Article ID: CBB001213910

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


Majer, Ulrich (Author)

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

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

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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Authors & Contributors
Glas, Eduard
Bellosta, Hélène
Rashed, Roshdi
Gandon, Sébastien
Greaves, Mark
Schiefsky, Mark J.
Perspectives on Science
History and Philosophy of Logic
Studies in History and Philosophy of Science
Revue d'Histoire des Mathématiques
Early Science and Medicine: A Journal for the Study of Science, Technology and Medicine in the Pre-modern Period
Archives Internationales d'Histoire des Sciences
Brill Academic
CSLI Publications
Oxford University Press
University of Pittsburgh
Raffaello Cortina Editore
Birkhäuser Basel
Formalization (philosophy)
Philosophy of mathematics
Hilbert, David
Klein, Felix
Russell, Bertrand Arthur William
Whitehead, Alfred North
Time Periods
19th century
20th century, early
20th century
10th century
Great Britain

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