Jan 22, 2020, 8:50 AM
Math is just a language like every other, consisting of referents (arbitrary categories), nouns (referrers, names of each instance of that category) verbs (operations) and agreement (true/false), but it has only one subject: positional relations, with only one property of its names (position).
Because of this singularity of content (name: position, action: operation) and scale independence (positional names), this ‘language’ we call mathematics, with which we produce statements (sentences), that we call well-formed (unambiguous), using the ‘grammar’ ( rule of continuous recursive disambiguation) of that language of positional names (math), and then modify (change) by operations (transactions) that preserve the constant relations (ratios), and therefore agreement (truth), we can describe any unambiguous set of constant relations humans can reference.
As such if we cannot describe a given set of relations with some degree of mathematical precision, by some form of proxy, then we cannot claim to make truth (agreement, agreeable) statements about it.
(Working on demarcation between pure mathematics and applied mathematics).