Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century write by Paolo Mancosu. This book was released on 1999. Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century available in PDF, EPUB and Kindle. 1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.
The Philosophy of Mathematical Practice
The Philosophy of Mathematical Practice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Philosophy of Mathematical Practice write by Paolo Mancosu. This book was released on 2008-06-19. The Philosophy of Mathematical Practice available in PDF, EPUB and Kindle. There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
The Language of Nature
The Language of Nature - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Language of Nature write by Geoffrey Gorham. This book was released on 2016-06-15. The Language of Nature available in PDF, EPUB and Kindle. Galileo’s dictum that the book of nature “is written in the language of mathematics” is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the received historiography has indicated, and that philosophical controversies about the implications of mathematization cannot be understood in isolation from broader social developments related to the status and practice of mathematics in various commercial, political, and academic institutions. Contributors: Roger Ariew, U of South Florida; Richard T. W. Arthur, McMaster U; Lesley B. Cormack, U of Alberta; Daniel Garber, Princeton U; Ursula Goldenbaum, Emory U; Dana Jalobeanu, U of Bucharest; Douglas Jesseph, U of South Florida; Carla Rita Palmerino, Radboud U, Nijmegen and Open U of the Netherlands; Eileen Reeves, Princeton U; Christopher Smeenk, Western U; Justin E. H. Smith, U of Paris 7; Kurt Smith, Bloomsburg U of Pennsylvania.
Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy
Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy write by David Sepkoski. This book was released on 2013-05-24. Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy available in PDF, EPUB and Kindle. What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answering this question, this book demonstrates that a significant group of philosophers shared the belief that there is no necessary correspondence between external reality and objects of human understanding, which they held to include the objects of mathematical and linguistic discourse. The result is a scholarly reliable, but accessible, account of the role of mathematics in the works of (amongst others) Galileo, Kepler, Descartes, Newton, Leibniz, and Berkeley. This impressive volume will benefit scholars interested in the history of philosophy, mathematical philosophy and the history of mathematics.
Mathematics in Kant's Critical Philosophy
Mathematics in Kant's Critical Philosophy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics in Kant's Critical Philosophy write by Lisa Shabel. This book was released on 2017-09-25. Mathematics in Kant's Critical Philosophy available in PDF, EPUB and Kindle. First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
