If 1+x
6=65, then the value of x is
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For any natural number {1,2,3,…}, X+1 is greater than and cannot be equal to X. The assertion “X=X+1” is also false if X is an integer {…,-2,-1,0,1,2,3,4,5,…} or a rational number {1/1, 1/2, 2/1, 1/3, 2/3, 3/2, 1/4, …} or even if X is a complex number (such as 3+2i).
Of course it is possible to interpret the symbols differently, e.g.
defining the “+“ to be some operation other than addition,
or by having either “X“ or “1” represent an element of some other set,
or even by defining an algebra in which X=X+1 is true for some cases
(Think of an algebra with only one possible element {X}
or an algebra in which “1” serves as the additive identity.)
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