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Topic: A possible role for geometry in foundtions
Replies: 26   Last Post: Aug 26, 2013 7:32 PM

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Shmuel (Seymour J.) Metz

Posts: 3,343
Registered: 12/4/04
Re: A possible role for geometry in foundtions
Posted: Aug 15, 2013 5:26 PM
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In <3sudnUJ-JbL7kpHPnZ2dnUVZ_o-dnZ2d@giganews.com>, on 08/14/2013
at 06:14 PM, fom <fomJUNK@nyms.net> said:

>In principle, one wants to avoid that kind of triviality. As I
>had understood matters, one would wish to find principles which
>would seem mathematically natural from which the continuum
>hypothesis follows.


Well, wish. People have been looking for a long time, although that's
no guaranty that you won't find anything.

>Then one would, of course, argue for those principles.

Indeed, but the CH is so simple that I don't see much hope for finding
a simpler and more natural equivalent. Even for the AOC, where there
are many known equivalents, none is clearly superior.

>It would also be correct to say that I wanted to understand my
>belief that the continuum hypothesis is true.


What do you mean by "true" in this context?

>This is more of what I had in mind. Someone explained a group to
>you somewhere, did they not?


As I recall, they provided motivation by giving examples, then gave
the definition. That's certainly a common means of exposition in
Mathematics.

--
Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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Date Subject Author
8/1/13
Read A possible role for geometry in foundtions
fom
8/1/13
Read Re: (geometric role) Paper and pencil symbols
fom
8/3/13
Read Re: A possible role for geometry in foundtions
fom
8/4/13
Read Re: A possible role for geometry in foundtions
fom
8/4/13
Read Re: A possible role for geometry in foundtions
fom
8/4/13
Read Re: A possible role for geometry in foundtions
fom
8/4/13
Read Re: A possible role for geometry in foundtions
fom
8/6/13
Read Re: A possible role for geometry in foundtions
fom
8/10/13
Read Re: A possible role for geometry in foundations
fom
8/10/13
Read Re: A possible role for geometry in foundations
fom
8/11/13
Read Re: A possible role for geometry in foundations
fom
8/10/13
Read Re: (geometric role) An analogy with Euclidean 3-space
fom
8/11/13
Read Re: A possible role for geometry in foundtions
Sandy
8/11/13
Read Re: A possible role for geometry in foundtions
fom
8/13/13
Read Re: A possible role for geometry in foundtions
Shmuel (Seymour J.) Metz
8/13/13
Read Re: A possible role for geometry in foundtions
fom
8/14/13
Read Re: A possible role for geometry in foundtions
Shmuel (Seymour J.) Metz
8/14/13
Read Re: A possible role for geometry in foundtions
fom
8/15/13
Read Re: A possible role for geometry in foundtions
Shmuel (Seymour J.) Metz
8/23/13
Read Re: A possible role for geometry in foundtions
fom
8/24/13
Read Re: A possible role for geometry in foundtions
Shmuel (Seymour J.) Metz
8/25/13
Read Re: A possible role for geometry in foundtions
fom
8/25/13
Read Re: A possible role for geometry in foundtions
fom
8/26/13
Read Re: A possible role for geometry in foundtions
Shmuel (Seymour J.) Metz
8/26/13
Read Re: A possible role for geometry in foundtions
fom
8/13/13
Read Re: A possible role for geometry in foundtions
Tucsondrew@me.com
8/13/13
Read Re: A possible role for geometry in foundtions
fom

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