Double infinity contains single triple or double triple infinity, on and on, as a ternary representation of real numbers: 0 and 2 in a base 3 system inward bound asymptotically approaching a Cantor infinitesimal. This process is done by indefinite removal of the open middle thirds (1/3, 2/3) of the closed interval [0, 1]. Moreover, if the whole universe is the number field of whole numbers on the open interval (0, ∞) then by dividing every whole number by ∞ gives the normalized closed interval [0, 1] of absolute rational probability. This requires only the definition that ∞/∞=1. It is equivalent to finding the limit of rational polynomials where and when the degrees of the denominator is greater or equal to the degrees of the numerator.
The final destination is a logical Cantor’s paradox. This can be stated simply that there exists an infinite set A containing the largest possible number of elements. But a matching diagonal theorem of one-to-one correspondence shows that, at the very least, its double power set has more elements, thus simultaneously proving and disproving the non-existence and existence of a cardinal infinity between inner spacetime and outer spacetime of absolute reality.
These reasoning can be used to prove that if ∞ is defined as the largest whole number then it is also the largest prime. Recalling Goldbach Conjecture: any even number greater than 2 is the sum of two prime numbers: 4=2+2, 6=2+3, 8=3+5, 10=5+5, etc. since 2 is clearly the smallest even prime, 2+∞ is the largest even whole number.


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