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Ontology and the Foundations of Mathematics

Ontology and the Foundations of Mathematics

Talking Past Each Other

by Penelope Rush
Paperback
Publication Date: 10/02/2022

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This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist. It also argues that an effective defence of just such a difference needs a commitment to the independence of mathematical reality, which in turn involves a commitment to the ontological access problem - the problem of how knowable mathematical truths are identifiable with a reality independent of us as knowers. Specifically, if the only access problem acknowledged is the epistemological problem - i.e. the problem of how we come to know mathematical truths - then nothing is gained by the realist notion of an independent reality and in effect, nothing distinguishes realism from anti-realism in mathematics.
ISBN:
9781108716932
9781108716932
Category:
Philosophy of mathematics
Format:
Paperback
Publication Date:
10-02-2022
Publisher:
Cambridge University Press
Country of origin:
United Kingdom
Pages:
75
Dimensions (mm):
229x150x4mm
Weight:
0.09kg

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