Celebratio Mathematica — Mac Lane

Complete Bibliography

Works connected to Colin McLarty

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C. McLarty: “Saunders Mac Lane (1909–2005): His mathematical life and philosophical works,” Philos. Math. (3) 13 : 3 (2005), pp. 237–251. With selected bibliography emphasizing Mac Lane’s philosophical writings. MR 2192173 Zbl 1094.01010 article

C. McLarty: “Saunders Mac Lane and the universal in mathematics,” Sci. Math. Jpn. 63 : 1 (2006), pp. 25–29. MR 2202158 Zbl 1099.01513 article

C. McLarty: “The last mathematician from Hilbert’s Göttingen: Saunders Mac Lane as philosopher of mathematics,” Br. J. Philos. Sci. 58 : 1 (2007), pp. 77–112. MR 2301283 Zbl 1122.01017 article

While Saunders Mac Lane studied for his D.Phil in Göttingen, he heard David Hilbert’s weekly lectures on philosophy, talked philosophy with Hermann Weyl, and studied it with Moritz Geiger. Their philosophies and Emmy Noether’s algebra all influenced his conception of category theory, which has become the working structure theory of mathematics. His practice has constantly affirmed that a proper large-scale organization for mathematics is the most efficient path to valuable specific results — while he sees that the question of which results are valuable has an ineliminable philosophic aspect. His philosophy relies on the ideas of truth and existence he studied in Göttingen. His career is a case study relating naturalism in philosophy of mathematics to philosophy as it naturally arises in mathematics.