Name: Mathematics and its Logics: Philosophical Essays (en Inglés)
SKU: 53428877
Price: 134.01 USD
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Author: Geoffrey Hellman

portada Mathematics and its Logics: Philosophical Essays (en Inglés)

Mathematics and its Logics: Philosophical Essays (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Geoffrey Hellman

Año

2021

Idioma

Inglés

N° páginas

288

Encuadernación

Tapa Dura

ISBN13

9781108494182

Categorías

Lógica matemática

Mathematics and its Logics: Philosophical Essays (en Inglés)

Geoffrey Hellman (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Mathematics and its Logics: Philosophical Essays (en Inglés)"

In these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refine and extend Hellman's modal-structuralist account of mathematics, developing a height-potentialist view of higher set theory which recognizes indefinite extendability of models and stages at which sets occur. In the first of three new essays written for this volume, Hellman shows how extendability can be deployed to derive the axiom of Infinity and that of Replacement, improving on earlier accounts; he also shows how extendability leads to attractive, novel resolutions of the set-theoretic paradoxes. Other essays explore advantages and limitations of restrictive systems - nominalist, predicativist, and constructivist. Also included are two essays, with Solomon Feferman, on predicative foundations of arithmetic.