Review of The “Jesuit Edition” of Isaac Newton’s Principia.

The aim of this paper is twofold: (1) to show the principal aspects of the way in which Newton conceived his mathematical concepts and methods and applied them to rational mechanics in his Principia; (2) to explain how the editors of the Geneva Edition interpreted, clarified, and made accessible to a broader public Newton’s perfect but often elliptic proofs. Following this line of inquiry, we will explain the successes of Newton’s mechanics, but also the problematic aspects of his perfect geometrical (...) methods, more elegant, but less malleable than analytical procedures, of which Newton himself was one of the inventors. Furthermore, we will also consider the way in which Newtonianism was spread before in England and afterwards on continental Europe. In this respect the Geneva Edition plays a fundamental role because of its complete apparatus of notes, and because it appeared only thirteen years after the publication of the third edition of the Principia (1726). Finally, we will also confront some problems connected to the metaphysics of calculus. Therefore, the case of Newton is one of those in which, starting from mathematics applied to physics, it is possible to connect an impressive series of fundamental arguments such as the role of mathematics in science; the comparison between Newton’s geometrical methods and analytical methods; the way in which Newtonianism was spread as well as the philosophical implications of Newton’s mathematical concepts. (shrink)

The terms “paradigm” and “paradigm shift” originated in “The Structure of Scientific Revolutions” by Thomas Kuhn. A paradigm can be defined as the generally accepted concepts and practices of a field, and a paradigm shift its replacement in a scientific revolution. A paradigm shift results from a crisis caused by anomalies in a paradigm that reduce its usefulness to a field. Claims of paradigm shifts and revolutions are made frequently in the neurosciences. In this article I will consider neuroscience paradigms, (...) and the claim that new tools and techniques rather than crises have driven paradigm shifts. I will argue that tool development has played a minor role in neuroscience revolutions. (shrink)

A Bayesian account of the virtue of unification is given. On this account, the ability of a theory to unify disparate phenomena consists in the ability of the theory to render such phenomena informationally relevant to each other. It is shown that such ability contributes to the evidential support of the theory, and hence that preference for theories that unify the phenomena need not, on a Bayesian account, be built into the prior probabilities of theories.

These reflections range over some distinctive features of the journal Science & Education, they acknowledge in a limited way the many individuals who over the past 25 years have contributed to the success and reputation of the journal, they chart the beginnings of the journal, and they dwell on a few central concerns—clear writing and the contribution of HPS to teacher education. The reflections also revisit the much-debated and written-upon philosophical and pedagogical arguments occasioned by the rise and possible demise (...) of constructivism in science education. (shrink)

It is here argued that Halley's comet had a more pivotal role than has hitherto been believed in triggering Newton's acceptance of the law of gravity, dispelling his belief in Descartes' theory of vortices. It is found that historians have been unduly prone to credit Newton with dynamical insights at an earlier date than is warranted by the historical documents. A more convincing account of the transition from the period of Newton's alchemical researches of the 1670s to that of his (...) dynamical insights in the 1680s thereby becomes feasible. Acceptance of a principle of rectilinear inertia was a precondition for formulating the law. (shrink)

Inductive generalization asserts that what obtains in known instances can be generalized to all. Its original form is enumerative induction, the earliest form of inductive inference, and it has been elaborated in various ways, largely with the goal of extending its reach. Its principal problem is that it supplies no intrinsic notion of strength of support so that one cannot tell if the generalization has weak or strong support.

