—Furthermore, that being well disposed to what shall advantage themselves, and putting off factions and prejudices, they take common counsel with us, to the end that being by these our aids and appliances freed and defended from wanderings and impediments, they may lend their hands also to the labours which remain to be performed:—And yet, further, that they be of good hope; neither feign and imagine to themselves this our Reform as something of infinite dimension and beyond the grasp of mortal man, when, in truth, it is of infinite errour, the end and true limit; and is by no means unmindful of the condition of mortality and humanity, not confiding that such a thing can be carried to its perfect close in the space of one single age, but assigning it as a task to a succession of generations.
• [L]ong ago have those doctrines been exploded of the Force of the First Mover and the Solidity of the Heaven,—the stars being supposed to be fixed in their orbs like nails in a roof. And with no better reason is it affirmed, that there are different poles of the zodiac and of the world; that there is a Second Mover of counteraction to the force of the first; that all the heavenly bodies move in perfect circles; that there are eccentrics and epicycles whereby the constancy of motions in perfect circles is preserved; that the moon works no change or violence in the regions above it: and the like. And it is the absurdity of these opinions that has driven men to the diurnal motion of the earth; which I am convinced is most false. But there is scarce any one who has made inquiries into the physical causes, as well of the substance of the heavens both stellar and interstellar...
• Francis Bacon, De Augmentis Scientarum (1623; but most was written 1605) as quoted in The Works of Francis Bacon: Translations of the Philosophical Works (1875) p. 348, Vol. IV of Translations of the Philosophical Works ed. James Spedding, Robert Leslie Ellis, Douglas Denon Heath.
• Though Lavoisier generally gets credit for the authorship of this principle [ conservation of mass ], others had conceived it before him, The seventeenth century chemysts, notably Helmont, Starkey, and Boyle, had a dawning awareness of the importance of weighing and measuring materials before and after an experimental process, though their methods and measurement devices were not so precise. In 1623, Francis Bacon declared, "..when they percieve that a body which was before manifest to the senses has escaped and disappeared, they should not admit or liquidate the account before it has been shown to them where the body has gone to and into what it has been received." And as early as 450 B.C., Anaxagoras argued, "Wrongly do the Greeks suppose that aught begins or ceases to be; for nothing comes into being or is destroyed; but all is an aggregation or secretion of preexisting things; so that all becoming might more correctly be called becoming mixed, and all corruption, becoming separate."
• In Newton's time only two kinds of force were available for quantitative investigation. One was the force of gravity; the other the forces of push and pull encountered in everyday life... Newton endeavored to construct a general theory of all forces, both those known in his time and those that might be discovered and investigated later. He intended his theory of gravitation to be one example that he himself could work out fully... Newton formulated his celebrated three laws: (1) In the absence of force, a body will continue at rest or in its present state of uniform rectilinear motion. (2) In the presence of force, a body will be accelerated in the direction of that force, the product of its mass by its acceleration being equal to the force (f = ma). (3) To every force there corresponds an equal counterforce, acting in a direction opposite to that of the force... According to the third law, then, each planet exerts an attractive counterforce to the sun, accelerating it toward the planet... a relatively small acceleration, because the mass of the sun so vastly exceeds... every planet...
• Peter G. Bergmann, The Riddle of Gravitation: From Newton to Einstein to Today's Exciting Theories (1968) pp. 13-14.
• During medieval times, men accepted Ptolemy's view that the earth was the natural center of the universe. ...[A]dapting earth as a universal frame of reference (standard to which all motions are referred) was justified... Once the Ptolemaic point of view was abandoned, the choice... was reopened. Copernicus substituted the sun... as the "natural" frame of reference, and his choice was indeed excellent for describing the motions within the solar system. Today, however, it is understood that the sun is but one of millions of fixed stars in the galaxy... one of innumerable galaxies... Newton was well aware of the profundities involved in the choice of a proper frame of reference. All of his fundamental laws of mechanics involved statements concerning accelerations, changes to velocities... rather than the velocities themselves. The accelerations were tied to distances between the bodies... The choice of the frame of reference had no effect on the determination of distances... but the accelerations which resulted from the mutual attractions and repulsions of bodies were to be reckoned in relation to a universal norm... intimately bound up with the choice of a frame of reference. ...[T]here was no such thing as absolute rest, or absolute motion, for that matter, but only absolute acceleration... governed by the forces resulting from the proximity of other bodies.
• Peter G. Bergmann, The Riddle of Gravitation: From Newton to Einstein to Today's Exciting Theories (1968) pp. 20-24.
• The credit of first using the telescope for astronomical purposes is almost invariably attributed to Galilei, though his first observations were in all probability slightly later in date than those of Harriot and Marius, is to a great extent justified by the persistent way in which he examined object after object, whenever there seemed any reasonable prospect of results following, by the energy and acuteness with which he followed up each clue, by the independence of mind with which he interpreted his observations, and above all by the insight with which he realised their astronomical importance.
• Let me close by reminding you of what Newton actually did on the day that he conceived ${\displaystyle G=k{\frac {mm'}{r^{2}}}}$. ...Newton did not have any subsidies, grants, funds, Secret Service money. But he had the moon. He said, "... I cannot throw a ball round the world, but let me picture the moon as if it were a ball which has been flung around the world... How long will it take to go round the world?" ...He knew the value of gravity at the earth's surface ...but he did not know the value of the earth's gravity for the moon. He said, "Let us suppose that it is given by an inverse square law. Now, how long will it take the moon to go around?" It comes out at twenty-eight days. As Newton said, "They agreed pretty nearly."
• Jacob Bronowski, The Origins of Knowledge and Imagination (1978) pp. 60-61.
• The gloriously romantic universe of Dante and Milton, that set no bounds to the imagination of man as it played over space and time, had now been swept away. Space was identified with the realm of geometry, time with the continuity of number. The world that people had thought themselves living in—a world rich with colour and sound, redolent with fragrance, filled with gladness, love and beauty, speaking everywhere of purposive harmony and creative ideals—was crowded now into minute corners in the brains of scattered organic beings. The really important world outside was a world hard, cold, colourless, silent, and dead; a world of quantity, a world of mathematically computable motions in mechanical regularity. The world of qualities as immediately received by man became just a curious and quite minor effect of that infinite machine beyond.
• [T]he supremely important field for the ordinary purposes of education... perhaps more in need of the intervention of the historian... is the so-called "scientific revolution," popularly associated with the sixteenth and seventeenth centuries, but reaching back in an unmistakably continuous line...much earlier still. Since the revolution overturned the authority in science not only in the middle ages but of the ancient world—since it ended not only in the eclipse of Aristotelian physics—it outshines everything since the rise of Christianity and reduces the Renaissance and Reformation to the rank of mere episodes, mere internal displacements, within the system of medieval Christendom. Since it changed the character of men's habitual mental operations even in the conduct of the non-material sciences, while transforming the whole diagram of the physical universe and the very texture of human life itself. It looms so large as the real origin both of the modern world and of the modern mentality that our customary periodisation of European history has become an anachronism and an encumbrance.
• William Gilbert published a famous book on the magnet in 1600 and laid himself open to the gibes of Sir Francis Bacon for being one of those people so taken by their pet subject of research that they could only see the whole universe transposed into terms of it. Having made a spherical magnet called a terrella, and having found that it revolved when placed in a magnetic field, he decided that the whole earth was a magnet, that gravity was a form of magnetic attraction, and that the principles of the magnet accounted for the workings of the Copernican system as a whole. Kepler and Galileo were both influenced by this view, and with Kepler, it became an integral part of his system, a basis for the doctrine of almost universal gravitation.

