Concerning the origin of the term naive set theory, Jeff Miller says, "Naïve set theory (contrasting with axiomatic set theory) was used occasionally in the 1940s and became an established term in the 1950s. It appears in Hermann Weyl's review of P. A. Schilpp (ed) The Philosophy of Bertrand Russell in the American Mathematical Monthly, 53., No. 4. (1946), p. 210 and Laszlo Kalmar's review of The Paradox of Kleene and Rosser in Journal of Symbolic Logic, 11, No. 4. (1946), p. 136. (JSTOR)." [1] (页面存档备份,存于互联网档案馆) The term was later popularized by Paul Halmos' book, Naive Set Theory (1960).
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Concerning the origin of the term naive set theory, Jeff Miller says, "Naïve set theory (contrasting with axiomatic set theory) was used occasionally in the 1940s and became an established term in the 1950s. It appears in Hermann Weyl's review of P. A. Schilpp (ed) The Philosophy of Bertrand Russell in the American Mathematical Monthly, 53., No. 4. (1946), p. 210 and Laszlo Kalmar's review of The Paradox of Kleene and Rosser in Journal of Symbolic Logic, 11, No. 4. (1946), p. 136. (JSTOR)." [1] (页面存档备份,存于互联网档案馆) The term was later popularized by Paul Halmos' book, Naive Set Theory (1960).