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[SalmonGod]

* SalmonGod 's mind breaks from trying to understand how the gigantic eldritch tentacle monstrosity just fit under a door

So much for evolution.  What's applied insanity?

[Max White]

Politics.

[SalmonGod]

That makes sense...

So... our world really is secretly dominated by eldritch horrors driving everyone mad?

Now it all makes too much sense...

[Max White]

And that was when SalmonGod became a scientologist.

[Rose]

Look, imagine a dot. That's zero dimenstions.

Now imagine two dots connected together. That's a line. That's one dimension.

Now imagine two lines connected together, that's a square.

Now imagine two squares connected to each other. That's a cube.

Now imagine two cubes connected to each other. That's a tesseract, and that's four dimensions.

[Neonivek]

Now imagine two lines connected together, that's a square.

Or a longer line

[Max White]

Look, imagine a dot. That's zero dimenstions.

Question: How do I express the size of a single zero dimensional dot? 

[Neonivek]

Look, imagine a dot. That's zero dimenstions.

Question: How do I express the size of a single zero dimensional dot? 

A dot has no size and also has infinite size...

Actually its size is not defined

Since the only possible dimensions of a dot is 0 (as it has no dimensions and size is meaningless for a dot) and thus it is 0/0

[Max White]

So in what direction is it 0/0?

Spoiler (click to show/hide)

God I love the concept of void. So much fun.

[Neonivek]

So in what direction is it 0/0?

Not defined.

It is a no dimensional space, direction does not exist.

[da_nang]

|0| = 0

There's the size of your dot. (Well magnitude, but whatever.)

[Frumple]

... huh. What make of |0|, though? There's a lot of cannons in the world, and they come in many different sizes.

[da_nang]

... huh. What make of |0|, though? There's a lot of cannons in the world, and they come in many different sizes.

||0||= O(1)

[MagmaMcFry]

Actually, the Hausdorff dimension of a point is 0, and since the 0-dimensional real Hausdorff measure of a set is exactly its cardinality, a single point has "size" 1.

[Neonivek]

Actually, the Hausdorff dimension of a point is 0, and since the 0-dimensional real Hausdorff measure of a set is exactly its cardinality, a single point has "size" 1.

The thing is, at dimension 0 that single point is everything and nothing.

It cannot have a defined dimension because it lacks dimension.

Think of it this way. What is the dimensions of an object without dimensions?

Mind you if you are saying that a 0-dimensional object is only defined as 1 or 0 (as in if it exists or does not exist) then yes that makes sense as well. It still has no dimension that I can surmise, only raw existence.