Alexandre Koyré. of the fixed stars is infinite commit a contradiction in adjecto. In truth, an infinite body cannot be comprehended by thought. For the concepts of the mind concerning the infinite are either about the meaning oftheterm "infinite,"  ...

A landmark study of the 'founder of modern science'.

Taking Isaac Newton at his own word, historians have long agreed that the decade of the 1660s, when Newton was a young man in his twenties, was the critical period in his scientific career. In the years 1665 and 1666, he has told us, he hit on the ideas of cosmic gravitation, the composition of white light, and the fluxional calculus. The elaboration of these basic ideas constituted his scientific achievement. Nevertheless, the decade of the 1660s has remained a virtual (...) blank in our knowledge of Newton. It need not remain so always. His papers contain a wealth of manuscripts from his undergraduate years and the period immediately following. The first volume of his mathematical papers, which will soon be published, will demonstrate how extensive the information on his early mathematical development is. The development of his non-mathematical studies, especially of what I shall call his scientific studies to distinguish them from the mathematical, can be followed as well—in his reading notes, in his notebooks, above all in the passage in his philosophical notebook labelled Quaestiones quaedam Philosophicae. In this passage we see emerging into consciousness for the first time the questions on which Newton's philosophy of nature was built. (shrink)

In this book, Lawrence Sklar demonstrates the interdependence of science and philosophy by examining a number of crucial problems on the nature of space and ...

As I have read the scholium, it divides into three main parts, not including the introductory paragraph. The first consists of paragraphs one to four in which Newton sets out his characterizations of absolute and relative time, space, place, and motion. Although some justificatory material is included here, notably in paragraph three, the second part is reserved for the business of justifying the characterizations he has presented. The main object is to adduce grounds for believing that the absolute quantities are (...) indeed distinct from their relative measures and are not reducible to them. Paragraph five takes this up for the case of time. Paragraphs eight to twelve endeavor to do this for rest and motion by appealing to their properties, causes and effects. In arguing that absolute motion is not reducible to any particular form of the relative motion of bodies with respect to one another, and thus, as is directly argued in the third argument, must be understood in terms of motionless places, Newton thereby constructs an indirect case that absolute space is indeed something distinct from any relative space. Paragraph thirteen functions as conclusion to this line of inquiry and comments on how, in the light of this, the names of these quantities are to be interpreted in the scriptures. The third and final part consists of paragraph fourteen alone, and addresses the question: given that true motion is motion with respect to absolute space, but the parts of the latter are not perceivable, is it possible for us to know the true motions of individual bodies? Newton illustrates how this may be done from the evidence provided by their apparent motions and the forces which are the causes and effects of true motion. This forms a bridge to the body of the work insofar as the purpose of the Principia, according to Newton, is to show how this, and the converse problem, of inferring true and apparent motions from the forces, can be dealt with.Part II of this paper will appear in the next issue of Studies in History and Philosophy of Science. (shrink)

Manuscript Add. 3965, section 13, folios 541r–542r and 545r–546r is in the Portsmouth Collection of manuscripts and housed in the University Library, Cambridge. These drafts contain a careful account, in Newton's hand, of his views on place, time, and God. They are part of a large number of drafts relating to the three official editions of the Principia published in Newton's lifetime.

This study considers Newton's views on space and time with respect to some important ontologies of substance in his period. Specifically, it deals in a philosophico-historical manner with his conception of substance, attribute, existence, to actuality and necessity. I show how Newton links these “features” of things to his conception of God's existence with respect of infinite space and time. Moreover, I argue that his ontology of space and time cannot be understood without fully appreciating how it relates to the (...) nature of Divine existence. In order to establish this, the ontology embodied in Newton's theory of predication is analysed, and shown to be different from the presuppositions of the ontological argument. From the historical point of view Gassendi's influence is stressed, via the mediation of Walter Charleton. Furthermore, Newton's thought on these matters is contrasted with Descartes's and Spinoza's. In point of fact, in his earliest notebook Newton recorded observations on Descartes's version of the ontological argument. Soon, however, he was to oppose the Cartesian conception of the actuality of Divine existence by means of arguments similar to those of Gassendi. Lastly, I suggest that the nature and extent of Henry More's influence on Newton's conception of how God relates to absolute space and time bears further examination. (shrink)

