Circles Disturbed

Apostolos Doxiadis is a writer whose books include Uncle Petros and Goldbach's Conjecture and Logicomix. Barry Mazur is the Gerhard Gade University Professor in the Department of Mathematics at Harvard University. His books include Imagining Numbers and Arithmetic Moduli of Elliptic Curves (Princeton).

• Introduction vii Chapter 1: From Voyagers to Martyrs: Toward a Storied History of Mathematics 1 By AMIR ALEXANDER Chapter 2 Structure of Crystal, Bucket of Dust 52 By PETER GALISON Chapter 3: Deductive Narrative and the Epistemological Function of Belief in Mathematics: On Bombelli and Imaginary Numbers 79 By FEDERICA LANAVE Chapater 4: Hilbert on Theology and Its Discontents: The Origin Myth of Modern Mathematics 105 By COLIN MCLARTY Chapter 5: Do Androids Prove Theorems in Their Sleep? 130 By MICHAEL HARRIS Chapter 6: Visions, Dreams, and Mathematics 183 By BARRY MAZUR Chapter 7: Vividness in Mathematics and Narrative 211 By TIMOTHY GOWERS Chapter 8: Mathematics and Narrative: Why Are Stories and Proofs Interesting? 232 By BERNARD TEISSIER Chapter 9: Narrative and the Rationality of Mathematical Practice 244 By DAVID CORFIELD Chapter 10: A Streetcar Named (among Other Things) Proof: From Storytelling to Geometry, via Poetry and Rhetoric 281 By APOSTOLOS DOXIADIS Chapter 11: Mathematics and Narrative: An Aristotelian Perspective 389 By G .E .R . LLOYD Chapter 12: Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative 407 By ARADY PLOTNITSKY Chapter 13: Formal Models in Narrative Analysis 447 By DAVID HERMAN Chapter 14: Mathematics and Narrative: A Narratological Perspective 481 By URI MARGOL N Chapter 15: Tales of Contingency, Contingencies of Telling: Toward an Algorithm of Narrative Subjectivity 508 By JAN CHRISTOPH MEISTER Contributors 541 Index 545

"Editors Doxiadis and Mazur have compiled a collection of 15 essays that look at the many possible roles narrative can play in mathematics, which is usually considered far removed from storytelling... Circles Disturbed will be of special value to collections in history of mathematics, philosophy of mathematics, and mathematical pedagogy."--Choice "Circles Disturbed presents a cohesive narrative whose strength lies in helping each side to understand the other. It should encourage scientists to grasp the logic behind storytelling and literary critics to sense the allure of mathematics."--Mel Bayley, British Society for the History of Mathematics Bulletin "Well thought and well written and with a careful balance between erudition and down-to-earthness all through it, Circles Disturbed is a highly recommended reading for mathematicians and students of mathematics, as well as for anyone who wishes to better understand what it is to do mathematics and why they are done the way they are done."--Capi Corrales Rodriganez, European Mathematical Society "Circles Disturbed will spark interest in younger readers in the commonalities among these three disciplines as well as engage other readers. Further, readers with greater background in one or more topics can see the intra- and the intersections rather naturally and inquisitively. The diverse perspectives represented by the various authors are quite refreshing."--Farshid Safi, Mathematics Teacher