Feferman on foundations : logic, mathematics, philosophy /

Feferman on foundations : logic, mathematics, philosophy /

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Bibliographic Details
Imprint:Cham, Switzerland : Springer, 2017.
Description:1 online resource (lxxx, 551 pages) : illustrations
Language:English
Series:Outstanding contributions to logic, 2211-2758 ; volume 13
Outstanding contributions to logic,
Subject:
Logic, Symbolic and mathematical.
Logic, Symbolic and mathematical.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11654240
Hidden Bibliographic Details
Other authors / contributors:Feferman, Solomon, honouree.
Jäger, Gerhard, editor.
Sieg, Wilfried, 1945- editor.
ISBN:9783319633343
3319633341
9783319633329
3319633325
Digital file characteristics:text file
PDF
Notes:Includes index.
Online resource; title from PDF title page (SpringerLink, viewed April 11, 2018).
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 "What is logic?" and proposed particular positions regarding the foundations of mathematics including, for example, his "conceptual structuralism." 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.
Other form:Print version: Feferman on foundations. Cham, Switzerland : Springer, 2017 9783319633329 3319633325
Standard no.:10.1007/978-3-319-63334-3
Table of 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.

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