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April 10, 2026
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"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."
"Newton's proof of the law of refraction is based on an erroneous notion that light travels faster in glass than in air, the same error that Descartes had made. This error stems from the fact that both of them thought that light was corpuscular in nature."
"John Philoponus (c. 490-570) of Alexandria... refuted Aristotle's theory that the velocities of falling bodies in a given medium are proportional to their weight, making the observation that "if one lets fall simultaneously from the same height two bodies differing greatly in weight, one will find that the ratio of the times of their motion does not correspond to the ratios of their weights, but the difference in time is a very small one." …He also criticized Aristotle's antiperistasis theory of projectile motion, which states that the air displaced by the object flows back to push it from behind. Instead Philoponus concluded that "some incorporeal kinetic power is imparted by the thrower to the object thrown" and that "if an arrow or a stone is projected by force in a void, the same will happen much more easily, nothing being necessary except the thrower." This is the famous "impetus theory," which was revived in medieval Islam and again in fourteenth century Europe, giving rise to the beginning of modern dynamics."
"By this lux as the first corporeal form Grosseteste did not, of course, mean simply visible light. As an emanation or propagation of substance and power lux was the basis of all bodily magnitude and of all natural operations, of which the manifestation of visible light was only one. One of the most important functions of lux was to be the intermediary between spirit and matter. It was the instrument by which God produced the macrocosm of the universe, and the instrument by which the soul made contact with the physical body and the things of sense in the microcosm of man."
"In its application to natural science Grosseteste based his method of verification and falsification on two assumptions about the nature of reality. (a) The first was the principle of the uniformity of nature, meaning that forms are always uniform in their operations. ...In support of this principle he quoted 'Aristotles II de Generat.: ...'the same cause, provided it remains in the same condition, cannot produce anything but the same effect.' (b) The second assumption Grosseteste made was that of the principle of economy, or lex parsimoniae. This he also derived from Aristotle, who stated it as a pragmatic principle."
"Grosseteste appears to have been the first medieval writer to recognize and deal with the two fundamental methodological problems of induction and experimental verification and falsification which arose when the Greek conception of geometrical demonstration was applied to the world of experience. He appears to have been the first to set out a systematic and coherent theory of experimental investigation and rational explanation by which the Greek geometrical method was turned into modern experimental science. As far as is known, he and his successors were the first to use and exemplify such a theory in the details of original research into concrete problems."
"The strategic act by which Grosseteste and his thirteenth- and fourteenth-century successors created modern experimental science was to unite the experimental habit of the practical arts with the rationalism of twelfth-century philosophy."
"Grosseteste's contribution was to emphasize the importance of falsification in the search for true causes and to develop the method of verification and falsification into a systematic method of experimental procedure."
"Newton achieved the clearest appreciation of the relation between the empirical elements in a scientific system and the hypothetical elements derived from a philosophy of nature."
"To understand events as experienced by actual men and institutions we must be concerned with the history of errors and false starts as well as successes-although we make this distinction on the basis of what we now know of the tradition of success. As we go back in time the uncertainty of the outlook and of the objectives of scientific inquiries increases. The essence of the scientific movement is research. The answers to the essential question, what to do in scientific research-what questions to put to nature, by what methods to get answers, what to count as satisfactory answers-became clear only by the accumulation of successes and the marking of failures."
"Nicolaus Copernicus is the supreme example of a man who revolutionized science by looking at the old facts in a new way."
"Proud of being the first American to receive a doctorate expressly in the history of science (as opposed to writing a thesis for a history department), I Bernard Cohen went on to lead the professionalization of the discipline and to establish a flagship history of science department at Harvard."
"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."
"Opticks was out of harmony with the ideas of 19th-century physics. ...an exposition of the "wrong" (i.e., corpuscular) theory of light,—even though it also contained many of the basic principles of the "correct" (i.e., wave) theory. Not only had Newton erred in his choice... but also he apparently had found no insuperable difficulty in simultaneously embracing features of two opposing theories. ...by adopting a combination of the two theories at once, he had violated one of the major canons of 19th-century physics... Today our point of view is influenced by the theory of photons and matter waves, or the... complementarity of Niels Bohr; and we may read with a new interest Newtons ideas on the interaction of light and matter or his explanation of the corpuscular and undulatory aspects of light."
"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."
