Ontology and the foundations of mathematics : talking past each other

Author(s)

    • Rush, Penelope

Bibliographic Information

Ontology and the foundations of mathematics : talking past each other

Penelope Rush

(Cambridge elements, . Elements in philosophy of mathematics)

Cambridge University Press, 2022

  • : pbk

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Note

Includes bibliographical references (p. [45]-46)

Description and Table of Contents

Description

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.

Table of Contents

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

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Details

  • NCID
    BC10887371
  • ISBN
    • 9781108716932
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    46 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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