Anti-Cantorians and the Applicability of Logic

anti-Cantorian David Petry writes:

>Certainly infinite sets and power sets exist as absractions.
>But, abstractions don't necessarily obey exactly that same
>laws of logic as directly observable objects.

So, the "Cantorians" mistakenly insist that
the usual rules of logic apply to infinite sets.

anti-Cantorian WM (mueckenh@xxxxxxxxxxxxxxxxx) writes:

>The Cantorians close their eyes in order to avoid obvious
>contradictions and to maintain their useless pet, simply
>insisting that logic is not valid in the "infinite".

So, the "Cantorians" mistakenly insist that
the usual rules of logic do not apply to infinite sets.

Thanks, guys. I think that clarifies what's wrong with
"Cantorian" mathematics.

--
Daryl McCullough
Ithaca, NY

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Relevant Pages

  • Re: Anti-Cantorians and the Applicability of Logic
    ... >>Certainly infinite sets and power sets exist as absractions. ... abstractions don't necessarily obey exactly that same ... >>The Cantorians close their eyes in order to avoid obvious ... If you agree that abstractions are useful fictions, ...
    (sci.logic)
  • Re: the irrational number system
    ... and not about whether infinite sets exist or not.) ... Though this is only a mental exercize, ... system seems to obey the usual rules for number systems, ...
    (sci.math)
  • Re: the irrational number system
    ... and not about whether infinite sets exist or not.) ... Though this is only a mental exercize, ... system seems to obey the usual rules for number systems, ...
    (sci.math)