Yes. And they are working on a similar issue of expression the consequences of constant relations as superior to set operations (which they, and I ) clearly agree are problematic (and in my opinion, one of the reasons for 20th c pseudoscience, and the failure of 20thc philosophy to contribute anything meaningful.)
My view goes something like this (and I don’t know if its been touched on in math before):
Properties > Operations > “Categories”(incl math cat) > Sets (sets of categories) > (repeat iteratively vs decompose recursively).
This is a language of constant mathematical relations that in my opinion is a reflection of verbal (theoretical) semi-constant relations expressed by the universal epistemelogical process:
Free association > pattern > wayfinding > hypothesis > theory > Law (repeat iteratively vs decompose recursively).
In other words mathematics functions as a test of constant relations, and that is the best that we can do until we discover the underlying operations.
Moreover, think of it like this: We evolved to think at human scale, and just as we use mathematics to describe relations about which we do not know the causal operations, to explore the GRANULAR, we also can engage in combinatorial ‘categories’ at higher and higher levels of abstraction in order to imagine (envision) greater and greater patterns. So that between math for reduction, and language for expansion, we are starting from the conceptual middle (human scale) and working toward the finite (descriptive) and the infinite (imaginary) using the tools of higher precisino (math, operations) and the tools of opportunity generation (langauge, free assocaiaion).
By the processs of imaginatino and reduction we attempt to construct that which is OPERATIONALLY POSSIBLE at HUMAN SCALE.
I think this is the most profound way that I know how to unify the range of human thought into a single explanatory narrative.
Source date (UTC): 2017-01-16 10:41:00 UTC
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