Saturday, March 12, 2011

Chapter 6 - Contrapositives

In Chapter 6 of Epstein, we learn about the importance and requirements of a contra-positive claim.  In order for two claims to be considered to be equivalent, they both have to be considered to be true.  From my understanding, Contra-positive statements are defined as the situation in which a claim and a contra-positive claim are related or similar. Both claims must coincide; either both true or both false. 
The following are examples of true claims; a contra-positive statement:
a. Hard working students get good grades.
b. Students that complete all their homework and classwork assignments will get good grades.

The following are examples of contra-positive statements including a sufficient condition; which the first claim is sufficient for the second claim. (There are 4 different types of conditions:
direct, indirect, affirming the consequent, and denying the antecedent)
a. Johnny always drinks milk when eating his cookies.  If Johnny is eating cookies, he is drinking milk.

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