How do you interpret nominalism? The paradox of perception in the context of this discussion is perplexing. Mathematics obviously would seem to apply to matter. Take your childhood bicycle: you can take off a handle, then divide that into two with a buzzsaw. So you have the bicycle and two parts. How many parts total? 3. Can't you divide one of the halves too? Now you have 4 pieces. As long as there is something there that is spatial the process, to the logical mind, would descend to infinity, and putting the bicycle back would fill up WITH infinity, into... a finite bike. I know mathematics has a lot to say about this, but as a description of something spatial it is very curious. The principle of infinity seems suspended within the concept of "the finite". It's like they are two sides of each other. The number 1 can be divided to infinity, but it's much more odd when doing this with spatial objects (because space has size). So we say "real spatial objects have much more to them then mathematical relationships to themselves. These other aspects make the mathematical sides appear distorted". This sounds to me like we're on acid and are seeing a round triangle. That can actually happen! But in the real world, when the mind and intuition is clear, we can see with perfect clarity, when observing a car or bicycle, what it is. We can "know it". Yet when the mind is elsewhere, we don't seem to feel we grasp the whole thing. There seems to be more to it that we can't get to, and this increases the sense of mystery, which in turn is the foundation of a latter focus of the intuition which, then, sees the object as it is
Just a barrage of thoughts...