Mathematics and Metaphilosophy by Justin Clarke-Doane

Mathematics and Metaphilosophy by Justin Clarke-Doane

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.

SKU	Non disponible
ISBN 13	9781108995405
ISBN 10	1108995403
Titre	Mathematics and Metaphilosophy
Auteur	Justin Clarke-Doane
Série	Elements In The Philosophy Of Mathematics
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	2022-06-30
Nombre de pages	75
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible