# The Effectiveness of Mathematics in Physics of the Unknown

- Publication Year:
- 2017

- Repository URL:
- http://philsci-archive.pitt.edu/id/eprint/13179

- Author(s):

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##### preprint description

If physics is a science that unveils the fundamental laws of nature, then the appearance of mathematical concepts in its language can be surprising or even mysterious. This was Eugene Wigner's argument in 1960. I show that another approach to physical theory accommodates mathematics in a perfectly reasonable way. To explore unknown processes or phenomena, one builds a theory from fundamental principles, employing them as constraints within a general mathematical framework. The rise of such theories of the unknown, which I call blackbox models, drives home the unsurprising effectiveness of mathematics. I illustrate it on the examples of Einstein's principle theories, the $S$-matrix approach in quantum field theory, effective field theories, and device-independent approaches in quantum information.