Rodin, Andrei (2020) Axiomatic Architecture of Scientific Theories. UNSPECIFIED.

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Abstract

The received concepts of axiomatic theory and axiomatic method, which stem from David Hilbert, need a systematic revision in view of more recent mathematical and scientific axiomatic practices, which do not fully follow in Hilbert’s steps and re-establish some older historical patterns of axiomatic thinking in unexpected new forms. In this work I motivate, formulate and justify such a revised concept of axiomatic theory, which for a variety of reasons I call constructive, and then argue that it can better serve as a formal representational tool in mathematics and science than the received concept.

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Item Type:	Other
Creators:	Creators Email ORCID Rodin, Andrei andrei@philomatica.org
Keywords:	axiomatic theory, semantic view of theories, constructive mathematics, univalent foundations
Subjects:	General Issues > Structure of Theories
Depositing User:	Dr. Andrei Rodin
Date Deposited:	23 Jul 2020 08:05
Last Modified:	23 Jul 2020 08:05
Item ID:	17600
Official URL:	http://philomatica.org
Subjects:	General Issues > Structure of Theories
Date:	June 2020
URI:	https://philsci-archive.pitt.edu/id/eprint/17600

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