What Types Should Not Be

Philosophia Mathematica 28 (1):60-76 (2020)
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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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Bruno Bentzen
Zhejiang University

Citations of this work

Sense, reference, and computation.Bruno Bentzen - 2020 - Perspectiva Filosófica 47 (2):179-203.
On Different Ways of Being Equal.Bruno Bentzen - 2020 - Erkenntnis 87 (4):1809-1830.

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References found in this work

Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
The collected papers of Gerhard Gentzen.Gerhard Gentzen - 1969 - Amsterdam,: North-Holland Pub. Co.. Edited by M. E. Szabo.

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