### C

• In mechanics, Descartes can hardly be said to have advanced beyond Galileo. The latter had overthrown the ideas of Aristotle on this subject and Descartes simply "threw himself upon the enemy" that had already been "put to the rout." His statement of the first and second laws of motion was an improvement in form, but his third law is false in substance. The motions of bodies in their direct impact was imperfectly understood by Galileo erroneously given by Descartes and first correctly stated by C. Wren, J. Wallis, and C. Huygens.
• In the sixteenth and seventeenth centuries the medieval world view, based on Aristotelian philosophy and Christian theology, changed radically. The notion of an organic, living, and spiritual universe was replaced by that of a world as a machine, and the world machine became the dominant metaphor of the modern era. This radical change was brought about by the new discoveries in physics, astronomy, and mathematics known as the Scientific Revolution and associated with the names of Copernicus, Galileo, Descartes, Bacon, and Newton.
• From the thick darkness of the middle ages man's struggling spirit emerged as in new birth; breaking out of the iron control of that period; growing strong and confident in the tug and din of succeeding conflict and revolution, it bounded forwards and upwards with restless vigour to the investigation of physical and moral truth; ascending height after height; sweeping afar over the earth, penetrating afar up into the heavens; increasing in endeavour, enlarging in endowment; every where boldly, earnestly out-stretching, til, in the AUTHOR of the PRINCIPIA, one arose, who, grasping the master-key of the universe and treading its celestial paths, opened up to the human intellect the stupendous realities of the material world, and, in the unrolling of its harmonies, gave to the human heart a new song to the goodness, wisdom, and majesty of the all-creating, all-sustaining, all-perfect God.
• In the century from Copernicus to Newton, the understanding of the universe had been transformed. The Earth had been firmly dislodged from its position of celestial preeminence at the center of the Ptolemaic universe. The nature of the orbits of the planets had been revealed by the masterful observations of Tycho and their ingenious interpretation by Kepler. The failure to detect parallax in stars was accepted as an indication that they must be at vast distances beyond the solar system, such that any parallax would be too small to be measurable with current instruments. Galileo introduced the telescope and produced observations that provided validations of the new ideas. And the genius of Newton brought forth the reflecting telescope, new laws of motion, and an understanding of the fundamentals of optics. It also delivered the theory of universal gravitation, which explained the motions of the planets and identified the primary force in shaping the universe. Real science now had its firm foundation.
• David H. Clark & Matthew D. H. Clark, Measuring the Cosmos: How Scientists Discovered the Dimensions of the Universe (2004)
• The clash between reason and Portuguese experience. Hooykaas' starting point is the intellectual challenge which, from the early 15th century onward, was posed by the discoveries of the Portuguese mariners... There follows an array of fascinating accounts of, and quotations from, works by contemporary authors who were compelled to face as facts numerous phenomena the ancients had been quite sure could not possibly be observed because they were bound not to exist. Examples are Aristotle's denial that the tropics could be inhabited; Ptolemy's mathematically derived conviction that all dry land is confined to part of the Northern Hemisphere, and so on. ...In Hooykaas' view we are witnessing here a birth of 'natural history' in the domain of the hard and given fact... The narrow world of sense-data to which the ancient natural philosophers had confined their all-too-rational speculations was now being blown to pieces. And this was not being done by fellow natural philosophers, but rather at the urging of scarcely literate sailors!
• H. Floris Cohen, The Scientific Revolution: A Historiographical Inquiry (1994)
• Galileo had the experience of beholding the heavens as they actually are for perhaps the first time, and wherever he looked he found evidence to support the Copernican system against the Ptolemaic, or at least weaken the authority of the ancients. This shattering experience—of observing the depths of the universe, of being the first mortal to know what the heavens are actually like—made so deep a an impression... that it is only by considering the events of 1609... that one can understand the subsequent direction of his life.
• His conflict with the Catholic Church arose because deep in his heart Galileo was a believer. There was for him no path of compromise, no way to have separate secular and theological cosmologies. If the Copernican system was true as he believed, what else could Galileo do but fight with every weapon he had in his arsenal... to make his Church accept a new system of the universe. ...In the contrast between Galileo's heroic stand when he tried to reform the cosmological basis of orthodox theology and his humbled, kneeling surrender when he disavowed his Copernicanism, we may sense the tremendous forces attendant on the birth of modern science.
• The seventeenth century witnessed the birth of modern science as we know it today. The science was something new, based on a direct confrontation of nature by experiment and observation. But there was another feature of the new science—a dependence on numbers, on real numbers of actual experience.
...The ancients knew a few numerical laws... But prior to the Scientific Revolution, the goal of science (or the study of nature) was not to seek laws of nature expressed in terms of numbers or number relations. ...the new science ...not only found laws based on numbers but they were also willing to express these laws in terms of higher powers of numbers—squares and cubes.
• I. Bernard Cohen, The Triumph of Numbers: How Counting Shaped Modern Life (2005)
• The pioneering practitioners of the new science knew that they were producing a new kind of knowledge and so they declared this newness in the titles of their books and articles. Thus we have Galileo's Two New Sciences, Boyle's New Experiments, Kepler's New Astronomy, and Tartaglia's New Science. When Ben Jonson presented a masque entitled "News from the New World," his new world was not the newly found continent of North America, but the new world of science, the world revealed by the telescope of Galileo.
• I. Bernard Cohen, The Triumph of Numbers: How Counting Shaped Modern Life (2005)
• Although the authority of the ancient authors as the arbiters of all scientific knowledge had obviously been severely weakened, it did not immediately crumble. Too many professional, medical, ecclesiastical, and legal careers were founded on that authority for it to simply disappear without a struggle. The scientific elite resisted the infusion of new natural knowledge with all its might, but in the long run, its rearguard efforts were futile. ...The common sense of the working people prevailed and brought about the changes in worldview that have come to be known as the Scientific Revolution.
• Clifford D. Conner, A People's History of Science (2005)
• Koyré's exaltation of the "Platonic and Pythagorean" elements of the Scientific Revolution... was based on a demonstrably false understanding of how Galileo reached his conclusions. Koyré asserted that Galileo merely used experiments as a check on the theories he devised by mathematical reasoning. But later research has definitively established that Galileo's experiments preceded his attempts to give a mathematical account of their results.

