Fermat conjecture and Riemann hypothesis - My discovery about mathematics
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Let's write =0 and x{x}=x+1. Let X be a countable and consistent axiom system of
the mathematics by the set theory. Let N" be the individual symbol for which
(1N")x*1 X and
x*2(N"x).
Let d be a free individual symbol. X doesn't include d. Assume that X doesn't include the axiom
of regularity. Let t be the individual symbol for which x*3 X.
tt.t={t}=t+1.
Theorem 1.X has a model M for which M |= (dN")(nd) for nN.
Proof. X{dN",0d, 1d,,md} has a model Mm for which
Mm |= d=m+1 and M |= N"=N and consistent. So X"=X{dN",0d,1d,(infinitely)}
is consistent and has a model M. M is a model of X and M |= (dN")d) for nN.
Define M" and s(x) by M" |= s(x)=t when x is an infinite set for M in theorem 1 and
M" |= s(x)=the number of the elements of x when x is a finite set for M and M |= P M"|= P.
M" is a model of Y=X"{x(s({x})=1),xy*4}.
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