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Platonism and Anti-Platonism in Mathematics by Mark Balaguer (Paperback, 2001)
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Balaguer does this by establishing that both platonism and anti-platonism are justifiable views. He does this by establishing that both platonism and anti-platonism are defensible views. "excellent book.exceptionally clear, insightful, and useful critical survey"--The Review of Modern Logic "Platonism and anti-platonism in mathematics is an impressive work.