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27 Cards in this Set

  • Front
  • Back

Statement

a sentence that is either true or false but not both

conjunction

statement formed by combining 2 statements with the word and

Conjunctions are only true if both P and Q are true, and it is _______ in all other cases

false

disjunction

statement formed by combining 2 statements with the word or

disjunction is true when ________________ and only false when ________

1 or both of its parts are true, only false when both parts are false

negation

if P is a statement, not P or P is false is negation of P

Conditional or Implication

statement formed from 2 given statements by connecting them in the form "if _, then _"

hypothesis

the if clause in a statement

conclusion

the then clause in a statement

P->Q is always true except when P is _____ and Q is ________

true and false

converse of a conditional

statement formed by interchanging the hypothesis and the conclusion

inverse of a conditional

new statement formed by negating both the hypothesis and conclusion

contrapositive of a conditional

new statement formed by exchanging the hypothesis and the conclusion and negation both of them

Conditional and _______ are equivalent

contrapositive

converse and ______________ are equivalent

inverse

inductive reasoning

process of making a general conclusion based on specific examples

deductive reasoning

process of making a conclusion by fitting a specific example into a general statement

You (can,cannot) _______ always prove a conclusion by inductive reasoning

cannot

Where P and Q are statements, P AND Q is called the __________ of P and Q

conjunction

Where R and S are statements, R OR S is called the __________ of R and S

disjunction

Reaching a conclusion by looking at several examples is called _________ reasoning

inductive

Reaching a conclusion by fitting a specific example into a general statement is called ________ reasoning

deductive

A 2-column proof has _____ essential parts

6

The statement part of a 2-column proof should be written in __________ form

if-then

The given part of a theorem is preceded by the word _______

if

The to prove part of a theorem is preceded by the word ___

then

A brief description telling how you are going to prove the statement is called the

plan of proof