Elements of logical reasoning:
Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBG01 URL des Erstveröffentlichers |
| Zusammenfassung: | Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 01 Feb 2016) |
| Beschreibung: | 1 online resource (ix, 264 pages) |
| ISBN: | 9781139567862 |
| DOI: | 10.1017/CBO9781139567862 |
Internformat
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| 245 | 1 | 0 | |a Elements of logical reasoning |c Jan von Plato |
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| 505 | 8 | |a Machine generated contents note: Part I. First Steps in Logical Reasoning: 1. Starting points; 2. Rules of proof; 3. Natural deduction; 4. Proof search; 5. Classical natural deduction; 6. Proof search in classical logic; 7. The semantics of propositional logic; Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers; 9. Derivations in predicate logic; 10. The semantics of predicate logic; Part III. Beyond Pure Logic: 11. Equality and axiomatic theories; 12. Elements of the proof theory of arithmetic; Part IV. Complementary Topics: 13. Normalization and cut elimination; 14. Deductive machinery from Aristotle to Heyting | |
| 520 | |a Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science | ||
| 650 | 4 | |a Logic, Symbolic and mathematical | |
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Datensatz im Suchindex
| _version_ | 1804176848351920128 |
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| any_adam_object | |
| author | Von Plato, Jan |
| author_facet | Von Plato, Jan |
| author_role | aut |
| author_sort | Von Plato, Jan |
| author_variant | p j v pj pjv |
| building | Verbundindex |
| bvnumber | BV043923745 |
| classification_rvk | CC 2500 |
| collection | ZDB-20-CBO |
| contents | Machine generated contents note: Part I. First Steps in Logical Reasoning: 1. Starting points; 2. Rules of proof; 3. Natural deduction; 4. Proof search; 5. Classical natural deduction; 6. Proof search in classical logic; 7. The semantics of propositional logic; Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers; 9. Derivations in predicate logic; 10. The semantics of predicate logic; Part III. Beyond Pure Logic: 11. Equality and axiomatic theories; 12. Elements of the proof theory of arithmetic; Part IV. Complementary Topics: 13. Normalization and cut elimination; 14. Deductive machinery from Aristotle to Heyting |
| ctrlnum | (ZDB-20-CBO)CR9781139567862 (OCoLC)967409953 (DE-599)BVBBV043923745 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| doi_str_mv | 10.1017/CBO9781139567862 |
| format | Electronic eBook |
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| id | DE-604.BV043923745 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:42Z |
| institution | BVB |
| isbn | 9781139567862 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029332823 |
| oclc_num | 967409953 |
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| owner_facet | DE-12 DE-473 DE-BY-UBG DE-92 |
| physical | 1 online resource (ix, 264 pages) |
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| publishDate | 2013 |
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| publisher | Cambridge University Press |
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| spelling | Von Plato, Jan Verfasser aut Elements of logical reasoning Jan von Plato Cambridge Cambridge University Press 2013 1 online resource (ix, 264 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 01 Feb 2016) Machine generated contents note: Part I. First Steps in Logical Reasoning: 1. Starting points; 2. Rules of proof; 3. Natural deduction; 4. Proof search; 5. Classical natural deduction; 6. Proof search in classical logic; 7. The semantics of propositional logic; Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers; 9. Derivations in predicate logic; 10. The semantics of predicate logic; Part III. Beyond Pure Logic: 11. Equality and axiomatic theories; 12. Elements of the proof theory of arithmetic; Part IV. Complementary Topics: 13. Normalization and cut elimination; 14. Deductive machinery from Aristotle to Heyting Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science Logic, Symbolic and mathematical Reasoning Erscheint auch als Druck-Ausgabe 978-1-107-03659-8 Erscheint auch als Druck-Ausgabe 978-1-107-61077-4 https://doi.org/10.1017/CBO9781139567862 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Von Plato, Jan Elements of logical reasoning Machine generated contents note: Part I. First Steps in Logical Reasoning: 1. Starting points; 2. Rules of proof; 3. Natural deduction; 4. Proof search; 5. Classical natural deduction; 6. Proof search in classical logic; 7. The semantics of propositional logic; Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers; 9. Derivations in predicate logic; 10. The semantics of predicate logic; Part III. Beyond Pure Logic: 11. Equality and axiomatic theories; 12. Elements of the proof theory of arithmetic; Part IV. Complementary Topics: 13. Normalization and cut elimination; 14. Deductive machinery from Aristotle to Heyting Logic, Symbolic and mathematical Reasoning |
| title | Elements of logical reasoning |
| title_auth | Elements of logical reasoning |
| title_exact_search | Elements of logical reasoning |
| title_full | Elements of logical reasoning Jan von Plato |
| title_fullStr | Elements of logical reasoning Jan von Plato |
| title_full_unstemmed | Elements of logical reasoning Jan von Plato |
| title_short | Elements of logical reasoning |
| title_sort | elements of logical reasoning |
| topic | Logic, Symbolic and mathematical Reasoning |
| topic_facet | Logic, Symbolic and mathematical Reasoning |
| url | https://doi.org/10.1017/CBO9781139567862 |
| work_keys_str_mv | AT vonplatojan elementsoflogicalreasoning |