Logic deMYSTiFied:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
2011
|
| Schriftenreihe: | Hard stuff made easy
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 375 S. Ill., graph. Darst. |
| ISBN: | 9780071701280 |
Internformat
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-021157211 | ||
Datensatz im Suchindex
| _version_ | 1804143855068512256 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
PREFACE XVII
CHAPTER 1 ARGUMENTS, VALIDITY, AND TRUTH TABLES 1 WHAT S LOGIC ABOUT? 2
TERMINOLOGY 2
LOGICAL ARGUMENTS 2
WHAT S LOGIC GOOD FOR? 3
LOGICAL FORM 3
AN EXAMPLE 4
WHEN TRUTH DOESN T MATTER 4
WHEN MEANING DOESN T MATTER 4
RULESFOR REASONING 5
IDENTITY 5
CONTRADICTION 6
TRUE OR FALSE 6
SENTENCE FORMS 6
SUBJECTNERB (SV)STATEMENTS 6
SUBJECTNERB/OBJECT (SVO)STATEMENTS 7
SUBJECT/LINKING VERBLCOMPLEMENT (SLVC)STATEMENTS 7 SYMBOLS AND
OPERATIONS 8
LOGICAL NEGATION (NOT) 8
LOGICAL CONJUNCTION (AND) 9
INCLUSIVE LOGICAL DISJUNCTION (OR) 9
EXCLUSIVE LOGICAL DISJUNCTION (XOR) 10
LOGICALLMPLICATION (LFITHEN) 11
LOGICAL EQUIVALENCE (LFF) 12
VU
IMAGE 2
11M LOGIC DEMYSTIFIED
TABLES FOR BASIC OPERATIONS 14
TABLE FOR LOGICAL NEGATION 14
TABLE FOR CONJUNCTION 14
TABLES FOR LOGICAL DISJUNCTION 15
TABLE FOR LOGICALLMPLICATION 15
TABLE FOR LOGICAL EQUIVALENCE 16
A QUICK PROOF 17
PRECEDENCE 18
EXAMPLES OF PRECEDENCE 19
PROOFS USING TRUTH TABLES 20
REVERSING THE ORDER OF A CONJUNCTION 21
GROUPING OF CONJUNCTIONS 21
REVERSING THE ORDER OF AN INCLUSIVE DISJUNCTION 23
GROUPING OF INCLUSIVE DISJUNCTIONS 23
REVERSING THE ORDER OF AN IMPLICATION 25
UNGROUPING THE NEGATION OF A CONJUNCTION 25
UNGROUPING THE NEGATION OF AN INCLUSIVE DISJUNCTION 26
REGROUPING WITH MIXED OPERATIONS 27
TRUTH TABLES HAVE POWER! 27
QUIZ 31
CHAPTER 2 PROPOSITIONAL LOGIC A FORMAL SYSTEM PROPOSITIONAL FORMULAS
(PFS) IS THIS MATHEMATICS?
CONTRADICTION SEQUENTS BACKING UP THE ARGUMENT ASSUMPTION (A)
DOUBLE NEGATION (DN) CONJUNCTION INTRODUCTION (AI) CONJUNCTION
ELIMINATION (AE)
DISJUNCTION INTRODUCTION (VI) DISJUNCTION ELIMINATION (VE) CONDITIONAL
PROOF (CP) AND THEOREMS BICONDITIONALLNTRODUCTION (T-71)
BICONDITIONAL ELIMINATION (T-7E) SUBSTITUTION LAWS LAW OF CONTRADICTION
LAW OF EXCLUDED MIDDLE
33 34 34 35
35 36 37 37
38 39 39 40 40 42 44 45 45 48 48 48
IMAGE 3
CHAPTER3
LAW OF DOUBLE NEGATION COMMUTATIVE LAWS ASSOCIATIVE LAWS LAW OF
IMPLICATION REVERSAL
DEMORGAN S LAWS DISTRIBUTIVE LAWS INTERDERIVABILITY (-U-),DERIVING LAWS,
AND THEOREM INTRODUCTION (TI) QUIZ
PREDICATE LOGIC SYMBOLIZING SENTENCE STRUCTURE FORMAL PREDICATES FORMAL
SUBJECTS: NAMES
