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OALib Journal期刊
ISSN: 2333-9721
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Naturalismo, ficción y objetos matemáticos

Keywords: fictionalism, indispensability, mathematics, naturalism, ontology.

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Abstract:

quine's platonism regarding mathematical objects has been countered by fictionalist interpretations of mathematical discourse. some of these interpretations are revisionist, while others are hermeneutic. in this essay i argue that all three of the philosophical positions mentioned are tenable, as the choice between them comes down to very fundamental philosophical intuitions concerning naturalism. to show this, i closely examine these positions, paying special attention the hermeneutic fictionalism, in account of it being the most novel of the three. i also suggest that this position is compatible with -and can become stronger if it is inserted in- a pluralistic conception of reality like the one advocated by william james.

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