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27 Cards in this Set
- Front
- Back
Statement |
a sentence that is either true or false but not both |
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conjunction |
statement formed by combining 2 statements with the word and |
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Conjunctions are only true if both P and Q are true, and it is _______ in all other cases |
false |
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disjunction |
statement formed by combining 2 statements with the word or |
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disjunction is true when ________________ and only false when ________ |
1 or both of its parts are true, only false when both parts are false |
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negation |
if P is a statement, not P or P is false is negation of P |
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Conditional or Implication |
statement formed from 2 given statements by connecting them in the form "if _, then _" |
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hypothesis |
the if clause in a statement |
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conclusion |
the then clause in a statement |
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P->Q is always true except when P is _____ and Q is ________ |
true and false |
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converse of a conditional |
statement formed by interchanging the hypothesis and the conclusion |
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inverse of a conditional |
new statement formed by negating both the hypothesis and conclusion |
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contrapositive of a conditional |
new statement formed by exchanging the hypothesis and the conclusion and negation both of them |
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Conditional and _______ are equivalent |
contrapositive |
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converse and ______________ are equivalent |
inverse |
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inductive reasoning |
process of making a general conclusion based on specific examples |
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deductive reasoning |
process of making a conclusion by fitting a specific example into a general statement |
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You (can,cannot) _______ always prove a conclusion by inductive reasoning |
cannot |
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Where P and Q are statements, P AND Q is called the __________ of P and Q |
conjunction |
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Where R and S are statements, R OR S is called the __________ of R and S |
disjunction |
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Reaching a conclusion by looking at several examples is called _________ reasoning |
inductive |
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Reaching a conclusion by fitting a specific example into a general statement is called ________ reasoning |
deductive |
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A 2-column proof has _____ essential parts |
6 |
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The statement part of a 2-column proof should be written in __________ form |
if-then |
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The given part of a theorem is preceded by the word _______ |
if |
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The to prove part of a theorem is preceded by the word ___ |
then |
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A brief description telling how you are going to prove the statement is called the |
plan of proof |