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2 Be Logical

INTERMEDIATE Logic part 1

QuestionAnswer
propositional logic a branch of formal, deductive logic in which the basic unit of thought is the proposition
proposition a statement, a sentence that has a TRUTH VALUE
truth-functional when a proposition's truth value DEPENDS upon the truth of its component PARTS
simple proposition a proposition w/ ONLY 1 component part
compound proposition a proposition w/ MORE THAN 1 component parts
logical operators words that combine or modify simple propositions to make compound propositions
propositional constant an UPPERcase letter that represents a SINGLE, GIVEN proposition
propositional variable a LOWERcase letter that represents any proposition
negation the logical operator that DENIES or contradicts a proposition
truth table a listing of the POSSIBLE truth values for a SET of one or more propositions
defining truth table displays the truth values produced by a logical operator modifying a minimum number of variables
conjunction a logical operator that joins two propositions & is true if & ONLY IF both the propositions are true
disjunction a logical operator that joins two propositions and is true if and only if one or both of the propositions is true
conditional operator asserts that one component implies the other; is false if and only if the antecedent is true and the consequent is false
biconditional operator is TRUE when both component propositions have the SAME truth value, and is FALSE when their truth values DIFFER
logically equivalent if and only if two propositions have IDENTICAL truth values in a truth table
tautology a proposition that is ALWAYS TRUE due to its logical structure
self-contradiction a proposition that is FALSE by logical structure
valid argument if the premises are true, the conclusion must also be true
invalid argument if the premises can be true and the conclusion false
Conjunction is True when p & q are True.
Disjunction is False when p & q are False.
Conditional is False when p is True and q is False.
Bi-conditional is True when p & q match.
Created by: MrsHough
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