Logic: 550 fully solved problems
550 fully solved problems, coverage of nonclassical logics and the probability calculus, plus support for all major logic textbooks
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| Previous Title: | Schaum's outline of theory and problems of logic |
|---|---|
| Main Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
New York ; Chicago ; San Francisco ; Lisbon ; London ; Madrid ; Mexico City ; Milan ; New Delhi ; San Juan ; Seoul ; Singapore ; Sydney ; Toronto
McGraw-Hill
[2011]
|
| Edition: | Second edition |
| Series: | Schaum's outline series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | 550 fully solved problems, coverage of nonclassical logics and the probability calculus, plus support for all major logic textbooks |
| Item Description: | Früher erschienen u.d.T.: Schaum's outline of theory and problems of logic |
| Physical Description: | vii, 322 Seiten Diagramme |
| ISBN: | 9780071755467 0071755462 |
Staff View
MARC
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| 100 | 1 | |a Nolt, John |d 1950- |e Verfasser |0 (DE-588)1060789604 |4 aut | |
| 245 | 1 | 0 | |a Logic |b 550 fully solved problems |c John Nolt, Ph.D. (Associate Professor of Philosophy, University of Tennessee), Dennis Rohatyn, Ph.D. (Professor of Philosophy, University of San Diego), Achille Varzi, Ph.D. (Assistant Professor of Philosophy, Columbia University) |
| 246 | 1 | 3 | |a Schaum's outlines Logic |
| 246 | 1 | 3 | |a Schaum's outline of theory and problems of logic |
| 250 | |a Second edition | ||
| 264 | 1 | |a New York ; Chicago ; San Francisco ; Lisbon ; London ; Madrid ; Mexico City ; Milan ; New Delhi ; San Juan ; Seoul ; Singapore ; Sydney ; Toronto |b McGraw-Hill |c [2011] | |
| 264 | 4 | |c © 2011 | |
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| 490 | 0 | |a Schaum's outline series | |
| 500 | |a Früher erschienen u.d.T.: Schaum's outline of theory and problems of logic | ||
| 520 | |a 550 fully solved problems, coverage of nonclassical logics and the probability calculus, plus support for all major logic textbooks | ||
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Record in the Search Index
| _version_ | 1817529954868396032 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
CHAPTER 1 ARGUMENT STRUCTURE 1
1.1 WHAT IS AN ARGUMENT?
.*.
1
1.2 IDENTIFYING ARGUMENTS 3
1.3 COMPLEX ARGUMENTS
.:.
6
1.4 ARGUMENT DIAGRAMS 7
1.5 CONVERGENT ARGUMENTS
:. 10
1.6 IMPLICIT STATEMENTS 12
1.7 USE AND MENTION 16
1.8 FORMAL VS. INFORMAL LOGIC; 17
CHAPTER 2 ARGUMENT EVALUATION 21
. 2.1 EVALUATIVE CRITERIA
:. 21
2.2 TRUTH OF PREMISES .'
:. 21
2.3 VALIDITY AND INDUCTIVE PROBABILITY 23
2.4 RELEVANCE ,. 31
2.5 THE REQUIREMENT OF TOTAL EVIDENCE 34
CHAPTER 3 PROPOSITIONAL LOGIC 44
3.1 ARGUMENT FORMS 44
3.2 LOGICAL OPERATORS :. 47
3.3 FORMALIZATION L . ,. 50
3.4 SEMANTICS OF THE LOGICAL OPERATORS 55
3.5 TRUTH TABLES FOR WFFS 60
3.6 TRUTH TABLES FOR ARGUMENT FORMS 64
3.7 REFUTATION TREES
.'.
68
CHAPTER 4 TUE PROPOSITIONAL CALCULUS 81
4.1 THE NOTION OF INFERENCE 81
4.2 NONHYPOTHETICAL INFERENCE RULES 81
4.3 HYPOTHETICAL RULES 87
4.4 DERIVED RULES 97
4.5
THEOREMS.