FORMAL SUBJECTS: VARIABLES PREDICATE SENTENCE FORMULAS MORE PREDICATE
SENTENCES IDENTITY (=)
BUILDING MORE COMPLEX FORMULAS QUANTIFIED STATEMENTS SOME VERSUS ALL THE
EXISTENTIAL QUANTIFIER (3)
THE UNIVERSAL QUANTIFIER ( V ) THE UNIVERSE MULTIPLE QUANTIFIERS
TRANSLATING THE QUANTIFIERS LAWS OF QUANTIFIERTRANSFORMATION LOGICAL
RELATIONSHIPS: THE SQUARE OF OPPOSITION WELL-FORMED FORMULAS
PROPERTIES OFTWO-PART RELATIONS SYMMETRY ASYMMETRY ANTISYMMETRY
NONSYMMETRY REFLEXIVITY IRREFLEXIVITY NONREFLEXIVITY TRANSITIVITY
INTRATRA NSITIVITY NONTRANSITIVITY EQUIVALENCE RELATIONS
CONTENTS IX
49
49 50 51 53
54
54 57
61 62 62 62
62 63 64 65
65 66 66 67
68 68 70 72
72
73 74 75 75
76 76 76 77
77 77 77 78
78 78
IMAGE 4
X LOGIC DEMYSTIFIED
CHAPTER4
PREDICATE PROOFS EXISTENTIALLNTRODUCTION (31) EXISTENTIAL ELIMINATION
(3E) UNIVERSALLNTRODUCTION (VI)
UNIVERSAL ELIMINATION (VE) IDENTITY INTRODUCTION (=1) IDENTITY
ELIMINATION (=E) CONVENTIONS FOR PREDICATE PROOFS SYLLOGISMS
A SAMPIE SYLLOGISM ALLOWED PROPOSITIONS TERMS AND ARGUMENTS CONVERSION
LAWS
C1ASSIFYING SYLLOGISMS: MOOD AND FIGURE TESTING SYLLOGISTIC ARGUMENTS
VALID SYLLOGISMS OTHER KINDS OF SYLLOGISM QUIZ
A BOOT CAMP FOR RIGOR DEFINITIONS ELEMENTARYTERMS UNE SEGMENT
HALF-OPEN UNE SEGMENT OPEN UNE SEGMENT LENGTH OF UNE SEGMENT
CLOSED-ENDED RAY OPEN-ENDED RAY
POINT OF INTERSECTION COLLINEAR POINTS COPLANAR POINTS COINCIDENT UNES
COLLINEAR UNE SEGMENTS AND RAYS TRANSVERSAL PARALLEL UNES PARALLEL UNE
SEGMENTS
PARALLEL RAYS ANGLE MEASURE OF ANGLE STRAIGHT ANGLE
SUPPLEMENTARY ANGLES RIGHT ANGLE
78 79 79 80
81 81 82 82
86 87 87 88
89 89 90 93
93 95
99 100 100 100
101 101 102 102
102 102 103 103
103 103 104 104
104 104 106 108
108 109 109
IMAGE 5
(HAPTER 5
COMPLEMENTARY ANGLES PERPENDICULAR UNES, UNE SEGMENTS, AND RAYS TRIANGLE
SIMILAR AND CONGRUENTTRIANGLES
DIRECT SIMILARITY INVERSE SIMILARITY DIRECT CONGRUENCE INVERSE
CONGRUENCE TWO CRUCIAL FACTS
TWO MORE CRUCIAL FACTS AXIOMS THE TWO-POINT AXIOM THE EXTENSION AXIOM
THE RIGHT ANGLE AXIOM THE PARALLEL AXIOM THE SIDE-SIDE-SIDE (SSS)AXIOM
THE SIDE-ANGLE-SIDE (SAS) AXIOM THE ANGLE-SIDE-ANGLE (ASA) AXIOM
THE SIDE-ANGLE-ANGLE (SAA) AXIOM SOME PROOFS AT LAST ALTERNATE INTERIOR
ANGLES QUIZ
FALLACIES,PARADOXES,AND REVELATIONS THE PROBABILITY FALLACY BELIEF
PARALLEL WORLDS, FUZZY WORLDS
WE MUST OBSERVE WEAK AND FLAWED REASONING PROOF BY EXAMPLE BEGGING THE
QUESTION
HASTY GENERALIZATION MISUSE OF CONTEXT CIRCUMSTANCE FALLACIES WITH
SYLLOGISMS
FUN WITH SILLINESS INDUCTIVE REASONING SIMPLE PARADOXES A WIRE AROUND
THE EARTH
DIRECT-CONTRADICTION PARADOX WHO SHAVES HAP?
