Re: Cantorian pseudomathematics
Jesse F. Hughes wrote:
Han.deBruijn@xxxxxxxxxxxxxx writes:
Jesse F. Hughes wrote:
But in any case, I haven't seen the code that you use to teach your
keen artificially intelligent computer what N is.
program Infinity;
{
Potential Infinity
}
[ ... snip ... ]
That's a joke, right?
Not really. It defines exactly what (you & ) I mean by a finite interval
of naturals (mysteriously) growing to infinity.
No, but I'm sure that code you just gave me allows your computer to
"understand" your version of the naturals.
Up to a certain limit where it breaks down. Then order a larger computer
or invoke a P2T (Pascal to Turing) compiler and run the code on a Turing
machine with an infinite tape, where it will never break down, and never
end ...
Han de Bruijn
.
Relevant Pages
- Re: Zero, Infinity
... since the empty set is a set. ... of dual representation of zero and infinity, ... I'm talking about the empty set being a proper class. ... "Ubiquitous Naturals, Infinity." ... (sci.math) - Re: Zero, Infinity
... since the empty set is a set. ... of dual representation of zero and infinity, ... I'm talking about the empty set being a proper class. ... "Ubiquitous Naturals, Infinity." ... (sci.math) - Re: A puzzle for Cantorists
... Axiom of Infinity is essentially a statement that the set of Natural ... ordinal and cardinal exponentiation and what the value of G is. ... bijects R only when G = Aleph_0. ... as the naturals cannot biject to the unit ... (sci.math) - Re: infinitely many nns = infinite nns?
... infinite number of naturals, we must first work out what this idea actually ... However, this "therefore" does not necessarily follow, because of something Aristotle noticed, namely the alternative of "potential infinity," in which actual infinity is approached, but never reached. ... mathematics, for the rather uninteresting reason that those with experience ... (sci.logic) - Re: You Dont Have to Be Nuts to Be a Mathematician ...
... unjustified arbitrariness somewhere in between mathematics and physics. ... plus infinity, this implied the lack of a reference point to lean on. ... symmetry between positive and negative numbers. ... I imagine instructions leading from naturals to reals pointing to spots ... (sci.math) |
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