Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: Matheology § 265
Posted:
May 14, 2013 8:10 PM


On May 12, 7:48 pm, WM <mueck...@rz.fhaugsburg.de> wrote: > Matheology § 265 > > Abstract. This paper examines the possibilities of extending Cantor?s > two arguments on the uncountable nature of the set of real numbers to > one of its proper denumerable subsets: the set of rational numbers.
There is Real Mathematical Calculus
f(r):R>R
and there is LOGIC.
A:[01 > B:[01]

Cantor's muffles the 2 arrows together into an infinite sum of logical conditionals and pulls out hypercontradictions from his bellybutton.
Any REAL MATHEMATICS is based on equivalent FUNCTIONS defined over N!
f(n):N > R
In CALCULUS you are allowed to use f(r):R > R but underneath you must have some definable domain
f( g(n):N ) > R
where g(n) COMPUTES the real domain of the function via integer arithmetic.
LOGIC and f(r):R DO NOT MIX!
f(r):R is just a CALCULUS SHORTHAND!
NEWTON would hit CANTOR with a STICK if he saw the mess that CANTOR made of his CALCULUS!
Herc  ALL NEW www.BLOCKPROLOG.com



