Models of HoTT and the Constructive View of Theories

In Deniz Sarikaya, Deborah Kant & Stefania Centrone (eds.), Reflections on the Foundations of Mathematics. Springer Verlag (2019)
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Abstract

Homotopy Type theory and its Model theory provide a novel formal semantic framework for representing scientific theories. This framework supports a constructive view of theories according to which a theory is essentially characterised by its methods. The constructive view of theories was earlier defended by Ernest Nagel and a number of other philosophers of the past but available logical means did not allow these people to build formal representational frameworks that implement this view.

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Andrei Rodin
Russian Academy of Sciences

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References found in this work

What Scientific Theories Could Not Be.Hans Halvorson - 2012 - Philosophy of Science 79 (2):183-206.
On the idea of a general proof theory.Dag Prawitz - 1974 - Synthese 27 (1-2):63 - 77.
Knowledge How.Jeremy Fantl - 2012 - Stanford Encyclopedia of Philosophy.

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