### D

• Growing skill in the working of metals is... exemplified by the development of the instrument-maker's craft. To many... we make reference elsewhere—for example, clocks, navigational instruments and balances. ...Brass, ivory, and closed-grained woods, such as box and pear, were the principal materials of the instrument-makers, with brass becoming increasingly favoured because of its rigidity and permanence. For the shaping of metal the lathe was a valuable tool, and the clock-makers in particular developed it greatly for precision work. The engraving of scales was, of course, a most important part of the work: until the advent of mechanical devices, this was done with simple engraving tools and punches, the design being first set out by geometrical methods. The earliest products of the instrument-makers were made mainly for astronomical purposes or to apply astronomical methods in navigation: they included astrolabes, cross-staffs, quadrants, sundials, and orreries, as well as basic geometrical instruments such as compasses and rules. From the seventeenth century, however, a variety of new instruments, or much improved versions of old ones, began to appear. The needs of surveyors led to the elaboration of the hodometer... enabling distances to be measured... Improvements in artillary called for more accurate sighting of cannon, and by the beginning of the seventeenth century the gunner's level had been highly developed. The invention of the telescope and microscope introduced new problems both in the making of lenses and of the instruments in which they were mounted: the new instruments were a regular part of the instrument-maker's trade from about 1660. From 1700 the revolution in science was making still further demands on the craft, and air-pumps, thermometers, barometers, electrical machines, and other instruments were called for in constantly increasing quantities.
• T. K. Derry & Trevor I. Williams, A Short History of Technology: From the Earliest Times to A.D. 1900 (1960)
• After sketching his program for the scientific revolution that he foresaw, Bacon ends his account with a prayer: "Humbly we pray that this mind may be steadfast in us, and that through these our hands, and the hands of others to whom thou shalt give the same spirit, thou wilt vouchsafe to endow the human family with new mercies". That is still a good prayer for all of us as we begin the twenty-first century.
• The great question for our time is, how to make sure that the continuing scientific revolution brings benefits to everybody rather than widening the gap between rich and poor. To lift up poor countries, and poor people in rich countries, from poverty, to give them a chance of a decent life, technology is not enough. Technology must be guided and driven by ethics if it is to do more than provide new toys for the rich.
• Freeman Dyson, Progress In Religion (2000)
• Science as subversion has a long history. ...Davis and Sakharov belong to an old tradition in science that goes all the way back to the rebels Benjamin Franklin and Joseph Priestley in the eighteenth century, to Galileo and Giordano Bruno in the seventeenth and sixteenth. If science ceases to be a rebellion against authority, then it does not deserve the talents of our brightest children. ...We should try to introduce our children to science today as a rebellion against poverty and ugliness and militarism and economic injustice.
• Freeman Dyson, The Scientist As Rebel (2006)
• There is an enormous variety of things that we never dreamed of, like... black holes, pulsars, quasars, all these unbelievably active goings-on in the universe... [I]n Aristotle's time the universe... was supposed to be quiescent, it was supposed to be perfect and peaceful, and nothing ever happened in the celestial sphere; and that remained true... throughout all of the revolutions... It remained the general view of astronomers... through Copernicus, and Galileo, and Newton, and everybody else... until just the last 30 years, and now we know it's not like that at all. In fact the universe is full of violent events, and fantastic strong gravitational fields, and collapsed objects, and huge outpourings of energy.

