The reasonable effectiveness of mathematics: Partial structures and the application of group theory to physics
Synthese 125 (1-2):103 - 120 (2000)
| Abstract | Wigner famously referred to the `unreasonable effectiveness' of mathematics in its application to science. Using Wigner's own application of group theory to nuclear physics, I hope to indicate that this effectiveness can be seen to be not so unreasonable if attention is paid to the various idealising moves undertaken. The overall framework for analysing this relationship between mathematics and physics is that of da Costa's partial structures programme. | |||||||||
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Eugene Wigner (1960). The Unreasonable Effectiveness of Mathematics in the Natural Sciences. Communications in Pure and Applied Mathematics 13:1-14.
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Michael Chayut (2001). From the Periphery: The Genesis of Eugene P. Wigner's Application of Group Theory to Quantum Mechanics. Foundations of Chemistry 3 (1):55-78.
Michael Heller (1997). Essential Tension: Mathematics - Physics - Philosophy. Foundations of Science 2 (1):39-52.
Marvin Chester (2002). Is Symmetry Identity? International Studies in the Philosophy of Science 16 (2):111 – 124.
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