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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


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


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


The Mathematical Imagination: On the Origins and Promise of Critical Theory

Matthew Handelman

Published in print:
2019
Published Online:
January 2020
ISBN:
9780823283835
eISBN:
9780823286270
Item type:
book
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823283835.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Mathematical Imagination is an archaeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in 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


Mathematics and Fiction: Thomas Pynchon, Gravity’S Rainbow

Nina Engelhardt

in Modernism, Fiction and Mathematics

Published in print:
2018
Published Online:
January 2019
ISBN:
9781474416238
eISBN:
9781474449656
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474416238.003.0005
Subject:
Literature, Criticism/Theory

Chapter 4 sets the engagement with modernist mathematics into broader context when examining the rise, fall and transformation of Enlightenment thinking and science in Pynchon’s Gravity’s Rainbow. ... More


The Logical Must: Wittgenstein on Logic

Penelope Maddy

Published in print:
2014
Published Online:
August 2014
ISBN:
9780199391752
eISBN:
9780199391776
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199391752.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, General

This book is an examination of Wittgenstein’s philosophy of logic, early and late, undertaken from an austere naturalistic perspective called ‘‘Second Philosophy’’. On a generally metaphysical ... More


Chalk: Materials and Concepts in Mathematics Research

Michael J. Barany and Donald MacKenzie

in Representation in Scientific Practice Revisited

Published in print:
2014
Published Online:
May 2014
ISBN:
9780262525381
eISBN:
9780262319157
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262525381.003.0006
Subject:
Society and Culture, Technology and Society

This chapter devotes close empirical attention to the social and material achievement of proofs, theorems, and other mathematical constructions. Mathematics is often treated as the most abstract and ... More


Grothendieck Topoi: Architectural and Plastic Imagination beyond Material Number and Space

Fernando Zalamea

in Architectural Materialisms: Nonhuman Creativity

Published in print:
2018
Published Online:
May 2020
ISBN:
9781474420570
eISBN:
9781474453905
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474420570.003.0012
Subject:
Philosophy, Aesthetics

Fernando Zalamea begins with an emphatic argument that from mathematics to its plastic influence, Grothendieck topoi are used to understand the human and the nonhuman creativity in three variously ... More


Mathematics, Language, Structure: Hermann Broch, the Sleepwalkers

Nina Engelhardt

in Modernism, Fiction and Mathematics

Published in print:
2018
Published Online:
January 2019
ISBN:
9781474416238
eISBN:
9781474449656
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474416238.003.0003
Subject:
Literature, Criticism/Theory

Chapter 2, focusing on Broch’s The Sleepwalkers, analyses relations between mathematics and turn-of-the-century scepticism of language and investigation of form. The novel trilogy engages with ... More


Pythagorean Mysticism/Democritean Wisdom

Anthony Cordingley

in Samuel Beckett's How It Is: Philosophy in Translation

Published in print:
2018
Published Online:
May 2019
ISBN:
9781474440608
eISBN:
9781474453868
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474440608.003.0003
Subject:
Literature, 20th-century Literature and Modernism

This chapter elucidates the dialectic between Pythagorean-Platonic and Democritean ideas latent in the text. It measures the importance of Beckett’s perception of philosophy gained through his study ... More


Spinoza, Leibniz or a World ‘less exquisitely organized’

Anthony Cordingley

in Samuel Beckett's How It Is: Philosophy in Translation

Published in print:
2018
Published Online:
May 2019
ISBN:
9781474440608
eISBN:
9781474453868
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474440608.003.0008
Subject:
Literature, 20th-century Literature and Modernism

This chapter concludes the investigation by detailing the way that Beckett’s narrator/narrator weighs up a philosophy of imminence (Spinoza) against a philosophy of transcendence (Leibniz). A new ... More


Theory

Massimiliano Di Ventra

in The Scientific Method: Reflections from a Practitioner

Published in print:
2018
Published Online:
June 2018
ISBN:
9780198825623
eISBN:
9780191864605
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198825623.003.0009
Subject:
Physics, History of Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the role of a theory: to describe (preferably mathematically) observations and to make new predictions that are testable. Theories, as the hypotheses they build upon, are not ... More


Managing toward Consensus: Bignon, Fontenelle, and the Creation of the Pax Analytica in France

J.B. Shank

in Before Voltaire: The French Origins of "Newtonian" Mechanics, 1680-1715

Published in print:
2018
Published Online:
May 2019
ISBN:
9780226509297
eISBN:
9780226509327
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226509327.003.0010
Subject:
History, History of Science, Technology, and Medicine

Chapter 10 shows how the battle over analytical mechanics was concluded in favor of Varignon and his science, and how it became an accepted and established academic science in France largely through ... More


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