Lectures On The Philosophy Of Mathematics
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Lectures on the Philosophy of Mathematics
Author | : Joel David Hamkins |
Publsiher | : MIT Press |
Total Pages | : 350 |
Release | : 2021-03-09 |
Genre | : Mathematics |
ISBN | : 9780262542234 |
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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Lectures on the Philosophy of Mathematics
Author | : Joel David Hamkins |
Publsiher | : MIT Press |
Total Pages | : 350 |
Release | : 2021-02-02 |
Genre | : Mathematics |
ISBN | : 9780262362658 |
Download Lectures on the Philosophy of Mathematics Book in PDF, Epub and Kindle
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Wittgenstein s Lectures on the Foundations of Mathematics Cambridge 1939
Author | : Ludwig Wittgenstein |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : OCLC:1391903096 |
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LOGIC Lecture Notes for Philosophy Mathematics and Computer Science
Author | : Andrea Iacona |
Publsiher | : Springer Nature |
Total Pages | : 228 |
Release | : 2021-05-10 |
Genre | : Philosophy |
ISBN | : 9783030648114 |
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This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.
An Introduction to the Philosophy of Mathematics
Author | : Mark Colyvan |
Publsiher | : Cambridge University Press |
Total Pages | : 199 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 9780521826020 |
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A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Mathematics and the Historian s Craft
Author | : Michael Kinyon,Glen van Brummelen |
Publsiher | : Springer Science & Business Media |
Total Pages | : 358 |
Release | : 2006-06-18 |
Genre | : Mathematics |
ISBN | : 9780387282725 |
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The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility
Philosophy of Mathematics and Natural Science
Author | : Hermann Weyl |
Publsiher | : Princeton University Press |
Total Pages | : 338 |
Release | : 2009-05-17 |
Genre | : Mathematics |
ISBN | : 0691141207 |
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History of mathematics.
Philosophy of Mathematics
Author | : Paul Benacerraf,Hilary Putnam |
Publsiher | : Cambridge University Press |
Total Pages | : 135 |
Release | : 1984-01-27 |
Genre | : Science |
ISBN | : 9781107268135 |
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The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.