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Axiomatic Architecture of Scientific Theories

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:
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Rodin, Andreiandrei@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-dev.library.pitt.edu/id/eprint/17600

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