Knowledge of Abstract Objects in Physics and Mathematics

Acta Analytica 32 (4):397-409 (2017)
Authors
Michael Shaffer
St. Cloud State University
Abstract
In this paper a parallel is drawn between the problem of epistemic access to abstract objects in mathematics and the problem of epistemic access to idealized systems in the physical sciences. On this basis it is argued that some recent and more traditional approaches to solving these problems are problematic.
Keywords Abstract Objexcts  Knowledge  Idealization  Mathemarics
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DOI 10.1007/s12136-017-0318-3
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References found in this work BETA

Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
Realism, Mathematics and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

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