Bentzen, Bruno (2020) What types should not be. Philosophia Mathematica, 28 (1). pp. 60-76. ISSN 0031-8019
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Abstract
In a series of papers Ladyman and Presnell raise an interesting challenge of providing a pre-mathematical justification for homotopy type theory. In response, they propose what they claim to be an informal semantics for homotopy type theory where types and terms are regarded as mathematical concepts. The aim of this paper is to raise some issues which need to be resolved for the successful development of their types-as-concepts interpretation.
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Item Type: | Published Article or Volume | ||||||
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Keywords: | Homotopy type theory; informal semantics; types-as-concepts; | ||||||
Subjects: | Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Proof |
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Depositing User: | Dr. Bruno Bentzen | ||||||
Date Deposited: | 07 May 2021 18:20 | ||||||
Last Modified: | 07 May 2021 18:20 | ||||||
Item ID: | 18992 | ||||||
Journal or Publication Title: | Philosophia Mathematica | ||||||
Publisher: | OUP | ||||||
Official URL: | https://academic.oup.com/philmat/advance-article/d... | ||||||
DOI or Unique Handle: | 10.1093/philmat/nkz014 | ||||||
Subjects: | Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Proof |
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Date: | 2020 | ||||||
Page Range: | pp. 60-76 | ||||||
Volume: | 28 | ||||||
Number: | 1 | ||||||
ISSN: | 0031-8019 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/18992 |
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