1 – All stimulation begins with sequences of pulses. That’s all nerves and neurons do – measurements of relations. – predicting fragments (of potential referents)
2 – All sequences of pulses produce relations – measurements of relations. = predicting components of objects (potential referents)
3 – All sequences of relations produce spaces, objects, and boundaries – measurements of relations. – predicting the objects (referents)
4 – All bodily actions on spaces, objects, or boundaries require measurements – of relations (possible actions)
5 – All language consists of sets of measurements of constant, contingent, and non-relations between measurements. (it must)
6 – The language of Mathematics consists of the language of commensurability between measurements of constant relations.
7 – The mathematical disciplines consist of systems of measurement for increasingly complex relations (Dimensions)
8 – Statistics is the beginning of the recursive loop the cycle of commensurability of references.
9 – This is why n-body particles (waves) in physics are calculated probabilistically (by quanta).
10 – The limit of mathematics is smaller than the limit of computability (permutation) (some descriptions are constructible, but not predictable, nor deducible.)
11 – Mathematics is the scale-independent, referent independent, language of commensurability between inter-dependent referents in constant relation.
12 – Unfortunately the intuitionistic program failed to reform mathematics into a science (operationalized).
13 – Unfortunately Babbage’s revolution failed, and Cantor, Bohr, and less so Einstien re=platonized mathematics, and math was built on sets (platonic) not operations (scientific).
The structure of all language, and of the sub-language of mathematics can be put on a poster just like the periodic table. The archaic terminology replaced with operational terminology and children would find it much easier to learn.
Math ‘works’ for constant relations (the physical world) less so for the economic world, and less so for the sentient world, because it’s dead simple. It has one property. “Order in the Sequence”, and every name in the sequence has a unique positional name, so the language of mathematics is closed to conflation, making it an ideal language for measurement. And because it is reference independent, it provides commensurability between referents, and because it is scale-independent it provides scale-independent, arbitrary precision.
Math is a very simple thing. A stupid simple thing. it’s not the language of math itself that’s complicated. It’s that deducing increasingly complex measurements with that language is increasingly difficult unless you can learn to imagine mathematical structures in your mind by repetition.