Introduction to logic:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Routledge
2017
|
| Edition: | third edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 414 Seiten |
| ISBN: | 9781138910591 9781138910584 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface ix
Chapter 1: Introduction 1
1.1 Logic 1 1.3 Sound arguments 3
1.2 Valid arguments 1 1.4 The plan of this book 5
Part One
Syllogistic, Informal, and Inductive Logic
Chapter 2: Syllogistic Logic 6
2.1 Easier translations 6 2.5 Deriving conclusions 18
2.2 The star test 8 2.6 Venn diagrams 22
2.3 English arguments 11 2.7 Idiomatic arguments 26
2.4 Harder translations 15 2.8 The Aristotelian view 29
Chapter 3: Meaning and Definitions 31
3.1 Uses of language 31 3.5 Making distinctions 44
3.2 Lexical definitions 33 3.6 Analytic and synthetic 45
3.3 Stipulative definitions 38 3.7 A priori and a posteriori 47
3.4 Explaining meaning 40
Chapter 4: Fallacies and Argumentation 51
4.1 Good arguments 51 4.4 Constructing arguments 69
4.2 Informal fallacies 55 4.5 Analyzing arguments 72
4.3 Inconsistency 65
Chapter 5: Inductive Reasoning 75
5.1 The statistical syllogism 75 5.6 Analogy and other minds
5.2 Probability calculations 77 5.7 Mill s methods 94
5.3 Philosophical questions 82 5.8 Scientific laws 98 92
5.4 Reasoning from a sample 87 5.9 Best-explanation reasoning 105
5.5 Analogical reasoning 90 5.10 Problems with induction 106
vi INTRODUCTION TO LOGIC
Part Two
Classical Symbolic Logic
Chapter 6: Basic Propositional Logic 112
6.1 Easier translations 112 6.8 Harder translations 132
6.2 Basic truth tables 115 6.9 Idiomatic arguments 134
6.3 Truth evaluations 118 6.10 S-rules 136
6.4 Unknown evaluations 119 6.11 I-rules 139
6.5 Complex truth tables 120 6.12 Mixing S- and I-rules 143
6.6 The truth-table test 122 6.13 Extended inferences 144
6.7 The truth-assignment test 126 6.14 Logic and computers 145
Chapter 7: Propositional Proofs 146
7.1 Easier proofs 146 7.4 Harder refutations 170
7.2 Easier refutations 154 7.5 Copi proofs 174
7.3 Harder proofs 161 7.6 Truth trees 178
Chapter 8: Basic Quantificational Logic 182
8.1 Easier translations 182 8.4 Harder translations 196
8.2 Easier proofs 186 8.5 Harder proofs 198
8.3 Easier refutations 191 8.6 Copi proofs 203
Chapter 9: Relations and Identity
9.1 Identity translations 207 9.5 Relational proofs 220
9.2 Identity proofs 209 9.6 Definite descriptions 227
9.3 Easier relations 214 9.7 Copi proofs 229
9.4 Harder relations 216
207
LIST OF CONTENTS vii
Part Three
Advanced Symbolic Systems
Chapter 10: Basic Modal Logic 230
10.1 Translations 230 10.3 Refutations 241
10.2 Proofs 234
Chapter 11: Further Modal Systems 249
11.1 Galactic travel 249 11.3 Quantified proofs 257
11.2 Quantified translations 254 11.4 A sophisticated system 261
Chapter 12: Deontic and Imperative Logic 267
12.1 Imperative translations 267 12.3 Deontic translations 276
12.2 Imperative proofs 269 12.4 Deontic proofs 279
Chapter 13: Belief Logic 290
13.1 Belief translations 290 13.5 Rationality translations 303
13.2 Belief proofs 291 13.6 Rationality proofs 305
13.3 Believing and willing 298 13.7 A sophisticated system 309
13.4 Willing proofs 301
Chapter 14: A Formalized Ethical Theory 312
14.1 Practical reason 312 14.4 Starting the GR proof 320
14.2 Consistency 313 14.5 GR logical machinery 324
14.3 The golden rule 315 14.6 The symbolic GR proof 331
viii INTRODUCTION TO LOGIC
Part Four
Further Vistas
Chapter 15: Metalogic
15.1 Metalogical questions 334
15.2 Symbols 334
15.3 Soundness 336
Chapter 16: History of Logic
16.1 Ancient logic 348
16.2 Medieval logic 351
16.3 Enlightenment logic 353
Chapter 17: Deviant Logics
17.1 Many-valued logic 359
17.2 Paraconsistent logic 361
334
15.4 Completeness 338
15.5 An axiomatic system 341
15.6 Godel s theorem 342
348
16.4 Frege and Russell 354
16.5 After Principia 356
359
17.3 Intuitionist logic 364
17.4 Relevance logic 365
Chapter 18: Philosophy of Logic
18.1 Abstract entities 368
18.2 Metaphysical structures 369
18.3 The basis for logical laws 371
For Further Reading
Answers to Selected Problems
368
18.4 Truth and paradoxes
18.5 Logic s scope 376
374
377
378
Chapter 2 378 Chapter 7 387 Chapter 12 402
Chapter 3 379 Chapter 8 391 Chapter 13 404
Chapter 4 382 Chapter 9 394 Chapter 14 408
Chapter 5 383 Chapter 10 397
Chapter 6 385 Chapter 11 400
Index
409
|
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| spelling | Gensler, Harry J. 1945- Verfasser (DE-588)139927735 aut Introduction to logic Harry J. Gensler third edition New York Routledge 2017 x, 414 Seiten txt rdacontent n rdamedia nc rdacarrier Logic Logik (DE-588)4036202-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Logik (DE-588)4036202-4 s DE-604 Erscheint auch als Onlineausgabe 9781315693361 Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029716116&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gensler, Harry J. 1945- Introduction to logic Logic Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4036202-4 (DE-588)4151278-9 |
| title | Introduction to logic |
| title_auth | Introduction to logic |
| title_exact_search | Introduction to logic |
| title_full | Introduction to logic Harry J. Gensler |
| title_fullStr | Introduction to logic Harry J. Gensler |
| title_full_unstemmed | Introduction to logic Harry J. Gensler |
| title_short | Introduction to logic |
| title_sort | introduction to logic |
| topic | Logic Logik (DE-588)4036202-4 gnd |
| topic_facet | Logic Logik Einführung |
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