"We are still in the aftermath of the great foundationist controversies of the early twentieth century. Formalism, and , each left its trace in the form of a certain mathematical research program that ultimately made its own contribution to the corpus of mathematics... As philosophical programs, as attempts to establish a secure foundation for mathematical knowledge, all have run their course and petered out or dried up. Yet there remains, as a residue, an unstated consensus that the philosophy of mathematics is research on the foundations of mathematics. If I find [that] uninteresting or irrelevant, I conclude that I'm simply not interested in philosophy (thereby depriving myself of any chance of confronting my own uncertainties about the meaning, nature, purpose or significance of mathematical research)."
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, "Introducing Imre Lakatos", Mathematical Intelligencer (1978) Vol. 1, pp. 148-151.
https://en.wikiquote.org/wiki/Philosophy_of_mathematics
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Philosophy of mathematics
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