Coverart for item
The Resource One hundred years of intuitionism (1907-2007) : the Cerisy conference, Mark van Atten [and others], editors

One hundred years of intuitionism (1907-2007) : the Cerisy conference, Mark van Atten [and others], editors

Label
One hundred years of intuitionism (1907-2007) : the Cerisy conference
Title
One hundred years of intuitionism (1907-2007)
Title remainder
the Cerisy conference
Statement of responsibility
Mark van Atten [and others], editors
Contributor
Subject
Genre
Language
eng
Summary
With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century; and since the seventies, notably its views on logic have become important also outside foundational studies, with the development of theoretical computer science. The aim of the book is threefold: to review and complete the historical account of intuitionism; to present recent philosophical work on intuitionism; and to give examples of new technical advances and applications of intuitionism. This volume brings together 21 contributions by today's leading authors on these topics, and surveys the philosophical, logical and mathematical implications of the approach initiated in 1907 in L.E.J. Brouwer's dissertation
Member of
Cataloging source
GW5XE
Dewey number
511.3/6
Illustrations
illustrations
Index
index present
LC call number
QA9.47
LC item number
.O54 2008eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1973-
  • 2007
http://library.link/vocab/relatedWorkOrContributorName
  • Atten, Markus Sebastiaan Paul Rogier van
  • 1907-2007: one hundred years of intuitionism
Series statement
  • Publications des Archives Henri-Poincaré =
  • Publications of the Henri Poincaré archives
http://library.link/vocab/subjectName
  • Brouwer, L. E. J.
  • Intuitionistic mathematics
  • Mathematics
  • Brouwer, L. E. J
  • Brouwer, L. E. J.
  • Brouwer, Luitzen E. J.
  • MATHEMATICS
  • MATHEMATICS
  • Intuitionistic mathematics
  • Mathematics
  • Sciences humaines
  • Sciences sociales
  • Intuitionistic mathematics
  • Mathematics
  • Intuitionistische Mathematik
Label
One hundred years of intuitionism (1907-2007) : the Cerisy conference, Mark van Atten [and others], editors
Instantiates
Publication
Bibliography note
  • Includes bibliographical references (pages 391-416) and index
  • "A bibliography of leaves E.J. Brouwer": pages 343-390
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Brouwer and Brouwerian intuitionism -- Another look at Brouwer's dissertation -- Brouwerian infinity -- The new intuitionism -- Truth and experience of truth -- The proper explanation of intuitionistic logic: on Brouwer's demonstration of the Bar Theorem -- The intersection of intuitionism (Brouwer) and phenomenology (Husserl) -- Brouwer on 'hypotheses' and the middle Wittgenstein -- Brouwer's notion of intuition and theory of knowledge by presence -- Buddhist models of the mind and the common core thesis on mysticism -- Kindred spirits -- Remarks on the supposed french' semi-' or 'pre-intuitionism' -- Poincaré: intuitionism, intuition, and convention -- Some of Julius König's mathematical dreams in his New Foundations of Logic, Arithmetic, and Set Theory -- Gödel, constructivity, impredicativity, and feasibility -- Lorenzen's operative justification of intuitionistic logic -- Mathematical perspectives -- The Hilbert-Brouwer controversy resolved? -- Proof theory and Martin-Löf Type Theory -- Some remarks on linear logic -- Two applications of dynamic constructivism: Brouwer's continuity principle and choice sequences in formal topology -- A reverse look at Brouwer's Fan Theorem -- Some applications of Brouwer's Thesis on Bars -- Concluding remarks at the Cerisy conference -- A bibliography of L.E.J. Brouwer
Control code
304563691
Dimensions
unknown
Extent
1 online resource (xiii, 422 pages)
Form of item
online
Isbn
9783764386535
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-8653-5
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8652-8
Specific material designation
remote
System control number
(OCoLC)304563691
Label
One hundred years of intuitionism (1907-2007) : the Cerisy conference, Mark van Atten [and others], editors
Publication
Bibliography note
  • Includes bibliographical references (pages 391-416) and index
  • "A bibliography of leaves E.J. Brouwer": pages 343-390
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Brouwer and Brouwerian intuitionism -- Another look at Brouwer's dissertation -- Brouwerian infinity -- The new intuitionism -- Truth and experience of truth -- The proper explanation of intuitionistic logic: on Brouwer's demonstration of the Bar Theorem -- The intersection of intuitionism (Brouwer) and phenomenology (Husserl) -- Brouwer on 'hypotheses' and the middle Wittgenstein -- Brouwer's notion of intuition and theory of knowledge by presence -- Buddhist models of the mind and the common core thesis on mysticism -- Kindred spirits -- Remarks on the supposed french' semi-' or 'pre-intuitionism' -- Poincaré: intuitionism, intuition, and convention -- Some of Julius König's mathematical dreams in his New Foundations of Logic, Arithmetic, and Set Theory -- Gödel, constructivity, impredicativity, and feasibility -- Lorenzen's operative justification of intuitionistic logic -- Mathematical perspectives -- The Hilbert-Brouwer controversy resolved? -- Proof theory and Martin-Löf Type Theory -- Some remarks on linear logic -- Two applications of dynamic constructivism: Brouwer's continuity principle and choice sequences in formal topology -- A reverse look at Brouwer's Fan Theorem -- Some applications of Brouwer's Thesis on Bars -- Concluding remarks at the Cerisy conference -- A bibliography of L.E.J. Brouwer
Control code
304563691
Dimensions
unknown
Extent
1 online resource (xiii, 422 pages)
Form of item
online
Isbn
9783764386535
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-8653-5
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8652-8
Specific material designation
remote
System control number
(OCoLC)304563691

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