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The origins and development of the ACE project

B. Jack Copeland

in Alan Turing's Automatic Computing Engine: The Master Codebreaker's Struggle to build the Modern Computer

Published in print:
2005
Published Online:
January 2008
ISBN:
9780198565932
eISBN:
9780191714016
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198565932.003.0004
Subject:
Mathematics, History of Mathematics

This chapter details the history of the Automatic Computing Engine (ACE) project. The story of the ACE begins with John Womersley's appointment as superintendent of the newly created Mathematics ... More


Amsterdam, Breda, 1643–1652

Noel Malcolm

in John Pell (1611-1685) and His Correspondence with Sir Charles Cavendish: The Mental World of an Early Modern Mathematician

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198564843
eISBN:
9780191713750
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198564843.003.0004
Subject:
Mathematics, History of Mathematics

This chapter chronicles the life of John Pell in Amsterdam and Breda from 1643 to 1652. John Pell had little idea of what awaited him in Amsterdam; apparently he thought his trip was to be a brief ... More


GENERALIZED INDUCTIVE DEFINITIONS IN CONSTRUCTIVE SET THEORY

Michael Rathjen

in From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566519
eISBN:
9780191713927
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566519.003.0002
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter studies generalized inductive definitions on the basis of constructive Zermelo-Fraenkel set theory, CZF. In theories such as classical Zermelo-Fraenkel set theory, it can be shown that ... More


Nathaniel Bowditch and the Power of Numbers: "How a Nineteenth-Century Man of Business, Science, and the Sea Changed American Life"

Tamara Plakins Thornton

Published in print:
2016
Published Online:
September 2016
ISBN:
9781469626932
eISBN:
9781469628110
Item type:
book
Publisher:
University of North Carolina Press
DOI:
10.5149/northcarolina/9781469626932.001.0001
Subject:
History, American History: 19th Century

Nathaniel Bowditch (1773-1838) was a mathematician, astronomer, navigator, seafarer, and business executive whose Enlightenment-inspired perspectives shaped nineteenth-century capitalism while ... More


Parameterisation

Graham Priest

in Beyond the Limits of Thought

Published in print:
2002
Published Online:
October 2011
ISBN:
9780199254057
eISBN:
9780191698194
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199254057.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter examines the relevance of mathematician Frank Ramsey's essay The Foundations of Mathematics to the contradictions in the limits of thought. Ramsey has provided the most acute early ... More


The Mathematical A Priori

David Webb

in Foucault's Archaeology: Science and Transformation

Published in print:
2012
Published Online:
May 2013
ISBN:
9780748624218
eISBN:
9780748684472
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748624218.003.0007
Subject:
Philosophy, Metaphysics/Epistemology

In The Order of Things, Foucault writes that the interest in formal languages opens up ‘the possibility, and the task, of applying a second critique of pure reason on the basis of new forms of the ... More


Wittgenstein and Intuitionism

Robert J. Fogelin

in Philosophical Interpretations

Published in print:
1992
Published Online:
November 2003
ISBN:
9780195071627
eISBN:
9780199833221
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019507162X.003.0015
Subject:
Philosophy, General

This essay explores one important strain that runs through Wittgenstein's Remarks on the Foundations of Mathematics: his commitment to themes characteristic of the intuitionist movement in logic and ... More


The Office of Mathematics: foundation and staff

Catherine Jami

in The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199601400
eISBN:
9780191729218
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199601400.003.0013
Subject:
Mathematics, History of Mathematics

This chapter discusses the creation, in 1713, of an Office of Mathematics where a group of selected young scholars, both Chinese and Bannermen, started to work on the treatises commissioned by the ... More


The Jesuits and innovation in imperial science: Jean-François Foucquet's treatises

Catherine Jami

in The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199601400
eISBN:
9780191729218
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199601400.003.0014
Subject:
Mathematics, History of Mathematics

This chapter focuses on Jean-François Foucquet, the French Jesuit in charge of drafting the new astronomical treatise, and analyzes the conflicts that arose among his confreres following his proposal ... More


The New Math: A Political History

Christopher J. Phillips

Published in print:
2014
Published Online:
May 2015
ISBN:
9780226184968
eISBN:
9780226185019
Item type:
book
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226185019.001.0001
Subject:
History, History of Science, Technology, and Medicine

The new math changed the way Americans think about mathematics. The mathematicians and teachers who designed the novel and controversial curriculum in the late 1950s--generously supported by the ... More


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