To add to that, I must leave the human perception of colour. Some people are colourblind, with a certain perception of colour. Another has a more vibrant interpretation, a non-colourblind person. With such inconsistencies, how can one say there is a singe way that the world is, that humans can know?
You don't know for sure that no one can think in more than three dimensions. You only know that YOU can't. In other words, you don't know that someone else doesn't have a somehow more objective understanding of the universe.