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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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