101
4.6
EQUIVALENCES.
102
CHAPTER 5 TUE LOGIC OF CATEGORICAL STATEMENTS 111
5.1 CATEGORICAL STATEMENTS 111
5.2 VENN DIAGRAMS 116
5.3 IMMEDIATE INFERENCES ~. 119
5.4 CATEGORICAL SYLLOGISMS 123
V
IMAGE 2
VI
CHAPTER 6
CHAPTER 7
CHAPTER 8
CHAPTER 9
CHAPTER 10
CHAPTER 11
CONTENTS
PREDICATE LOGIC :. 130
6.1 QUANTIFIERS AND VARIABLES . 130
6.2 PREDICATES AHD NAM ES 134
6.3 FORMATION RULES . 139
6.4 MODELS 142
6.5 REFUTATION TREES 150
6.6 IDENTITY ,. 158
THE PREDICATE CALCULUS 170
7.1 REASONING IN PREDIEATE LOGIC
.*.
170
7.2 INFERENCE RULES FOR THE UNIVERSAL QUANTIFIER 170
7.3 INFERENCE RULES FOR THE EXISTENTIAL QUANTIFIER 176
7.4 THEOREMS AND QUANTIFIER EQUIVALENCE RULES 184
7.5 INFERENCE RULES FOR THE IDENTITY PREDICATE
.*.
190
FALLACIES 195
8.1 CLASSIFIEATION OF FALLACIES 195
8.2 FALLACIES OF RELEVANCE 196
8.3 CIRCULAR REASONING 205
8.4 SEMANTIC FALLACIES 206
8.5 INDUCTIVE FALLACIES 209
8.6 FORMAL FALLACIES 212
8.7 FALLACIES OF FALSE PREMISES 215
INDUCFION 223
9.1 STATEMENT STRENGTH ~. 223
9.2 STATISTICAL SYLLOGISM 226
9.3 STATISTICAL GENERALIZATION
:. 230
9.4 INDUCTIVE GENERALIZATION AND SIMPLE INDUCTION 234
9.5 INDUCTION BY ANALOGY 237
9.6 MILL'S METHODS 240
9.7 SCIENTIFIC THEORIES 247
THE PROBABILITY CALCULUS 254
10.1 THE PROBABILITY OPERATOR 254
10.2 AXIOMS AND THEOREMS OF THE PROBABILITY CALCULUS 256
10.3 CONDITIONAL PROBABILITY 260
10.4 APPLIEATION OF THE PROBABILITY CALCULUS 269
FURTHER DEVELOPMENTS IN FORMAL LOGIC 277
11.1 EXPRESSIVE LIMITATIONS OF PREDICATE LOGIC 277
11.2 HIGHER-ORDER LOGICS 279
11.3 PREDICATE LOGIC WITH FUNCTION SYMBOLS 284
11.4 FORMAL ARITHMETIC 287
11.5 FORMAL DEFINITIONS 293
11.6 DEFINITE DESCRIPTIONS 294
11.7 MODAL LOGIC 296
IMAGE 3
CONTENTS
VII
GLOSSARY 307
INDEX 317 |
| any_adam_object | 1 |
| author | Nolt, John 1950- Rohatyn, Dennis A. 1949- Varzi, Achille C. 1958- |
| author_GND | (DE-588)1060789604 (DE-588)1158023987 (DE-588)154577324 |
| author_facet | Nolt, John 1950- Rohatyn, Dennis A. 1949- Varzi, Achille C. 1958- |
| author_role | aut aut aut |
| author_sort | Nolt, John 1950- |
| author_variant | j n jn d a r da dar a c v ac acv |
| building | Verbundindex |
| bvnumber | BV037393820 |
| classification_rvk | CC 2400 CC 2500 SK 130 ST 125 |
| ctrlnum | (OCoLC)713011346 (DE-599)BVBBV037393820 |
| dewey-full | 160/.202 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 160 - Philosophical logic |
| dewey-raw | 160/.202 |
| dewey-search | 160/.202 |
| dewey-sort | 3160 3202 |
| dewey-tens | 160 - Philosophical logic |
| discipline | Informatik Mathematik Philosophie |
| edition | Second edition |
| format | Book |
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| id | DE-604.BV037393820 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-04T17:00:37Z |
| institution | BVB |
| isbn | 9780071755467 0071755462 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022546654 |
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| owner_facet | DE-29 DE-703 DE-473 DE-BY-UBG DE-20 |
| physical | vii, 322 Seiten Diagramme |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | Schaum's outline series |
