Philosophy And Mathematics From Plato To The Present
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Philosophy And Mathematics From Plato To The Present
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Author :
language : en
Publisher:
Release Date : 1973
Philosophy And Mathematics From Plato To The Present written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Philosophy And Mathematics From Plato To The Present
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Author :
language : en
Publisher:
Release Date : 1973
Philosophy And Mathematics From Plato To The Present written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Thinking About Mathematics
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Author : Stewart Shapiro
language : en
Publisher: OUP Oxford
Release Date : 2000-07-13
Thinking About Mathematics written by Stewart Shapiro and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-13 with Philosophy categories.
Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.
Plato S Philosophy Of Mathematics
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Author : Anders Wedberg
language : en
Publisher: Praeger
Release Date : 1977
Plato S Philosophy Of Mathematics written by Anders Wedberg and has been published by Praeger this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
The Essence Of Numbers
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Author : Frédéric Patras
language : en
Publisher: Springer
Release Date : 2020-10-07
The Essence Of Numbers written by Frédéric Patras and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Mathematics categories.
This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements, Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves.
Plato S Philosophy Of Mathematics
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Author : Paul Pritchard
language : en
Publisher:
Release Date : 1995
Plato S Philosophy Of Mathematics written by Paul Pritchard 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.
Philosophy Of Mathematics
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Author : Thomas Bedürftig
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-10-26
Philosophy Of Mathematics written by Thomas Bedürftig 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 2018-10-26 with Mathematics categories.
The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection
Mathematics A Concise History And Philosophy
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Author : W.S. Anglin
language : en
Publisher: Springer Science & Business Media
Release Date : 1994
Mathematics A Concise History And Philosophy written by W.S. Anglin 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 1994 with Mathematics categories.
This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.
Philosophy Of Mathematics
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Author : David Bostock
language : en
Publisher: John Wiley & Sons
Release Date : 2009-03-09
Philosophy Of Mathematics written by David Bostock and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Mathematics categories.
Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals
Philosophy Of Mathematics In Antiquity And In Modern Times
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Author : Ulrich Felgner
language : en
Publisher: Springer Nature
Release Date : 2023-07-12
Philosophy Of Mathematics In Antiquity And In Modern Times written by Ulrich Felgner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-12 with Mathematics categories.
»Philosophy of Mathematics« is understood, in this book, as an effort to clarify such questions that mathematics itself raises but cannot answer with its own methods. These include, for example, questions about the ontological status of mathematical objects (e.g., what is the nature of mathematical objects?) and the epistemological status of mathematical theorems (e.g., from what sources do we draw when we prove mathematical theorems?). The answers given by Plato, Aristotle, Euclid, Descartes, Locke, Leibniz, Kant, Cantor, Frege, Dedekind, Hilbert and others will be studied in detail. This will lead us to deep insights, not only into the history of mathematics, but also into the conception of mathematics as it is commonly held in the present time. The book is a translation from the German, however revised and considerably expanded. Various chapters have been completely rewritten.