Tanu R.
Posts:
640
Registered:
12/13/04
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Re: Matheology � 288
Posted:
Jun 17, 2013 5:45 PM
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Virgil schrieb:
> In article > <dad33b4c-97f0-4c55-bff2-a0619983afb6@ks18g2000pbb.googlegroups.com>, > apoorv <skjshr@gmail.com> wrote: > >> On Jun 17, 9:47 am, Virgil <vir...@ligriv.com> wrote: >>> In article >>> <cbbb7de6-59bd-4351-80c4-a55fba815...@qn4g2000pbc.googlegroups.com>, >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> apoorv <skj...@gmail.com> wrote: >>> > On Jun 17, 3:48 am, Virgil <vir...@ligriv.com> wrote: >>> > > In article >>> > > <cab6cf9b-f991-4f77-88ce-c3af4e353...@y3g2000pbl.googlegroups.com>, >>> >>> > > apoorv <skj...@gmail.com> wrote: >>> > > > On Jun 17, 1:28 am, Virgil <vir...@ligriv.com> wrote: >>> > > > > In article >>> > > > > <eae2095c-abd4-4cd9-8935-d345a2769...@qn4g2000pbc.googlegroups.com>, >>> >>> > > > > apoorv <skj...@gmail.com> wrote: >>> > > > > > On Jun 16, 1:44 am, Virgil <vir...@ligriv.com> wrote: >>> > > > > > > In article >>> > > > > > > <f6349720-6c66-4047-9557-05fabfc326a6@googlegroups.com>, >>> >>> > > > > > > mueck...@rz.fh-augsburg.de wrote: >>> > > > > > > > On Friday, 14 June 2013 21:11:16 UTC+2, Zeit Geist wrote: >>> > > > > > > > > The symmetry does prevIail. The three Unions in the >>> > > > > > > > > "completed" >>> > > > > > > > > list all >>> > > > > > > > > have same number of elements. >>> >>> > > > > > > > 1 >>> > > > > > > > 11 >>> > > > > > > > 111 >>> > > > > > > > ... >>> >>> > > > > > > > The hight and diagonal have aleph_0 elements. Is there a line >>> > > > > > > > with >>> > > > > > > > aleph_0 >>> > > > > > > > elements? >>> >>> > > > > > > If there isn't then WM's claimed "triangle" does not have three >>> > > > > > > sides. >>> > > > > > > -- >>> >>> > > > > > This is an interesting thought. >>> > > > > > Suppose we draw up triangles >>> > > > > > ...............................l.. >>> > > > > > ...........................1....1 >>> > > > > > ........................1....1....1 >>> > > > > > .....................1....1....1....1 >>> > > > > > .................................................... >>> > > > > > ........................................................... >>> > > > > > 1....1....1....1....1....1....1....1....1....1....1....1 >>> > > > > > Each of the diagonal is of the order type {1,2,3....w} >>> > > > > > The question is what is the order type of the bottom horizontal >>> > > > > > line? >>> > > > > > -apoorv >>> >>> > > > > If your triangle has diagonal edges of a given finite order type, >>> > > > > it >>> > > > > has >>> > > > > a base edge of the same type. >>> > > > > A problem arises only when the edges are allowed to have the order >>> > > > > type >>> > > > > of |N. >>> > > > > -- >>> > > > Do you mean such a triangle does not exist? >>> >>> > > When two sides having a common vertex no longer have two endpoints >>> > > each, >>> > > but only one common endpoint at that vertex, the resulting diagram is >>> > > called simply an angle, not a triangle, at least everywhere outside the >>> > > wild weird world of WMytheology. >>> > The two sides are of the order type {1,2,3...w} I.e like >>> > xxxxx.....x. >>> >>> In my world, the limit of the increasing sequence of elements of order >>> type {1,2,3,...,n} is of order type {1 2 3,...}, with no last member. >>> -- >> The sequence 1,1/2,1/4,1/8.....0 is of the order type {1,2,3...w}. >> Apoorv > > How about of order type {1,2,3,...,w} ? > > The difference being that your "sequence" is not a sequence in the usual > sense of being indexed by a subset of the naturals.
...which does ("is") like even a proper subset.
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