All hail the trinity.
All people that say all programs are Turing complete, and therefore equivalent, need to be slapped.
https://link.springer.com/article/10.1007/s10817-021-09604-0
Also formal logics are picking up speed, due to being more democratic than conventional proofs and easier to collaborate on.
Well I woke up raging against the smallness of elementary number theory, and wanting to listen to Infected Mushroom. That coffee must have been strong.
Are you a cat-top-phys-logicist?
5 way Rosetta stone of physics-topology-categories-logic-computation, for the luls.
https://arxiv.org/abs/0903.0340
"a general science of systems and processes" is, admittedly, not very catchy though.
I am pretty curious about how to use automated reasoning systems to help discover new things, use and verify old ideas, and generally make my life easier.
Current events I try to keep up on
- Math Logic community (The Journal of Symbolic Logic)
- Statistics community (JASML, AoS)
- Algebra community (JoA, JoAG, JoPaAA, SIGSAM)
- Formal Methods community (CAV/TACAS)
Passing the learning curve up to current events
- Abstract Algebra (Dummit, Foote)
- Commutative Algebra (Eisenbud)
- Algebraic Geometry (Hartshorne)
- Mathematical Logic (Mendelson)
- Model Theory (Marker)