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Knowledge Transfer, Templates, and the Spillovers

Lin, Chia-Hua (2021) Knowledge Transfer, Templates, and the Spillovers. [Preprint]

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Abstract

Mathematical models and their modeling frameworks developed to advance knowledge in one discipline are sometimes sourced to answer questions or solve problems in another discipline. Studying this aspect of cross-disciplinary transfer of knowledge objects, philosophers of science have weighed in on the question of whether knowledge about how a mathematical model is previously applied in one discipline is necessary for the success of reapplying said model in a different discipline. However, not much has been said about whether the answer to that epistemological question applies to the reapplication of a modeling framework. More generally, regarding the nature of the production of knowledge in science, a metaphysical question remains to be explored whether historical contingencies associated with a mathematical construct have a genuine impact on the nature—as opposed to sociological practices or individual psychology—of advancing scientific knowledge with said construct. Focusing on this metaphysical question, this paper analyzes the use of mathematical logic in the development of the Chomsky hierarchy and subsequent reapplications of said hierarchy; with these examples, this paper develops the notion of “spillovers” as a way to detect cross-disciplinary justifications for better understanding the relations between reapplications of the same mathematical construct across disciplines.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Lin, Chia-Huaclin.chiahua@gmail.com0000-0002-5959-0741
Keywords: knowledge transfer; formal templates; model templates; the Chomsky hierarchy; cross-disciplinary applications; modeling frameworks
Subjects: General Issues > History of Philosophy of Science
General Issues > Philosophers of Science
Depositing User: Dr. Chia-Hua Lin
Date Deposited: 16 Oct 2021 01:59
Last Modified: 16 Oct 2021 01:59
Item ID: 19692
Subjects: General Issues > History of Philosophy of Science
General Issues > Philosophers of Science
Date: 13 October 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19692

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