### E-F

• I want now to glance for a moment at the development of the theoretical method, and while doing so especially to observe the relation of pure theory to the totality of the data of experience. Here is the eternal antithesis of the two inseparable constituents of human knowledge, Experience and Reason, within the sphere of physics. We honour ancient Greece as the cradle of western science. She for the first time created the intellectual miracle of a logical system, the assertions of which followed one from another with such rigor that not one of the demonstrated propositions admitted of the slightest doubt—Euclid's geometry. This marvellous accomplishment of reason gave to the human spirit the confidence it needed for its future achievements. ...But yet the time was not ripe for a science that could comprehend reality, was not ripe until a second elementary truth had been realized, which only became the common property of philosophers after Kepler and Galileo. Pure logical thinking can give us no knowledge whatsoever of the world of experience; all knowledge about reality begins with experience and terminates in it.
• Although many historians of the new millennium now take issue with the notion of a Scientific Revolution, it is generally agreed that Newton's work culminated the long development of European science, creating a synthesis that opened the way for the scientific culture of the modern age.
• John Freely, Before Galileo: The Birth of Modern Science in Medieval Europe (2012)

### G

• I mentally conceive of some moveable [sphere] projected on a horizontal plane, all impediments being put aside. Now it is evident... that equable motion on this plane would be perpetual if the plane were of infinite extent, but if we assume it to be ended, and [situated] on high, the movable, driven to the end of this plane and going on further, adds on to its previous equable and indelible motion, that downward tendency which it has from its heaviness. Thus, there emerges a certain motion, compounded...
• It seems to me proper to adorn the Author's thought here with its conformity to a conception of Plato's regarding the determination of the various speeds of equable motion in the celestial motions of revolution. ...he said that God, after having created the movable celestial bodies, in order to assign to them those speeds with which they must be moved perpetually in equable circular motion, made them depart from rest and move through determinate spaces in that natural straight motion in which we sensibly see our moveables to be moved from the state of rest, successively accelerating. And he added that these having been made to gain that degree [of speed] which it pleased God that they should maintain forever, He turned their straight motion into circulation, the only kind [of motion] that is suitable to be conserved equably, turning always without retreat from or approach toward any pre-established goal desired by them. The conception is truly worthy of Plato, and it is to be more esteemed to the extent that its foundations, of which Plato remained silent, but which were discovered by our Author in removing their poetical mask or semblance, show it the guise of a true story.
• Galileo Galilei Two New Sciences (1638) Tr. Stillman Drake, Day Four, 283-284 Sagredo speaking
• I. Bernard Cohen's thesis: Galileo believed only circular (not straight line) motion is conserved (perpetual), see The New Birth of Physics (1960)
• On the authority of Aristotle... motion in the planetary world was somehow directed by the more perfect motion in higher spheres, and so on, up to the outermost sphere of fixed stars, indistinguishable from the prime mover. This implied a refined animistic and pantheistic world view, incomparably more rational than the ancient world views of Babylonians and Egyptians, among others, but a world view, nonetheless, hardly compatible with the idea of "inertial motion" which is implied in Buridan's concept of "impetus"… a momentous breaking point... which was to bear fruit... in the hands, first of Copernicus and then of Newton.
• Julio A. Gonzalo, The Intelligible Universe: An Overview of the Last Thirteen Billion Years (2008) 2nd edn
• J. Kepler was the first (that I know of) that discover'd the true cause of the Tide, and he explains it largely in his Introduction to the Physics of the Heavens, given in his Commentaries to the Motion of the Planet Mars, where after he has shewn the Gravity or Gravitation of all Bodies towards another, he thus writes: "The Orb of the attracting Power, which is in the Moon is extended as far as the Earth, and draws the Waters under the Torrid Zone, acting upon places where it is vertical, insensibly on included Seas, but sensibly on the Ocean, whose Beds are large, and the Waters have the liberty of reciprocation, that is, of rising and falling"; and in the 70th Page of his Lunar Astronomy,—"But the cause of the Tides of the Sea appear to be the Bodies of the Sun and Moon drawing the Waters of the Sea."
• David Gregory, The Elements of Astronomy, Physical and Geometrical J. Nicholson (1715) Vol.2 p. 668

