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Mathematical logic and formalized theories : a survey of basic concepts and results /
Mathematical Logic and Formalized Theories.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
North-Holland,
[1974, 1971]
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn893438054 | ||
| 003 | OCoLC | ||
| 005 | 20231120111814.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141020s1974 ne ob 001 0 eng d | ||
| 040 | |a OPELS |b eng |e rda |e pn |c OPELS |d N$T |d OCLCF |d EBLCP |d DEBSZ |d MERUC |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 898769094 | ||
| 020 | |a 9781483257976 |q (electronic bk.) | ||
| 020 | |a 1483257975 |q (electronic bk.) | ||
| 020 | |z 9780720420982 | ||
| 035 | |a (OCoLC)893438054 |z (OCoLC)898769094 | ||
| 050 | 4 | |a QA9 | |
| 072 | 7 | |a MAT |x 000000 |2 bisacsh | |
| 082 | 0 | 4 | |a 511/.3 |2 22 |
| 100 | 1 | |a Rogers, Robert, |d 1926- |e author. | |
| 245 | 1 | 0 | |a Mathematical logic and formalized theories : |b a survey of basic concepts and results / |c Robert Rogers. |
| 264 | 1 | |a Amsterdam : |b North-Holland, |c [1974, 1971] | |
| 264 | 4 | |c �1971 | |
| 300 | |a 1 online resource (xi, 235 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Mathematical logic and Formalized Theories: A Survey of Basic Concepts and Results; Copyright Page; Dedication; PREFACE; Table of Contents; CHAPTER I. THE SENTENTIAL LOGIC; 1.1. Introduction; 1.2. Sentential Connectives; 1.3. The Sentential Logic P. Symbols and Formulas; 1.4. Tautologies; 1.5. Axiom Schemata of P. Rules of Inference and Theorems; 1.6. Metamathematical Properties of P; CHAPTER II. THE FIRST-ORDER PREDICATE LOGIC: I; 2.1. The First-Order Predicate Logic F1. Symbols, Quantifiers and Formulas; 2.2. Interpretations. Truth and Validity. | |
| 505 | 8 | |a 2.3. Axiom Schemata of F . Rules of Inference and Theorems. Consistency of F 2.4. The Deduction Theorem; CHAPTER III. THE FIRST-ORDER PREDICATE LOGIC: II; 3.1. Elementary Theories; 3.2. Completeness Theorems; 3.3. Further Corollaries. Decision Problem; 3.4. The First-Order Predicate Logic With Identity; 3.5. The First-Order Predicate Logic With Identity and Operation Symbols; CHAPTER IV. THE SECOND-ORDER PREDICATE LOGIC. THEORY OF DEFINITION; 4.1. Introduction; 4.2. The Second-Order Predicate Logic F2; 4.3. Second-Order Theories; 4.4. Theory of Definition; CHAPTER V. THE NATURAL NUMBERS. | |
| 505 | 8 | |a 5.1. Introduction5.2. Elementary Arithmetic: The Theory N; 5.3. The Metamathematics of N; 5.4. Second-Order Arithmetic: The Theory N2; 5.5. The Metamathematics of N2; CHAPTER VI. THE REAL NUMBERS; 6.1. The Theory R; 6.2. The Metamathematics of R and of Elementary Algebra; 6.3. Second-Order Real Number Theory: The Theory R2; 6.4. The Metamathematics of R2; CHAPTER VII. AXIOMATIC SET THEORY; 7.1. Paradoxes; 7.2. The Zermelo-Fraenkel Axioms; 7.3. The Axiom of Choice; 7.4. The Metamathematics of ZF; 7.5. Strengthened Forms of ZF; CHAPTER VIIII. NCOMPLETENESS. UNDECIDABILITY; 8.1. Introduction. | |
| 505 | 8 | |a 8.2. Recursive Functions and Relations. Representability8.3. Arithmetization; 8.4. G�odel's First Incompleteness Theorem; 8.5. G�odel's Second Incompleteness Theorem; 8.6. Tarski's Theorem; 8.7. Decision Problem. Church's Thesis. Recursively Enumerable Sets; 8.8. Undecidability; AUTHOR INDEX; SUBJECT INDEX. | |
| 520 | |a Mathematical Logic and Formalized Theories. | ||
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 650 | 6 | |a Logique symbolique et math�ematique. |0 (CaQQLa)201-0001166 | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Logic, Symbolic and mathematical |2 fast |0 (OCoLC)fst01002068 | |
| 650 | 7 | |a Mathematische Logik |2 gnd |0 (DE-588)4037951-6 | |
| 655 | 7 | |a Formalisierte Theorie. |2 swd | |
| 776 | 0 | 8 | |i Print version: |a Rogers, Robert, 1926- |t Mathematical logic and formalized theories |z 0720420989 |w (OCoLC)614729662 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780720420982 |z Texto completo |