Nominalism and constructivism in seventeenth-century mathematical philosophy

  title={Nominalism and constructivism in seventeenth-century mathematical philosophy},
  author={David Sepkoski},

Theological Underpinnings of the Modern Philosophy of Mathematics.

Abstract The study is focused on the relation between theology and mathematics in the situation of increasing secularization. My main concern is nineteenth-century mathematics. Theology was present

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In the following pages, we will explore the proximity of Marin Mersenne and Pierre Gassendi’s arguments against Descartes’ Meditations. We will study how, in some of their objections, both Mersenne

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This dissertation provides a contribution to a new history of exact thought in which the existence of a break between "non-modern" and "modern" abstraction is put forward to account for the

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In his influential book Conceptual Revolutions (1992), Thagard asked whether the question of conceptual change is identical with the question of belief revision. One might argue that they are

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ABSTRACT The paper discusses some of the contributions of Duncan Farquharson Gregory and Robert Leslie Ellis to symbolical algebra and their views on the philosophy of mathematics with the aim of

Ten Misconceptions from the History of Analysis and Their Debunking

The widespread idea that infinitesimals were “eliminated” by the “great triumvirate” of Cantor, Dedekind, and Weierstrass is refuted by an uninterrupted chain of work on infinitesimal-enriched number

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This paper focuses on the construction, development, and use of mathematical models by prospective science and mathematics teachers enrolled in a university physics course. By studying their

Von der Metaphysik als Wissenschaft zur Bewegungslehre

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Certain Philosophical Questions: Newton's Trinity Notebook

Preface Part I. Commentary: Introduction 1. Infinity, indivisibilism, and the void 2. The Cartesian influence 3. Newton on projectile motion and the void 4. Physiology and Hobbesian epistemology 5.

Divine Will and the Mechanical Philosophy: Gassendi and Descartes on Contingency and Necessity in the Created World.

Part I. Theology and the Philosophy of Nature: 1. Divine power and divine will in the Middle Ages: historical and conceptual background 2. Baptizing epicurean philosophy: Gassendi on divine will and

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This book is a pioneering work of intellectual history that transformed our understanding of the relationship between Christian theology and the development of science. The author explores the

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1. Purpose of this book Part I. Newton's Methods: 2. Newton's methods of series and fluxions 3. The mathematical methods of the Principia Part II. Three Readers: 4. Newton: between tradition and

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Did modernity begin with the Renaissance and end with post-modernity? In this book a distinguished scholar challenges both these assumptions. Louis Dupre discusses the roots, development, and impact

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Reviews: Mathematics and Logic-Symbols, Impossible Numbers, and Geometric Entanglements: British Algebra through the Commentaries on Newton's Universal Arithmetick

Acknowledgements Introduction 1. Setting the scene 2. William Oughtred and Thomas Harriot 3. John Collins's campaign for a current English algebra textbook 4. John Pell's English edition of Rahn's