Reasoning and Proofs
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| inductive reasoning | the process of reasoning that a rule or statement is true b/c specific cases are true
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| conjecture | a statement believed to be true based on inductive reasoning
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| counterexample | use to prove a statement is false
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| conditional statement | a statement that can be written in if then form
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| hypothesis | the "if" part of a conditional statement
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| conclusion | the "then" part of a conditional statement
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| truth value | deciding whether a statement is true or false
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| negation | the opposite of a statement (not)
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| converse | a statement formed by reversing the hypothesis and conclusion of an if then statement
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| inverse | a statement formed by negating the hypothesis and conclusion of an if then statement
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| contrapositive | a statement formed by both negating and switching the hypothesis and conclusion of an if then statement
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| logically equivalent statements | 2 similar conditional statements that have the same truth value
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| deductive reasoning | the process of using logic to draw conclusions from given facts, definitions, and properties
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| biconditional statement | a conditional statement that can be written in if and only if form
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| definition | a statement that describes a math object that can be written as a true biconditional statement
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| proof | an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true
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| theorem | any statement that you can prove
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Created by:
stacykeener
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