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23 Cards in this Set
- Front
- Back
Inductive reasoning
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Is the process of proving a statement through observation. (seeing)
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Conjecture
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A statement you believe to be true based on inductive reasoning.
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Counter example
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To show that a conjecture is false.
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Conditional statement
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A statement that can be written as p -> q.
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Hypothesis
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the part (p) of a conditional statement following the word (if).
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Conclusion
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The part (q) of a conditional statement followed by the word (then).
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Truth value
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whether or not a conditional statement is true or false.
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Negation
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The statement is not, (not p),
or ~p. |
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Converse
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Original: If P then Q
changed: If Q then P |
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Inverse
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Original: If P then Q
Changed: If ~P then ~ Q |
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Countrapositive
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Original: If P then Q
Changed: If ~Q then ~P |
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Deductive reasoning
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The process of using logic to draw conclusions from given facts, definitions, and properties.
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Biconditional statement
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P if and only if Q
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Proof
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Used to prove a statement
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Addition Property of Equality
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If a=b, then a+c=b+c
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Subtraction Property of Equality
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If a=b, then a - c = b - c
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Multiplication Property of Equality
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If a=b, Then ac=bc
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Divition Property of Equality
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If a=b & c≠o, then a/c = b/c
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Reflexive Property of Equality
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a = a
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Symmetric Property of Equality
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If a = b, then b = a
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Transitive Property of Equality
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If a = b & b = c, then a = c
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Substitution Property of Equality
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If a = b, then b can be substituted by a in any expression.
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Theorem
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Any statement that you can prove.
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