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)
Resource Information
The item Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (lxxx, 551 pages)
- Note
- Includes index
- 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.
- Isbn
- 9783319633343
- Label
- Feferman on foundations : logic, mathematics, philosophy
- Title
- Feferman on foundations
- Title remainder
- logic, mathematics, philosophy
- Statement of responsibility
- Gerhard Jäger, Wilfried Sieg, editors
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Feferman-on-foundations--logic-mathematics/KH7xZbSMf0A/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Feferman-on-foundations--logic-mathematics/KH7xZbSMf0A/">Feferman on foundations : logic, mathematics, philosophy, Gerhard Jäger, Wilfried Sieg, editors, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>
