The Interplay of Mathematics and Narrative
Buch, Englisch, 552 Seiten, Format (B × H): 172 mm x 250 mm, Gewicht: 974 g
ISBN: 978-0-691-14904-2
Verlag: Princeton University Press
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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
- Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
- Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
Weitere Infos & Material
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
