Oct 10, 2019, 11:19 AM
—“Sometimes I wonder about mathematics. Why is there deeper structure?”—
1 – The opposite. Mathematics is trivial. It consists entirely of positional names, and nothing else. Positional naming provides scale independence b/c positions are all ratios; arbitrary naming (correspondence), and invariable constant relations because of that single dimension.
2 – Just as the nautilus produce patterns because of ratios or previous ratios, all other ratios of ratios (mathematics) produce patterns. So mathematics consist of a language (grammar and semantics) of constant relation using positional names.
3 -The physical universe makes use of a more complex grammar we call the fundamental forces. Those fundamental forces consist of constant relations to one another, and are expressible in the language of constant relations using unique names by positional naming.
4 – So we see patterns in the universe (forces, particles, elements, molecules, biological molecules, proteins, cell walls etc because the available ratios of those fundamental forces are limited in permutation. However, the permutations of each level of permutation increase.
5 – So the fundamental patterns of the universe are simply the consequence of different ratios of the constant relations between different fundamental forces, which we can name with positional names, that we call numbers, and describe by changes in position in or across time.
6 – Math isn’t complicated, it’s trivial. More trivial than the foundations of the universe, which is why we can measure the foundations of the universe and all that results from it until we approach sentience at which point the purpose of memory is to outwit those constant relations …
… and to capture the difference to defeat entropy, in a process we call ‘life’.