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Topic: (infinity) A real story
Replies: 4   Last Post: Oct 12, 2013 6:08 PM

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 LudovicoVan Posts: 4,165 From: London Registered: 2/8/08
Re: (infinity) A real story
Posted: Oct 12, 2013 10:07 AM

<mueckenh@rz.fh-augsburg.de> wrote in message
> On Saturday, 12 October 2013 04:11:42 UTC+2, Ben Bacarisse wrote:
>

>>>> Yes, there are monotone sequences of set. Yes, what you say about them
>>>> is rubbish.

>>
>>> I only say about them that they are monotone sequences.
>
>> No, you said this of them as well:
>
> | The principle says that in a set of finite lines, there is always one
> | line containing all elements of the set. Simple as that.
> | And that priciple does not fail for infinite numbers of lines, because
> | every line has a finite number of elements.

>> You snipped it again, presumably
>
> because it is so obvious.

Yet it is wrong: that principle does not fail for a potentially infinite set
of finite lines because the set in question is (already) the limit of a
sequence, and the limit entry is the line that contains all lines. The same
by extension to the actually infinite, i.e. still with appeal to basic
notions.

Julio

Date Subject Author
10/12/13 LudovicoVan
10/12/13 Virgil
10/12/13 Virgil