Giving birth to a conjecture — a proposition that is suspected to be true, but needs definitive proof — can feel to a mathematician like a moment of divine inspiration. Mathematical conjectures are not merely educated guesses. Formulating them requires a combination of genius, intuition and experience. Even a mathematician can struggle to explain their own discovery process. Yet, counter-intuitively, I think that this is the realm in which machine intelligence will initially be most transformative.
Pattern: AI-driven mathematical discovery and protocol development.
Weak Signal: Cambrian explosion of mathematical conjectures and protocols.
Counter-Signal: Math and protocol dark matter. Drawing an analogy to dark matter in physics, the proliferation of AI-generated conjectures and protocols may become increasingly difficult for humans to interpret or validate.
Notes
The pattern, weak signal, and counter-signal triplet is a form of information compression. This structure allows me to express perspectives and uncertainties that would otherwise require lengthy explanations.
In an AI-mediated world, alongside weak and strong protocols, a third category may be necessary: strange protocols. Drawing on AlphaZero's move 37, which confounded human Go players, and the concept of strange attractors in complexity theory, where intricate patterns emerge from simple rules, strange protocols could represent AI-mediated protocols that emerge from the interactions of vast networks of AI agents operating at unimaginable speeds. These protocols might exhibit unconventional properties that defy existing human understanding, yet could potentially lead to surprising solutions.
I might incorporate strange protocols into my PILL project, The Persistence of AI-Mediated Protocols.
Any thoughts?