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April 10, 2026
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"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."
"Boyle entertains the hypothesis of a universal matter, the concept of atoms of different shapes and sizes, and the possibility of existence of substances that might properly be called elements... The atomic theory as originally conceived by Democritus and Epicurus, developed by Lucretius, and resurrected by Gassendi from about 1647 on, was doubtless the source from which Boyle derived his ideas, ...as he cites both Epicurus and Gassendi. Boyle, however... avoids any dogmatic assertion of these hypotheses. It is plain, however, that these atoms or "corpuscles" as he calls them are a constant element of his thought."
"The search for original cases and the "superior" rules that would emerge from them spread far outside legal practice. Wallace Donham, dean of the Harvard Business School from 1919 to 1942, was trained at the law school in the heady days of the case system's early and enthusiastic reception. Where law and business parted ways was in the contingent matter of the availability of ready- made cases â law faculty simply reached for their shelves, while professors of business needed to create a new literary species â the business case book."
"To Donham, the case study stood squarely in the legal and cultural tradition of Anglo-American thought. Unlike French or Spanish law. Donham emphasized, English law was grounded on the doctrine of stare decisis, in which the written case decisions of the past shape, and instantiate, the law. Just as the recording of cases allowed English common law to break the arbitrariness of local law. Donham argued in 1925, business needed to universalize its procedures by itself adopting the case system. The chaos of local law that ruled in England before the common law. Donham contended, "is exactly the same situation that we have [in the world of business] where practically every large corporation is tightly hound by traditions which are precedents in its particular narrow field and narrow held only The recording of decisions from industry to industry [enables] us to start from facts and draw inferences from those facts; [it] will introduce principle... in the field of business to such an extent that it will control executive action in the field where executive action is haphazard or unprincipled or bound by narrow, instead of broad precedent and decision" ( W. Donham, transcript of talk to the Association of Coll. School of Business Committee Reports and Other Literature, 5-7 May 1925. Harvard Business School, box 17, folder 10. 62)."
"In opposition to Mach and his fellow positivists, Dijksterhuis felt it to be his historian's duty to regard the advance of science as an essentially continuous affair, whereas his equally firmly held conviction that the mathematical treatment of natural phenomena constitutes the essence of scientific method almost forced him to conceive of the origins of early modern science as a decisive break with the past. The inner tension that resulted from this unresolved dilemma is palpable in Dijksterhuis' pioneering Val en worp. Yet in his magisterial The Mechanization of the World Picture, written a quarter- century later, it is present in no lesser degree, although hidden much more deeply under the surface."
"In the course of the fifteenth century, the sexagesimal division of the radius, in terms of which cords and goniometrical line-segments were expressed, was generally superseded, though not immediately replaced, by a decimal system of positional notation. Instead, mathematicians sought to avoid fractions by taking the Radius equal to a number of units of length of the form {\displaystyle 10^{n}} {\displaystyle 10^{n}}...The first to apply this method was the German astronomer Regiomontanus... the second half of the sixteenth and the first decades of the seventeenth century... observed of a gradual development of this method of Regiomontanus into a complete system of decimal positional fractions. Yet none of the steps taken by... writers is comparable in importance and scope with the progress achieved by Stevin in his De Thiende."
"The dangers inherent in the twentieth-century classifications of the âmechanisticâ are best illustrated by two important works from the early 1960s. Dijksterhuisâ classic work, The Mechanization of the World Picture, traces the history of the emergence of a concept by looking for antecedents of a modern notion of the âmechanisticâ in antiquity. His work illustrates the ways in which focus on the different senses of the term âmechanicalâ affects the questions that are considered. Taking as a given that atomism is a âmechanisticâ theory, Dijksterhuis traces the prehistory, in antiquity, of ideas contributing to what came to be called a âmechanicalâ world-view â the development of mathematical physics and corpuscular materialism â and scarcely considers the contributions made by the discipline of mechanics.6 Tellingly, he downplays the contribution of the machine analogy to the history he is writing, because of its incompatibility with atomism."
