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Topic: Matheology § 300
Replies: 27   Last Post: Jul 12, 2013 6:58 PM

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Tanu R.

Posts: 386
Registered: 12/13/04
Re: Matheology § 300
Posted: Jul 11, 2013 3:17 PM
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Julio Di Egidio:

> he is quite correct here: he is saying "to have *all*"
> we need an "end-signal"


Not with infinitely sized sets - the limit just does not have a predecessor,
http://en.wikipedia.org/wiki/Ordinal_number#Successor_and_limit_ordinals
"Thus, every ordinal is either zero, or a successor (of a well-defined
predecessor), or a limit."
"A nonzero ordinal that is not a successor is called a limit ordinal."

This is true as it is defined this way, omega has not a single predecessor,
read http://en.wikipedia.org/wiki/Limit_ordinal



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