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(2011) Foundational theories of classical and constructive mathematics, Dordrecht, Springer.
The view of set theory as a foundation for mathematics emerged early in the thinking of the originators of the theory and is now a pillar of contemporary orthodoxy. As such, it is enshrined in the opening pages of most recent textbooks; to take a few illustrative examples: All branches of mathematics are developed, consciously or unconsciously, in set theory. (Levy, 1979, p. 3) Set theory is the foundation of mathematics. All mathematical concepts are defined in terms of the primitive notions of set and membership … From [the] axioms, all known mathematics may be derived. (Kunen, 1980, p. xi).
Publication details
DOI: 10.1007/978-94-007-0431-2_3
Full citation:
Maddy, P. (2011)., Set theory as a foundation, in G. Sommaruga (ed.), Foundational theories of classical and constructive mathematics, Dordrecht, Springer, pp. 85-96.
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