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14 Cards in this Set
- Front
- Back
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propositional logic
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the fundamental elements are whole statements
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simple statement
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one that does not contain any other statement as a component; denoted by single uppercase letters
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compound statement
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one that contains at least one simple statement as a component
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negation
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it is not the case that...
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conjunctive statement/conjunction
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D and C
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disjunctive statement
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either A or B
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conditional statement
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if A then B
A= antecedent B= consequent material implications |
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biconditional statement
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A if and only if B
material equivalence |
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main operator
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one of the symbols- has as its scope everything else in the statement
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truth value- negation
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~p is false when p is true
~p is true when p is false |
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truth value- conjunction
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true when its two conjuncts are true and is false in all other cases
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truth value- disjunction
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true when at least one of the conjuncts is true and otherwise false
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truth value- conditional
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false when the antecedent is true and the consequent is false
true in all other case |
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truth value- biconditional
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true when its two components have the same truth value
otherwise false |
