Monday, May 01, 2006

Hey guys - its me again - sry for flooding the bolg, but i have a quick question - im trying to provide an example of the difference between something that is "false" and something that is "not true". I have a good idea, but i dont feel like i grasp the concept good enough to go into depth in my paper. Any help would be appreciated.



Blogger linford86 said...

Don't worry about flooding the blog! I pretty much do it daily....

When I initially read your post, I thought the two words are identical. And, in fact, I think that in the common usage of the two terms they are actually identical in what they refer to - that is, the logical state of the negation of a true statement (i.e. something can be false if and only if it it's not true.)

However, with some additional thought, I came to the conclusion that it may be the case that there are statements which are logically undecidable - that is, they are neither true nor false. Gibberish may have this characteristic - if a statement has no semantic content, can it truly be true or false? Also, some might say that self referential statements have this property as well - for instance, the statement "this statement is false" cannot be either true or false.

As such, it is then possible for such a statement to be "not true" while at the same time also not being false. However, most statements that one will usually encounter have the property that they have a decideable truth value - that is, it is not the case that such a statement can be something other than true or false.

Basically, a given statement is "false" if it has a logical value other than "true". A statement is "not true" if it does not have the logical value of "true". Statements which do not have a logical value will be neither "true" or "false"; as such, they will be "not true". In this way, you can think of "not true" as being a broad term, and "false" as being a special case of it.

5:21 PM  

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