: This article is concerned with Newton's appropriation of Descartes' ontology of true and immutable natures in developing his theory of infinitely extended space. It contends that unless the part played by the Platonic distinction between "being a nature" and "having a nature" in Newton's thinking is properly appreciated the foundation of his doctrine of space in relation to God will not be fully understood. It also contends that Newton's Platonism is consistent with his empiricism once the mediating role is (...) made clear that the geometry of moving loci play in grounding his intuitions concerning infinite natures. (shrink)

Newly updated study surveys concept of space from standpoint of historical development. Space in antiquity, Judeo-Christian ideas about space, Newton’s concept of absolute space, space from 18th century to present. Extensive new chapter (6) reviews changes in philosophy of space since publication of second edition (1969). Numerous original quotations and bibliographical references. "...admirably compact and swiftly paced style."—Philosophy of Science. Foreword by Albert Einstein. Bibliography.

In his recent survey of the “dialectic of creation” in seventeenth-century philosophy, Thomas Lennon has suggested that Descartes’s assumptions about causality encourage a kind of “pantheistic emanationism”. Lennon notes that Descartes regularly invokes the principle that there is nothing in the effect which was not previously present, either formally or eminently, in the cause. Descartes also believes that God is the continuous, total, and efficient cause of everything. From these assumptions it should follow that everything that exists in the created (...) world is previously present in God. Indeed, Descartes embraces the emanationist doctrine explicitly when, at the end of his replies to the Second Set of Objections, he arranges the arguments of the Meditations in “geometrical fashion.” The demonstration of Proposition III includes a sub-proof of the proposition that “he who preserves me has within himself, either formally or eminently, whatever is in me”. Since God preserves the entire universe, it follows that everything is in him, either formally or eminently. While far from the radical Spinozistic view that God and the world are identical, the notion that everything in creation is also in God would seem to have its own unwelcome theological consequences, at least from a Cartesian point of view. In particular, it implies that extension, and hence divisibility, are in God. But, as Descartes himself cautions, “being divisible is an imperfection” and so completely foreign to God. (shrink)

RésuméDans sa présentation récente de la «dialectique de la création» dans la philosophie du XVIIe siècle, Thomas Lennon suggère que les hypothèses de Descartes concernant la causalité conduisent à un dilemme : Descartes doit accepter soit une certaine sorte d'émanationnisme panthéiste, soit l'émergence de la réalité ex. nihilo. Dans cet article, je défends en détail cette suggestion de Lennon. Au cœur de la question se trouve la notion cartesienne de la possession éminente. Si cette notion est interprétée dans ce que (...) j'appelle un sens «réaliste», ainsi que Descartes lui-mêmesemble l'avoir fait, alors il n'y a pas moyen d'éviter l'émanationnisme panthéiste. Si la possession est interprétée dans ce que j'appelle un sens «réductionniste», comme l'ont fait la plupart des commentateurs récents, alors le principe causal fundamental de Descartes se révèle soit arbitraire soit trivial. (shrink)

The Cambridge History of 17th Century Philosophy offers a uniquely comprehensive and authoritative overview of early-modern philosophy written by an international team of specialists. As with previous Cambridge histories of philosophy the subject is treated by topic and theme, and since history does not come packaged in neat bundles, the subject is also treated with great temporal flexibility, incorporating frequent reference to medieval and Renaissance ideas. The basic structure of the volumes corresponds to the way an educated seventeenth - century (...) European might have organized the domain of philosophy. Thus, the history of science, religious doctrine, and politics feature very prominently. The narrative that unfolds begins with an intellectual world dominated by a synthesis of Aristotelianism and scholastic philosophy, but by the end of the period the mechanistic or "corpuscularian" philosophy has emerged and exerted its full impact on traditional metaphysics, ethics, theology, logic, and epistemology. (shrink)

