Tuesday, July 13, 2010

Conjunctions and Disjunctions

Being knowledgeable about the different forms of compound claims, and how to analyze it's truth-value, is one of the most useful techniques in arguing and analyzing. And what was most interesting was looking at all of the different truth-tables for each compound word/phrase and noticing how CAREFUL you have to be in analysis. Just one false versus one truth can be the entire difference.

For example:
There are three points on a triangle and there are three points on a square.

For this Conjunction (and-claim), it is false. In order for a conjunction to be true, both parts must be true, or it is otherwise false. Although it is true that there are three points on a triangle, the second part of this claim is false.

On the other hand:
There are three points on a triangle or there are three points on a square.

For this Disjunction (or-claim), it is true. Both alternatives for this claim is true, therefore the whole thing is true. In order for this one to be false, both parts must be false.

1 comment:

  1. This is so true. Many people say one thing but then say another claim that does not make sense. For the whole claim to make sense, both sides or every aspect of the claim must be true. I also liked your example with the triangle and square. This example helped me realize your point and what you were trying to tell us. It was straight to the point and nothing was hard for me to understand. Also, by describing and using the "or" claim, it helped me learn how to use it in my daily life when stating claims.

    Great job on the blog! and Keep it up!

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