Ok so I was just thinking and realised that instead of a Cartesian plot, you can represent points in an n-dimensional space by drawing n parallel lines and marking a point on each line. Of course this is less appealing than the traditional plot because we perceive 3d space in a way more similar to a 3d Cartesian graph. But of course, what we perceive is a construction created in our brain in order to understand the world - we do not perceive things directly but rather we see a representation of the information received in our brains. So this got me thinking, is our perception of space as a Cartesian plot rather than a set of points on parallel lines simply our brain's interpretation of the information, or do we see it like that because that's the way it is physically and independently of our perception of it? I've always been interested in trying to understand to what extent the world exists independently of our perception of it and this serves as a good example to discuss the issue.