Paradigm Emergence Map
Maths AI
Maths AI emerges as a self-evolving local cognitive civilization: agents mutate reasoning strategies, but proof, code, simulation, and benchmark reality gates decide what survives.
Weak + Innovation
Weak point: Weak: self-confirming recursion
The largest danger is agents agreeing with each other without external proof, executable tests, simulations, or empirical checks.
Innovation opportunity: Innovation: reality-gated evolution
Make self-improvement compete through theorem proving, code tests, simulations, compression gains, failed-attempt review, and rollback-safe lineage.