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- W2504336564 abstract "Inconsistent mathematics has a special place in the history of philosophy. The realisation, at the end of the nineteenth century, that a mathematical theory—naïve set theory—was inconsistent prompted radical changes to mathematics, pushing research in new directions and even resulted in changes to mathematical methodology. The resulting work in developing a consistent set theory was exciting and saw a departure from the existing practice of looking for self-evident axioms. Instead, following Russell (1907) and Gödel (1947), new axioms were assessed by their fruits.1 Set theory shook off its foundationalist methodology. This episode is what philosophers live for. Philosophers played a central role in revealing the inconsistency of naïve set theory and played pivotal roles as new set theories took shape. This may have been philosophy’s finest hour.2" @default.
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- W2504336564 date "2009-01-01" @default.
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- W2504336564 title "Applying Inconsistent Mathematics" @default.
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- W2504336564 doi "https://doi.org/10.1057/9780230245198_8" @default.
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