Re: Relative Cardinality

In article <1121765690.642563.265470@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

> Virgil wrote:
> > In article <1121614775.415406.219930@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
> > mueckenh@xxxxxxxxxxxxxxxxx wrote:
> >
> >
> > > If it is a generator, then the number is generated or constructed, so
> > > it is not an unconstructible number. But if the number cannot be
> > > constructed other than by listing its digits, then all quanta of
> > > quantum physics will not suffer.
> >
> > There are oodles of numbers which cannot be constructed by listing all
> > their digits but can be constructed in other ways.
> >
> > Listing digits is not required by any axiom system for existence, in
> > the mathematical rather than WM's physical sense, of any number.
> >
> > The ability to determine definititely which of two numbers is larger is
> > also not necessary. Not all truths must be determinable.
>
> Hear Cantor

Cantor is dead. So is WM's thesis.
.

Relevant Pages

  • Re: Relative Cardinality
    ... > If it is a generator, then the number is generated or constructed, so ... > quantum physics will not suffer. ... There are oodles of numbers which cannot be constructed by listing all ... their digits but can be constructed in other ways. ...
    (sci.math)
  • Re: 10 Questions Concerning Numbers
    ... digits at finite positions. ... But what Cantor ... it cannot be defined by a sequence of digits. ... possible anti-diagonals is also convergent. ...
    (sci.logic)
  • Re: abundance of irrationals!)
    ... > Virgil wrote in message ... that Cantor never did a "diagonal" proof of uncountability. ... >> instead of single digits. ...
    (sci.math)
  • Re: Relative Cardinality
    ... > There are oodles of numbers which cannot be constructed by listing all ... > their digits but can be constructed in other ways. ... ich denn zum siebenten Male wiederholen, ... But in mainstream mathematics the ability to determine definitely ...
    (sci.math)
  • Re: Ultimate debunking of Cantors Theory
    ... as a result of the construction. ... the Cantor construction fails in base 2. ... if one pairs off digits starting from the binary ... 1's while every list entry is a finite sequence of 1's. ...
    (sci.math)