### H

• To reassert the reign of beauty, Copernicus goes back to what he had once called "the first principles of uniform motion." He rejects non-uniformities and inconsistancies of motion - his "mind shudders" at the very consideration of them - and even at the cost of setting the earth in motion, he arrives at a system that has all the earmarks of divine handicraft; the equants are gone, the phenomena are saved; the whole system has symmetry, parsimony, necessity. ...
The device of uniform motion in a circle was not forced by the data; and as Kepler's ellipses showed later, it was not even the most functional device from the mathematical point of view. Yet the metaphor of uniform circular motion as the divine key... - even as in antiquity - had infected the thinking from which the scientific revolution of the seventeenth century came. ...the function of a metaphor ..."can be a restructuring of the world," in the words of Sir Ernst Gombrich.
• Gerald Holton, The Advancement of Science, and Its Burdens (1986) pp. 231-232, quoting Ernst Gombrich, Symbolic Images: Studies in the Art of the Renaissance (1972) p. 166.
• The Portuguese had undertaken their voyages towards the southern hemisphere in spite of the science of their day... they followed an irresistible urge, which went against their scientific and religious convictions.
• Our thesis now is that the Portuguese seafarers and scientists of the 15th and 16th centuries made an important contribution to the rise of modern science by unintentionally undermining the belief in scientific authorities and by strengthening the confidence in an empirical, natural, historical method.
• Reijer Hooykaas, "The Portuguese Discoveries and the Rise of Modern Science" in Selected Studies in History of Science (1983)
• Perhaps there is no literature in Europe that mirrors so clearly as the Portuguese, the painful conflict in the minds of people who, on the one hand, by their humanistic education, not only knew better but also more uncritically admired, ancient learning than their medieval predecessors, and, who, on the other hand, in the same epoch, were confronted with abundant proofs of the insufficiency and fallibility of that same Antiquity.
• Reijer Hooykaas, "The Portuguese Discoveries and the Rise of Modern Science" in Selected Studies in History of Science (1983)
• In the early decades of the seventeenth century, the men of the Renaissance could show that they had already put out to good interest the treasure bequeathed to them by the Greeks. They had produced the astronomical system of Copernicus, with Kepler's great additions; the astronomical discoveries and the physical investigations of Galileo; the mechanics of Stevinus and the 'De Magnete' of Gilbert; the anatomy of the great French and Italian schools and the physiology of Harvey. In Italy, which had succeeded Greece in the hegemony of the scientific world, the Accademia dei Lyncei and sundry other such associations for the investigation of nature, the models of all subsequent academies and scientific societies, had been founded; while the literary skill and biting wit of Galileo had made the great scientific questions of the day not only intelligible, but attractive to the general public.
• Sixty years after Bacon's death Newton had crowned the long labors of the astronomers and the physicists, by coordinating the phenomena of molar motion throughout the visible universe into one vast system, but the 'Principia' helped no man to either wealth or comfort. Descartes, Newton, and Leibnitz had opened up new worlds to the mathematician, but the acquisitions of their genius enriched only man's ideal estate. Descartes had laid the foundations of rational cosmogony and of physiological psychology; Boyle had produced models of experimentation in various branches of physics and chemistry; Pascal and Torricelli had weighed the air; Malpighi and Grew, Ray and Willoughby had done work of no less importance in the biological sciences; but weaving and spinning were carried on with the old appliances; nobody could travel faster by sea or by land than at any previous time in the world's history, and King George could send a message from London to York no faster than King John might have done. Metals were worked from their ores by immemorial rule of thumb, and the centre of the iron trade of these islands was still among the oak forests of Sussex. The utmost skill of our mechanicians did not get beyond the production of a coarse watch.

### I-J

• Science... has ended by utterly repudiating the personal point of view. She catalogues her elements and records her laws indifferent as to what purpose may be shown forth by them, and constructs her theories quite careless of their bearing on human anxieties and fates. Though the scientist may individually nourish a religion, and be a theist in his irresponsible hours, the days are over when it could be said that for Science herself the heavens declare the glory of God and the firmament showeth his handiwork. Our solar system, with its harmonies, is seen now as but one passing case of a certain sort of moving equilibrium in the heavens, realized by a local accident in an appalling wilderness of worlds where no life can exist. In a span of time which as a cosmic interval will count but as an hour, it will have ceased to be. The Darwinian notion of chance production, and subsequent destruction, speedy or deferred, applies to the largest as well as to the smallest facts. It is impossible, in the present temper of the scientific imagination, to find in the driftings of the cosmic atoms, whether they work on the universal or on the particular scale, anything but a kind of aimless weather, doing and undoing, achieving no proper history, and leaving no result. Nature has no one distinguishable ultimate tendency with which it is possible to feel a sympathy. In the vast rhythm of her processes... she appears to cancel herself. The books of natural theology which satisfied the intellects of our grandfathers seem to us quite grotesque, representing, as they did, a God who conformed the largest things of nature to the paltriest of our private wants. The God whom science recognizes must be a God of universal laws exclusively, a God who does a wholesale, not a retail business. He cannot accommodate his processes to the convenience of individuals. The bubbles on the foam which coats a stormy sea are floating episodes, made and unmade by the forces of the wind and water. Our private selves are like those bubbles—epiphenomena, as Clifford, I believe, ingeniously called them; their destinies weigh nothing and determine nothing in the world's irremediable currents of events.
• William James, The Varieties of Religious Experience Lecture XX, "Conclusions" (1902)

