The Math Forum

Search All of the Math Forum:

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

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: 2.43 - Cauchy sequences of rationals do not define real numbers.
Replies: 9   Last Post: Aug 3, 2014 12:19 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Andy C

Posts: 107
Registered: 12/13/04
Re: 2.43 - Cauchy sequences of rationals do not define real numbers.
Posted: Aug 1, 2014 9:15 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

>"John Gabriel" <> wrote in message
>I receive a lot of visitors from St. Andrews university. Here is one of
>their web pages:

>It states:

>"One of the problems with deciding if a sequence is convergent, is that you
>need to have a limit before you can test the definition."

>"One of the problems" ?!! That's an understatement! It is the main

>That one can determine if a sequence is Cauchy or not, does not mean it has
>a limit.

>So, anyway, they define a Cauchy sequence and then further down the page:

>"The Main Result about Cauchy sequences - A Real Cauchy sequence is

>They haven't defined "real" number yet, but now suddenly a Cauchy sequence
>is convergent in R. Obvious circularity which the morons missed. They talk
>about convergence in R, even before they have defined R as a sequence of
>rational numbers. About as close as they came, was to state that a Cauchy
>sequence is bounded. Hilarious.

>Cauchy sequences of rationals do NOT define real numbers.

>Comments are NOT welcome. This comment is produced in the interests of
>public education; and to eradicate ignorance and stupidity from mainstream

Please see a mental health professional as soon as possible. This comment is
produced in the interests of public education; and to encourage John Gabriel
to get the mental health treatment he needs.

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

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.