Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Matheology § 430
Replies: 28   Last Post: Feb 12, 2014 4:06 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
wolfgang.mueckenheim@hs-augsburg.de

Posts: 588
Registered: 10/18/08
Re: Matheology § 430
Posted: Feb 10, 2014 3:59 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Am Montag, 10. Februar 2014 09:38:24 UTC+1 schrieb thenewc...@gmail.com:
> On Monday, February 10, 2014 10:08:58 AM UTC+2, Virgil wrote:


>
> The real numbers are not countable because they don't exist.



That depends on the definition. I accept pi or sqrt(17) as real numbers although I know that these numbers cannot be represented but only approximated by strings of digits.



> Here is a proof that D.Cuts do not define irrational numbers:

In my opinion the expression LIM(1 + 1/n)^n defines e. I accept that (although it is impossible to find all digits) because we can calculate the string of digits up to every desired precision eps > 0.
>

>
> Now, if you assume that all "real" numbers can be represented as decimals, then I have proved (irrefutably), that the real numbers are indeed countable,


That is certainly correct because the premise is false.

Regards, WM



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.