Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results
Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories.The manuscript first elaborates on sentential logic and first-order predicate logic. Discussions focus on first-order pr...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
Elsevier Science
2014
|
| Edition: | 2nd ed |
| Subjects: | |
| Online Access: | FAW01 |
| Summary: | Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories.The manuscript first elaborates on sentential logic and first-order predicate logic. Discussions focus on first-order predicate logic with identity and operation symbols, first-order predicate logic with identity, completeness theorems, elementary theories, deduction theorem, interpretations, truth, and validity, sentential connectives, and tautologies. The text then tackles second-order predicate logic, as well as second-order theories, theory of definition, and second-order predicate logic F2. The publication takes a look at natural and real numbers, incompleteness, and the axiomatic set theory. Topics include paradoxes, recursive functions and relations, Gödel's first incompleteness theorem, axiom of choice, metamathematics of R and elementary algebra, and metamathematics of N. The book is a valuable reference for mathematicians and researchers interested in mathematical logic and formalized theories |
| Item Description: | Description based on publisher supplied metadata and other sources |
| Physical Description: | 1 online resource (248 pages) |
| ISBN: | 9781483257976 9780720420982 |
Staff View
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| indexdate | 2024-07-10T07:30:55Z |
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| isbn | 9781483257976 9780720420982 |
| language | English |
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| spelling | Rogers, Robert L. Verfasser aut Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results 2nd ed Amsterdam Elsevier Science 2014 © 1971 1 online resource (248 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories.The manuscript first elaborates on sentential logic and first-order predicate logic. Discussions focus on first-order predicate logic with identity and operation symbols, first-order predicate logic with identity, completeness theorems, elementary theories, deduction theorem, interpretations, truth, and validity, sentential connectives, and tautologies. The text then tackles second-order predicate logic, as well as second-order theories, theory of definition, and second-order predicate logic F2. The publication takes a look at natural and real numbers, incompleteness, and the axiomatic set theory. Topics include paradoxes, recursive functions and relations, Gödel's first incompleteness theorem, axiom of choice, metamathematics of R and elementary algebra, and metamathematics of N. The book is a valuable reference for mathematicians and researchers interested in mathematical logic and formalized theories Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mengenlehre (DE-588)4074715-3 gnd rswk-swf Aussagenlogik (DE-588)4136098-9 gnd rswk-swf Formalisierung (DE-588)4123217-3 gnd rswk-swf Prädikatenlogik (DE-588)4046974-8 gnd rswk-swf Axiomatik (DE-588)4004038-0 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 s Formalisierung (DE-588)4123217-3 s 1\p DE-604 Aussagenlogik (DE-588)4136098-9 s 2\p DE-604 Axiomatik (DE-588)4004038-0 s 3\p DE-604 Mengenlehre (DE-588)4074715-3 s 4\p DE-604 Prädikatenlogik (DE-588)4046974-8 s 5\p DE-604 Erscheint auch als Druck-Ausgabe Rogers, Robert L . Mathematical Logic and Formalized Theories : A Survey of Basic Concepts and Results 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rogers, Robert L. Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd Mengenlehre (DE-588)4074715-3 gnd Aussagenlogik (DE-588)4136098-9 gnd Formalisierung (DE-588)4123217-3 gnd Prädikatenlogik (DE-588)4046974-8 gnd Axiomatik (DE-588)4004038-0 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4074715-3 (DE-588)4136098-9 (DE-588)4123217-3 (DE-588)4046974-8 (DE-588)4004038-0 |
| title | Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results |
| title_auth | Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results |
| title_exact_search | Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results |
| title_full | Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results |
| title_fullStr | Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results |
| title_full_unstemmed | Mathematical Logic and Formalized Theories A Survey of Basic Concepts and Results |
| title_short | Mathematical Logic and Formalized Theories |
| title_sort | mathematical logic and formalized theories a survey of basic concepts and results |
| title_sub | A Survey of Basic Concepts and Results |
| topic | Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd Mengenlehre (DE-588)4074715-3 gnd Aussagenlogik (DE-588)4136098-9 gnd Formalisierung (DE-588)4123217-3 gnd Prädikatenlogik (DE-588)4046974-8 gnd Axiomatik (DE-588)4004038-0 gnd |
| topic_facet | Logic, Symbolic and mathematical Mathematische Logik Mengenlehre Aussagenlogik Formalisierung Prädikatenlogik Axiomatik |
| work_keys_str_mv | AT rogersrobertl mathematicallogicandformalizedtheoriesasurveyofbasicconceptsandresults |