Hacker News new | ask | show | jobs
by somewhereoutth 1148 days ago
Yes, and I conjecture that the necessary complexity can only be found in 'flesh and blood', i.e. analogue, as opposed to 'on/off' digital approximations. Mathematically the real numbers are unimaginably more numerous than the countable numbers (see Cantor), thus a system with a countable state space (i.e. digital computers) cannot embody the complete complexity of a similar real state space system (i.e. the human brain) regardless of how 'big' you make it. There just aren't enough whole numbers.

I term it the 'Cardinality Barrier', and thus sleep easily through this latest AI 'bloom'.

1 comments

A computer could clearly emulate the neurons in the human brain right now if we could map the connections and their strengths accurately - the human brain has many less neurons than GPT4 has parameters.
But it is not just the number of neurons and their connections, there are lots of analogue factors too, and my conjecture is that the magic happens somewhere beyond what can be digitized.