Squidgers wrote: ↑Sun Jul 18, 2021 11:30 pm
I'll give an example. The fourier transform is found throughout nature. Perhaps its form and rule set (that which makes it function the way it does can be extracted into a more generalised rule set. This generalised form we might find useful and more ubiquitous in surprising ways.
Another example might be the archetypes of chaos and order (or symmetry and anti-symmetry?) could be generalised through the function we see these archetypes playing out in the world. Perhaps the dialectic is a kind of generalise form of the relationship between these archetypes
Exactly. The key is that we go from particular manifestations of those principles and archetypes towards the more "generalized"
meaning of them. Then we are heading in the right direction, but we are still on the 'horizontal' plane of abstract concepts and cannot approach noumenal reality. If we continue generalizing on this horizontal plane then we begin to lose all concreteness of meaning. So from there, we must get onto the vertical plane of imagination, inspiration, and intuition. I had no idea what the Fourier transform was before reading your post and by doing a Google search, I find it is, "
a mathematical transform that decomposes functions depending on space or time into functions depending on spatial or temporal frequency, such as the expression of a musical chord in terms of the volumes and frequencies of its constituent notes". With the connection to musical chord, that means we are heading in the direction of taking logical melody and adding harmony - interpenetrating soul-qualities which work together in our microcosmic activities of willing, feeling, and thinking so as to orient us properly towards the life of the Whole.
So, if someone were to ask, what is the actual
meaning of natural processes which exhibit the "Fourier transform", i.e. what are those processes pointing us towards in the realm of soul and spirit? I would answer that we need to start thinking in the direction of those living transformational activities which bring harmony to fragmented soul qualities and spiritual perspectives, and that generally involves taking on responsibility via sacrificial Love. Like I said, though, with vague and abstract answers such as that one I am still just stringing concepts together in a logical melody, as best as I can to approximate what could be the noumenal essence of those processes. If I want to go beyond the melody to experience and understand the noumenal significance of those natural processes, I must actually engage in the harmony it is pointing me towards - that is done via devotional soul-mood and work towards higher cognition. Not coincidentally, music is a great way to consciously prepare for imaginative (pictorial) thinking and even intuitive thinking.
I am at the most basic of basic understandings of these things, so I don't want to act like I have more insight than I actually do. And, even the insights I do have cannot be easily relayed with a couple of paragraphs in a post. Hence I write essays to take time and put these things together from a variety of different angles. Part 2 of my soulful aesthetics essay on music will definitely speak to what I wrote above in more detail. But, in the meantime, we can all practice this sort of imaginative thinking by trying to think about the natural relations you mention in your post with only pictures and the meaning of those pictures. Fourier "transform" is actually a somewhat simple one from what I can tell so far. Although I could definitely be on the wrong track, and the higher cognition is also the way to
test these reasoned conclusions against higher experience-thought. I would say Order-Chaos, Symmetry-Antisymmertry are much higher level processes of the spiritual realm, relating to Light-Darkness, Known-Unknown, Fragmentation-Integration, etc.