realistically if you look at it mathematicians true grounded education stops after addition of physical matter
after that youre digging into youre own ungrounded imagation. because someone came in inserted reification and arbitrarly seperated math and physics. it could have been done with it not seperated and still can, but youll have to go back. You’ll have to get rid of all ungrounded assumptions and subjective arbitrary rules and strict definitions.
The way foward past addition of physical matter is to not insert reification and not seperate math and physics.. it’s that simple. And again that means ridding arbitrary man made rules and definitions.
These arbitrary 1984 style rules control physics. (For example the rule that says you can’t use objective observable reality to justify or rebut an axiom in pure math)
This cuts off any kind of grounded math period.
This controls and limits physics period. You can’t just ignore pure maths axioms in applied math or physics because past addition of physical matter physics uses math built on those ungrounded axioms. That’s a trap
There is no justification for math to insert a subjective catch 22 rule that says you can not use objective observable reality to justify or rebut an axiom in pure math. The rule is not a technical or logical limation. it’s a choice.
Past addition of physical matter you are committing serial reification, reversing cause and effect(trying to make concepts fit into reality instead of using reality to make a concept), circular reasoning, and protecting dogma.
If this is a system of a control, then it’s a perfect one. They teach you utility and consistency as a defense while knowing consistency and utility can still work inside of a false axiom. They teach you it doesn’t matter if math refers to objective reality while knowing math controls the field of physics.