Tuesday, September 18, 2007

This sentence is false

One of the supposed paradoxes of logic - if

"This sentence is false" is true - then it is false - which presents a contradiction. But if it is false, then it is true, which also presents a contradiction.
"BUT WHICH ONE IS IT?"
There are thousands of other examples of the same structure - some which involve combinations of sentences, some of which refer to others. Etc.

I have a problem with their logic...
What exactly, the fuck, does the above sentence refer to? To the SENTENCE? A sentence is a string of words, and if it doesn't make reference to something real or representative of something real - like a tree - or a concept - then it may just be a MEANINGLESS sentence. Does a meaningless sentence need to be true or false? I don't think so.
In any case, the sentence doesn't make sense, because the statement which it attempts to say is FALSE is...empty. No logical statement is by itself a contradiction - false and true simultaneously. We need to work with premises and statements of fact and then test whether other sentences are validly implied by the above, or not.