### K

• When Galilei let balls of a particular weight, which he had determined himself, roll down an inclined plain, or Torricelli made the air carry a weight, which he had previously determined to be equal to that of a definite volume of water; or when, in later times, Stahl changed metal into lime, and lime again into metals, by withdrawing and restoring something, a new light flashed on all students of nature. They comprehended that reason has insight into that only, which she herself produces on her own plan, and that she must move forward with the principles of her judgments, according to fixed law, and compel nature to answer her questions, but not let herself be led by nature, as it were in leading strings, because otherwise accidental observations made on no previously fixed plan, will never converge towards a necessary law, which is the only thing that reason seeks and requires. Reason, holding in one hand its principles, according to which concordant phenomena alone can be admitted as laws of nature, and in the other hand the experiment, which it has devised according to those principles, must approach nature, in order to be taught by it: but not in the character of a pupil, who agrees to everything the master likes, but as an appointed judge, who compels the witnesses to answer the questions which he himself proposes. Therefore even the science of physics entirely owes the beneficial revolution in its character to the happy thought, that we ought to seek in nature (and not import into it by means of fiction) whatever reason must learn from nature, and could not know by itself, and that we must do this in accordance with what reason itself has originally placed into nature. Thus only has the study of nature entered on the secure method of a science, after having for many centuries done nothing but grope in the dark.
• Galileo had provided the methodology for the analysis of motions on and near the earth and had applied it successfully. Copernicus and Kepler had previously obtained the laws of motion of the planets and their satellites. ...But Galileo had succeeded in deriving numerous laws from a few physical principles and... the axioms and theorems of mathematics. ...The Keplerian laws ...were not logically related to each other. Each was an independent inference from observations. ...They seemed to be suspended in the same vacuum in which the planets moved.
Galileo's laws had the additional advantage of supplying physical insight. The first law of motion and the law that the force of graviation gives... a downward acceleration of 32 ft/sec2... explain the vertrical rise and fall of bodies, motion on slopes, and projectile motion. Kepler's laws... had no physical basis. ...Kepler tried to introduce the idea of a magnetic force which the sun exerted... But he failed to related the behavior of the planets to the precise laws of planetary motion. ...
The new astronomical theory was completely isolated from the theory of motion on earth. ...it bothered mathematicians and scientists who believed that all the phenomena of the universe were governed by one master plan instituted by the master planner—God.
• The goal of deriving all the phenomena of nature from a few basic physical laws and the axioms of mathematics had been set by Galileo...
In studying curvilinear motions on the earth Galileo had found the parabola to be the basic curve. In the heavens... Kepler... had found the ellipse to be the basic curve. Why this difference? ...since parabola and ellipse are both conic sections there was the provocative suggestion that perhaps some physical law unified these related paths of motion. ...
It has often happened in the history of mathematics and science that major problems remained outstanding... great minds... succeeded only in revealing the true difficulties... and in generating an atmosphere of dispair... Then a genius appeared... with ideas that seemed remarkably simple once propounded, clarified the entire situation, dispelled the confusion, restored order, and produced a new synthesis that embraced far more even than the phenomena under consideration. The genius who... picked up the torch of science dropped by Galileo, was Isaac Newton.
• I shall try to sum up the main obstacles which arrested the progress of science for such an immeasurable time. The first was the splitting of the world into two spheres, and the mental split which resulted from it. The second was the geocentric dogma, the blind eye turned on the promising line of thought which had started with the Pythagoreans and stopped abruptly with Aristarchus of Samos. The third was the dogma of uniform motion in perfect circles. The fourth was the divorcement of science from mathematics. The fifth was the inability to realize that a body at rest tended to stay at rest, a body in motion tended to stay in motion. The main achievement of the first part of the scientific revolution was the removal of these five cardinal obstacles. This was done chiefly by three men: Copernicus, Kepler and Galileo. After that, the road was open to the Newtonian synthesis; from there on the journey led with rapidly gaining speed to the atomic age.
• The uomo universale of the Renaissance, who was artist and craftsman, philosopher and inventor, humanist and scientist, astronomer and monk, all in one, split up into his component parts. Art lost its mythical, science its mystical inspiration; man became again deaf to the harmony of the spheres. The Philosophy of Nature became ethically neutral, and "blind" became the favourite adjective for the working of natural law. The space-spirit hierarchy was replaced by the space-time continuum. ...man's destiny was no longer determined from "above" by a super-human wisdom and will, but from "below" by the sub-human agencies of glands, genes, atoms, or waves of probability. ...they could determine his fate, but could provide him with no moral guidance, no values and meaning. A puppet of the Gods is a tragic figure, a puppet suspended on his chromosomes is merely grotesque.
• Arthur Koestler, The Sleepwalkers: A History of Man's Changing Vision of the Universe Epilogue (1959, 1963)
• What the founders of modern science … had to do, was not criticize and to combat certain faulty theories, and to correct or to replace them by better ones. They had to do something quite different. They had to destroy one world and replace it by another. They had to reshape the framework of our intellect itself, to restate and to reform its concepts, to evolve a new approach to Being, a new concept of knowledge, and a new concept of science — and even to replace a pretty natural approach, that of common sense, by another which is not natural at all.
• Alexandre Koyré, "Galileo to Plato" in the Journal of the History of Ideas (1957)
• The infinite Universe of the New Cosmology, infinite in Duration as well as Extension, in which eternal matter in accordance with eternal and necessary laws moves endlessly and aimlessly in eternal space, inherited all the ontological attributes of Divinity. Yet only those — all the others the departed God took with him... The Divine Artifex had therefore less and less to do in the world. He did not even have to conserve it, as the world, more and more, became able to dispense with this service...
• There is something for which Newton — or better to say not Newton alone, but modern science in general — can still be made responsible: it is splitting of our world in two. I have been saying that modern science broke down the barriers that separated the heavens and the earth, and that it united and unified the universe. And that is true. But, as I have said, too, it did this by substituting for our world of quality and sense perception, the world in which we live, and love, and die, another world — the world of quantity, or reified geometry, a world in which, though there is place for everything, there is no place for man. Thus the world of science — the real world — became estranged and utterly divorced from the world of life, which science has been unable to explain — not even to explain away by calling it "subjective".

### L

• Here, then: a revolution [in science and chemistry] has taken place in an important part of human knowledge since your departure from Europe... I will consider this revolution to be well advanced and even completely accomplished if you range yourself with us. ...After having brought you up to date on what is happening in chemistry, it would be well to speak to you about our political revolution. We regard it as done and without any possibility of return to the old order.

