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Feb 20, 2021 at 14:03 comment added Kori Peter Sure, am still learning lots of things including how to ask questions the right way. I meant to question current philosophy on foundations so yea I should do it with pure facts not philosophy. Thanks for the eye-opener!
Feb 18, 2021 at 20:05 comment added Alec Rhea @KoriPeter I suggest you try to formalize these notions yourself and see what you can come up with, it could be interesting. Also just a heads up that this question is one vote away from being closed as too vague/opinion based, so editing to add clarity or accepting an answer are likely going to be necessary to avoid your question being closed.
Feb 18, 2021 at 15:10 comment added Kori Peter I think there might be a way to get around the family of diagonalization lemmas, if one views them as formalizable structure as well (say anti-reflection principle), they are just part of the tower which can be considered as (anti) (co) reflection principle. This way they are interpreted into a structure that models all their effects.
Feb 11, 2021 at 14:21 history edited Alec Rhea CC BY-SA 4.0
realized i was thinking of coproducts, not colimits
Feb 11, 2021 at 11:46 history answered Alec Rhea CC BY-SA 4.0