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 | ||||||
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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 |
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Depositing User: | Dr Jeffrey Ketland | ||||||
Date Deposited: | 05 Dec 2020 16:37 | ||||||
Last Modified: | 05 Dec 2020 16:37 | ||||||
Item ID: | 18489 | ||||||
Subjects: | Specific Sciences > Mathematics > Applicability Specific Sciences > Mathematics > Logic General Issues > Structure of Theories |
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Date: | 23 November 2020 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/18489 |
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Foundations of Applied Mathematics I. (deposited 23 Nov 2020 19:46)
- Foundations of Applied Mathematics I. (deposited 05 Dec 2020 16:37) [Currently Displayed]
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