Berkeley's Philosophy of Mathematics

Berkeley's Philosophy of Mathematics

Author: Douglas M. Jesseph

Publisher: University of Chicago Press

Published: 1993-09-15

Total Pages: 344

ISBN-13: 9780226398976

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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.


De Motu and the Analyst

De Motu and the Analyst

Author: G. Berkeley

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 235

ISBN-13: 9401125929

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Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.


Berkeley's Philosophy of Mathematics

Berkeley's Philosophy of Mathematics

Author: Douglas M. Jesseph

Publisher: University of Chicago Press

Published: 2010-12-15

Total Pages: 335

ISBN-13: 0226398951

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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.


The Cambridge Companion to Berkeley

The Cambridge Companion to Berkeley

Author: Kenneth P. Winkler

Publisher: Cambridge University Press

Published: 2005-12-19

Total Pages: 474

ISBN-13: 1139825186

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George Berkeley is one of the greatest and most influential modern philosophers. In defending the immaterialism for which he is most famous, he redirected modern thinking about the nature of objectivity and the mind's capacity to come to terms with it. Along the way, he made striking and influential proposals concerning the psychology of the senses, the workings of language, the aims of science, and the scope of mathematics. In this Companion volume a team of distinguished authors not only examines Berkeley's achievements but also his neglected contributions to moral and political philosophy, his writings on economics and development, and his defense of religious commitment and religious life. The volume places Berkeley's achievements in the context of the many social and intellectual traditions - philosophical, scientific, ethical, and religious - to which he fashioned a distinctive response.


George Berkeley

George Berkeley

Author: Tom Jones

Publisher: Princeton University Press

Published: 2021-05-04

Total Pages: 648

ISBN-13: 0691217483

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A comprehensive intellectual biography of the Enlightenment philosopher In George Berkeley: A Philosophical Life, Tom Jones provides a comprehensive account of the life and work of the preeminent Irish philosopher of the Enlightenment. From his early brilliance as a student and fellow at Trinity College Dublin to his later years as Bishop of Cloyne, Berkeley brought his searching and powerful intellect to bear on the full range of eighteenth-century thought and experience. Jones brings vividly to life the complexities and contradictions of Berkeley’s life and ideas. He advanced a radical immaterialism, holding that the only reality was minds, their thoughts, and their perceptions, without any physical substance underlying them. But he put forward this counterintuitive philosophy in support of the existence and ultimate sovereignty of God. Berkeley was an energetic social reformer, deeply interested in educational and economic improvement, including for the indigenous peoples of North America, yet he believed strongly in obedience to hierarchy and defended slavery. And although he spent much of his life in Ireland, he followed his time at Trinity with years of travel that took him to London, Italy, and New England, where he spent two years trying to establish a university for Bermuda, before returning to Ireland to take up an Anglican bishopric in a predominantly Catholic country. Jones draws on the full range of Berkeley’s writings, from philosophical treatises to personal letters and journals, to probe the deep connections between his life and work. The result is a richly detailed and rounded portrait of a major Enlightenment thinker and the world in which he lived.


Routledge Philosophy GuideBook to Berkeley and the Principles of Human Knowledge

Routledge Philosophy GuideBook to Berkeley and the Principles of Human Knowledge

Author: Robert Fogelin

Publisher: Routledge

Published: 2003-09-02

Total Pages: 140

ISBN-13: 1134532733

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George Berkeley is one of the most prominent philosophers of the eighteenth century. His Principles of Human Knowledge has become a focal point in the understanding of empiricist thought and the development of eighteenth century philosophy. This volume introduces and assesses: * Berkeley's life and the background to the Principles * The ideas and text in the Principles * Berkeley's continuing importance to philosophy.


A Treatise Concerning the Principles of Human Knowledge

A Treatise Concerning the Principles of Human Knowledge

Author: George Berkeley

Publisher: Palala Press

Published: 2016-04-27

Total Pages: 432

ISBN-13: 9781354806661

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Berkeley

Berkeley

Author: Colin Murray Turbayne

Publisher: Manchester University Press

Published: 1982

Total Pages: 378

ISBN-13: 9780719009235

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George Berkeley and Early Modern Philosophy

George Berkeley and Early Modern Philosophy

Author: Stephen H. Daniel

Publisher: Oxford University Press

Published: 2021

Total Pages: 351

ISBN-13: 0192893890

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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.