"Modern science was born in the period beginning with Copernicus's work De Revolutionibus Orbium Coelestium (1543) and ending with Newton's Philosophia Naturalis Philosophiae Mathematica."
"It is pointed out convincingly by George Sarton in The Life of Science that the development of science, as contrasted with that of art, is cumulative and progressive. Every scientist is educated in the current knowledge of his age and, making use of all he has learned, attempts to add something of his own to the existing body of knowledge. For this reason it is essentially impossible to isolate his personal achievements from the total pattern of scientific development. It follows that one cannot write the scientific life story of an isolated scholar, but only the history of the branches of science in which he participated."
"Classical mechanics is mathematical not only in the sense that it makes use of mathematical terms and methods for abbreviating arguments which might, if necessary, also be expressed in the language of everyday speech; it is so also in the much more stringent sense that its basic concepts are mathematical concepts, that mechanics itself is a mathematics."
"Dijksterhuis distinguished five crucial years in the 16th and first half of the 17th century when modern science was born (Dijksterhuis 1950, p. 431):"
"Plato makes the cosmos a living being by investing the world-body with a world-soul."
"[The mathematical character of Descartes' physics lies in its methodological nature, namely, the] axiomatic structure of the whole system, in the establishment of indubitable foundations and the deduction of the phenomena."
"Mechanics... was an axiomatic construction; and... its problem could be solved quantitatively by algebraic methods."
"Entrepreneurs are often driven by vision and they embody that vision for those who choose to join and follow them. I spend some time in my book observing entrepreneurs âpitchingâ their companies to venture capitalists, and I note how often venture capitalists view the personal characteristics of the entrepreneur as about the most certain feature of an investable project. Technologies may change; markets may change; but the energies, vision, and commitment of the entrepreneur can be as durable, and as pertinent, as anything else in the scene."
"Business is business, and scientists who work in the commercial sector are expected to contribute to profits. Yet a strong contrast between the search for profits and the search for knowledge doesnât describe industrial science very well in the early twentieth century and describes it less well today. For one thing, the distinction between knowledge and commercial goods makes less sense in the âknowledge economyâ than it once may have done. We now understand that both knowledge and durable goods may each have monetary value. For another, to say that people working in industry are driven by money may miss as much as it gets right. Scientists who want âinteresting workâ and good conditions for doing it may find these in industry, while money may be as much a sign that oneâs work has succeeded as it is a motive for doing it. Nor should one neglect aspects of altruism, even utopianism, that one can readily find among scientists and engineers working in industry, and, of course, expecting to be rewarded: some pioneers of the internet thought they might make societies more democratic and less authoritarian; many scientists working in biotech reckon their labors might cure dread diseases."
"As I indicated, there is a very pronounced tendency to identify science with whatâs done in academiaâand especially in the great research universities. But the facts suggest otherwise. At least from early in the twentieth century, the majority of American scientists were employed not by institutions of higher education but by industry and government. And that remains true today. Yet much modern commentary, especially from academic social scientists, viewed industry as a problematic environment for science. Iâm not at all sure thatâs right. If we compare, so to speak, apples with apples, and look at the pure research done in industry and that done in academia, many of the most popular contrasts describe the situation rather poorly."
"In 1680, Robert Boyle published the Second Part of his Continuation of New Experiments Physico-mechanical, Touching the Spring and Weight of the Air. ...According to Boyle's preface, the experimental work... was mainly done by a remunerated technician... Denis Papin. The air-pump with which the experiments were performed was... of Papin's own design... At least some, and perhaps the greatest part, of the design of the experimental project was also owing to the technician. ...It seems also that the technician was partly, if not mainly, responsible for the composition of the experimental narratives."
"There is a crisis of for work in our field, as in many other academic disciplines. One of its causes is a pathological form of the professionalism that we so greatly value. âHyperprofessionalismâ is a disease whose symptoms include selfâreferentiality, selfâabsorption, and a narrowing of intellectual focus. This essay describes some features and consequences of hyperprofessionalism in the history of science and offers a modest suggestion for a possible cure."