### M

• He [ Kepler ] supposes, in that treatise [epitome of astronomy], that the motion of the sun on his axis is preserved by some inherent vital principle; that a certain virtue, or immaterial image of the sun, is diffused with his rays into the ambient spaces, and, revolving with the body of the sun on his axis, takes hold of the planets and carries them along with it in the same direction; as a load-stone turned round in the neighborhood of a magnetic needle makes it turn round at the same time. The planet, according to him, by its inertia endeavors to continue in its place, and the action of the sun's image and this inertia are in a perpetual struggle. He adds, that this action of the sun, like to his light, decreases as the distance increases; and therefore moves the same planet with greater celerity when nearer the sun, than at a greater distance. To account for the planet's approaching towards the sun as it descends from the aphelium to the perihelium, and receding from the sun while it ascends to the aphelium again, he supposes that the sun attracts one part of each planet, and repels the opposite part; and that the part which is attracted is turned towards the sun in the descent, and that the other part is towards the sun in the ascent. By suppositions of this kind he endeavored to account for all the other varieties of the celestial motions.
• In the opinion of one of the most eminent modem naturalists, it was Boyle who opened up those chemical inquiries, which went on accumulating until, a century later, they supplied the means by which Lavoisier and his contemporaries fixed the real basis of chemistry, and enabled it for the first time to take its proper stand among those sciences that deal with the external world.
• James Henry Monk, The Life of Richard Bentley, D.D.: Master of Trinity College (1833) Vol.1

### N-R

• We offer this work as mathematical principles of philosophy; for all the difficulty of philosophy seems to consist in this—from the phænomena of motions to investigate the forces of nature, and then from these forces to demonstrate the other phænomena; and to this end the general propositions in the first and second book are directed. In the third book we give an example of this in the explication of the System of the World; for by the propositions mathematically demonstrated in the first book, we there derive from the celestial phænomena the forces of gravity with which bodies tend to the sun and the several planets. Then from these forces, by other propositions which are also mathematical, we deduce the motions of the planets, the comets, the moon, and the sea.
• The researches of Galileo, followed up by Huygens and others, led to those modern conceptions of Force and Law, which have revolutionized the intellectual world. The great attention given to mechanics in the seventeenth century soon so emphasized these conceptions as to give rise to the Mechanical Philosophy, a doctrine that all the phenomena of the physical universe are to be explained upon mechanical principles. Newton's great discovery imparted a new impetus to this tendency. The old notion that heat consists in an agitation of corpuscles was now applied as an explanation to the chief properties of gases. The first suggestion in this direction was that the pressure of gases is explained by the battering of the particles against the walls of the containing vessel, which explained Boyle's law of the compressibility of air. Later, the expansion of gases, Avogadro's chemical law, the diffusion and viscosity of gases, and the action of Crooke's radiometer were shown to be consequences of the same kinetical theory; but other phenomena, such as the ratio of the specific heat at constant volume to that at constant pressure, require additional hypotheses, which we have little reason to suppose are simple, so that we find ourselves quite afloat. In like manner with regard to light...
• 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.
• Lucio Russo, "The Erasure of Ancient Science" in The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn (2004)

### S

• Not only can any given theory be proven wrong... sooner or later it probably will be. And when it is, the occasion will mark the success of science, not its failure. This was the pivotal insight of the Scientific Revolution: that the advancement of knowledge depends on current theories collapsing in the face of new insights and discoveries. In this model of progress, errors do not lead us away from truth. Instead, they edge us incrementally toward it.
• This is another important dispute in the history of how we think about being wrong: whether error represents an obstacle in the path toward truth, or the path itself. The former idea is a conventional one. The latter... emerged during the Scientific Revolution and continued to evolve throughout the Enlightenment. But it didn't really reach its zenith until the early nineteenth century, when... Pierre Simon Laplace refined the distribution of errors, illustrated by the now-familiar bell curve. ...Laplace used the bell curve to determine the precise orbit of the planets. ...By using the normal distribution to graph... individually imperfect data points, Laplace was able to generate a far more precise picture of the galaxy. ...aggregate enough flawed data, and you get a glimpse of the truth.
• Newton proposed that the particles of the air (we would call them molecules), were motionless in space and were held apart by repulsive forces between them... He assumed that the repulsive force was inversely proportional to the distance between the particles...He showed that, on the basis of this assumption, a collection of static particles in a box would behave exactly as Boyle had found. His model led directly to Boyle's law. Probably the greatest scientist ever, Newton managed to get the right answer from a model that was wrong in every possible way.
• Brian L. Silver, The Ascent of Science (1998)
• The Hon. Robert Boyle... in the third volume of the folio edition of his work, is a paper having the following title, "That the Goods of Mankind may be much Increased by the Naturalist's Insight into Trades." This paper contains... the first attempt at a philosophical recognition of the value and importance of the industrial arts of mankind. In it we recognise the early effort of a man of science seeking to call the attention of the learned and great of his time to what he aptly denominates the Natural History of Trades. ...He contends that the benefit accruing from such an inquiry would be mutual, both to the learned in natural knowledge, and to the skilled in industrial art.
• The founders of modern science - for instance, Galileo, Kepler, and Newton - were mostly pious men who did not doubt God’s purposes. Nevertheless they took the revolutionary step of consciously and deliberately expelling the idea of purpose as controlling nature from their new science of nature. They did this on the ground that inquiry into purposes is useless for what science aims at: namely, the prediction and control of events. To predict an eclipse, what you have to know is not its purpose but its causes. Hence science from the seventeenth century onwards became exclusively an inquiry into causes. The conception of purpose in the world was ignored and frowned on. This, though silent and almost unnoticed, was the greatest revolution in human history, far outweighing in importance any of the political revolutions whose thunder has reverberated through the world.

