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LudovicoVan
Posts:
3,379
From:
London
Registered:
2/8/08


Re: (infinity) A real story
Posted:
Oct 12, 2013 10:07 AM


<mueckenh@rz.fhaugsburg.de> wrote in message news:9e886147f8624ce1a7a10356919d5784@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



