AI Article Synopsis
- * Key figures in the conflict included modernists like David Hilbert, who supported set theory, and counter-moderns like L.E.J. Brouwer, who advocated for alternative foundational principles through intuitionism.
- * The author reassesses the so-called "foundations crisis," suggesting it was less about intellectual disputes and more about internal power struggles within the German mathematical community, specifically regarding the control of a journal.
Article Abstract
Epistemological issues associated with Cantorian set theory were at the center of the foundational debates from 1900 onward. Hermann Weyl, as a central actor, saw this as a smoldering crisis that burst into flames after World War I. The historian Herbert Mehrtens argued that this "foundations crisis" was part of a larger conflict that pitted moderns, led by David Hilbert, against various counter-moderns, who opposed the promotion of set theory and trends toward abstract theories. Among counter-moderns, L.E.J. Brouwer went a step further by proposing new foundational principles based on his philosophy of intuitionism. Meanwhile, Felix Hausdorff emerged as a leading proponent of the new modern style. In this essay, I offer a reassessment of the foundations crisis that stresses the marginal importance of the various intellectual issues involved. Instead, I offer an interpretation that focuses on tensions within the German mathematical community that led to a dramatic power struggle for control of the journal
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