Epistemology versus Ontology (Record no. 104770)
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fixed length control field | 04616nam a22005535i 4500 |
001 - CONTROL NUMBER | |
control field | 978-94-007-4435-6 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220083346.0 |
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 | 120710s2012 ne | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9789400744356 |
-- | 978-94-007-4435-6 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-94-007-4435-6 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | BC1-199 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | HPL |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PHI011000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 160 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Dybjer, P. |
Relator term | editor. |
245 10 - TITLE STATEMENT | |
Title | Epistemology versus Ontology |
Medium | [electronic resource] : |
Remainder of title | Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf / |
Statement of responsibility, etc | edited by P. Dybjer, Sten Lindström, Erik Palmgren, G. Sundholm. |
264 #1 - | |
-- | Dordrecht : |
-- | Springer Netherlands : |
-- | Imprint: Springer, |
-- | 2012. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XXVII, 385 p. 18 illus. |
Other physical details | online resource. |
336 ## - | |
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-- | computer |
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-- | rdamedia |
338 ## - | |
-- | online resource |
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347 ## - | |
-- | text file |
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490 1# - SERIES STATEMENT | |
Series statement | Logic, Epistemology, and the Unity of Science ; |
Volume number/sequential designation | 27 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Introduction.-On the Philosophical Work of Per Martin-Löf: Göran Sundholm -- Notes on the contributors -- Part 1. Philosophy of Logic and Mathematics -- Chapter 1. Kant and Real Numbers: Mark van Atten -- Chapter 2. Wittgenstein's Diagonal Argument: A Variation on Cantor and Turing: Juliet Floyd -- Chapter 3. Truth and Proof in Intuitionism: Dag Prawitz -- Chapter 4. Real and Ideal in Constructive Mathematics: Giovanni Sambin -- Chapter 5. In the Shadow of Incompleteness: Hilbert and Gentzen: Wilfried Sieg -- Chapter 6. Evolution and Logic: Jan Smith -- Chapter 7. The “Middle Wittgenstein” and Modern Mathematics: Sören Stenlund -- Chapter 8. Primitive Recursive Arithmetic and Its Role in the Foundations of Arithmetic: historical and Philosophical Reflections: William Tait -- Part 2. Foundations -- Chapter 9. Type Theory and Homotopy: Steve Awodey -- Chapter 10. A Computational Interpretation of Forcing in Type Theory: Thierry Coquand; Guilhem Jaber -- Chapter 11. Program Testing and the Meaning Explanations of Intuitionistic Type Theory: Peter Dybjer -- Chapter 12. Normativity in Logic: Jean-Yves Girard -- Chapter 13. Constructivist versus Structuralist Foundations: Erik Palmgren -- Chapter 14. Machine Translation and Type Theory: Aarne Ranta -- Chapter 15. Constructive Zermelo-Fraenkel Set Theory, Powerset, and the Calculus of Constructions: Michael Rathjen -- Chapter 16. Coalgebras as Types determined by their Elimination Rules: Anton Setzer -- Chapter 17. Second Order Logic, Set Theory and Foundations of Mathematics: Jouko Väänänen. |
520 ## - SUMMARY, ETC. | |
Summary, etc | This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice (ZFC). This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued today is predicativistic constructivism based on Martin-Löf type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and Martin-Löf. What is the relation between proof-theoretical semantics in the tradition of Gentzen, Prawitz, and Martin-Löf and Wittgensteinian or other accounts of meaning-as-use? What can proof-theoretical analyses tell us about the scope and limits of constructive and predicative mathematics? |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Philosophy (General). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Genetic 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 | Logic, Symbolic and mathematical. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Philosophy. |
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 | Mathematical Logic and Foundations. |
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 | Sundholm, G. |
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 | |
Display text | Printed edition: |
International Standard Book Number | 9789400744349 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Logic, Epistemology, and the Unity of Science ; |
Volume number/sequential designation | 27 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-94-007-4435-6 |
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