What’s the consequences of Godel incompleteness theorem?
In: Mathematics
A perfect way to illustrate it is using an example – take, for instance, the set of natural numbers. They can trivially be divided up into two mutually exclusive subsets – the prime numbers, and the non-prime numbers. However, this can only be achieved through brute force, by analyzing every number in part whether it is prime or not. Thus far, there is no formula which we can apply to achieve the desired subdivision, and Gödels Incompleteness Theorem states that it may be impossible to ever discover a formula like that.
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