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Conditional Original IF-THEN statement
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Converse When you switch both the hypothesis and conclusion
If HYPOTHESIS, then CONCLUSION If CONCLUSION, then HYPOTHESIS
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If HYPOTHESIS, then CONCLUSION
Inverse Think: INSERT When you leave the conditional the way it is & make it negative NOT NOT If HYPOTHESIS, then CONCLUSION
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Contrapositive Think: COMBINATION
When you switch both the hypothesis & conclusion, AND insert a negative BEFORE: If HYPOTHESIS, then CONCLUSION NOT NOT If CONCLUSION, then HYPOTHESIS
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Things to keep in mind If it is already Negative, and you are taking the inverse of contrapositive, then you get rid of the NOT Conditional: If you do NOT like cheese, then you do NOT like pizza INVERSE: If you like cheese, then you like pizza
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Biconditional Combines the Condition & Converse
If BOTH are true, then it is biconditional Include the words: IF AND ONLY IF Example: If a shape is round, then it is a circle. If it is a circle, then the shape is a circle. A shape is round, IF AND ONLY IF, it is a circle.
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Syllogism
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