Berkeley S Philosophy Of Mathematics

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Berkeley S Philosophy Of Mathematics

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Author : Douglas M. Jesseph
language : en
Publisher: University of Chicago Press
Release Date : 2010-12-15

Berkeley S Philosophy Of Mathematics written by Douglas M. Jesseph and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-15 with Philosophy categories.

In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution. Jesseph begins with Berkeley's radical opposition to the received view of mathematics in the philosophy of the late seventeenth and early eighteenth centuries, when mathematics was considered a "science of abstractions." Since this view seriously conflicted with Berkeley's critique of abstract ideas, Jesseph contends that he was forced to come up with a nonabstract philosophy of mathematics. Jesseph examines Berkeley's unique treatments of geometry and arithmetic and his famous critique of the calculus in The Analyst. By putting Berkeley's mathematical writings in the perspective of his larger philosophical project and examining their impact on eighteenth-century British mathematics, Jesseph makes a major contribution to philosophy and to the history and philosophy of science.

Berkeley S Philosophy Of Mathematics

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Author : Douglas M. Jesseph
language : en
Publisher: University of Chicago Press
Release Date : 1993-09-15

Berkeley S Philosophy Of Mathematics written by Douglas M. Jesseph and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-15 with Mathematics categories.

In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution. Jesseph begins with Berkeley's radical opposition to the received view of mathematics in the philosophy of the late seventeenth and early eighteenth centuries, when mathematics was considered a "science of abstractions." Since this view seriously conflicted with Berkeley's critique of abstract ideas, Jesseph contends that he was forced to come up with a nonabstract philosophy of mathematics. Jesseph examines Berkeley's unique treatments of geometry and arithmetic and his famous critique of the calculus in The Analyst. By putting Berkeley's mathematical writings in the perspective of his larger philosophical project and examining their impact on eighteenth-century British mathematics, Jesseph makes a major contribution to philosophy and to the history and philosophy of science.

Philosophy Of Mathematics And Mathematical Practice In The Seventeenth Century

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Author : Paolo Mancosu
language : en
Publisher: Oxford University Press
Release Date : 1996-01-18

Philosophy Of Mathematics And Mathematical Practice In The Seventeenth Century written by Paolo Mancosu and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-18 with Philosophy categories.

The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics.

George Berkeley Religion And Science In The Age Of Enlightenment

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Author : Silvia Parigi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-04

George Berkeley Religion And Science In The Age Of Enlightenment written by Silvia Parigi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-04 with Philosophy categories.

George Berkeley was considered "the most engaging and useful man in Ireland in the eighteenth century". This hyperbolic statement refers both to Berkeley’s life and thought; in fact, he always considered himself a pioneer called to think and do new things. He was an empiricist well versed in the sciences, an amateur of the mechanical arts, as well as a metaphysician; he was the author of many completely different discoveries, as well as a very active Christian, a zealous bishop and the apostle of the Bermuda project. The essays collected in this volume, written by some leading scholars, aim to reconstruct the complexity of Berkeley’s figure, without selecting "major" works, nor searching for "coherence" at any cost. They will focus on different aspects of Berkeley’s thought, showing their intersections; they will explore the important contributions he gave to various scientific disciplines, as well as to the eighteenth-century philosophical and theological debate. They will highlight the wide influence that his presently most neglected or puzzling books had at the time; they will refuse any anachronistical trial of Berkeley’s thought, judged from a contemporary point of view.

Berkeley S Doctrine Of Signs

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Author : Manuel Fasko
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-04-22

Berkeley S Doctrine Of Signs written by Manuel Fasko and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 with Philosophy categories.

