Tuesday, October 5, 2010

2 Topics from Ch 6

1) Compound Claims and "or" claims
There are some words that can link two or more claims together to make a compound claim whose truth-value depends on the truth-values of the claims that are part of it.  An example of this is I'll keep your stereo from not being broken or I'll buy you a new one if it does get broken. 
A compound claim is a claim composed of other claims, but which has to be viewed as just one claim. 
Alternatives are the claims that are the parts of an or claim.  Even though there are many compounds, not every sentence with two or more claims is an compound like sentences with because in it.

2)The contradictory of a claim
It's easy to get confused about how to say a claim is false because they are made up of other claims.
The contradictory of a claim is one that has the opposite truth value in almost all possible circumstances.  Sometimes a contradictory is called the negation of a claim. 
Claim                                                                                    Contradictory
Jeff is writing.                                                                          Jeff isn't writing.
Cliff isn't a teacher.                                                                  Cliff is a teacher.
Max will go to the gym or he will go to sleep.                           Max won't go to the gym or to sleep.