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17 Cards in this Set
- Front
- Back
inductive reasoning |
when drawing a conculusion from observing patterns. |
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conjecture |
a statement you believe to be true |
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counterexample |
an example that proves a conjecture false |
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conditional (P->q_ ) |
a statement that can be written i " if ,then " format |
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hypothesis ( P) |
the part that comes after "if"` |
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conclusion (q_) |
the part that comes after "then" |
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truth value |
determining if a statement is true or false |
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negation ( _ ) |
rewriting a statement adding the word "not" |
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conversion |
switch the hypothies and conclusion *converse and inverse are equal |
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inverse |
keep the same but put not |
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contrapositive |
switching and putting not *conditional and contrapoaitive are logically equivlent |
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logically equivalent statements |
statements w/ teh same truth value |
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biconditional statement |
statement using "if and only if" *formed when the conditional and converse are true |
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deductive reasoning |
process of using logic to draw conclusions from given pacts difinitions and properties |
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proof |
an argument that uses logic definitions and properties to show that a conclusion is true *2 colum *flow chart *paragraph *coordinate |
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properties of equality |
reflexive-a=a symmetric- if a=b then b=a transtive-if a=b and b=c , then a=c subsitiution-if a=b then b can be subutitued for a any expression |
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theorem |
a statement that must be proven |