"By contrast, Galileo, the other legendary scientific figure of the era, not only published the most compelling critique of Aristotelian scholasticism in his Dialogues on the Two Chief World Systems, but in the process turned the issue of the epistemic authority of theology versus the epistemic authority of empirical science into a hallmark of modern times. Although Newton clearly sympathized with Galileo, he wrote virtually nothing critical of the Aristotelian tradition in philosophy, and the immense effort he devoted to theology was aimed not at challenging its epistemic authority, but largely at putting it on a firmer footing. Newton made no direct contributions to philosophy of a similar magnitude. Indeed, from his extant writings alone Newton has more claim to being a major theologian than a major philosopher."
"Isaac Newton deserves to be included in a series of companions to major philosophers even though he was not a philosopher in the sense in which Descartes, Locke, and Kant were philosophers. That is, Newton made no direct contributions to epistemology or metaphysics that would warrant his inclusion in the standard list of major philosophers of the seventeenth and eighteenth centuries – Descartes, Spinoza, Locke, Leibniz, Berkeley, Hume, and Kant – or even in a list of other significant philosophers of the era – Bacon, Hobbes, Arnauld, Malebranche, Wolff, and Reid. The contributions to knowledge that made Newton a dominant figure of the last millennium were to science, not to philosophy."
"Robert Grosseteste … was born at the decisive moment when Greek and Arabic science became accessible in Latin versions."
"Carl B. Boyer … is more or less the Gibbon of math history."
"Fermat had recourse to the principle of the economy of nature. Heron and Olympiodorus had pointed out in antiquity that, in reflection, light followed the shortest possible path, thus accounting for the equality of angles. During the medieval period Alhazen and Grosseteste had suggested that in refraction some such principle was also operating, but they could not discover the law. Fermat, however, not only knew (through Descartes) the law of refraction, but he also invented a procedure—equivalent to the differential calculus—for maximizing and minimizing a function of a single variable. … Fermat applied his method … and discovered, to his delight, that the result led to precisely the law which Descartes had enunciated. But although the law is the same, it will be noted that the hypothesis contradicts that of Descartes. Fermat assumed that the speed of light in water to be less than that in air; Descartes' explanation implied the opposite."
"Descartes maintained his confidence in the instantaneity of light. … Yet in his derivation of the law of refraction, Descartes reasoned that light travelled faster in a dense medium than in one less dense. He seems to have had no qualms about comparing infinite magnitudes!"
"Robert [Grosseteste] became much interested in science and scientific method … He was conscious of the dual approach by means of induction and deduction (resolution and composition); i.e., from the empirical knowledge one proceeds to probable general principles, and from these as premises one them derives conclusions which constitute verifications or falsifications of the principles. This approach to science was not that far removed from Aristotle ..."
"Ptolemy left in his Optics, the earliest surviving table of angles of refraction from air to water. … This table, quoted and requoted until modern times, has been admired … A closer glance at it, however, suggests that there was less experimentation involved in it than originally was thought, for the values of the angles of refraction form an arithmetic progression of second order … As in other portions of Greek Science, confidence in mathematics was here greater than that in the evidence of the senses, although the value corresponding to 60° agrees remarkably well with experience."
"In ancient classical literature the rainbow sometimes was deified as Iris; at other times it was regarded merely as the route traversed by the messenger of Hera. The conception of the rainbow as a pathway or bridge has been widespread. For some it has been the best of all bridges, built out of three colors; for others the phrase "building on the rainbow" has meant a bootless enterprise. North American Indians were among those who thought of the rainbow as the Pathway of Souls, an interpretation found in many other places. Among the Japanese the rainbow is identified as the "Floating Bridge of Heaven"; and Hawaiian and Polynesian myths allude to the bow as the path to the upper world. In the Austrian Alps the souls of the righteous are said to ascend the bow to heaven; and in New Zealand the dead chieftains are believed to pass along it to reach their new home. In parts of France the rainbow is called the pont du St. Esprit, and in many places it is the bridge of St. Bernard or of St. Martin or of St. Peter. Basque pilgrims knew it as the 'puente de Roma'. Sometimes it is called instead the Croy de St. Denis (or of St. Leonard or of St. Bernard or of St. Martin). In Italy the name arcu de Santa Marina is relatively familiar. Associations of the rainbow and the milky way are frequent. The Arabic name for the milky way is equivalent to Gate of Heaven, and in Russia the analogous