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Importance and Legacy formatIsbn:Hardcover - 9783110150544 -- 5 PROBLEMS IN THEFrontmatter Introduction: Frege on the Foundations of Arithmetic and Geometry Schirn, Matthias Part I: Logic and Philosophy of Mathematics 1. On Positing Mathematical Objects Resnik, Michael D. 2. Frege versus Cantor and Dedekind: On the Concept of Number Tait, W. W. 3. On Frege's Introduction of Cardinal Numbers as Logical Objects Schirn, Matthias 4. Nominalism and the Contingency of Abstract Objects Hale, Bob Wright, Crispin 5. Definition by