"Between 's birth in 1632 and his death, drunk and drowned, in 1676, he was, at different stages of his convoluted career, classicist and underlibrarian at the , physician to the fashionable in England and Jamaica, publicist of chocolate as a stimulant to "moderate venery," gossip tittle-tattling on the nude tub-frolics of the king's mistress, defender and explainer of 's stroking cures of , and historian of early Christianity and Islam. A prolific pamphleteer, Stubbe's writings on religion and politics were among the most pungently provocative of mid-seventeenth-century England. Historians of science encounter Stubbe mainly as the perpetrator of prose muggings of the in the early 1670s."
"Marcellin Berthelot... observed ants as a hobby. He published in 1886 under the title Science et philophie... several essays. One... "Les citĂŠs animales et leur ĂŠvolution". ...He was convinced that the same instinct of sociability was active among human races and among animal ones. He considered the hypothesis of the social contract as a chimerical one. ...Ten years later, in another collection of essays... Science et morale... [h]e considered that it is more useful to compare human societies with ant colonies than with beehives, because while in the latter laws are uniform, in the former there is a place for individual intitiatives."
"Science carries its legitimate pretensions further. To-day it claims the material, intellectual, and moral direction of society. Under its impulse modern civilisation marches with an increasingly rapid stride."
"Gentlemen, since the first half of the century that has terminated, without going further back, the world has strangely altered. The men of my generation have seen come into play, beside and above the nature known since antiquity, if not an antithesis, a counter-nature... but a superior nature, and to some extent transcendent, where the power of indÄąvidual is centupled by the transformation of forces until then unknown or not understood, borrowed from light, magnetism, and electricity."
"Thus it is that the tangible utility of scientific results has made the public authorities understand that laboratory work should be encouraged and sustained, because it is economically a benefit to all and for the public health."
"A new conception of human destiny results from a profound knowledge of the universe and the physical and moral constitution of man, directed by the fundamental notions of universal solidarity between all classes and all nations."
"Hence the rĂ´le of savants, as individuals and as a social class, has unceasingly developed in modern states. But our duties towards other men increase in the same ratio, and let it never be forgotten; let it proclaimed in this hall, in this palace of French science."
"Science is the benefactor of humanity."
"The most interesting of the services rendered by science is perhaps shown by comparing the servile and miserable condition of the popular masses in the past with their present state, already so much raised in dignity and comfort, without prejudice to the hopes which they are gradually realising."
"Is there still a statesman who doubts the services greater still that may be expected from this incessant progress?"
"According as the bonds uniting the peoples of the world together are multiplied and lightened by the progress of science and by unity of the doctrines and precepts that it deducts from facts, and imposes without violence and yet in a relentless manner to all convictions, these ideas have assumed a growing and more and more irresistible importance. They tend to become a purely human basis of nature, morality, and politics."
"It not by reason of the egoistical satisfaction of our private vanity that the world-to-day pays homage to savants. No; it is because it knows that a savant really worthy of the name devotes a disinterested life to the great work of our epochâI mean to say to the improvement, too slow, alas! for our taste, of the condition of every one, from the richest and happiest to the humble, the poor, and the suffering. That is what the public declared nine years ago in this same hall when honouring Pasteur. That is what my friend Chaplain has tried to express on the beautiful medal which the President of the Republic will presently offer me. I do not know if I have completely fulfilled noble ideal traced by the artist, but I have tried to make it object and end, the directing idea of my existence."
"[Berthelot] is not only a great chemist, but also a great philosopher. He possessed a universal spirit. His discovery of the synthesis of organic materials would be enough to immortalize his name. His work on explosive materials were also invaluable services..."
"In fact, what we are can only be attributed for a small part to our labour and personal individuality, because we owe it almost entirely to our forefathers, both of blood and mind."
"If each one of us adds something to the common weal in the domain of science, or art, or morality, the reason is because long series of generations have lived, worked, thought, and suffered before us. The science which you honour to-day has been created by the patient labours of our predecessors."