role was played by the rainbow. Elsewhere also the bow has been called the Gate of Paradise; and by some the rainbow has been thought to be a ray of light which falls on the earth when Peter opens the heavenly gate. In parts of France the rainbow is known as the porte de St. Jacques, while the milky way is called chemin de St. Jacques. In Swabia and Bavaria saints pass by the rainbow from heaven to earth; while in Polynesia this is the route of the gods themselves. In Eddic literature the bow served as a link between the gods and man — the Bifrost bridge, guarded by Heimdel, over which the gods passed daily. At the time of the Gotterdamerung the sons of Muspell will cross the bridge and then demolish it. Sometimes also in the Eddas the rainbow is interpreted as a necklace worn by Freyja, the "necklace of the Brisings," alluded to in Beowulf; again it is the bow of Thor from which he shoots arrows at evil spirits. Among the Finns it has been an arc which hurls arrows of fire, in Mozambique it is the arm of a conquering god. In the Japanese Ko-Ji-Ki (or Records of Ancient Matters), compiled presumably in 712, the creation of the island of Onogoro is related to the rainbow. Deities, standing upon the "floating bridge of heaven," thrust down a jeweled spear into the brine and stirred with it. When the spear was withdrawn, the brine that dripped down from the end was piled up in the form of the island. In myth and legend the rainbow has been regarded variously as a harbinger of misfortune and as a sign of good luck. Some have held it to be a bad sign if the feet of the bow rest on water, whereas a rainbow arching from dry land to dry land is a good augury. Dreambooks held that when one dreams of seeing a rainbow, he will give or receive a gift according as the bow is seen in the west or the east. The Crown-prince Frederick August took it as a good omen when, upon his receiving the kingdom form Napoleon in 1806, a rainbow appeared; but others interpreted it as boding ill, a view confirmed by the war and destruction of Saxony which ensued. By many, a rainbow appearing at the birth of a child is taken to be a favorable sign; but in Slavonic accounts a glance from the fay who sits at the foot of the rainbow, combing herself, brings death."
"A Hebrew belief asserted that if Yahweh lays aside his bow and hangs it in the clouds, this is a sign that his anger has subsided. Other peoples have had similar ideas, based upon the tradition that an archer carries his bow with the ends pointing downward when he wishes to indicate his peaceful intentions."
"It should be mentioned also that the Hindus, unlike the Greeks, regarded irrational roots of numbers as numbers. This was of enormous help in algebra, and Indian mathematicians have been much praised for taking this step; but one must remember that the Hindu contribution in this case was the result of logical innocence rather than of mathematical insight. We have seen the lack of nice distinction on the part of Hindu mathematicians between exact and inexact results, and it was only natural that they should not have taken seriously the difference between commensurable and incommensurable magnitudes. For them there was no impediment to the acceptance of irrational numbers, and later generations followed their lead uncritically until in the nineteenth century mathematicians established the real number system on a sound basis."
"But what, after all, are the integers? Everyone thinks that he or she knows, for example, what the number three is — until he or she tries to define or explain it."
"The Introductio does not boast an impressive number of editions, yet its influence was pervasive. In originality and in the richness of its scope it ranks among the greatest of textbooks; but it is outstanding also for clarity of exposition. Published two hundred and two years ago, it nevertheless possesses a remarkable modernity of terminology and notation, as well as of viewpoint. Imitation is indeed the sincerest form of flattery."
"Sometimes I fear that, if Harvard does not give up trying to turn itself from an Institution of Learning into an Educational Institution, we may have a generation of professors whose duty it will be to disseminate information which they have not the time to acquire."
"The key role in creation of the origin myth of psychology as a “laboratory science” belongs to Edwin Boring (1929)."
"In his approach to the history of psychology, E. G. Boring (1886–1968) stressed the importance of the Zeitgeist in determining whether, or to what extent, an idea or viewpoint will be accepted. Clearly, ideas do not occur in a vacuum. A new idea, to be accepted or even considered, must be compatible with existing ideas. In other words, a new idea will be tolerated only if it arises within an environment that can assimilate it."
"Once Boring was invited to dinner at Titchener’s to celebrate Titchener’s birthday. After dinner the cigars were passed and Boring could not refuse under the circumstances, though he had never smoked a cigar. The consequence was that he had to excuse himself presently because of his nausea and go outside to throw up. Still, the honor of having been invited once was so great that every year thereafter Titchener’s birthday would be celebrated by dinner at the Boring home, followed by the smoking of a cigar, with the inevitable consequence."
