Uirgil
Posts:
181
Registered:
4/18/12
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Re: Matheology � 152
Posted:
Nov 17, 2012 10:27 PM
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In article <k88p6q$sd$1@dont-email.me>, "LudovicoVan" <julio@diegidio.name> wrote:
> "Uirgil" <uirgil@uirgil.ur> wrote in message > news:uirgil-B4A0C7.11095217112012@BIGNEWS.USENETMONSTER.COM... > > In article <k88h5n$eeo$1@dont-email.me>, > > "LudovicoVan" <julio@diegidio.name> wrote: > >> "William Hughes" <wpihughes@gmail.com> wrote in message > >> news:1ec0c2cc-f926-4fd4-a413-37ba8809ea80@y8g2000yqy.googlegroups.com... > >> > On Nov 17, 9:59 am, "LudovicoVan" <ju...@diegidio.name> wrote: > >> >> "William Hughes" <wpihug...@gmail.com> wrote in message > >> >> news:28bff553-f679-4e23-8932-a1fb42f1b364@c17g2000yqe.googlegroups.com.. > >> >> . > >> >> > >> >> > Note that *set* limits have some important properties. > >> >> > >> >> > Given a sequence of sets {B_1,B_2,B_3,...} > >> >> > then the set limit always exists (it > >> >> > may be the empty set). > >> >> > >> >> > If we have > >> >> > >> >> > A = set limit {B_1,B_2,B_3....} > >> >> > >> >> > Then > >> >> > >> >> > A is a set > >> >> > A cannot contain an element that is not contained > >> >> > in any of the B's > >> >> > >> >> Williams going around, in circles: > >> >> > >> >> It was already mentioned that it is wrong to use that specific > >> >> definition > >> >> to > >> >> solve the balls and vase problem. > >> >> > >> >> <http://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior#Special_ > >> >> cas > >> >> e:_discrete_metric> > >> > > >> > The problem is the above applies to *any* definition of a *set* limit. > >> > >> But those definitions are a *specific* case of these: > >> > >> <http://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior#Sequences_o > >> f_s > >> ets> > >> > >> I sometimes wonder which planet you come from. > > > > Irrelevant Ad Hom noted! > > > > Actually, William HUghes' "definition" is quite carefully non-specific, > > and while it certainly includes both a lim_sups and a lim_infs, is in no > > way limited to only those. > > > > So that, as usual, LV has things inverted. > > The one who has got something inverted here is you.
Another in the long line of LV's irrelevant ad homs noted! > > You are again invited to stop the spam and disturbance > > -LV > I would, but I have no power to shut off either WM or LV.
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