This chapter explains what Isaac Newton means with the phrase “absolute, true, and mathematical time” in order to discuss some of the philosophic issues that it gives rise to. It describes Newton's thought in light of a number of scientific, technological, and metaphysical issues that arose in seventeenth‐century natural philosophy. The first section discusses some of the relevant context from the history of Galilean, mathematical natural philosophy, especially as exhibited by the work of Christiaan Huygens. The second section offers a (...) close reading of what Newton says about time in the Principia's Scholium to the definitions. It argues that Newton allows us to conceptually distinguish between “true” and “absolute” time from the vantage point of Newton's dynamics. The third section, in the context of a brief account of Descartes' views on time, discusses the material that Newton added to the second edition of the Principia in the General Scholium. (shrink)

Isaac Newton founded classical mechanics on the view that space is something distinct from body and that time is something that passes uniformly without regard to whatever happens in the world. For this reason he spoke of absolute space and absolute time, so as to distinguish these entities from the various ways by which we measure them (which he called relative spaces and relative times). From antiquity into the eighteenth century, contrary views which denied that space and time are real (...) entities maintained that the world is necessarily a material plenum. Concerning space, they held that the idea of empty space is a conceptual impossibility. Space is nothing but an abstraction we use to compare different arrangements of the bodies constituting the plenum. Concerning time, they insisted, there can be no lapse of time without change occurring somewhere. Time is merely a measure of the cycles of change within the world. (shrink)

Isaac Newton's Scientific Method examines Newton's argument for universal gravity and his application of it to resolve the problem of deciding between geocentric and heliocentric world systems by measuring masses of the sun and planets. William L. Harper suggests that Newton's inferences from phenomena realize an ideal of empirical success that is richer than prediction. Any theory that can achieve this rich sort of empirical success must not only be able to predict the phenomena it purports to explain, but also (...) have those phenomena accurately measure the parameters which explain them. Harper explores the ways in which Newton's method aims to turn theoretical questions into ones which can be answered empirically by measurement from phenomena, and to establish that propositions inferred from phenomena are provisionally accepted as guides to further research. This methodology, guided by its rich ideal of empirical success, supports a conception of scientific progress that does not require construing it as progress toward Laplace's ideal limit of a final theory of everything, and is not threatened by the classic argument against convergent realism. Newton's method endorses the radical theoretical transformation from his theory to Einstein's. Harper argues that it is strikingly realized in the development and application of testing frameworks for relativistic theories of gravity, and very much at work in cosmology today. (shrink)

Isaac Newton wrote the manuscript Questiones quaedam philosophicae at the very beginning of his scientific career. This small notebook thus affords rare insight into the beginnings of Newton's thought and the foundations of his subsequent intellectual development. The Questiones contains a series of entries in Newton's hand that range over many topics in science, philosophy, psychology, theology, and the foundations of mathematics. These notes, written in English, provide a very detailed picture of Newton's early interests, and record his critical appraisal (...) of contemporary issues in natural philosophy. Written predominantly in 1664-5, they give a significant perspective on Newton's thought just prior to his annus mirabilis, 1666. This volume provides a complete transcription of the Questiones, together with an 'expansion' into modern English, and a full editorial commentary on the content and significance of the notebook in the development of Newton's thought. It will be essential reading for all those interested in Newton and the intellectual foundations of science. (shrink)

In this paper I challenge the usual interpretations of Newton's and Leibniz's views on the nature of space and the relativity of motion. Newton's ‘relative space’ is not a reference frame; and Leibniz did not regard space as defined with respect to actual enduring bodies. Newton did not subscribe to the relativity of intertial motions; whereas Leibniz believed no body to be at rest, and Newton's absolute motion to be a useful fiction. A more accurate rendering of the opposition between (...) them, I argue, leads to a wholly different understanding of Leibniz's theory of space, one which is not susceptible to the objections Newton had raised against Descartes regarding the representation of motion. This in turn suggests a new approach for contemporary theory of space, one which neither hypostatizes space nor tries to reduce it to relations among actual things. * This work was generously supported by the National Endowment for the Humanities, with a Fellowship for College Teachers and Independent Scholars (FB-26897-89), and also by a sabbatical leave from my institution, Middlebury College. Iam very grateful to various members of faculty of York University for their appreciative reception of an earlier one-week-old version of this paper. ‘Relative Space in Newton and Leibniz’, read to the Department of Philosophy there in January 1990, and to Robert Rynasiewicz for criticisms of an extract read at the 1991 History of Science meeting. (shrink)

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