MARC details
| 000 -LEADER |
|---|
| fixed length control field |
04898nam a22006015i 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
978-1-4020-8926-8 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20180115171453.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100301s2009 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781402089268 |
| -- |
978-1-4020-8926-8 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/978-1-4020-8926-8 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA8.9-10.3 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBC |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBCD |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT018000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
511.3 |
| Edition number |
23 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Logicism, Intuitionism, and Formalism |
| Medium |
[electronic resource] : |
| Remainder of title |
What has Become of Them? / |
| Statement of responsibility, etc. |
edited by Sten Lindström, Erik Palmgren, Krister Segerberg, Viggo Stoltenberg-Hansen. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Dordrecht : |
| Name of producer, publisher, distributor, manufacturer |
Springer Netherlands, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2009. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 512 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science ; |
| Volume/sequential designation |
341 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Introduction: The Three Foundational Programmes -- Introduction: The Three Foundational Programmes -- Logicism and Neo-Logicism -- Protocol Sentences for Lite Logicism -- Frege’s Context Principle and Reference to Natural Numbers -- The Measure of Scottish Neo-Logicism -- Natural Logicism via the Logic of Orderly Pairing -- Intuitionism and Constructive Mathematics -- A Constructive Version of the Lusin Separation Theorem -- Dini’s Theorem in the Light of Reverse Mathematics -- Journey into Apartness Space -- Relativization of Real Numbers to a Universe -- 100 Years of Zermelo’s Axiom of Choice: What was the Problem with It? -- Intuitionism and the Anti-Justification of Bivalence -- From Intuitionistic to Point-Free Topology: On the Foundation of Homotopy Theory -- Program Extraction in Constructive Analysis -- Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan Theorem -- Formalism -- “Gödel’s Modernism: On Set-Theoretic Incompleteness,” Revisited -- Tarski’s Practice and Philosophy: Between Formalism and Pragmatism -- The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory -- Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics -- Beyond Hilbert’s Reach? -- Hilbert and the Problem of Clarifying the Infinite. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous Hilbert-Brouwer controversy in the 1920s. The purpose of this anthology is to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the various foundational programmes of the classical period and the disputes that took place between them? To what extent do the classical programmes of logicism, intuitionism and formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics. The volume will be of interest primarily to researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Epistemology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Logic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Ontology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Language and languages |
| General subdivision |
Philosophy. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
History. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical logic. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical Logic and Foundations. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Logic. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Philosophy of Language. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Epistemology. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Ontology. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
History of Mathematical Sciences. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lindström, Sten. |
| Relator term |
editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Palmgren, Erik. |
| Relator term |
editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Segerberg, Krister. |
| Relator term |
editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Stoltenberg-Hansen, Viggo. |
| Relator term |
editor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9781402089251 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science ; |
| Volume number/sequential designation |
341 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-1-4020-8926-8">http://dx.doi.org/10.1007/978-1-4020-8926-8</a> |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |