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Now conmathematically Russell's paradox is quite easy to resolve. The conmathematical resolution could be stated in just one sentence : As there is no barber who shaves every man who doesn't shave himself, and no one else, likewise there is no set of all sets that aren't members of themselves.
This sentence is justified or explained below.
Suppose there is a barber who shaves every man who doesn't shave himself, and no one else. Now
barber himself is a man and
supposition requires that
barber shave himself if and only if he does not ! This contradiction straightaway implies that
supposition is false. That is, there is no barber who shaves every man who doesn't shave himself, and no one else.
The justification of
sentence 'there is no set of all sets that aren't members of themselves' goes on similar lines. Conmathematial foundations of mathematics, being very profound and deep, easily absorb shocks of such fuzzy paradoxes, where
set theoretical foundations need to be reformulated.

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