Ontology and the Foundations of Mathematics - Talking Past Each Other (Paperback, New Ed)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Elements in the Philosophy of Mathematics
Release date:	February 2022
Authors:	Penelope Rush
Dimensions:	229 x 150 x 4mm (L x W x T)
Format:	Paperback - Trade
Pages:	75
Edition:	New Ed
ISBN-13:	978-1-108-71693-2
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Science & Mathematics > Science: general issues > Philosophy of science
LSN:	1-108-71693-8
Barcode:	9781108716932

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