Here, I shall argue that Van Helmont needs to be added to the list of sources on which Newton drew when formulating his doctrine of absolute time. This by no means implies that Van Helmont is the factual source of Newton's views on absolute time (I have found no clear-cut evidence in support of this claim). It is by no means my aim to debunk the importance of the other sources, but rather to broaden them. Different authors help to explain (...) different aspects of Newton's conception of absolute time. (shrink)

(1980). Jewish theologies of space in the scientific revolution: Henry More, Joseph Raphson, Isaac Newton and their predecessors. Annals of Science: Vol. 37, No. 5, pp. 489-548.

To the medieval thinker, man was the center of creation and all of nature existed purely for his benefit. The shift from the philosophy of the Middle Ages to the modern view of humanity's less central place in the universe ranks as the greatest revolution in the history of Western thought, and this classic in the philosophy of science describes and analyzes how the profound change occurred. A fascinating analysis of the works of Copernicus, Kepler, Galileo, Descartes, Hobbes, Gilbert, Boyle, (...) and Newton, it not only establishes the reasons for the triumph of the modern perspective but also accounts for certain limitations that characterize contemporary scientific thought. (shrink)

This pioneering work in the history of science, which originated in a series of three Gauss Seminars given at Princeton University in 1984, demonstrated how the roots of the scientific revolution lay in medieval scholasticism.

Newton's philosophical views are unique and uniquely difficult to categorise. In the course of a long career from the early 1670s until his death in 1727, he articulated profound responses to Cartesian natural philosophy and to the prevailing mechanical philosophy of his day. Newton as Philosopher presents Newton as an original and sophisticated contributor to natural philosophy, one who engaged with the principal ideas of his most important predecessor, René Descartes, and of his most influential critic, G. W. Leibniz. Unlike (...) Descartes and Leibniz, Newton was systematic and philosophical without presenting a philosophical system, but over the course of his life, he developed a novel picture of nature, our place within it, and its relation to the creator. This rich treatment of his philosophical ideas will be of wide interest to historians of philosophy, science, and ideas. (shrink)

The primary objective of this study is to provide a description of the major ideas about void space within and beyond the world that were formulated between the fourteenth and early eighteenth centuries. The second part of the book - on infinite, extracosmic void space - is of special significance. The significance of Professor Grant's account is twofold: it provides the first comprehensive and detailed description of the scholastic Aristotelian arguments for and against the existence of void space; and it (...) presents (again for the first time) an analysis of the possible influence of scholastic ideas and arguments on the interpretations of space proposed by the nonscholastic authors who made the Scientific Revolution possible. The concluding chapter of the book is unique in not only describing the conceptualizations of space proposed by the makers of the Scientific Revolution, but in assessing the role of readily available scholastic ideas on the conception of space adopted for the Newtonian world. (shrink)

Presenting the history of space-time physics, from Newton to Einstein, as a philosophical development DiSalle reflects our increasing understanding of the connections between ideas of space and time and our physical knowledge. He suggests that philosophy's greatest impact on physics has come about, less by the influence of philosophical hypotheses, than by the philosophical analysis of concepts of space, time and motion, and the roles they play in our assumptions about physical objects and physical measurements. This way of thinking leads (...) to interpretations of the work of Newton and Einstein and the connections between them. It also offers ways of looking at old questions about a priori knowledge, the physical interpretation of mathematics, and the nature of conceptual change. Understanding Space-Time will interest readers in philosophy, history and philosophy of science, and physics, as well as readers interested in the relations between physics and philosophy. (shrink)