Abstract
Philosophy of mathematics has changed considerably during the last few years. The classical distinction between logicism, formalism and intuitionism, a major topic a few decades ago, has become less outstanding. The search for the logical foundations of mathematics belongs to the history of logic and mathematics. There is no more crisis concerning the foundations of mathematics. Conversely, the “fundamentalist” program of research in philosophy of mathematics seems to be currently stagnant. In 1967, Putnam published a celebrated paper, “Mathematics without Foundations”, where he claimed vigorously that:
I don’t think mathematics is unclear; I don’t think mathematics has a crisis in its foundations; indeed, I do not believe mathematics either has or needs ‘foundations’2.
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Echeverría, J. (1996). Empirical Methods in Mathematics. In: Munévar, G. (eds) Spanish Studies in the Philosophy of Science. Boston Studies in the Philosophy of Science, vol 186. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0305-0_2
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