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The Concept of Expressiveness

Stanley Peters

in Quantifiers in Language and Logic

Published in print:
2008
Published Online:
October 2011
ISBN:
9780199291267
eISBN:
9780191700590
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199291267.003.0012
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

The expressive power of languages is an intriguing subject. Logical languages are more or less expressive, and that certain concepts expressible in some of these cannot be expressed in others. This ... More


A General Theory of Clarity and Distinctness

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/9780199583652.003.0006
Subject:
Philosophy, History of Philosophy, Metaphysics/Epistemology

In this chapter a general theory of clarity and distinctness is developed, as it is found in one of the earliest of Descartes's writings, the Rules. Here, the chapter explains that the systematic ... More


Real numbers

Michael Potter

in Set Theory and its Philosophy: A Critical Introduction

Published in print:
2004
Published Online:
September 2011
ISBN:
9780199269730
eISBN:
9780191699443
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199269730.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

It was noted in the Introduction to this part of the book that Weierstrass based his rigorous presentation of the calculus on the assumption that the real numbers form a complete ordered field — that ... More


Concurrence

Ben Brubaker, Daniel Bump, and Solomon Friedberg

in Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691150659
eISBN:
9781400838998
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691150659.003.0016
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents purely combinatorial results that are needed for the proof of Statement G. The motivation for these results comes from the appearance of divisibility conditions through the ... More


Lectures on Algebraic Cycles and Chow Groups

Jacob Murre

Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng (eds)

in Hodge Theory (MN-49)

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691161341
eISBN:
9781400851478
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161341.003.0009
Subject:
Mathematics, Geometry / Topology

This chapter showcases five lectures on algebraic cycles and Chow groups. The first two lectures are over an arbitrary field, where they examine algebraic cycles, Chow groups, and equivalence ... More


Mutation

Thomas Bäck

in Evolutionary Algorithms in Theory and Practice: Evolution Strategies, Evolutionary Programming, Genetic Algorithms

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195099713
eISBN:
9780197560921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195099713.003.0012
Subject:
Computer Science, Systems Analysis and Design

In section 1.1.3 it was clarified that a variety of different, more or less drastic changes of the genome are summarized under the term mutation by ... More


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