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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: 3,206
From: London
Registered: 2/8/08
Re: (infinity) A real story
Posted: Oct 12, 2013 10:07 AM
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<mueckenh@rz.fh-augsburg.de> wrote in message
news:9e886147-f862-4ce1-a7a1-0356919d5784@googlegroups.com...
> 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





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