Quote Originally Posted by Rota View Post
Your friend square is still a three dimensional object. Let's say you know him as a pretty green square with only height and width. You merely cannot make out his "depth," but I can assure you it is there. If he is on paper, then his depth is measurement of the crayon's wax, the pencil's graphite, the pen's ink, or the marker's dye. If he is on TV, then his depth is just a few electrons deep of the excited electrons producing the green color.

If there was no depth, then you could not perceive him. You cannot measure a truly 2 dimensional object. You can walk right through any spacial area that you would like to imagine a 2 dimensional figure exists. It MUST have the third dimension to be comprehended in the glory of it's 2 large dimensions. We all laugh and mock it's pathetic, measly, visually inadequate third dimension.

Mr. Square cannot deny his third dimension, no matter how small. Without it, he would not exist.
Thanks for pointing that out, actually. Despite hearing the two-dimensional theory several times, I've never actually considered that. A "true" two-dimensional world could only exist in the mind, in that case.

This also makes me think of the effect of time on our existence. Along this train of thought, I wonder if we could exist. One could argue that we would have a three-dimensional form, but at least some passage of time was required to create it. Without time, could nothing exist?

Quote Originally Posted by Rota View Post
Our choice of measurement for every dimension is entirely arbitrary. Time would still "be."

Look at how we measure math (base 10 system)....
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

Let's say there's a civilization with a base 8 system instead...
1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20.

In our system, 7+7=14
In the other, 7+7=16
Binary, octal, hexadecimal <3