Tanu R.
Posts:
546
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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