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## How Analysis and Synthesis are Related

*Kurt Smith*

### in Matter Matters: Metaphysics and Methodology in the Early Modern Period

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199583652
- eISBN:
- 9780191723155
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199583652.003.0013
- Subject:
- Philosophy, History of Philosophy, Metaphysics/Epistemology

This chapter shows how the combinatorial nature of bodies expresses the permutation group concept, the latter expressing the conditions underwriting a genuine mathematical system. The chapter ... More

## There’s Magic in the Air

*Nicholas Mee*

### in Celestial Tapestry: The Warp and Weft of Art and Mathematics

- Published in print:
- 2020
- Published Online:
- September 2020
- ISBN:
- 9780198851950
- eISBN:
- 9780191886690
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198851950.003.0010
- Subject:
- Physics, History of Physics

Carl Friedrich Gauss showed remarkable mathematical ability from a young age. As a child he found a formula for calculating the sum of sequences of consecutive numbers, a type of arithmetic ... More

## Frenicle’s 880 Magic Squares

*John Conway, Simon Norton, and Alex Ryba*

### in The Mathematics of Various Entertaining Subjects: Research in Games, Graphs, Counting, and Complexity, Volume 2

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691171920
- eISBN:
- 9781400889136
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691171920.003.0005
- Subject:
- Mathematics, History of Mathematics

This chapter discusses magic squares. A magic square of order n is an arrangement of the numbers from 1 to n2 in an n × n array so that the two diagonals and all the rows and columns have the same ... More

## China

*ANDREA BRÉARD*

### in Combinatorics: Ancient and Modern

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199656592
- eISBN:
- 9780191748059
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199656592.003.0003
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

Combinatorial practices in China go back to high antiquity, when divinatory techniques relied on configurations of broken and unbroken lines. The Yijing or I Ching (Book of Change), compiled under ... More

## Review of Bipartite Bell Scenarios

*Valerio Scarani*

### in Bell Nonlocality

- Published in print:
- 2019
- Published Online:
- September 2019
- ISBN:
- 9780198788416
- eISBN:
- 9780191830327
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788416.003.0004
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter reviews some of the Bell scenarios that go beyond CHSH, studied both with the tools of nonlocality and with quantum theory. In particular, we present the I3322 inequality, the chained ... More

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