Philosophy Of Mathematics And Natural Science by Hermann Weyl

A philosophical investigation into the foundations of mathematics and their role in the natural sciences. It surveys intuitionism, formalism, and logicism; analyzes infinity, the continuum, and proof; and connects these debates to developments in relativity and quantum theory, emphasizing the guiding roles of geometry and symmetry. The result is a nuanced account of how abstract structures both enable and constrain scientific knowledge, and of the limits and meaning of rigor in understanding nature.

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