"Proponents of the cyclical view of history will find in the 1920s poignant parallels with contemporary controversies between "pure" and "applied" psychologists. During that decade no advocate of the ideal of pure research was more embroiled professionally in the bitter debates surrounding that issue than E. G. Boring. While preoccupied with the practicalist challenge, Boring was also at work on his prodigious History of Experimental Psychology."
"Fechner laid down the general outlines of his program [psychophysics] in ZendAvesta, the book about heaven and the future life. Imagine sending a graduate student of psychology nowadays to the Divinity School for a course in immortality as preparation for advanced experimental work in psychophysics! How narrow we have become!"
"Scientific truth, like puristic truth, must come about by controversy. Personally this view is abhorrent to me. It seems to mean that scientific truth must transcend the individual, that the best hope of science lies in its greatest minds being often brilliantly and determinedly wrong, but in opposition, with some third, eclectically minded, middle-of-the-road nonentity seizing the prize while the great fight for it, running off with it, and sticking it into a textbook for sophomores written from no point of view and in defense of nothing whatsoever. I hate this view, for it is not dramatic and it is not fair; and yet I believe that it is the verdict of the history of science."
"[ Titchener ] always seemed to me the nearest approach to genius of anyone with whom I have been closely associated.… He was competent with languages, and could ad lib in Latin when the occasion required it. If you had mushrooms, he would tell you at once how they should be cooked. If you were buying oak for a new floor, he would at once come forward with all the advantages of ash. If you were engaged to be married, he would have his certain and insistent advice about the most unexpected aspects of your problems, and if you were honeymooning, he would write to remind you, as he did me, on what day you ought to be back at work."
"The historical approach to understanding of scientific fact is what differentiates the scholar in science from the mere experimenter."
"Introspection with inference and meaning left out as much as possible becomes a dull taxonomic account of sensory events which, since they suggest almost no functional value for the organism, are peculiarly uninteresting to the American scientific temper."
"Introspectionism got its ism because the protesting new schools needed a clear and stable contrasting background against which to exhibit their novel features. No proponent of introspection a the basic method of psychology ever called himself an introspectionist."
"It is not likely that the history of psychology can be written in the next three centuries without mention of Freud's name and still claim to be a general history of psychology... Perhaps, had Freud been smothered in his cradle, the times would have produced a substitute, It is hard to say. The dynamics of history lack control experiments."
"The gift of professional maturity comes only to the psychologist who knows the history of his science."
"[William James, in the 1890s] began that metamorphosis of German psychology which was to alter the Teutonic worm of sensory content into the American butterfly of functional reality."
"Psychologically attention is drainage, whatever it may be physiologically."
"American psychology inherited its physical body from German experimentalism, but it got its mind from Darwin."
"Titchener interest lay in the generalized, normal, adult mind that had also been Wundt's main concern."
"So far as consciousness goes, one does one's thinking before one knows what he is to think about."
"[ ] was troubled by materialism... His philosophical solution of the spiritual problem lat in his affirmation of the identity of the mind and matter and in his assurance that the entire universe can be regarded as readily from the point of view of its consciousness... as it can be viewed as inert matter."
"Leibniz foreshadowed the entire doctrine of the unconscious, but Herbart actually began it. Wundt was to appeal first to unconscious inference in order to explain perception, and then to apperception. Fechner was to take from Herbart the notion of the measurement of the magnitude..."
"Broca’s famous observation was in itself very simple. There had in 1831 been admitted at the Bicêtre, an insane hospital near Paris, a man whose sole defect seemed to be that he could not talk. He communicated intelligently by signs and was otherwise mentally normal. He remained at the Bicêtre for thirty years with this defect and on April 12, 1861, was put under the care of Broca, the surgeon, because of a gangrenous infection. Broca for five days subjected him to a careful examination, in which he satisfied himself that the musculature of the larynx and articulatory organs was not hindered in normal movements, that there was no other paralysis that could interfere with speech, and that the man was intelligent enough to speak. On April 17 the patient— fortunately, it must have seemed, for science—died; and within a day Broca had performed an autopsy, discovering a lesion in the third frontal convolution of the left cerebral hemisphere, and had presented the brain in alcohol to the Société d’Anthropologie."
"The experimental psychologist... needs historical sophistication within his own sphere of expertness. Without such knowledge he sees the present in distorted perspective, he mistakes old facts and old views for new, and he remains unable to evaluate the significance of new movements and methods. In this matter I can hardly state my faith too strongly. A psychological sophistication that contains no component of historical orientation seems to me to be no sophistication at all."