Defenition of point?

[jp-zeal]

The defenition of point is very abstract, it is defined as an entity with a position in space but has no length, height or width.

So please explain to me how can you diferrentiate the no. of points in a line segment of two different lengths, which are of course infinite but they are visibly different.
Can I find a more plausible defenition. HELP!:-(

[fafalone]

There are always an infinite number of points along a line.

[JaKiri]

Infinity can have different sizes

[fafalone]

Infinity cannot be quantitized.

[JaKiri]

infinity is available in black (http://www.googlism.com/index.htm?ism=infinity&type=2)

[lqg]

Originally posted by fafalone
There are always an infinite number of points along a line.
therefore a line could be cut into other lines in infinity ways.
it's called the cantor's comb.

[lqg]

here's a thought about points.
in a line there are infinite points and so is in space.
does it mean we should deduct that a line is a space?

i think not because in space there are lines and because in lines there are infinite points so does space.
from this space isnt a line but is composed of it.

i hope my reasoning isnt fallsed.

[JaKiri]

If you mean to deduce that since lines exist in space, and infinite points exist in lines, thus space has infinite points, then you're correct.

(A->B, B->C, => A->C) (correct logic)

If you're trying to say that space is a line (or similar), then no.

(A->C, B->C, => A->B) (flawed logic)

[lqg]

i said that the letter is the problem but it's solved by the former claim.