Unlikelihood of factionalism
Fictionalism as a nominalistic philosophy of mathematics can be considered as a direct antitheses to the Platonism. The latter asserted the existence of abstract objects and objectivity of mathematical truths about them. Fictionalism, on the other hand, considers the literal accounting of mathematical propositions as a false one because fictionalism denies the existence of mathematical objects. As a consequence the direct accounting have to be replaced with metaphorical reading. Some arguments for implausibility of fictionalism are suggested.
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Keywords
semantics, metaphor, abstract objects, mathematical truth, Platonism, factionalism, nominalism, семантика, метафора, математические объекты, математическая истина, платонизм, фикционализм, номинализмAuthors
| Name | Organization | |
| Tselishchev Vitaly V. | Institute of Philosophy and Law, Siberian Branch of Russian Academy of Science (Novosibirsk) | leitval@gmail.com |
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