- 著者
-
Joseph Vidal-Rosset
- 出版者
- The Philosophy of Science Society, Japan
- 雑誌
- 科学哲学 (ISSN:02893428)
- 巻号頁・発行日
- vol.33, no.1, pp.69-80, 2000-05-15 (Released:2009-05-29)
- 参考文献数
- 53
This paper concerns Quine's classification of philosophies of mathematics as sketched in "On what there is" and offers a new reading of Quine's view. In his famous paper Quine defines three positions: Realism, Conceptualism, and Nominalism. Each of them, he says, has its modern expression, respectively, in Logicism, Intuitionism, and Formalism. According to Quine these foundational positions can be accepted or rejected on a clear and objective basis, according to their distinctive ontological commitments. Consistent with his own criterion for ontological commitment (buttressed by his view on impredicative definitions), Quine adopts the Realist (or the Platonist) position in mathematics. Later, it is shown that genuine Intuitionism is not definable by Quine but is easily defined in Vuillemin's classification scheme (in What Are Philosophical Systems? C. U. P., 1986).