The language of nature is mathematics—but which mathematics? And what nature?

Proceedings of the Aristotelian Society 98 (3):241–261 (1998)
In theoretical physics the physical states of systems are represented by components of mathematical structures. This paper explores three ways in which the representation of states by mathematics can give rise to foundational problems, sometimes on the side of the mathematics and sometimes on the side of understanding what the physical states are that the mathematics represents, that is on the side of interpreting the theory. Examples are given from classical mechanics, quantum mechanics and statistical mechanics
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