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Reasoning and Proof

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Term
Definition
Conditional Statements   If- then statements  
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Hypothesis   Follows the "if" part of a conditional statement  
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Conclusion   Follows the "then" part of the conditional statement  
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Converse   Switches the hypothesis and the conclusion  
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Biconditional   Combines the true conditional and the true converse into an "if and only if" statement  
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Truth Value   The true or false of a conditional  
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Law of Syllogism   Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement.  
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Law of Detachment   If a conditional is true and its hypothesis is true, then its conclusion is true.  
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Negation   A statement has the opposite truth value.  
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Inverse   A conditional statement that negates both the hypothesis and the conclusion  
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Contrapositive   A conditional statement that switches the hypothesis and the conclusion and negates both.  
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Indirect Reasoning   Reasoning that considers all possibilities are considered and then when one is proven false the remaining possibility must be true.  
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Reflexive Property   a=a  
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Symmetric Property   If a=b, then b=a  
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Transitive Property   If a=b and b=c, then a=c  
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Created by: Kstluka
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