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Matter MattersMetaphysics and Methodology in the Early Modern Period$
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Kurt Smith

Print publication date: 2010

Print ISBN-13: 9780199583652

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199583652.001.0001

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Synthesis and the Principle of Addition

Synthesis and the Principle of Addition

Chapter:
(p.141) 9 Synthesis and the Principle of Addition
Source:
Matter Matters
Author(s):

Kurt Smith (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199583652.003.0010

This chapter studies the mathematical concept of a group, early ancestors of the concept found in the works of Descartes and Leibniz. Here, it is shown exactly how the four conditions expressed by a group underwrite all of mathematics, in particular the operations of arithmetic.

Keywords:   semigroup, Monoid, group, Boolean Algebra, ring, field, mathematical structure

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