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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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