Ontology and the Foundations of Mathematics (eBook)

Talking Past Each Other

Penelope Rush (Autor)

eBook Download: PDF

2022
Cambridge University Press (Verlag)
978-1-108-58205-6 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 10.2.2022
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften
• ISBN-10: 1-108-58205-2 / 1108582052
• ISBN-13: 978-1-108-58205-6 / 9781108582056