Re: Does a potential infinity actually exist?



On Aug 23, 4:04 pm, david petry <david_lawrence_pe...@xxxxxxxxx>
wrote:
On Aug 23, 9:39 am, aatu.koskensi...@xxxxxxxxx wrote:

MoeBlee wrote:
If you would either give 'potential infinity' as a primitive and
axioms with it or 'potential infinity' defined from primitives, then
there might be something of specific mathematical interest there.

It would appear that Moeblee didn't understand anything I wrote. I'm
arguing that when we acknowledge that infinity only has a potential
existence, then we see that infinity is merely a figure of speech, and
anything that can be said using the word "infinity" could also be said
without it. The best I could do is present rules for transforming
sentences using "infinity" into sentences not using it, but the
example I gave in the article gives the main idea.

I addressed what you said specifically and in fair detail. Your not
responding to what I said but instead just saying that I don't
understand what you said is purely a rhetorical ploy by you.

MoeBlee

.



Relevant Pages

  • Re: "Set Theory: Constructive and Intuitionistic ZF" on SEP
    ... HERE of people who presume to defend "potential infinity"! ... He has not said anything about "potential infinity" - or rather ... logic had wrongly been extrapolated from the mathematics of finite ... "Understanding Godel isn't about following his formal proof. ...
    (sci.logic)
  • Re: "Set Theory: Constructive and Intuitionistic ZF" on SEP
    ... HERE of people who presume to defend "potential infinity"! ... For the sake of consistency I should really call you a LIAR here. ... He has not said anything about "potential infinity" - or rather ... logic had wrongly been extrapolated from the mathematics of finite ...
    (sci.logic)
  • Re: infinitely many nns = infinite nns?
    ... These are axioms and assumed correct. ... state whether they should be used with potential, or actual, infinity. ... cannot use potential infinity for some conclusions, ... through Axiom, mathematical induction, or as it is sometimes called, ...
    (sci.logic)
  • Re: Metaphysics of Potential Infinity
    ... that potential infinity is all that mathematicians will ever need. ... There we see the birth of physicalism ... a mathematician who rejects the use of actual infinity is ... >> Physicalist philosophy maintains that there are no things that do ...
    (sci.logic)
  • Re: Metaphysics of Potential Infinity
    ... that potential infinity is all that mathematicians will ever need. ... There we see the birth of physicalism ... a mathematician who rejects the use of actual infinity is ... >> Physicalist philosophy maintains that there are no things that do ...
    (comp.theory)

Quantcast