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.


Book Synopsis Berkeley's Philosophy of Mathematics by : Douglas M. Jesseph

Download or read book Berkeley's Philosophy of Mathematics written by Douglas M. Jesseph and published by University of Chicago Press. This book was released on 2010-12-15 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

George Berkeley's Philosophy of Mathematics

George Berkeley's Philosophy of Mathematics

Author: Robert James Baum

Publisher:

Published: 1969

Total Pages: 648

ISBN-13:

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Book Synopsis George Berkeley's Philosophy of Mathematics by : Robert James Baum

Download or read book George Berkeley's Philosophy of Mathematics written by Robert James Baum and published by . This book was released on 1969 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Berkeley's Philosophy of Mathematics

Berkeley's Philosophy of Mathematics

Author: Douglas Michael Jesseph

Publisher:

Published: 1987

Total Pages: 410

ISBN-13:

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Book Synopsis Berkeley's Philosophy of Mathematics by : Douglas Michael Jesseph

Download or read book Berkeley's Philosophy of Mathematics written by Douglas Michael Jesseph and published by . This book was released on 1987 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.


Book Synopsis De Motu and the Analyst by : G. Berkeley

Download or read book De Motu and the Analyst written by G. Berkeley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Defence of Free-Thinking in Mathematics

A Defence of Free-Thinking in Mathematics

Author: George Berkeley

Publisher:

Published: 2024-03-18

Total Pages: 0

ISBN-13: 9781835914434

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"A Defence of Free-Thinking in Mathematics" is an influential work by the philosopher George Berkeley, published in 1735. In this book, Berkeley argues against the prevailing views of mathematics and the philosophical assumptions that underlie them. Berkeley begins by challenging the notion that mathematics is a purely deductive science, separate from empirical observation and contingent on the existence of material objects. He criticizes the reliance on abstract concepts such as points, lines, and numbers, which he believes have no basis in reality. Instead, Berkeley advocates for a more empirically grounded approach to mathematics, one that is rooted in sensory experience and concrete phenomena. Central to Berkeley's argument is his rejection of the existence of abstract entities, including mathematical objects, outside the mind. He contends that mathematical truths are not discovered but rather invented by the human mind and that they are ultimately dependent on our perceptions and conceptual frameworks. Furthermore, Berkeley contends that the use of infinitesimals and other mathematical concepts that cannot be directly observed or measured introduces ambiguity and uncertainty into mathematical reasoning. He advocates for a more rigorous and intuitive approach to mathematics, one that is free from the speculative assumptions of traditional mathematical philosophy. Overall, "A Defence of Free-Thinking in Mathematics" presents a radical critique of the foundations of mathematics and challenges readers to reconsider their assumptions about the nature of mathematical knowledge and truth. It remains an important work in the philosophy of mathematics and continues to provoke debate and discussion among scholars to this day.


Book Synopsis A Defence of Free-Thinking in Mathematics by : George Berkeley

Download or read book A Defence of Free-Thinking in Mathematics written by George Berkeley and published by . This book was released on 2024-03-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Defence of Free-Thinking in Mathematics" is an influential work by the philosopher George Berkeley, published in 1735. In this book, Berkeley argues against the prevailing views of mathematics and the philosophical assumptions that underlie them. Berkeley begins by challenging the notion that mathematics is a purely deductive science, separate from empirical observation and contingent on the existence of material objects. He criticizes the reliance on abstract concepts such as points, lines, and numbers, which he believes have no basis in reality. Instead, Berkeley advocates for a more empirically grounded approach to mathematics, one that is rooted in sensory experience and concrete phenomena. Central to Berkeley's argument is his rejection of the existence of abstract entities, including mathematical objects, outside the mind. He contends that mathematical truths are not discovered but rather invented by the human mind and that they are ultimately dependent on our perceptions and conceptual frameworks. Furthermore, Berkeley contends that the use of infinitesimals and other mathematical concepts that cannot be directly observed or measured introduces ambiguity and uncertainty into mathematical reasoning. He advocates for a more rigorous and intuitive approach to mathematics, one that is free from the speculative assumptions of traditional mathematical philosophy. Overall, "A Defence of Free-Thinking in Mathematics" presents a radical critique of the foundations of mathematics and challenges readers to reconsider their assumptions about the nature of mathematical knowledge and truth. It remains an important work in the philosophy of mathematics and continues to provoke debate and discussion among scholars to this day.

