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"Lectures on the Philosophy of Mathematics "

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"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.

Hamkins shows, for example, how number systems set the stage for discussions of such philosophical issues as platonism, logicism, and the nature of abstraction. Consideration of the rise of rigor in the calculus leads to a discussion of whether the indispensability of mathematics in science offers grounds for mathematical truth. Sophisticated technical developments in set theory give rise to a necessary engagement with deep philosophical concerns, including the criteria for new mathematical axioms. Throughout, Hamkins offers a clear and engaging exposition that is both accessible and sophisticated, intended for readers whose mathematical backgrounds range from novice to expert."

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Detail Information

Series Title

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Call Number

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Publisher

Paperback : Publisher: The MIT Press., 2021

Collation

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Language

English

ISBN/ISSN

9780262542234

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Mathematics

Specific Detail Info

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Statement of Responsibility

Joel David Hamkins

Other Information

Cataloger

Suwardi

Source

https://mitpress.mit.edu/9780262542234/lectures-on-the-philosophy-of-mathematics/

Validator

Suwardi

Digital Object Identifier (DOI)

https://mitpress.mit.edu/9780262542234/lectures-on-the-philosophy-of-mathematics/

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