CONTENTS XI
109
109 110 112 112
113 115 117 118
119 120 120
120 120 121 121
122 123 123 125
130 142
145 146 146 146
147 148 148 150
151 151 151 152
154 155 158 158
160 161
IMAGE 6
XII LOGIC DEMYSTIFLED
CHAPTER6
ARRAW PARADOX THE FRAG AND THE WALL A GEOMETRYTRICK A PRAOF THAT -1 =
1
WHEEL PARADOX CLASSICAL PARADOXES EXECUTION PARADOX A TWO-PRANGED
DEFENSE
SALOON PARADOX BARBERSHOP PARADOX SHARK PARADOX RUSSELL AND GDEL
SETS TWO SPECIAL SETS THE PARADOX PROFESSOR N S MACHINE
WH AT DID YOU PROVE?
QUIZ
5TRATEGIES FOR PROOFS HOW DOES A THEORY EVOLVE? DEFINITIONS ELEMENTARY
TERMS
AXIOMS EUCLID S POSTULATES A DENIAL PRAPOSITIONS THEOREMS
A C1ASSICAL THEOREM LEMMAS CORALLARIES PROOFS, TRUTH, AND BEAUTY
TECHNIQUES
DEDUCTIVE REASONING WHAT S THE UNIVERSE?
WEAK THEOREMS DEMONSTRATING A WEAK THEOREM STRANG THEOREMS DEMONSTRATING
A STRANG THEOREM
REDUCTIO AD ABSURDUM REVISITED MATHEMATICALLNDUCTION
161 162 165 167
169 170 170 171
172 173 174 175
175 175 176 177
178 179
181 182 182 183
184 184 186 187
187 188 189 189
192 194 194 195
196 196 197 198
199 201
IMAGE 7
CHAPTER 7
CHAPTER 8
CAUSE, EFFECT, AND IMPLICATION CORRELATION AND CAUSATION COMPLICATIONS
QUIZ
BOOLEAN ALGEBRA NEW SYMBOLS FOR OLD OPERATIONS THE NOT OPERATION (-) THE
AND OPERATION (X)
THE OR OPERATION (+) BOOLEAN IMPLICATION (~) BOOLEAN EQUIVALENCE (=)
TRUTH TABLES, BOOLEAN STYLE
TRUTH TABLE FOR BOOLEAN NEGATION (NOT) TRUTH TABLE FOR BOOLEAN
MULTIPLICATION (AND) TRUTH TABLE FOR BOOLEAN ADDITION (OR) TRUTH TABLE
FOR BOOLEAN IMPLICATION (LFFTHEN)
TRUTH TABLE FOR BOOLEAN EQUALITY (LFF) BASIC BOOLEAN LAWS PRECEDENCE
CONTRADICTION
LAW OF DOUBLE NEGATION COMMUTATIVE LAWS ASSOCIATIVE LAWS
LAW OF THE CONTRA POSITIVE DEMORGAN S LAW FOR PRODUCTS DEMORGAN S LAW
FOR SUMS DISTRIBUTIVE LAW QUIZ
THE LOGICOF SETS SET FUNDAMENTALS TO BELONG, OR NOT TO BELONG LISTING
THE ELEMENTS
THE EMPTY SET FINITE OR INFINITE?