The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst. A defence of free-thinking in mathematics. Reasons for not replying to Mr. Walton's "full answer." Siris. Letters ... on the virtues of tar-water. Farther thoughts on tar-water. Appendices: A. Berkeley's rough draft of the Introduction to the Principles of human knowledge. B. Arthur Collier. C. Samuel Johnson and Jonathan Edwards. D. Some of Berkeley's early critics. E. An essay 'Of infinites' by Berkeley

The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst. A defence of free-thinking in mathematics. Reasons for not replying to Mr. Walton's

Author: George Berkeley

Publisher:

Published: 1901

Total Pages: 466

ISBN-13:

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Book Synopsis The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst. A defence of free-thinking in mathematics. Reasons for not replying to Mr. Walton's "full answer." Siris. Letters ... on the virtues of tar-water. Farther thoughts on tar-water. Appendices: A. Berkeley's rough draft of the Introduction to the Principles of human knowledge. B. Arthur Collier. C. Samuel Johnson and Jonathan Edwards. D. Some of Berkeley's early critics. E. An essay 'Of infinites' by Berkeley by : George Berkeley

Download or read book The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst. A defence of free-thinking in mathematics. Reasons for not replying to Mr. Walton's "full answer." Siris. Letters ... on the virtues of tar-water. Farther thoughts on tar-water. Appendices: A. Berkeley's rough draft of the Introduction to the Principles of human knowledge. B. Arthur Collier. C. Samuel Johnson and Jonathan Edwards. D. Some of Berkeley's early critics. E. An essay 'Of infinites' by Berkeley written by George Berkeley and published by . This book was released on 1901 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Berkeley’s Philosophy of Science

Berkeley’s Philosophy of Science

Author: Richard J. Brook

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 216

ISBN-13: 9401019940

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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.


Book Synopsis Berkeley’s Philosophy of Science by : Richard J. Brook

Download or read book Berkeley’s Philosophy of Science written by Richard J. Brook and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Berkeley's Doctrine of Signs

Berkeley's Doctrine of Signs

Author: Manuel Fasko

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2024-04-22

Total Pages: 242

ISBN-13: 3111197581

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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.


Book Synopsis Berkeley's Doctrine of Signs by : Manuel Fasko

Download or read book Berkeley's Doctrine of Signs written by Manuel Fasko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Principles

Berkeley's Principles

Author: George Berkeley

Publisher: Routledge

Published: 2016-10-03

Total Pages: 181

ISBN-13: 1317389069

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Berkeley's Principles: Expanded and Explained includes the entire classical text of the Treatise Concerning the Principles of Human Knowledge in bold font, a running commentary blended seamlessly into the text in regular font and analytic summaries of each section. The commentary is like a professor on hand to guide the reader through every line of the daunting prose and every move in the intricate argumentation. The unique design helps today's students learn how to read and engage with one of modern philosophy's most important and exciting classics.


Book Synopsis Berkeley's Principles by : George Berkeley

Download or read book Berkeley's Principles written by George Berkeley and published by Routledge. This book was released on 2016-10-03 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley's Principles: Expanded and Explained includes the entire classical text of the Treatise Concerning the Principles of Human Knowledge in bold font, a running commentary blended seamlessly into the text in regular font and analytic summaries of each section. The commentary is like a professor on hand to guide the reader through every line of the daunting prose and every move in the intricate argumentation. The unique design helps today's students learn how to read and engage with one of modern philosophy's most important and exciting classics.

The Development of Berkeley's Philosophy

The Development of Berkeley's Philosophy

Author: G. A. Johnston

Publisher: Taylor & Francis

Published: 2023-01-20

Total Pages: 416

ISBN-13: 1317842510

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First published in 1988. This is part of a fifteen volume series reproducing classic studies and including never before published titles. In his book the author throws light on the evolution of Berkeley’s thought and philosophy by a careful study of his works in their chronological sequence and by detailed reference to his relations with his predecessors and contemporaries.


Book Synopsis The Development of Berkeley's Philosophy by : G. A. Johnston

Download or read book The Development of Berkeley's Philosophy written by G. A. Johnston and published by Taylor & Francis. This book was released on 2023-01-20 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1988. This is part of a fifteen volume series reproducing classic studies and including never before published titles. In his book the author throws light on the evolution of Berkeley’s thought and philosophy by a careful study of his works in their chronological sequence and by detailed reference to his relations with his predecessors and contemporaries.