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## Structure of Crystal, Bucket of Dust

*Peter Galison*

### in Circles Disturbed: The Interplay of Mathematics and Narrative

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691149042
- eISBN:
- 9781400842681
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691149042.003.0002
- Subject:
- Mathematics, History of Mathematics

This chapter advances the idea that every mathematical argument tells a story by focusing on the biographies of two pioneers: American physicist John Archibald Wheeler and the Bourbaki collective of ... More

## Vividness in Mathematics and Narrative

*Timothy Gowers*

### in Circles Disturbed: The Interplay of Mathematics and Narrative

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691149042
- eISBN:
- 9781400842681
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691149042.003.0007
- Subject:
- Mathematics, History of Mathematics

This chapter examines vividness in mathematics and narrative. It first gives two presentations of the mathematical notion of a group before explaining how to calculate highest common factors. It then ... More

## Conclusion

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0024
- Subject:
- Mathematics, History of Mathematics

This concluding chapter argues that symbols contribute to the beauty in mathematics—the elegance of proofs, simplicity of exposition, ingenuities, simplification of complexities, making sensible ... More

## Introduction

*Roi Wagner*

### in Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780691171715
- eISBN:
- 9781400883783
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691171715.003.0001
- Subject:
- Mathematics, History of Mathematics

This book examines the force of mathematics, what this force builds on, and how it works in practice by discussing mathematics not only from the point of view of applications but also from the point ... More

## Mathematics and Cognition

*Roi Wagner*

### in Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780691171715
- eISBN:
- 9781400883783
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691171715.003.0006
- Subject:
- Mathematics, History of Mathematics

This chapter introduces the notion of embodied mathematical cognition by reviewing some neuro-cognitive theories of mathematical concept formation. It first considers the neuro-cognitive debate on ... More

## Mathematical Metaphors Gone Wild

*Roi Wagner*

### in Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780691171715
- eISBN:
- 9781400883783
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691171715.003.0007
- Subject:
- Mathematics, History of Mathematics

This chapter examines two case studies that illustrate the limitations of the cognitive theory of mathematical metaphor in accounting for the formation of actual historical mathematical life worlds. ... More

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