toxicTom: You confirm my point ;-). You are right that a cylinder is not necessarily a "square" circle. That would only be true if the height matches the diameter. But it is a rectangular circle at least. What you do is to refuse to leave your "plane". If you project a three-dimensional cylinder into a two-dimensional space, it can be a circle, a rectangle and in-between shapes, but it's the same object.
If you were an two-dimensional being (like Star Trek space battle choreographers obviously are) you couldn't even image "height". You would know squares and circles but the cylinder would be kind of an inexplicable miracle from your point of view.
Soyeong: Both a rectangles and squares have four straight sides and four right angles, so neither one can have curved sides or be a cylinder. It is possible for a three-dimensional object to be represent by a two-dimensional figure, but the three-dimensional object does not take on any of two-dimensional properties, and vice versa. If you represent a cube with a square, the square does not increase to six sides and the cube is not reduced to four.
A cylinder viewed (projected) from the top is a perfect circle. From the side it's an rectangle, a square, if the diameter of the circle equals height. The cylinder (as geometrical object) has the same properties as the circle AND the rectangle (and a few more).
It all depends on your point of view. If you are two-dimensional, the cube has for sides, because the other dimension is off limits.
I know what you are trying to say: a two-dimensional square circle is not possible. But what I want to show is - things that seem illogical/impossible often become possible if you think "outside the box". If we are not aware of our own limitations we may jump to conclusions to explain "unknowable" things.
toxicTom: If there are more than three spacial dimensions, what we see is just a projection of an incredibly more complex world into our three dimension. If time is more than we can perceive, things get even more crazy.
Soyeong: The law of non-contradiction states that it is impossible for the same thing to belong and not to belong at the same time to the same thing and in the same respect, so if you're switching dimensions, then you are not talking about it in the same respect, and it is not a violation of the law of non-contradiction like a square circle is.
I don't believe in the law of non-contradiction (anymore).
toxicTom: No. I think that the universe had a beginning in
our sense of time and space. I just doubt that's all there is. Limited that we are we are unable to build four-dimensional telescopes or two-dimensional clocks.
Soyeong: If you're willing to grant that the universe had a beginning is our sense of time and space, and that nothing comes from non-being, then our universe has a cause.
You did not understand me. Image a stange creature like a Star Trek space battle choreographer watching a ball jump up and down from a distance. Since he is two-dimensional he can see only a width and depth. At first there is nothing. Then there is (out of nowhere) a dot and a line that rapidly expands. As the ball passes his view, the line reaches the maximum width then shrinks with increasing speed and finally disappears.
I think we are like that guy. We see the something we can observe, put our instruments to it, but can't explain and we try to make some sense.
Soyeong: Christians generally do not hold that being in the likeness of God is in His physical form, but that we are in his likeness mentally, morally, and socially.
SCNR but:
God is mentally unstable, morally flexible (ok, there's enough evidence for that) and socially caught in an "us vs. them" thinking?
I'm sorry, if some god created man from his image like that, he was either incapable to do it right or it was Odin (all attributes would fit).