This volume focuses on Berkeley’s doctrine of signs. The ‘doctrine of signs’ refers to the use that Berkeley makes of a phenomenon that is central to a great deal of everyday discourse: one whereby certain perceivable entities are made to stand in for (as ‘signs’ of) something else. Things signified might be other perceivable entities or they might also be unperceivable notions – such as the meanings of words. From his earliest published work, A New Theory of Vision in 1710, to those works written towards the end of life, including Alciphron in 1732, Berkeley is at pains to emphasise the crucial role that sign-usage, particularly (but not only) in language, plays in human life. Berkeley also connects sign-usage to our (human) relationship with God: an issue that was right of the heart of his philosophical project. The contributions in this volume explore the myriad ways that Berkeley built on such insights to better understand a range of philosophical issues – issues of epistemology, language, perception, mental representation, mathematics, science, and theology. The aim of this volume is to establish that the doctrine of signs can be seen as one of the unifying themes of Berkeley’s philosophy. What’s more, this theme is one which spans his whole philosophical corpus; not just his best-known works like the Principles and the Three Dialogues, but also his works on science, mathematics, and theology.

Berkeley S Philosophy Of Science

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Author : Richard J. Brook
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Berkeley S Philosophy Of Science written by Richard J. Brook and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Philonous: You see, Hylas, the water of yonder fountain, how it is forced upwards, in a round column, to a certain height, at which it breaks and falls back into the basin from whence it rose, its ascent as well as descent proceeding from the same uniform law or principle of gravitation. Just so, the same principles which at first view, lead to skepticism, pursued to a certain point, bring men back to common 1 sense. Although major works on Berkeley have considered his Philosophy of 1 George Berkeley, Three Dialogues Between Hylas and Philonous, ed. Colin Murray Turbayne, (third and final edition; London 1734); (New York: The Bobbs Merrill Company, Inc., Library of Liberal Arts, 1965), p. 211. Berkeley, in general, conveniently numbered sections in his works, and in the text of the essay, we will refer if possible to the title and section number. References to the Three Dialogues Between Hylas and Philonous will be also made in the text and refer to the dialogue number and page in the Turbayne edition cited above.

George Berkeley And Early Modern Philosophy

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Author : Stephen H. Daniel
language : en
Publisher: Oxford University Press
Release Date : 2021-04-01

George Berkeley And Early Modern Philosophy written by Stephen H. Daniel and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Philosophy categories.

Stephen Daniel presents a study of the philosophy of George Berkeley in the intellectual context of his times, with a particular focus on how, for Berkeley, mind is related to its ideas. Daniel does not assume that thinkers like Descartes, Malebranche, or Locke define for Berkeley the context in which he develops his own thought. Instead, he indicates how Berkeley draws on a tradition that informed his early training and that challenges much of the early modern thought with which he is often associated. Specifically, this book indicates how Berkeley's distinctive treatment of mind (as the activity whereby objects are differentiated and related to one another) highlights how mind neither precedes the existence of objects nor exists independently of them. This distinctive way of understanding the relation of mind and objects allows Berkeley to appropriate ideas from his contemporaries in ways that transform the issues with which he is engaged. The resulting insights--for example, about how God creates the minds that perceive objects--are only now starting to be fully appreciated.

Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy

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Author : David Sepkoski
language : en
Publisher: Routledge
Release Date : 2013-05-24

Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy written by David Sepkoski and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Philosophy categories.

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.

The Bloomsbury Companion To Berkeley

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Author : Bertil Belfrage
language : en
Publisher: Bloomsbury Publishing
Release Date : 2017-09-21

The Bloomsbury Companion To Berkeley written by Bertil Belfrage and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-21 with Philosophy categories.

Due to his theory of 'immaterialism' and Schopenhauer's regard of him as the 'father of idealism', George Berkeley (1685-1753) is one of the most important thinkers of the Early Modern period. The Bloomsbury Companion to Berkeley is a comprehensive one volume reference guide to his life, thought and work. In twenty six original essays, a team of leading international scholars of Modern Philosophy cover all of Berkeley's writings including unpublished manuscripts and correspondence, thus providing readers with a complete and accessible source of information to the entire corpus of Berkeley's writings. The book includes extended essays on key themes in Berkeley's thought as well as sections covering Berkeley's life and times, and also his intellectual influence and legacy.

Canadian Philosophical Reviews

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Author :
language : en
Publisher:
Release Date : 1995

Canadian Philosophical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Philosophy categories.