Colin McLarty

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Colin McLarty

Colin McLarty (born July 12, 1951 in Lancaster, Pennsylvania) is an American mathematical logician, philosopher and mathematician.

McLarty studied mathematics at the Case Institute of Technology (later Case Western) with a bachelor's degree in 1972 and mathematics with a master's degree in 1975 and received his doctorate in philosophy in 1980 with Raymond J. Nelson and Chin-Tai Kim (Things and Things in Themselves : The Logic of Reference in Leibniz, Lambert, and Kant). 1984 to 1986 he was a lecturer at Cleveland State University and the Cleveland Art Institute and from 1987 he was professor of philosophy at Case Western Reserve University . From 1996 to 2010 he headed his department.

In 2002 he was visiting professor at the University of Notre Dame and in 1995/96 visiting scholar at Harvard University .

McLarty published an introduction to category and topos theory, dealt philosophically with the category-theoretical structural structure of mathematics and dealt with Emmy Noether (also about their political commitment), Richard Courant , Henri Poincaré , Alexander Grothendieck , Platon and Saunders in the history of mathematics MacLane (one of the founders of category theory).

He examined the rationale of Andrew Wiles ' proof of the Fermat conjecture and argued that Peano arithmetic was sufficient, that is, less than Wiles used for his proof.

He belongs to the Grothendieck Circle, which is dedicated to the legacy of Alexander Grothendieck.

He wrote the biographies of André Weil, Claude Chevalley, Jean Dieudonné, Garrett Birkhoff and Saunders MacLane (with William Lawvere ) for the New Dictionary of Scientific Biography .

Fonts (selection)

  • Elementary Categories, Elementary Toposes, Oxford: Oxford University Press, 1992, ISBN 0-19-853392-6 .
  • The Uses and Abuses of the History of Topos Theory, Br. J. Philos. Sci., Vol. 41, 1990, p. 355
  • Emmy Noether's 'Set Theoretic' Topology: From Dedekind to the rise of functors, in: Jeremy Gray, José Ferreirós (Eds.), The Architecture of Modern Mathematics: Essays in history and philosophy, Oxford UP 2006, pp. 187-208.
  • Saunders Mac Lane (1909-2005): His Mathematical Life and Philosophical Works, Philosophia Mathematica, Volume 13, 2005, pp. 237-251
  • The Last Mathematician from Hilbert's Göttingen: Saunders Mac Lane as Philosopher of Mathematics, British Journal for the Philosophy of Science, Volume 58, 2007, pp. 77-112.
  • 'Mathematical platonism' versus gathering the dead: What Socrates teaches Glaucon, Philosophia Mathematica, Volume 13, 2005, pp. 115-134.
  • Exploring Categorical Structuralism, Philosophia Mathematica, Volume 12, 2005, pp. 37-53.
  • What does it take to prove Fermat's last theorem? Grothendieck and the logic of number theory, Bulletin of Symbolic Logic, Volume 16, 2010, pp. 359-377

Web links

Individual evidence

  1. ↑ Dates of birth according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ McLarty, Emmy Noether and the Independent Social Democratic Party of Germany, Science in Context, Volume 18, 2005, pp. 429-450
  3. ^ McLarty, Richard Courant in German Revolution , Mathematical Intelligencer, Vol. 23, No. 3, 2001.
  4. ↑ McLarty, Poincaré: Mathematics & Logic & Intuition, Philosophia Mathematica, Volume 5, 1997, pp. 97-115
  5. ^ Fermat's Last Theorem and more can be proved more simply , Think
personal data
SURNAME McLarty, Colin
BRIEF DESCRIPTION American mathematician and philosopher
DATE OF BIRTH July 12, 1951
PLACE OF BIRTH Lancaster, Pennsylvania