The Logic Of Infinity
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The Logic Of Infinity
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Author : Barnaby Sheppard
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-24
The Logic Of Infinity written by Barnaby Sheppard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.
The Logic Of Infinity
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Author : Henri Poincare
language : en
Publisher: BEYOND BOOKS HUB
Release Date : 2024-07-28
The Logic Of Infinity written by Henri Poincare and has been published by BEYOND BOOKS HUB this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-28 with categories.
Embark on a journey through the concept of infinity with Henri Poincare's illuminating book, "The Logic of Infinity." This book explores the mathematical foundations and philosophical implications of infinity, offering readers a comprehensive understanding of this intriguing topic. Poincare's clear explanations and thoughtful analysis make this complex subject approachable and fascinating. Discover the endless possibilities within The Logic of Infinity and expand your intellectual horizons.
Levels Of Infinity
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Author : Hermann Weyl
language : en
Publisher: Courier Corporation
Release Date : 2013-09-26
Levels Of Infinity written by Hermann Weyl and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.
Abstraction And Infinity
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Author : Paolo Mancosu
language : en
Publisher: Oxford University Press
Release Date : 2016
Abstraction And Infinity 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 2016 with Mathematics categories.
Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
The Evolution Of Logic
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Author : W. D. Hart
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-23
The Evolution Of Logic written by W. D. Hart and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-23 with Philosophy categories.
Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.
Understanding The Infinite
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Author : Shaughan Lavine
language : en
Publisher: Harvard University Press
Release Date : 1994
Understanding The Infinite written by Shaughan Lavine and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
The Logic Of Hegel
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Author : Georg Wilhelm Friedrich Hegel
language : en
Publisher:
Release Date : 1892
The Logic Of Hegel written by Georg Wilhelm Friedrich Hegel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 with Logic categories.
Strict Finitism And The Logic Of Mathematical Applications
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Author : Feng Ye
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-06
Strict Finitism And The Logic Of Mathematical Applications written by Feng Ye 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 2011-07-06 with Science categories.
This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity). The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It also shows that the applications of those classical theories to the finite physical world can be translated into the applications of strict finitism, which demonstrates the applicability of those classical theories without assuming the literal truth of those theories or the reality of infinity. Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.
Quality And The Birth Of Quantity In Hegel S Science Of Logic
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Author : Stephen Houlgate
language : en
Publisher: Bloomsbury Publishing
Release Date : 2021-10-21
Quality And The Birth Of Quantity In Hegel S Science Of Logic written by Stephen Houlgate and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-21 with Philosophy categories.
Hegel on Being provides an authoritative treatment of Hegel's entire logic of being. Stephen Houlgate presents the Science of Logic as an important and neglected text within Hegel's oeuvre that should hold a more significant place in the history of philosophy. In the Science of Logic, Hegel set forth a distinctive conception of the most fundamental forms of being through ideas on quality, quantity and measure. Exploring the full trajectory of Hegel's logic of being from quality to measure, this two-volume work by a preeminent Hegel scholar situates Hegel's text in relation to the work of Plato, Aristotle, Descartes, Spinoza, Kant, and Frege. Volume I: Quality and the Birth of Quantity in Hegel's 'Science of Logic' covers all material on the purpose and method of Hegel's dialectical logic and charts the crucial transition from the concept of quality to that of quantity, as well as providing an original account of Hegel's critique of Kant's antinomies across two chapters.