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Hilbert on Theology and Its Discontents: The Origin Myth of Modern Mathematics

Colin McLarty

Apostolos Doxiadis and Barry Mazur (eds)

in Circles Disturbed: The Interplay of Mathematics and Narrative

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149042
eISBN:
9781400842681
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149042.003.0004
Subject:
Mathematics, History of Mathematics

This chapter examines the myth surrounding Paul Gordan's response to David Hilbert's finiteness theorems. A proof introduced by Hilbert in 1888 became the paradigm of modern axiomatic mathematics. In ... More


The Göttingers

Jan von Plato

in The Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174174
eISBN:
9781400885039
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174174.003.0008
Subject:
History, History of Science, Technology, and Medicine

This chapter studies how around 1918, when work based on Bertrand Russell began in Göttingen, Russell's axioms with disjunction and negation as primitives were used. By the mid-1920s, David Hilbert ... More


Quantification and Finitism

Mathieu Marion

in Wittgenstein, Finitism, and the Foundations of Mathematics

Published in print:
2008
Published Online:
September 2011
ISBN:
9780199550470
eISBN:
9780191701559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199550470.003.0004
Subject:
Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

This chapter shows that Ludwig Wittgenstein's philosophy of mathematics has much less in common with intuitionism than is usually assumed, although some strategical moves are barely distinguishable. ... More


General Covariance and the “Relativized A Priori”: Two Roads from Kant

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0002
Subject:
Philosophy, Philosophy of Science

A tension within Kant’s Transcendental Analytic, regarding the combination of the “active” faculty of understanding with the “passive” faculty of sensibility, underlies the distinct appraisals in ... More


Virginia Woolf on Mathematics: Signifying Opposition

Jocelyn Rodal

in Contradictory Woolf

Published in print:
2012
Published Online:
January 2016
ISBN:
9780983533955
eISBN:
9781781384930
Item type:
chapter
Publisher:
Liverpool University Press
DOI:
10.5949/liverpool/9780983533955.003.0025
Subject:
Literature, 20th-century Literature and Modernism

This chapter explores the “formal similarities” in Virginia Woolf's writing and the mathematics of David Hilbert who shares an almost identical surname with the character Katherine Hilbery in Night ... More


Description and Equivalence

Stephen Neale

in Facing Facts

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199247158
eISBN:
9780191598081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199247153.003.0010
Subject:
Philosophy, Philosophy of Language

Revolves around the matter of whether the stronger results that W. V. Quine and Donald Davidson were attempting to derive from slingshot (collapsing) arguments over facts might be forthcoming if ... More


Open problems in the philosophy of information

Luciano Floridi

in The Philosophy of Information

Published in print:
2011
Published Online:
May 2011
ISBN:
9780199232383
eISBN:
9780191594809
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199232383.003.0002
Subject:
Philosophy, General, Logic/Philosophy of Mathematics

The chapter investigates the main open problems in PI. Section 2.1 introduces their analysis. Section 2.2 discusses some methodological considerations about what counts as a good philosophical ... More


The Origin and Significance of Husserl's Notion of the Lebenswelt

Ulrich Majer

in Science and the Life-World: Essays on Husserl's Crisis of European Sciences

Published in print:
2009
Published Online:
June 2013
ISBN:
9780804756044
eISBN:
9780804772945
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804756044.003.0003
Subject:
Philosophy, Philosophy of Science

This chapter examines the origin and significance of Husserl's notion of the Lebenswelt. It looks at the life-world from the point of view of contemporaneous philosophy of science, above all the ... More


Einstein’s Intellectual Odyssey to General Relativity

Hanoch Gutfreund and Jürgen Renn

in The Road to Relativity: The History and Meaning of Einstein's "The Foundation of General Relativity", Featuring the Original Manuscript of Einstein's Masterpiece

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175812
eISBN:
9781400865765
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175812.003.0002
Subject:
Physics, History of Physics

This section discusses the development of Albert Einstein's ideas and attitudes as he struggled for eight years to come up with a general theory of relativity that would meet the physical and ... More


The Grand Unified Theory of Computation

Moore Cristopher

in The Nature of Computation

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199233212
eISBN:
9780191775079
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233212.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter explores a universal notion of computation, first by describing Charles Babbage's vision of a mechanical device that can perform any calculation as well as David Hilbert's dream of a ... More


The Veil of Maya

Michael Harris

in Mathematics without Apologies: Portrait of a Problematic Vocation

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175836
eISBN:
9781400885527
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175836.003.0016
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

Scholarship seems to have failed to consider which metaphorical veil, or Schleier, Hilbert was inviting his listeners to lift, among the many on offer to an educated German in the late nineteenth ... More


Color Constancy

Joshua Gert

in Primitive Colors: A Case Study in Neo-pragmatist Metaphysics and Philosophy of Perception

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198785910
eISBN:
9780191840579
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198785910.003.0006
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Mind

This chapter presents an account of color constancy that explains a well-known division in the data from color-constancy experiments: So-called “paper matches” exhibit a much higher level of ... More


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