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Re: Re: Re: Re: algebraic numbers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg106284] Re: [mg106238] Re: [mg106220] Re: [mg106192] Re: algebraic numbers
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Thu, 7 Jan 2010 02:31:16 -0500 (EST)
  • References: <200912290620.BAA02732@smc.vnet.net> <hhpl0g$9l1$1@smc.vnet.net> <201001050647.BAA24123@smc.vnet.net> <E44EA2F2-1274-43E8-93DE-DC5BD31884A5@mimuw.edu.pl> <op.u52ai6jwtgfoz2@bobbys-imac.local> <504E0A05-61DB-4A43-9637-68216076623C@mimuw.edu.pl> <op.u529salwtgfoz2@bobbys-imac.local> <771DE886-36BB-4108-A83C-808109BAA8C3@mimuw.edu.pl> <op.u53a91u1tgfoz2@bobbys-imac.local> <201001061057.FAA14928@smc.vnet.net> <op.u54k94ojtgfoz2@bobbys-imac.local> <86095ED9-9201-4CCE-B9F8-2091CB57BD33@mimuw.edu.pl> <op.u54x9awhtgfoz2@bobbys-imac.local> <5A8611E1-4E37-444E-9E26-87D7FFD50F94@mimuw.edu.pl> <op.u542d8vjtgfoz2@bobbys-imac.local>

On 7 Jan 2010, at 10:28, DrMajorBob wrote:

> Yes, this discussion is far too philosophical... but it HAS 
illuminated a few real-world Mathematica behaviors.
>
>> are you only claiming that "all computer reals are rationals" or are 
you also claiming that "all reals are rationals"?
>
> The former.
>
>

I am curious about still one thing. Roger Penrose has written two large 
books, essentially all about this issue. Other people have written 
hundreds of pages countering his arguments. Just type in "Penrose, 
computable, real" into a google search and you will find over 52,000 
results. I assume based on your posts you have not read much of that 
sort of stuff.
Still, I find a little strange is that you seem to consider this matter 
so obvious that it can be just dealt with in a few lines while all these 
people have felt it necessary to devote so much time and space to this 
very issue.

Andrzej



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