Name: Mathematics and Metaphilosophy (Elements in the Philosophy of Mathematics) (en Inglés)
Price: 21.47 EUR
Availability: InStock
Author: Clarke-Doane, Justin
ISBN: 9781108995405

portada Mathematics and Metaphilosophy (Elements in the Philosophy of Mathematics) (en Inglés)

Formato

Libro Físico

Autor

Justin Clarke-Doane

Editorial

Cambridge University Press

Año

2022

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 0.4 cm

Peso

0.10 kg.

ISBN13

9781108995405

Categorías

Filosofía de la ciencia
Influencia de la ciencia y la tecnología

Mathematics and Metaphilosophy (Elements in the Philosophy of Mathematics) (en Inglés)

Justin Clarke-Doane (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Mathematics and Metaphilosophy (Elements in the Philosophy of Mathematics) (en Inglés)"

This Element discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the challenge to explain the (defeasible) justification of our mathematical beliefs ('the justificatory challenge'), arises insofar as disagreement over axioms bottoms out in disagreement over intuitions. And it argues that the challenge to explain their reliability ('the reliability challenge'), arises to the extent that we could have easily had different beliefs. The Element shows that mathematical facts are not, in general, empirically accessible, contra Quine, and that they cannot be dispensed with, contra Field. However, it argues that they might be so plentiful that our knowledge of them is unmysterious. The Element concludes with a complementary 'pluralism' about modality, logic and normative theory, highlighting its surprising implications. Metaphysically, pluralism engenders a kind of perspectivalism and indeterminacy. Methodologically, it vindicates Carnap's pragmatism, transposed to the key of realism.