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Article ID: CBB001213910

The “Axiomatic Method” and Its Constitutive Role in Physics (2014)

Perspectives on Science
Volume: 22, no. 1
Issue: 1
Pages: 56-79

DOI: 10.1162/POSC_a_00118

Publication Date: 2014
Edition Details: Part of a special issue, “Hilbert's Axiomatics---Geometry, Physics, Logic”
Language: English

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Methodology Logic Geometry Physics Mathematics Formalization (philosophy)

Using geometry as the primary example of the axiomatic method, I will investigate the role of the axiomatic method in physics. I will argue that, while there are important parallels, there are also significant differences between the constitutive roles of the axiomatic method in the two disciplines. The main achievement of the axiomatic method in geometry is a sweeping clarification of the logical dependence and independence of the axioms with respect to each other. In physics, however, the main focuses of attention are the questions of the consistency of different assumptions from distinct fields and the Lückenlosigkeit of an alleged deduction of a central theorem like Boltzmann's equation.

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Article Lupacchini, Rossella (2014) Hilbert's Axiomatics as “Symbolic Form”?. Perspectives on Science (pp. 1-34). unapi

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