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World is full of contradiction. You are taking into consideration that the existence of contradiction implies that something cant be useful.
Lets take for example that philosophically 0,9999... is something differently from 1.
However, mathematically, 0,999999..... = 1.
x=0,9‾...
10x=9,9...
10x−x=9,9...−0,9....
9x=9
x=9/9=1
x=1 & x= 0,999....
@GeneticsApart from that mathematical case, i would also like to remind you of the classical problem of the first cause behind the existence of the universe, which is also a contradiction of reality.
Reality is not obliged to be logical or rational.