Board Thread:Questions and Answers/@comment-26993961-20170601153518/@comment-29375707-20170601203548

No... logic has no relation to space or number of dimensions. Even logic walks intimately with mathematics and geometry, encompassing not just three dimensions but dimensionality as a whole. Further, to say that the laws of logic may change depending on space is to say that their propositions are contingent, and not necessary, which is absurd for modal logic, for it is precisely logic that defines what is contingent or necessary.

You can say, though, that part of the geometry would change from dimension-to-dimension, dealing with how shapes can occupy space, yet it isn't to this principle that I am referring to, but to the basic principles of classical logic, such as the non-contradiction law, which is independent of any influences of space.