The paper concentrates on the most pressing question of Indian philosophy: what is the exact connotation of a word or what sort of entity helps us to identify the meaning of a word? The paper focuses on the clash between Realism (Nyāya) and Apoha vāda (Buddhist) regarding the debate whether the meaning of a word is particular/universal or both. The paper asserts that though Naiyāyikas and Mīmāṁsakas challenged against Buddhist Apoha vāda, yet they realized that to establish an opinion in (...) support of a word that conceptually denotes a negative meaning first would be a very difficult task. (shrink)

Dans une note intitulée « Un état vrai de l'affaire et la controverse entre Sr Isaak Newton et le Dr Robert Hooke comme priorité de cette noble hypothèse du mouvement des planètes autour du Soleil en tant que leurs centres » non publié au cours de sa vie, Hooke a décrit sa théorie de la gravité. Pour soutenir sa « priorité », Hooke cite ses conférences sur les mouvements planétaires du 23 mai 1666, « Une tentative de prouver le mouvement (...) de la Terre à partir d'observations » publiées en 1674 et la correspondance avec Isaac Newton en 1679. DOI: 10.13140/RG.2.2.26375.24485. (shrink)

One of the most disputed controversy over the priority of scientific discoveries is that of the law of universal gravitation, between Isaac Newton and Robert Hooke. Hooke accused Newton of plagiarism, of taking over his ideas expressed in previous works. In this paper I try to show, on the basis of previous analysis, that both scientists were wrong: Robert Hooke because his theory was basically only ideas that would never have materialized without Isaac Newton's mathematical support; and the latter was (...) wrong by not recognizing Hooke's ideas in drawing up the theory of gravity. Moreover, after Hooke's death and taking over the Royal Society presidency, Newton removed from the institution any trace of the former president Robert Hooke. For this, I detail the accusations and arguments of each of the parts, and how this dispute was perceived by the contemporaries of the two scientists. I finish the paper with the conclusions drawn from the contents. -/- Keywords: Isaac Newton, Robert Hooke, law of gravity, priority, plagiarism -/- CONTENTS -/- Abstract Introduction Robert Hooke's contribution to the law of universal gravitation Isaac Newton's contribution to the law of universal gravitation Robert Hooke's claim of his priority on the law of universal gravitation Newton's defense The controversy in the opinion of other contemporary scientists What the supporters of Isaac Newton say What the supporters of Robert Hooke say Conclusions Bibliography -/- DOI: 10.13140/RG.2.2.19370.26567 . (shrink)

Una din cele mai disputate controverse privind prioritatea unor descoperiri științifice este cea privind legea gravitației universale, între Isaac Newton și Robert Hooke. În acest eseu extind o lucrare mai veche pe aceeași temă, ”Isaac Newton vs. Robert Hooke în legea gravitației universale”. Hooke l-a acuzat pe Newton de plagiat, preluându-i ideile exprimate în lucrările anterioare. În această lucrare încerc să arăt, pe baza unor analize anterioare, că ambii oameni de știință au greșit: Robert Hooke pentru că teoria sa nu (...) era în fond decât idei care nu s-ar fi materializat niciodată fără suportul matematic al lui Isaac Newton; iar acesta din urmă a greșit nerecunoscând niciun merit al lui Hooke în elaborarea teoriei gravitației. Mai mult, după moartea lui Hooke și preluarea prezidenției Societății Regale, Newton a înlăturat orice urmă din instituție a fostului președinte, Robert Hooke. De asemenea, La negarea contribuției lui Hooke a contribuit și statutul său social ”inferior”, fiind poreclit de contemporani ”mecanicul”, spre deosebire de Sir Isaac Newton cel nobil. Pentru aceasta detaliez acuzațiile și argumentele fiecăreia dintre părți, și cum a fost percepută această dispută de către contemporanii celor doi. Finalizez lucrarea cu concluziile desprinse din cuprins. (shrink)

Based on Galileo's experiments, Newton develops the theory of gravity in his first book Philosophiæ Naturalis Principia Mathematica ("Principia") of 1686. Immediately after, Robert Hooke accused Newton of plagiarism, claiming that he unduly assumed his "notion" of "the rule of the decrease of Gravity, being reciprocally as the squares of the distances from the Center". But, according to Edmond Halley, Hooke agreed that "the demonstration of the curves generated by it" belongs entirely to Newton.