Friday, July 08, 2005

Can all thoughts be 'reasoned' out ?

I could draw another interesting parallel between Godel's theorem and the world of thoughts. Assuming there is a world of thoughts and a world of reasons, we can ask the question whether are they the same. In other words, can all thoughts be 'reasoned' out. Godel's theorem says no ! Not all thoughts can be reasons. And again if we think of some thoughts having reasons, we'll have inconsistency. So, it is better to leave the world of reason as incomplete than being inconsistent. We can then define those thoughts which doesn't have any reason as 'feelings'. One can also think of the world of thoughts as the real number system and the world of reasons as the set of rationals (which is incomplete). So, thoughts are allowed be irrational as well !

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