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Constructivism in mathematics : an introduction. Volume 1 /
Constructivism in Mathematics Vol.1.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
North-Holland,
1988.
|
| Colección: | Studies in logic and the foundations of mathematics ;
v. 121. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn649906561 | ||
| 003 | OCoLC | ||
| 005 | 20231117044426.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 100716s1988 ne a ob 001 0 eng d | ||
| 040 | |a E7B |b eng |e pn |c E7B |d IDEBK |d OCLCQ |d N$T |d OCLCQ |d OPELS |d OCLCF |d OCLCQ |d COO |d OCLCQ |d DEBSZ |d LEAUB |d VLY |d S2H |d OCLCO |d YDXIT |d OCLCO |d YDX |d OCLCO |d OCLCQ | ||
| 020 | |a 9780080570884 |q (electronic bk.) | ||
| 020 | |a 0080570887 |q (electronic bk.) | ||
| 020 | |z 9780444702661 | ||
| 020 | |z 0444702660 |q (v. 1 ; |q hardbound) | ||
| 020 | |z 0444705066 |q (pbk.) | ||
| 035 | |a (OCoLC)649906561 | ||
| 050 | 4 | |a QA9.56 |b .T76 1988 | |
| 072 | 7 | |a MAT |x 016000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 018000 |2 bisacsh | |
| 082 | 0 | 4 | |a 511.3 |2 23 |
| 100 | 1 | |a Troelstra, A. S. |q (Anne Sjerp) | |
| 245 | 1 | 0 | |a Constructivism in mathematics : |b an introduction. |n Volume 1 / |c A.S. Troelstra, D. van Dalen. |
| 260 | |a Amsterdam : |b North-Holland, |c 1988. | ||
| 300 | |a 1 online resource : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Studies in logic and the foundations of mathematics ; |v v. 121 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Constructivism in Mathematics: An Introduction; Copyright Page; CONTENTS OF VOLUME I; Preface; Preliminaries; Chapter 1 Introduction; 1. Constructivism; 2. Constructivity; 3. Weak counterexamples; 4. A brief history of constructivism; 5. Notes; Exercises; Chapter 2 Logic; 1. Natural deduction; 2. Logic with existence predicate; 3. Relationships between classical and intuitionistic logic; 4. Hilbert-type systems; 5. Kripke semantics; 6. Completeness for Kripke semantics; 7. Definitional extensions; 8. Notes; Exercises; Chapter 3 Arithmetic | |
| 505 | 8 | |a 1. Informal arithmetic and primitive recursive functions2. Primitive recursive arithmetic PRA; 3. Intuitionistic first-order arithmetic HA; 4. Algorithms; 5. Some metamathematics of HA; 6. Elementary analysis and elementary inductive definitions; 7. Formalization of elementary recursion theory; 8. Intuitionistic second-order logic and arithmetic; 9. Higher-order logic and arithmetic; 10. Notes; Exercises; Chapter 4 Non-classical axioms; 1. Preliminaries; 2. Choice axioms; 3. Church's thesis; 4. Realizability; 5. Markov's principle; 6. Choice sequences and continuity axioms; 7. The fan theorem | |
| 505 | 8 | |a 8. Bar induction and generalized inductive definitions9. Uniformity principles and Kripke's schema; 10. Notes; Exercises; Chapter 5 Real numbers; 1. Introduction; 2. Cauchy reals and their ordering; 3. Arithmetic on R; 4. Completeness properties and relativization; 5. Dedekind reals; 6. Arithmetic of Dedekind reals and extended reals; 7. Two metamathematical digressions; 8. Notes; Exercises; Chapter 6 Some elementary analysis; 1. Intermediate-value and supremum theorems; 2. Differentiation and integration; 3. Consequences of WC-N and FAN; 4. Analysis in CRM: consequences of CT0, ECT0, MP | |
| 505 | 8 | |a 5. NotesExercises; Bibliography; Index; List of symbols | |
| 520 | |a Constructivism in Mathematics Vol.1. | ||
| 650 | 0 | |a Constructive mathematics. | |
| 650 | 6 | |a Math�ematiques constructives. |0 (CaQQLa)201-0024136 | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Logic. |2 bisacsh | |
| 650 | 7 | |a Constructive mathematics. |2 fast |0 (OCoLC)fst00876172 | |
| 700 | 1 | |a Dalen, D. van |q (Dirk), |d 1932- | |
| 776 | 0 | 8 | |i Print version: |a Troelstra, A.S. (Anne Sjerp). |t Constructivism in mathematics. |d Amsterdam : North-Holland, 1988 |w (DLC) 88005240 |
| 830 | 0 | |a Studies in logic and the foundations of mathematics ; |v v. 121. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444702661 |z Texto completo |