Some interesting observations thanks Santeri. I’d actually come back on here to delete that whole last part, as once I’d unpacked it on paper it clearly didn’t help make the point I was trying to make. It’s really messy compared to the simplicity of just mind as fundamental unity, and I have no idea what shapes or gaps or spinning relate to in a context that has no space or time. It’s something that’s been with me for a while now but I haven’t paid it much thought.SanteriSatama wrote: ↑Mon Mar 15, 2021 11:34 pm
Sorry for interfering, but this has been a main field of interest for me for quite a while now. Your intuition is not at all nuts, it's a good exploration in process.
It's a natural and common way to start imagining dimensionality from the idea of point-like singularity. It's a good heuristic method, but we should be careful not to confuse heuristic intuition with most coherent and fundamental ways to think geometry and mathematics. It turns out that in many ways plane is more fundamental than line or point; and if we start from a point, many unsolvable math problems follow. On the other hand, singularity in the sense of "first" flash of light in the darkness is a very deep spiritual concept/event.
Speaking of other hand, chirality (from Greek word for hand) is a very fundamental concept-phenomenon, the necessary "asymmetry" before thinking plain geometric symmetries like Euclidean orthogonal coordinate system becomes even possible: I put "asymmetry" of chirality in scary quotes because I consider it a form of symmetry, not the opposite.
Not sure how the idea of 'gap' enters your discussion, but it also very deep and important. Alain Badiou, a top rate philosopher of mathetics, observes that the very idea of Number follows from the idea of a gap in continuum. In this sense God of the Gap (in the positive meaning, not the mocking meaning) is the same as God of Number Theory. The notion of 'quantum' also refers to a gap in continuum, which is prior to the metaphysical postulation of quantification and discrete separation of numerical quantities.
Before we fall too deep in the gap of quantification, unable to find our way back (as in scientism and attempts to limit divine into any discrete number) another more fundamental relation is worth attending. A gap is less than the continuum, whole is more than a hole.
A gap is discontinuous only in relation to a line, when we lift or drop our gaze below or above the broken line, we can see that the discontinuity was an illusion, we were looking at a plane from a hole in it. And when we allow the plane also to curve instead of staying only flat, perhaps we can also see, with the mind of the eye, that also our own form, with our chiralities of stretching our hands in all directions, is also continuous with the plane.
The fact that you seem to have found some sense in elements that are just a kind of ‘image of a process” to me is intriguing. I hadn’t thought about the natural “gap” in quantum phenomena, the lack of an in between ‘place’. Also natural numbers, ‘the one pulled apart to make two’ etc
Interesting also your comments on the plane as more fundamental. My intuition is of something being folded out, but it’s pull, turn, pull, turn. The first turn creates a plane, in 2D, the next a 3D space, then 4D etc.
Anyway I still think it’s a bit nuts, but maybe I should at least try to work out why it’s stayed with me all this time.