SETS WITHIN SETS VENN DIAGRAMS PEOPLE AND NUMBERS SUBSETS
CONTENTS XIII
205
205 208 212
215 216 216 216
217 218 219 220
221 221 221 222
222 227 227 228
228 228 229 229
230 230 230 236
239 240 240 240
241 241 242 244
244 245
IMAGE 8
XIV LOGIC DEMYSTIFIED
CHAPTER9
PROPER SUBSETS CONGRUENT SETS DISJOINT SETS OVERLAPPING SETS SET
INTERSECTION
INTERSECTION OFTWO CONGRUENT SETS INTERSECTION WITH THE NULL SET
INTERSECTION OFTWO DISJOINT SETS INTERSECTION OFTWO OVERLAPPING SETS SET
UNION
UNION OFTWO CONGRUENT SETS UNION WITH THE NULL SET UNION OFTWO DISJOINT
SETS UNION OFTWO OVERLAPPING SETS QUIZ
THE LOGIC OF MACHINES NUMERATION SYSTEMS DECIMAL BINARY
OCTAL HEXADECIMAL DIGITAL CIRCUITS POSITIVE VERSUS NEGATIVE LOGIC
LOGIC GATES BLACK BOXES FORMS OF BINARY DATA CLOCKS COUNTERS DIGITAL
SIGNALS
BITS BYTES BAUD EXAMPLES OF DATA SPEED ANALOG-TO-DIGITAL CONVERSION
DIGITAL-TO-ANALOG CONVERSION SERIAL VERSUS PARALLEL DIGITAL SIGNAL
PROCESSING DIGITAL COLOR QUIZ
245 246 247 248
253 253 253 253
254 256 257 257
257 258 263
265 266 267 267
268 268 274 274
275 276 277 278
278 281 281 282
282 283 283 285
285 286 286 292
IMAGE 9
CHAPTER 10 REALITY REMYSTIFIED
THE ILLOGIC OFTIME THE LIGHT-BEAM CONUNDRUM SYNCHRONIZE YOUR WATCHESL
WHEN IS A SECOND NOT A SECOND?
TRAVELING INTO THE FUTURE TRAVELING INTO THE PAST THE TWIN PARADOX THE
ILLOGIC OF MATTER AND SPACE
PARTICLES WITHOUT END A MAD PROFESSOR S MONOLOGUE ORDER FROM RANDOMNESS
THE ULTIMATE STATE OF ORDER
HYPERSPACE HYPOSPACE TIME-SPACE TIME AS A DIMENSION
INFINITY-SPACE THE DWINDLING-DISPLACEMENT EFFECT THE IILOGIC OF CHAOS
WAS ANDREW DUE ?
SIUMPS AND SPURTS CORRELATION, COINCIDENCE, OR CHAOS?
SCALE-RECURRENT PATTERNS THE MAXIMUM UNSWIMMABLE TIME THE BUTTERFLY
EFFECT SCALE PARALLEIS THE MALTHUSIAN MODEL
A BUMPY RIDE WH AT IS RANDOMNESS?
FINAL EXAM ANSWERS TO QUIZZESAND FINAL EXAM SUGGESTEDADDITIONAL READING
INDEX
CONTENTS XV
297
298 298 299 300
303 304 304 308
308 309 310 311
312 313 314 314
316 317 319 319
319 320 321 322
323 324 325 326
329
331 363 365 367
|
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| spelling | Boutelle, Anthony Verfasser aut Logic deMYSTiFied Anthony Boutelle, Stan Gibilisco New York [u.a.] McGraw-Hill 2011 XVII, 375 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hard stuff made easy Logic Textbooks Logik (DE-588)4036202-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Logik (DE-588)4036202-4 s DE-604 Gibilisco, Stan 1953- Verfasser (DE-588)137527039 aut V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021157211&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boutelle, Anthony Gibilisco, Stan 1953- Logic deMYSTiFied Logic Textbooks Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4036202-4 (DE-588)4151278-9 |
| title | Logic deMYSTiFied |
| title_auth | Logic deMYSTiFied |
| title_exact_search | Logic deMYSTiFied |
| title_full | Logic deMYSTiFied Anthony Boutelle, Stan Gibilisco |
| title_fullStr | Logic deMYSTiFied Anthony Boutelle, Stan Gibilisco |
| title_full_unstemmed | Logic deMYSTiFied Anthony Boutelle, Stan Gibilisco |
| title_short | Logic deMYSTiFied |
| title_sort | logic demystified |
| topic | Logic Textbooks Logik (DE-588)4036202-4 gnd |
| topic_facet | Logic Textbooks Logik Einführung |
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