Re: Another Inconvenient Truth

On Aug 17, 4:43 pm, Han.deBru...@xxxxxxxxxxxxxx wrote:

Heh, heh. I didn't define my set theory to be about finite sets
per se. But, quite fortunately, it just turns out that infinite
sets are impossible with it.


So what? It is no great achievement to come up with a set
theory that does not contain infinite sets.

Your claim is that standard set theory gets the
wrong answers for "what is the probablity
that a number chosen at random from the set of all
numbers is even?" and "how many balls are in the vase
at noon?".

However, your set theory does not give different answers
to these questions, it just declares the questions
meaningless.

You are confident that you know what the correct
answers are, but you have no theory that leads
to these answers.

- William Hughes



.

Relevant Pages

  • Re: Infinity
    ... > and axioms, ... > about 'Dedekind infinite' we're talking about set theory, ... since you don't know what set theory IS. ... While you're right that I misstated the Dedekind definition of an infinite set, ...
    (sci.math)
  • Re: Infinity
    ... >> system and axioms, ... >> making your proofs in set theory. ... > infinite set, and I apologize, the original question had nothing to ... >> equivalent with that of the definition of 'Dedekind infinite'. ...
    (sci.math)
  • Re: Set Theory: Should You Believe
    ... Why, in your opinion, is the orthodoxy in set theory ... mathematics, ignoring the misgivings of geniuses like Poincare, Weyl, ... When NW said that "You don't need axioms", ... NAFL theories (but infinite proper classes, ...
    (sci.logic)
  • Re: infinitely many nns = infinite nns?
    ... You have no IDEA as to basic logic for mathematics. ... of set theory, and it IS shown to contradict the axioms of set theory, ... nonstandard infinite positive integer) ... that the contradictions just listed really ...
    (sci.logic)
  • Re: Cantorian pseudomathematics
    ... The property that I defined as "random" is a property of some infinite ... While we can't say for sure that "obeys a probability distribution" is ... > set theory to think about all that; and mathematicians didn't wait for ... > Hence it seems reasonnable to wonder whether set theory his intuitive ...
    (sci.math)