著者

田中 一之

出版者

日本科学哲学会

雑誌

科学哲学 (ISSN:02893428)

巻号頁・発行日

vol.40, no.2, pp.13-21, 2007-12-25 (Released:2009-05-29)

参考文献数

20

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Reverse Mathematics is an ongoing research program on foundations of mathematics, whose aim is to find out what kinds of logical or set-theoretical hypotheses are necessary and sufficient to prove a theorem of ordinary mathematics. In this paper, we show that the fundamental theorem of algebra holds within RCA0, a weakest base theory of this program, by way of a combination of a nonstandard method and a conservation result on weak König's lemma.