Saturday, May 26, 2012

Logic* & Options*

Consider another example: Suppose I believe that atheists are bad people, and that all my friends are good people. But Mr. Pheeper, my long-time friend, decides that he is an atheist. I am now faced with accepting the following list of statements: (a) Mr. Pheeper is my friend (b) All my friends are good people. (c) Mr. Pheeper is an atheist. (d) All atheists are bad people. These four statements are logically contradictory, because they jointly imply that Mr. Pheeper is both a good person and a bad person. Logic requires some sort of revision to my set of beliefs, but logic does not demand one particular revision. I could (a) decide that Mr. Pheeper is no longer my friend, (b) decide that atheists aren't necessarily bad people, (c) decide that not all my friends are good people, or (d) decide Mr. Pheeper is not an atheist even though he say that he is. The point is that these are all possible solutions, each of which must be examined on their own merits.