Berkeleys Philosophy Of Mathematics

Author : Douglas M. Jesseph
Publisher : University of Chicago Press
ISBN 13 : 0226398951
Total Pages : 335 pages
Book Rating : 4.52/5 ( download)

DOWNLOAD NOW!

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.

Author : G. Berkeley
Publisher : Springer Science & Business Media
ISBN 13 : 9401125929
Total Pages : 235 pages
Book Rating : 4.25/5 ( download)

DOWNLOAD NOW!

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.

Author : Robert James Baum
Publisher :
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.82/5 ( download)

DOWNLOAD NOW!

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:

Author : Douglas Michael Jesseph
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.71/5 ( download)

DOWNLOAD NOW!

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:

Author : Kenneth P. Winkler
Publisher : Cambridge University Press
ISBN 13 : 1139825186
Total Pages : 474 pages
Book Rating : 4.84/5 ( download)

DOWNLOAD NOW!

Download or read book The Cambridge Companion to Berkeley written by Kenneth P. Winkler and published by Cambridge University Press. This book was released on 2005-12-19 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : George Berkeley
Publisher :
ISBN 13 : 9781835914434
Total Pages : 0 pages
Book Rating : 4.38/5 ( download)

DOWNLOAD NOW!

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.

Author : George Berkeley
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.22/5 ( download)

DOWNLOAD NOW!

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:

Author : Robert Fogelin
Publisher : Taylor & Francis
ISBN 13 : 1134532741
Total Pages : 132 pages
Book Rating : 4.42/5 ( download)

DOWNLOAD NOW!

Download or read book Routledge Philosophy GuideBook to Berkeley and the Principles of Human Knowledge written by Robert Fogelin and published by Taylor & Francis. This book was released on 2003-09-02 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : George Berkeley
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.67/5 ( download)

DOWNLOAD NOW!

Download or read book A Treatise Concerning the Principles of Human Knowledge written by George Berkeley and published by . This book was released on 1887 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stephen H. Daniel
Publisher : Oxford University Press
ISBN 13 : 0192893890
Total Pages : 351 pages
Book Rating : 4.95/5 ( download)

DOWNLOAD NOW!

Download or read book George Berkeley and Early Modern Philosophy written by Stephen H. Daniel and published by Oxford University Press. This book was released on 2021 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.