Penelope Rush

Ontology and the Foundations of Mathematics (eBook, ePUB)

Talking Past Each Other

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 31. Januar 2022
• Englisch
• ISBN-13: 9781108626569
• Artikelnr.: 66178769

Inhaltsangabe

1. What are we Talking about?
2. Inter-translatability
3. Two Access Problems
4. Independence
5. Justification.