Ontology and the Foundations of Mathematics : Talking Past Each Other EPUB
by Penelope Rush
Part of the Elements in the Philosophy of Mathematics series
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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.
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- Format:EPUB
- Publisher:Cambridge University Press
- Publication Date:10/02/2022
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- ISBN:9781108626569
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Information
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Download Now
- Format:EPUB
- Publisher:Cambridge University Press
- Publication Date:10/02/2022
- Category:
- ISBN:9781108626569
