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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


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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