Absolute Logic

I have a burning question. Does reasoning depend only on our experience? I came across few ideas that support this notion. For example, researchers say that our brain works by means of input to output mapping. Of course, this mapping is very complicated and with changing experiences, the mapping also changes. If this is true, logic is probably relative.. right?

One interesting example: It is argued that we can't see a world having other than three physical dimensions in our minds. Apparently, we can see a 2D plane in 3D space, but can't imagine the whole world to be in 2D. This puts serious limitations on our ability to imagine. May be there is some credit to the quote by J.B.S. Haldane after all.

Universe is not only queerer than we suppose, but queerer than we can suppose.