- Hyun Kim
- Round Rock, TX
- United States
What determines the fact that a dimension actually exists?
This entire question is based off the assumption that a Point (0-dimensions) is nonexistent in the fact that no matter how infintesimally close you get to a point, it still does not exist other than the representation that it symoblizes a location.
Considering this assumption, I propose my question. Would the extra dimensions technically be nonexistent as well? If you have a point and stretch it across a direction, you have a line. You get the line, which is 1-dimensional, no matter how close you get to the line, since it's just an infinite number of nonexistences, wouldn't the line itself be nonexistent? The closer you get to the line, you still won't be able to say that the line exists, as the infinite number of points that make it up themselves are nonexistent.
Now this is where it gets a bit interesting. If you get a 1-dimensional line, and stretch it across a new direction, you get a 2-dimensional object, which again is made of infintesimal number of lines that are, according to the previous paragraph, nonexistent. So wouldn't that mean that the 2-dimensional object is nonexistent? Now the argument here would be that since the 2-dimensional object has area, it is existent, due to the fact that it has an infintesimal amount of points within the boundaries of it's 2-dimensional shape. I concur that this would be a valid argument if it weren't for the fact that the question was from a 3-dimensional perspective. We as humans are only capable of experiencing 3 dimensions, but there is nothing that says that there can't be more dimensions! If you looked at the 2-dimensional shape from a 4-dimensional perspective, the object would again, become basically nonexistent, just like the line is nonexistent in our 3-dimensional perspective! This could be said the same for the 3rd dimension, from a 5-dimensional perspective! Is this assumption correct or totally out of the ballpark?