Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds--stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities.

A book unlike any other,

*Circles Disturbed*delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of “myths of origins” in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more.In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.

**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).*Circles Disturbed is published by Princeton University Press*Introduction vii

Chapter 1:

1*From Voyagers to Martyrs: Toward a Storied History of Mathematics*

By AMIR ALEXANDERChapter 2:

52*Structure of Crystal, Bucket of Dust*

By PETER GALISONChapter 3:

79*Deductive Narrative and the Epistemological Function of Belief in Mathematics: On Bombelli and Imaginary Numbers*

By FEDERICA LANAVEChapater 4:

105*Hilbert on Theology and Its Discontents: The Origin Myth of Modern Mathematics*

By COLIN MCLARTYChapter 5:

130*Do Androids Prove Theorems in Their Sleep?*

By MICHAEL HARRISChapter 6:

183**Visions, Dreams, and Mathematics**

By BARRY MAZURChapter 7:

211*Vividness in Mathematics and Narrative*

By TIMOTHY GOWERSChapter 8:

232**Mathematics and Narrative: Why Are Stories and Proofs Interesting?**

By BERNARD TEISSIERChapter 9:

244**Narrative and the Rationality of Mathematical Practice**

By DAVID CORFIELDChapter 10:

281**A Streetcar Named (among Other Things) Proof: From Storytelling to Geometry, via Poetry and Rhetoric**

By APOSTOLOS DOXIADISChapter 11:

389**Mathematics and Narrative: An Aristotelian Perspective**

By G .E .R . LLOYDChapter 12:

407**Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative**

By ARADY PLOTNITSKYChapter 13:

447**Formal Models in Narrative Analysis**

By DAVID HERMANChapter 14:

481**Mathematics and Narrative: A Narratological Perspective**

By URI MARGOLINChapter 15:

508*Tales of Contingency, Contingencies of Telling: Toward an Algorithm of Narrative Subjectivity*

By JAN CHRISTOPH MEISTER“

*Circles Disturbed*offers a range of possibilities for how narrative can function in mathematics and how narratives themselves show signs of a mathematical structure. An intelligent, exploratory collection of writings by a distinguished group of contributors.”–Theodore Porter, University of California, Los Angeles“This collection is a pioneering effort to trace the hidden connections between mathematics and narrative. It succeeds magnificently, and represents a very significant contribution that will appeal to the professional mathematician as well as the general educated reader. The articles are written by top authorities in their fields.”–Doron Zeilberger, Rutgers University

“The idea of a volume devoted to mathematics and narrative is a good one. The strength of the present volume is the breadth of its outlook, and I would imagine a fairly diverse readership from a wide variety of perspectives.”–Robert Osserman, professor emeritus, Stanford University

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