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Foundations of Applied Mathematics I

Ketland, Jeffrey (2020) Foundations of Applied Mathematics I. [Preprint]

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Abstract

This paper aims to study the foundations of applied mathematics, using a formalized base theory for applied mathematics: $\ZFCA_{\sigma}$ (Zermelo-Fraenkel set theory (with Choice) with atoms, where the subscript used refers to a signature specific to the application. Examples are given, illustrating the following five features of applied mathematics: comprehension principles, application conditionals, representation hypotheses, transfer principles and abstract equivalents.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Ketland, Jeffreyjeffreyketland@gmail.com0000-0002-5128-4387
Additional Information: Penultimate draft. Forthcoming in Synthese
Keywords: Set theory with atoms; applicability of mathematics
Subjects: Specific Sciences > Mathematics > Applicability
Specific Sciences > Mathematics > Logic
General Issues > Structure of Theories
Depositing User: Dr Jeffrey Ketland
Date Deposited: 23 Nov 2020 19:46
Last Modified: 23 Nov 2020 19:46
Item ID: 18432
Subjects: Specific Sciences > Mathematics > Applicability
Specific Sciences > Mathematics > Logic
General Issues > Structure of Theories
Date: 23 November 2020
URI: http://philsci-archive.pitt.edu/id/eprint/18432

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