Re: Cantor Confusion



mueckenh@xxxxxxxxxxxxxxxxx wrote:

I have understood the concept and its failure. (That is the parallel
between those who have not yet arrived and those who have already left:
Both are not there.)

What failure? THe concept of infinite sets has lead to the theory of real and complex numbers, of integration and ultimately to theoretical physics which as made possible the computer on which you spew your nonsense internationally.

By their fruits ye shall know them. Mathematics based on infinite sets has produced useful and even indispensible results. Try getting modern physics without it.

Bob Kolker
.



Relevant Pages

  • Re: Earth 8??
    ... numbers cannot be put into a 1:1 correspondence with the integers. ... positive integers divisible by 100 are all of the same cardinality, ... That CAN be done with any two infinite sets. ... And mathematics definitions are non-standard in other scientific fields, ...
    (rec.arts.comics.dc.universe)
  • Re: Attempts to Refute Cantors Uncountability Proof?
    ... produce an explicit bijection. ... there is a bijective mapping between the set of rational ... onto infinite sets. ... However, in a field like mathematics, ...
    (sci.math)
  • Re: WM has a reservation at Hotel Infinity
    ... mathematics. ... and infinite sets simply don't exist (or if they do, ... In particular no other set theory is required to do classical ... DAMN, you're stupid. ...
    (sci.logic)
  • Re: The complete infinite binary tree has only countably many infinite paths.
    ... We also understand their faults, but then WM ignores those faults when ... abstracted from the mathematics of finite sets and their subsets .... ... it, without justification, to the mathematics of infinite sets. ... Sin alone, other than the sin of introducing self-contradictory ...
    (sci.logic)
  • Re: Cardinality question
    ... but the same difference exists wrt human ... computers can "do" infinite sets as well as people can. ... >The OPs argument is that infinite set theory is useless. ... >theory was regarded as the "Queen of Mathematics" because it did not have ...
    (sci.math)