Lectures on the Philosophy of Mathematics
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ISBN-13:
9780262542234
Veröffentl:
2021
Erscheinungsdatum:
09.03.2021
Seiten:
329
Autor:
Joel David Hamkins
Gewicht:
658 g
Format:
222x177x22 mm
Sprache:
Englisch
Beschreibung:
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.
Preface xviiAbout the Author xix1 Numbers 12 Rigor 533 Infinity 874 Geometry 1195 Proof 1576 Computability 1937 Incompleteness 2258 Set Theory 225Bibliography 303Notation Index 315Subject Index 319
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