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The Nature of Mathematical Knowledge

Philip Kitcher

Published in print:
1985
Published Online:
November 2003
ISBN:
9780195035414
eISBN:
9780199833368
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195035410.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Nature of Mathematical Knowledge develops and defends an empiricist approach to mathematical knowledge. After offering an account of a priori knowledge, it argues that none of the ... More


Science in the Looking Glass: What Do Scientists Really Know?

E. Brian Davies

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199219186
eISBN:
9780191711695
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219186.001.0001
Subject:
Physics, History of Physics

How do scientific conjectures become laws? Why does proof mean different things in different sciences? Do numbers exist, or were they invented? Why do some laws turn out to be wrong? This book ... More


The Development of Analysis: A Case Study

Philip Kitcher

in The Nature of Mathematical Knowledge

Published in print:
1985
Published Online:
November 2003
ISBN:
9780195035414
eISBN:
9780199833368
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195035410.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

Concludes with a more sustained look at a single part of the history of mathematics, the development of analysis from the seventeenth century to the work of Dedekind, Cantor and Frege. The discussion ... More


Toward a Defensible Empiricism

Philip Kitcher

in The Nature of Mathematical Knowledge

Published in print:
1985
Published Online:
November 2003
ISBN:
9780195035414
eISBN:
9780199833368
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195035410.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

The next stage is to set up the main question for the rest of the book: How is empirical mathematical knowledge possible? The outline of an answer is given: relatively simple experiences provide ... More


The Game Theory Phenomenon

Paul Erickson

in The World the Game theorists Made

Published in print:
2015
Published Online:
May 2016
ISBN:
9780226097039
eISBN:
9780226097206
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226097206.003.0001
Subject:
History, History of Science, Technology, and Medicine

Writing about game theory’s past presents several historiographical challenges. At least prior to its prominent appearances in economics since the 1980s, game theory does not correlate neatly with ... More


Eight centuries of mathematical traditions

John Fauvel

in Oxford Figures: Eight Centuries of the Mathematical Sciences

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199681976
eISBN:
9780191761737
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199681976.003.0001
Subject:
Mathematics, History of Mathematics

In this introductory chapter we survey various traditions in the 800-year-old story of mathematics at Oxford University. These traditions include the medieval heritage, studies of logic, mathematical ... More


Geometry on my Mind

David D. Nolte

in Galileo Unbound: A Path Across Life, the Universe and Everything

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198805847
eISBN:
9780191843808
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805847.003.0005
Subject:
Physics, History of Physics

This chapter reviews the history of modern geometry with a focus on the topics that provided the foundation for the new visualization of physics. It begins with Carl Gauss and Bernhard Riemann, who ... More


Measuring Music

Roger Mathew Grant

in Beating Time and Measuring Music in the Early Modern Era

Published in print:
2014
Published Online:
December 2014
ISBN:
9780199367283
eISBN:
9780199367306
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199367283.003.0005
Subject:
Music, Theory, Analysis, Composition

Through the long eighteenth century, the relationship between motion and time was rewritten. Time, in this new view, was no longer a conceptual descendant of motion but was, in its new form, ... More


The Relevance of Romanticism: Essays on German Romantic Philosophy

Dalia Nassar (ed.)

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199976201
eISBN:
9780199395507
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199976201.001.0001
Subject:
Philosophy, History of Philosophy

In the last two decades, philosophers have become increasingly aware of the fact that, in spite of significant differences between the contemporary and romantic contexts, romanticism continues to ... More


Oxford Figures: Eight Centuries of the Mathematical Sciences

John Fauvel, Raymond Flood, and Robin Wilson (eds)

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199681976
eISBN:
9780191761737
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199681976.001.0001
Subject:
Mathematics, History of Mathematics

For eight centuries mathematics has been researched and studied at Oxford, and the subject and its teaching have undergone profound changes during that time. This is the story of the intellectual and ... More


Combinatorics: Ancient and Modern

Robin Wilson and John J. Watkins (eds)

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199656592
eISBN:
9780191748059
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199656592.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to ... More


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