Article ID: CBB001213910

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

unapi

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.

...More
Included in

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

Citation URI
https://data.isiscb.org/isis/citation/CBB001213910/

Similar Citations

Article Sieg, Wilfried; (2014)
The Ways of Hilbert's Axiomatics: Structural and Formal (/isis/citation/CBB001213914/)

Article Lupacchini, Rossella; (2014)
Hilbert's Axiomatics as “Symbolic Form”? (/isis/citation/CBB001213908/)

Book Gabriele Lolli; (2016)
Tavoli, sedie, boccali di birra: David Hilbert e la matematica del Novecento (/isis/citation/CBB100106060/)

Article Abrusci, V. Michele; (2014)
On Hilbert's Axiomatics of Propositional Logic (/isis/citation/CBB001213913/)

Article Stillwell, John; (2014)
Ideal Elements in Hilbert's Geometry (/isis/citation/CBB001213909/)

Article Hintikka, Jaakko; (2012)
Which Mathematical Logic is the Logic of Mathematics? (/isis/citation/CBB001214120/)

Article Glas, Eduard; (2000)
Model-based reasoning and mathematical discovery: The Case of Felix Klein (/isis/citation/CBB000110929/)

Article Lorenat, Jemma; (2012)
Not Set in Stone: Nineteenth-Century Geometrical Constructions and the Malfatti Problem (/isis/citation/CBB001212294/)

Book Paolo Zellini; (1999)
Gnomon. Una indagine sul numero (/isis/citation/CBB253354203/)

Book Paolo Zellini; (2010)
Numero e logos (/isis/citation/CBB843348217/)

Book Anderson, M.; Katz, V.; Wilson, R.; (2009)
Who Gave You the Epsilon? And Other Tales of Mathematical History (/isis/citation/CBB001023438/)

Book Alberto Cogliati; (2024)
La geometria non euclidea. Una breve storia dall’antichità a Poincaré (/isis/citation/CBB276091257/)

Article Günther Eder; (2021)
Frege on intuition and objecthood in projective geometry (/isis/citation/CBB221284966/)

Book Rashed, Roshdi; Bellosta, Hélène; (2000)
Ibrāhīm ibn Sinān. Logique et Géométrie au Xe siècle (/isis/citation/CBB000111392/)

Article Novy, Luboš; (2008)
Les relations entre la logique et la mathématique dans l'oeuvre de Bernard Bolzano (/isis/citation/CBB001021148/)

Article Schiefsky, Mark; (2009)
Structures of Argument and Concepts of Force in the Aristotelian Mechanical Problems (/isis/citation/CBB000932571/)

Article Moretti, Alessio; (2014)
Was Lewis Carroll an Amazing Oppositional Geometer? (/isis/citation/CBB001550610/)

Authors & Contributors
Zellini, Paolo
Lorenat, Jemma
Moretti, Alessio
Wilson, R.
Stillwell, John
Sieg, Wilfried
Concepts
Mathematics
Logic
Geometry
Formalization (philosophy)
Philosophy of mathematics
Methodology
Time Periods
19th century
20th century, early
20th century
Ancient
10th century
Places
Germany
Greece
Europe
Mesopotamia
Great Britain
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment