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15 Cards in this Set

  • Front
  • Back

theorem

a statement that has been proven

proof

an argument that uses logic to show that a conclusion is true

inductive reasoning

the process of reasoning that a rule or statement is true because specific cases are true

counterexample

the example that proves that a conjecture or statement is false

conjecture

a statement that is believed to be true

conditional statements

a statement that can be written in the form "if p then q," where p is the hypothesis and q is the conclusion

hypothesis

the part of a conditional statement following the word if

conclusion

the part of a conditional statement following the word then

negation

the negation of statement p is "not p," written as ~p

converse

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

inverse

the statement formed by negating the hypothesis and conclusion of a conditional statement

contrapositive

the statement formed by both exhanging and negating the hypothesis and conclusion of a conditional statement

compound statement

two statements that are connected by the word and or or

disjunction

a compound statement that used the word or

conjunction

a compound statement that uses the word and