"Your sympathy makes the lamp which is on the point of being extinguished in the everlasting night shine with a final brilliancy. The respect which humanity shows to aged persons is the expression of the solidarity which unites the present generations to those which have gone before and to those which will follow."
"Chemistry is not a primitive science, like geometry or astronomy; it is constructed from the debris of a previous scientific formation; a formation half chimerical and half positive, itself founded on the treasure slowly amassed by the practical discoveries of metallurgy, medicine, industry, and domestic economy. It has to do with alchemy, which pretended to enrich its adepts by teaching them to manufacture gold and silver, to shield them from diseases by the preparation of the , and finally to obtain for them perfect felicity by identifying them with the soul of the world and the universal spirit."
"There abides in nature a certain form of matter which, being discovered and brought by art to perfection, converts to itself, proportionally, all imperfect bodies that it touches. ...It rested on the indisputable appearance of an indefinite cycle of transformations, reproducing themselves in chemical operations, without either beginning or end."
"Each one of us, whatever may have been his individual initiative, ought also to attribute a considerable portion of his success to his contemporaries who are working at the same time as himself at the great common task."
"Science... dominates all things, it alone is of any definite utility. No man, no institution shall henceforth have an enduring authority if they do not conform themselves to its precepts."
"The word truth can not be used outside of science without a misuse of terms."
"In effect, it may be declared emphatically that no one has a right to claim the exclusive merit of the brilliant discoveries of the past century. Science is essentially a collective work, prosecuted during the course of time by the efforts of a multitude of workers of every age and every nation, succeeding each other and associated in virtue of a tacit understanding for the research of truth in its purity, and for the application of this truth to the continual transformation of the condition of all men."
"Science is the real moral school; she teaches man the love and respect for the truth, without which all hope is chimerical."
"Berthelot... says that alchemy rested partly on the industrial processes of the ancient Egyptians, partly on the speculative theories of the Greek philosophers, and partly on the mystical reveries of the Gnostics and the Alexandrians."
"Gentlemen, formerly savants were looked upon as a little group of amateurs and leisured people, maintained at the expense of the labouring classes, and performing a work of luxury for the amusement and distraction of the favourites of fortune. This narrow and unjust view which took so little into account, our services and devotion to truth, this prejudice, ended by disappearing when the development of science showed that Nature's laws were applicable to practical industry, and their effect was to replace the old traditional receipts and empirics by profitable rules founded on observation and experience. To-day who would dare to look upon science as a sterile amusement in presence the general increase of national and private riches which resulted from it?"
"His laws are... (1) The heat disengaged in any reaction is a measure of the chemical and physical work accomplished in the reaction. (2) The total thermal value of a reaction is dependent only on the initial and final states of the changing system. (3) "The Law of Maximum Work," or "the theorem of the necessity of reactions"... This law is the fundamental principle of Berthelot's thermo-chemistry: "The quantity of heat evolved in a reaction measures the sum of the physical and chemical changes which occur in that reaction"â"ce principe fournit la mesure des affinitĂŠs chimiques.""
"Berthelot's agricultural station and laboratory were at , and here experiments on vegetable soils, the fixation of atmospheric nitrogen in soils by the agency of microbes, the action of electricity on the growth of plants, etc., were conducted. Berthelot states that twenty-five pounds of per annum per acre might be fixed by bacteria."
"During the siege of Paris, Berthelot was President of the Scientific Committee of National Defence, and was occupied in the manufacture of explosives, and in 1883 he published, in two volumes, his work, Sur la Force des Matieres Explosives... a valuable contribution to the science..."
"In 1860 Berthelot's Chimie Organique fondÊe sur la Synthèse, was published. It was the first... based entirely on synthesis."
"His methods were simple and direct. By means of the electric spark, and united to form ; or [acetylene was also obtained] by... [sparking] a mixture of hydrogen and ...or by... spark[ing] a mixture of hydrogen with vapour, or ."
"He also formed by passing the vapour of and sulphuretted hydrogen over hot copper; and by the action of carbon monoxide on a hot solution of caustic potash, was produced, the formate yielding on distillation with ."