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## What Is Structuralism? and Other Questions

*Michael D. Resnik*

### in Mathematics as a Science of Patterns

- Published in print:
- 1999
- Published Online:
- November 2003
- ISBN:
- 9780198250142
- eISBN:
- 9780191598296
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198250142.003.0012
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

I explore the relation between structuralism and other theses that I have presented in the rest of the book, in particular, my holism, realism about mathematical objects, and the disquotational ... More

## Logic

*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/9780199269730.003.0002
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This book consists in very large part of an exposition of a mathematical theory — the theory (or a theory) of sets. This exposition has at its core a sequence of proofs designed to establish ... More

## Statistical Analysis of Epidemiologic Data

*Steve Selvin*

- Published in print:
- 2004
- Published Online:
- September 2009
- ISBN:
- 9780195172805
- eISBN:
- 9780199865697
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195172805.001.0001
- Subject:
- Public Health and Epidemiology, Public Health, Epidemiology

Analytic procedures suitable for the study of human disease are scattered throughout the statistical and epidemiologic literature. Explanations of their properties are frequently presented in ... More

## Symbols and quantities in parietal cortex: elements of a mathematical theory of number representation and manipulation

*Stanislas Dehaene*

### in Sensorimotor Foundations of Higher Cognition

- Published in print:
- 1993
- Published Online:
- March 2012
- ISBN:
- 9780199231447
- eISBN:
- 9780191696510
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199231447.003.0024
- Subject:
- Psychology, Cognitive Psychology

This chapter discusses a mathematical theory relating neurobiological observations to psychological laws in the domain of numerical cognition. It generates equations for response times and errors in ... More

## Statement of the Problem

*Peter Turchin*

### in Historical Dynamics: Why States Rise and Fall

- Published in print:
- 2018
- Published Online:
- January 2019
- ISBN:
- 9780691180779
- eISBN:
- 9781400889310
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691180779.003.0001
- Subject:
- History, Historiography

This chapter provides an introduction to the use of quantitative theories in historical sociology. It first explains why we need a mathematical theory in history before making a case for historical ... More

## Some Combinatorial Logic Examples

*Paul J. Nahin*

### in The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.003.0007
- Subject:
- Mathematics, History of Mathematics

The entire point of Shannon's 1948 “A Mathematical Theory of Communication” was to study the theoretical limits on the transmission of information from point A (the source) to point B (the receiver) ... More

## Cacography or Communication?: Cultural Techniques of Sign-Signal Distinction

*Bernhard Siegert*

### in Cultural Techniques: Grids, Filters, Doors, and Other Articulations of the Real

- Published in print:
- 2015
- Published Online:
- September 2015
- ISBN:
- 9780823263752
- eISBN:
- 9780823268962
- Item type:
- chapter

- Publisher:
- Fordham University Press
- DOI:
- 10.5422/fordham/9780823263752.003.0002
- Subject:
- Information Science, Communications

Drawing on Serres’ concept of the parasite and its point of departure in the history of linguistics and mathematical theory of communication, the chapter develops a concept of Cultural Techniques as ... More

## A Short Introduction to the Mathematical Theory of Benfordʼs Law

*Arno Berger and T. P. Hill*

### in Benford's Law: Theory and Applications

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691147611
- eISBN:
- 9781400866595
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691147611.003.0002
- Subject:
- Mathematics, Probability / Statistics

This chapter embarks on a brief discussion of the mathematical theory of Benford's law. This law is the observation that in many collections of numbers, be they mathematical tables, real-life data, ... More

## Games and the Mind: Modeling Human Behavior

*Michael R. Powers*

### in Acts of God and Man: Ruminations on Risk and Insurance

- Published in print:
- 2014
- Published Online:
- November 2015
- ISBN:
- 9780231153676
- eISBN:
- 9780231527057
- Item type:
- chapter

- Publisher:
- Columbia University Press
- DOI:
- 10.7312/columbia/9780231153676.003.0015
- Subject:
- Economics and Finance, Development, Growth, and Environmental

The preceding three chapters have created the impression that serious deficiencies exist in some empirical scientific research, especially in fields relying primarily on observational studies. And ... More

## Complex Media

*G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos*

### in Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691142173
- eISBN:
- 9781400842650
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691142173.003.0001
- Subject:
- Mathematics, Applied Mathematics

This chapter discusses complex media, which plays a big part in the late-twentieth-century technology revolution and is propagating with increasing speed and expanding front. Complex media are ... More

## Nothing as Practical as a Good Theory

*Ken H. Andersen*

### in Fish Ecology, Evolution, and Exploitation: A New Theoretical Synthesis

- Published in print:
- 2019
- Published Online:
- January 2020
- ISBN:
- 9780691192956
- eISBN:
- 9780691189260
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691192956.003.0001
- Subject:
- Biology, Aquatic Biology

This chapter provides some context on the overall themes and theory of this volume. Throughout, the theory is applied to relevant problems in fisheries science: impact of fishing on demography, ... More

## The Uniform Distribution and Benford's Law

*Arno Berger and Theodore P. Hill*

### in An Introduction to Benford's Law

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691163062
- eISBN:
- 9781400866588
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691163062.003.0004
- Subject:
- Mathematics, Probability / Statistics

The uniform distribution characterization of Benford's law is the most basic and powerful of all characterizations, largely because the mathematical theory of uniform distribution modulo one is very ... More

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