I'm going to make this brief; I have two tests on Monday, I'm moving out on Saturday, and I have a friend from out of town to entertain all weekend, so I'm quite busy! I did have time to smoke a cigarette with the guy who just moved in across the way and have a short discussion.
I feel very strongly that he is incorrect in this assertion, but I do not think I've nailed down my position...I don't really have time to think about it myself anyway...but I'm sure some of you will have interesting points to share.
When having a spatial disagreement, I asked if a one-dimensional object could exist. He said, "yes, it could," and proceeded to go so far as to posit "flourishing" one-dimensional organisms who would naturally be incapable of perceiving the second dimension. I understand this theoretical example as a way to better explain the inaccessability of the fifth dimension to us, but I would not take it far enough to say that a one-dimensional organism could actually exist.
To make my position more clear, I suggested we move on to two-dimensional objects. For this point it makes no difference because I maintain that a spatial value of '0' implies nonexistence, period. And here I am referring to the spatial value of height, for instance.
He went on to speak of other possible universes with other rules, maybe unfathomable ones, so that these objects may exist there. While I love to play with the idea of infinite universes with different laws, I do not believe that allows for the existence of contradiction according to our systems of measurement and description, if they are applicable.
Let me elucidate this a bit - in all possible universes with all possible laws, a square circle cannot exist. I hold to this firmly and think that justifying disagreement on this fact is a very tall order. So, while I may be able to conceive of the possibility of universes existing with neither time nor space, (though I cannot conceive of the universes themselves), I cannot conceive of a universe with time and space that allows for the existence of a two-dimensional object. I think this is purely a matter of reason in a similar vein as the 'square-circle' argument.
So let me restate, an object with a spatial value of 0 cannot exist. It is constrained to the realm of ideas. IF space and time apply to the given universe, I believe this fact is universal.
What are your thoughts on this?