### T-Z

• By analyzing the measurements of Tycho Brahe, Johannes Kepler established that planetary motions weren't circles but ellipses... Through his telescopes, Galileo saw that the Sun had its perfection tarnished by ugly black spots. And the Moon wasn't a perfect sphere but looked like a place, complete with mountains and giant craters. So why didn't it fall down?
Isaac Newton finally answered... by exploring... [a radical] idea... that heavenly objects obey the same laws as objects here on Earth. ...Newton ...realized that ...the fate of a horizontally fired cannon ball depends on its speed: it crashes to the ground only if its speed is below some magic value. ...[W]ith ever higher speeds, they'll travel farther ...before landing ...until ...they keep their height over the ground ...constant and never land, merely orbiting ...just like the Moon! Since he knew the strength of gravity near the Earth's surface... he was able to calculate the magic speed... 7.9 kilometers per second. Assuming the Moon... was obeying the same laws... he could similarly predict what speed it needed... Moreover, since the Moon took one month to travel around a circle whose circumference Aristarchos had figured out, Newton already knew its speed... Now he made a remarkable discovery: if he assumed that the force of gravity weakened like the inverse square... then this magical speed that would give the Moon a circular orbit exactly matched its measured speed! He had discovered the law of gravity... applying not merely here on Earth, but in the heavens as well. ...People boldly extrapolated not only to the macrocosmos... but also to the microcosmos, finding that many properties... could be explained by applying Newton's laws of motion to... atoms... The scientific revolution had begun.
• Max Tegmark, Our Mathematical Universe (2014) pp. 36-38.
• Newton did not show the cause of the apple falling, but he shewed a similitude between the apple and the stars. By doing so he turned old facts into new knowledge; and was well content if he could bring diverse phenomenon under "two or three Principles of Motion" even "though the Causes of these Principles were not yet discovered."
• Gilbert, in his work, De Magnete printed in 1600 has only some vague notions that the magnetic virtue of the earth in some way determines the direction of the earth's axis, the rate of its diurnal rotation, and that of the revolution of the moon about it. Gilbert died in 1603, and in his posthumous work (De Mundo nostro Sublunari Philosophia nova, 1631) we have already a more distinct statement of the attraction of one body by another. "The force which emanates from the moon reaches to the earth, and, in like manner, the magnetic virtue of the earth pervades the region of the moon: both correspond and conspire by the joint action of both, according to a proportion and conformity of motions, but the earth has more effect in consequence of its superior mass; the earth attracts and repels, the moon, and the moon within certain limits, the earth; not so as to make the bodies come together, as magnetic bodies do, but so that they may go on in a continuous course." Though this phraseology is capable of representing a good deal of the truth, it does not appear to have been connected... with any very definite notions of mechanical action in detail.
• 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.
• The main importance of Francis Bacon’s influence does not lie in any peculiar theory of inductive reasoning which he happened to express, but in the revolt against second-hand information of which he was a leader.
• During the Middle Ages the universe was regarded as finite, with the earth at its centre. The idea was abandoned during the Scientific Renaissance, and the universe came to be pictured as an indefinitely large number of stars scattered throughout infinite Euclidean space. This conception appeared to be a necessary consequence of the theory of gravitation; for, as Newton pointed out, a finite material universe in infinite space would tend to concentrate in one massive lump.
• The Propositions that are insisted on in this Discourse.
PROP. I. That the seeming Novelty and Singularity of this Opinion, can be no sufficient Reason to prove it Erroneus.
PROP. II. That the places of Scripture, which seem to intimate the Diurnal Motion of the Sun, or Heavens, are fairly capable of another interpretation.
PROP. III. That the Holy Ghost, in many places of Scripture, does plainly conform his Expressions to the Error of our Conceits, and does not speak of sundry things as they are in themselves, but as they appear unto us.
PROP. IV. That divers learned Men have fallen into great Absurdities, whilst they have looked for the Grounds of Philosophy from the Words of Scripture.
PROP. V. That the words of Scripture, in their proper and strict construction, do not any where affirm the Immobility of the Earth.
PROP. VI. That there is not any Argument from the words of Scripture, Principles of Nature, or Observations in Astronomy, which can sufficiently evidence the Earth to be in the Centre of the Universe.
PROP. VII. 'Tis probable that the Sun is the Centre of the World.
PROP. VIII. That there is not any sufficient reason to prove the Earth incapable of those Motions which Copernicus ascribes unto it.
PROP. IX. That it is more probable that the Earth does move, than the Heavens.
PROP. X. That this Hypothesis is exactly agreeable to common Appearances.
• 'Tis in Philosophy, and that is made up of nothing else; but receives addition from every days experiment. True indeed, for Divinity we have an infallible rule that do's plainly inform us of all necessary Truths; and therefore the Primitive Times are of greater Authority, because they were nearer to those holy Men who were the Pen-Men of Scripture. But now for Philosophy, there is no such reason: What ever the School Men may talk; yet Aristotles works are not necessarily true, and he himself hath by sufficient Arguments proved himself to be liable unto errour. Now in this case, if we should speak properly, Antiquity do's consist in the old age of the World, not in the youth of it. In such Learning as may be increased by fresh experiments and new discoveries: 'Tis we are the Fathers, and of more Authority than former Ages; because we have the advantage of more time than they had, and Truth (we say) is the Daughter of Time.