Credits The AMS gratefully acknowledges the kindness of these individuals, institu- tions, and publishers in granting the following permissions. Abaris Books Cover Illustrations: “Geometria” and “Arithmetica”. Cornelius Cort (1533-1578). Engravings. Images courtesy of Abaris Books, Norwalk, CT. American Mathematical Society Review of How Mathematicians Think, William Byers, reviewed by Reuben Hersh, Notices Amer. Math. Soc., 54-11, December 2007, pp. 1496–1499. Cambridge Scholars Publishing “Mathematical Intuition: Poincar´ e, P´ olya, Dewey”, Chapter 13 of Logic and Knowl- edge, Carlo Cellucci, Emily Grosholz, and Emiliano Ippoliti, Eds., Cambridge Schol- ars Publishing, 2011. “To Establish New Mathematics, We Use Our Mental Models and Build on Estab- lished Mathematics”, in A Heuristic Point of View – Essays in Honour of Carlo Cellucci, Emiliano Ippoliti, Cesare Cozzo, Eds., Cambridge Scholars Publishing, to appear 2013. Cambridge University Mathematical Society “Mathematics has a Front and a Back”, Reuben Hersh, Eureka, V. 48, 1988, pp. 27–31, The Archimedeans, Cambridge University Mathematical Society. College Publications, London “How Mathematicians Convince Each Other (or The Kingdom of Math is Within You)”, in Festschrift for Jean Paul Van Bendegem on the Occasion of His 60th Birthday, Patrick Allo and Bart Van Kerkhove, Eds., Tribute Series, College Pub- lications, London, 2013. Department of Computer Science, University of Utah Figure that appears in “True Facts About Imaginary Objects”, The Mathematical Experience, Philip J. Davis and Reuben Hersh, Birkh¨ auser, 1981, p. 408. xiii

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