| spelling | Nolt, John 1950- Verfasser (DE-588)1060789604 aut Logic 550 fully solved problems John Nolt, Ph.D. (Associate Professor of Philosophy, University of Tennessee), Dennis Rohatyn, Ph.D. (Professor of Philosophy, University of San Diego), Achille Varzi, Ph.D. (Assistant Professor of Philosophy, Columbia University) Schaum's outlines Logic Schaum's outline of theory and problems of logic Second edition New York ; Chicago ; San Francisco ; Lisbon ; London ; Madrid ; Mexico City ; Milan ; New Delhi ; San Juan ; Seoul ; Singapore ; Sydney ; Toronto McGraw-Hill [2011] © 2011 vii, 322 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Schaum's outline series Früher erschienen u.d.T.: Schaum's outline of theory and problems of logic 550 fully solved problems, coverage of nonclassical logics and the probability calculus, plus support for all major logic textbooks Logic / Outlines, syllabi, etc Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Logik (DE-588)4036202-4 s DE-604 Mathematische Logik (DE-588)4037951-6 s Rohatyn, Dennis A. 1949- Verfasser (DE-588)1158023987 aut Varzi, Achille C. 1958- Verfasser (DE-588)154577324 aut Ersatz von Schaum's outline of theory and problems of logic V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022546654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nolt, John 1950- Rohatyn, Dennis A. 1949- Varzi, Achille C. 1958- Logic 550 fully solved problems Logic / Outlines, syllabi, etc Mathematische Logik (DE-588)4037951-6 gnd Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4036202-4 |
| title | Logic 550 fully solved problems |
| title_alt | Schaum's outlines Logic Schaum's outline of theory and problems of logic |
| title_auth | Logic 550 fully solved problems |
| title_exact_search | Logic 550 fully solved problems |
| title_full | Logic 550 fully solved problems John Nolt, Ph.D. (Associate Professor of Philosophy, University of Tennessee), Dennis Rohatyn, Ph.D. (Professor of Philosophy, University of San Diego), Achille Varzi, Ph.D. (Assistant Professor of Philosophy, Columbia University) |
| title_fullStr | Logic 550 fully solved problems John Nolt, Ph.D. (Associate Professor of Philosophy, University of Tennessee), Dennis Rohatyn, Ph.D. (Professor of Philosophy, University of San Diego), Achille Varzi, Ph.D. (Assistant Professor of Philosophy, Columbia University) |
| title_full_unstemmed | Logic 550 fully solved problems John Nolt, Ph.D. (Associate Professor of Philosophy, University of Tennessee), Dennis Rohatyn, Ph.D. (Professor of Philosophy, University of San Diego), Achille Varzi, Ph.D. (Assistant Professor of Philosophy, Columbia University) |
| title_old | Schaum's outline of theory and problems of logic |
| title_short | Logic |
| title_sort | logic 550 fully solved problems |
| title_sub | 550 fully solved problems |
| topic | Logic / Outlines, syllabi, etc Mathematische Logik (DE-588)4037951-6 gnd Logik (DE-588)4036202-4 gnd |
| topic_facet | Logic / Outlines, syllabi, etc Mathematische Logik Logik |
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