Conditions on the Use of the One-dimensional Heat Equation

Abstract

This paper explores the conditions under which scientists are warranted in adding the one-dimensional heat equation to their theories and then using the equation to describe particular physical situations. Summarizing these derivation and application conditions motivates an account of idealized scientific representation that relates the use of mathematics in science to interpretative questions about scientific theories

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Mathematical formalisms in scientific practice: From denotation to model-based representation.Axel Gelfert - 2011 - Studies in History and Philosophy of Science Part A 42 (2):272-286.
Modeling reality.Christopher Pincock - 2011 - Synthese 180 (1):19 - 32.

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