Oxford University Prress (1990)
| Abstract |
Mathematicians tend to think of themselves as scientists investigating the features of real mathematical things, and the wildly successful application of mathematics in the physical sciences reinforces this picture of mathematics as an objective study. For philosophers, however, this realism about mathematics raises serious questions: What are mathematical things? Where are they? How do we know about them? Offering a scrupulously fair treatment of both mathematical and philosophical concerns, Penelope Maddy here delineates and defends a novel version of mathematical realism. She answers the traditional questions and poses a challenging new one, refocusing philosophical attention on the pressing foundational issues of contemporary mathematics.
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| Keywords | Mathematics Philosophy |
| Categories | (categorize this paper) |
| Reprint years | 1992, 1993 |
| Buy this book | $47.96 new (10% off) $53.00 from Amazon Amazon page |
| Call number | QA8.4.M33 1990 |
| ISBN(s) | 019824035X 9780198240358 0198244525 |
| DOI | 10.2307/2186046 |
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Chapters BETA
Perception and Intuition
Begins with a presentation and elaboration of Benacerraf's epistemic challenge to realism: how can we gain knowledge of an acausal world of non‐spatio‐temporal abstracts? I then outline a theory of perception based in part on neurological theories of Hebb and developmental evidence from Pi... see more
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Citations of this work BETA
The Dynamical Hypothesis in Cognitive Science.Tim van Gelder - 1998 - Behavioral and Brain Sciences 21 (5):615-28.
An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Stucture.James Franklin - 2014 - Palgrave MacMillan.
Relativity and the Causal Efficacy of Abstract Objects.Tim Juvshik - 2020 - American Philosophical Quarterly 57 (3).
View all 214 citations / Add more citations
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