```Date: Mar 24, 2013 11:28 PM
Author: ross.finlayson@gmail.com
Subject: Re: Matheology § 224

On Mar 24, 7:37 pm, Virgil <vir...@ligriv.com> wrote:> In article> <a2ef4e0f-a37a-4795-886f-7fb3786cc...@vh9g2000pbb.googlegroups.com>,>  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:>> > Are you saying that lim_n->oo Sum_i=1^n 1/2^i =/= 1, or, that> > Sum_i=1^oo 1/2^i = 1?>> I was not saying either.>>>> > Then, where the lines are n-sets:  what is the union of the lines?>> What do you mean by "n-sets"? Do you mean  what WM calls FISONs.>>>> > The sum of all the finite numbers (natural integers): isn't a finite> > number, and for no finite number is it their sum.  Yet, addition is a> > closed operation in the integers.  That gets into the difference> > between operations that are closed for finitely many, and unboundedly> > many, and infinitely many applications of the operation, here> > addition.  The transfer principle>> Which does not exist, so let us ignore it, and all following garbage..> --No, if you'll excuse it, an n-set is any set with n-many elements(natural integers).  Used in combinatorics, various results of n-setsare simply coded {1, 2, ..., n} in combinatorial enumeration, so,initial n-sets, say.The transfer principle most certainly does exist, for example a set(operation of union) of sets is a set, a sum of integer sums is a sum,and etcetera.No, there's general interest in the features of mathematical objects,moreso in the less obvious, less overstated, and less obnoxious.Regards,Ross Finlayson
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