Ontology and the Foundations of Mathematics

Talking Past Each Other

Penelope Rush (Autor)

Buch | Softcover

54 Seiten

2022
Cambridge University Press (Verlag)
978-1-108-71693-2 (ISBN)

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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.

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

Erscheinungsdatum	31.01.2022
Reihe/Serie	Elements in the Philosophy of Mathematics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	150 x 229 mm
Gewicht	90 g
Themenwelt	Mathematik / Informatik ► Mathematik
Themenwelt	Naturwissenschaften
ISBN-10	1-108-71693-8 / 1108716938
ISBN-13	978-1-108-71693-2 / 9781108716932
Zustand	Neuware