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Structuralism in the philosophy of mathematics (CROSBI ID 255169)

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Trobok, Majda Structuralism in the philosophy of mathematics // Synthesis philosophica, 15 (2000), 1; 65-75

Podaci o odgovornosti

Trobok, Majda

engleski

Structuralism in the philosophy of mathematics

Structuralism in the philosophy of mathematics is the doctrine according to which mathematics is about structures. The paper concerns itself with the question of whether or not structuralism, which (at least for some versions) can be treated as a sort of non-traditional Platonism, solves problems that Platonism is concerned with: the problem of indeterminacy and the epistemological problem. The paper is divided in five parts: the first one-the introduction, the second one is dedicated to different versions of structuralism, the third part deals with the ontology, both of mathematical objects and structures themselves, the fourth part is concerned with the problem of indeterminacy and structuralism’s answer to it and the last one about the epistemological problem for Platonism and the way structuralism tries to solve it. The parts three, four and five contain the author’s attempted objections and criticism. The author tries to show that structuralism does not give satisfactory answers to the problems of Platonism in the philosophy of mathematics

structuralism, mathematics, non-traditional platonism

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Podaci o izdanju

15 (1)

2000.

65-75

objavljeno

0352-7875

1848-2317

Povezanost rada

Filozofija