Realism in Mathematics
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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Review: Realism in MathematicsUser Review - Jon Choi - Goodreads
Argues Maddy's quasi-Platonist view of mathematics, which she calls "set theoretic Realism". Basically a defence of the ontological and epistemological challenges levelled against the Realist position ... Read full review