Coverart for item
The Resource Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book)

Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book)

Label
Feferman on foundations : logic, mathematics, philosophy
Title
Feferman on foundations
Title remainder
logic, mathematics, philosophy
Statement of responsibility
Gerhard Jäger, Wilfried Sieg, editors
Contributor
Editor
Honouree
Subject
Language
eng
Summary
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as zWhat is logic?y and proposed particular positions regarding the foundations of mathematics including, for example, his zconceptual structuralism.y The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic
Member of
Cataloging source
GW5XE
Dewey number
511.3
Illustrations
illustrations
Index
index present
LC call number
QA9.2
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1945-
http://library.link/vocab/relatedWorkOrContributorName
  • Feferman, Solomon
  • Jäger, Gerhard
  • Sieg, Wilfried
Series statement
Outstanding contributions to logic,
Series volume
volume 13
http://library.link/vocab/subjectName
Logic, Symbolic and mathematical
Label
Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book)
Instantiates
Publication
Note
Includes index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Tentative TOC Table of contents Introduction: Perspective Feferman: Autobiography I. Mathematical Logic -- Model Theory -- Set Theory -- Proof Theory. -- Computability Theory II. Conceptual Expansions . Predicativity -- Unfolding 2 -- Semi-constructive systems III. Axiomatic Foundations -- Explicit Mathematics and Operational Set Theory -- Theories of Truth -- Foundations of Category Theory IV. From Logic to Philosophy -- What is Logic? -- Foundational Ways -- Gödel, Minds and Machines -- New Axioms and the Continuum Problem -- Conceptual Structuralism V. Responses Feferman: Bibliography Contributors: Short biographies -- Index.
Extent
1 online resource (lxxx, 551 pages)
Form of item
online
Isbn
9783319633343
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-63334-3
Other physical details
illustrations.
System control number
  • on1030993204
  • (OCoLC)1030993204
Label
Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book)
Publication
Note
Includes index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Tentative TOC Table of contents Introduction: Perspective Feferman: Autobiography I. Mathematical Logic -- Model Theory -- Set Theory -- Proof Theory. -- Computability Theory II. Conceptual Expansions . Predicativity -- Unfolding 2 -- Semi-constructive systems III. Axiomatic Foundations -- Explicit Mathematics and Operational Set Theory -- Theories of Truth -- Foundations of Category Theory IV. From Logic to Philosophy -- What is Logic? -- Foundational Ways -- Gödel, Minds and Machines -- New Axioms and the Continuum Problem -- Conceptual Structuralism V. Responses Feferman: Bibliography Contributors: Short biographies -- Index.
Extent
1 online resource (lxxx, 551 pages)
Form of item
online
Isbn
9783319633343
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-63334-3
Other physical details
illustrations.
System control number
  • on1030993204
  • (OCoLC)1030993204

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