Re: Cantor Confusion

In article <1163252852.669083.310910@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

Franziska Neugebauer schrieb:

David Marcus wrote:

[...] you are working with an infinite triangle [...]

,----[ http://en.wikipedia.org/wiki/Triangle ]
| A triangle is one of the basic shapes of geometry: a polygon with
| three vertices [...]
`----

Are there really three vertices in WM's "triangle"?

If finished infinities like omega do exist, yes. Then you can add 1
term to the first (and any other) column and one term to the diagonal
obtaining tree vertices:

1
22
333
...
omega...omega

Addition of one term to every line, however, will not yield anything.

Since when do sets have a length?

It can be defined: length of a set of natural numbers = cardinal number
of that set.

Regards, WM

Why is it not the height (or width, or area or volumn, or any other word
indicating quantity) of the set rather than its "length"
.

Relevant Pages