It is intellectually lazy to proclaim something to be impossible in the absence of evidence or proof. In the case of the statement made here, it is provably true that Boolean logic at sufficient scale can replicate "intelligence" of any arbitrary degree. It is also easy to show that this can be perceived as an "event horizon" since the measurements of model quality that humans typically like to use are so nonlinear that they are virtually step function-like.
measurablefunc|17 days ago
But if you really do have concrete proof of something then you'll have to spell it out better & explain how exactly it adds up to intelligence of such magnitude & scope that no one can make sense of it.
hodgehog11|17 days ago
For reference, I work in academia, and my job is to find theoretical limitations of neural nets. If there was so much of a modicum of evidence to support the argument that "intelligence" cannot arise from sufficiently large systems, my colleagues and I would be utterly delighted and would be all over it.
Here are a couple of standard elements without getting into details:
1. Any "intelligent" agent can be modelled as a random map from environmental input to actions.
2. Any random map can be suitably well-approximated by a generative transformer. This is the universal approximation theorem. Universal approximation does not mean that models of a given class can be trained using data to achieve an arbitrary level of accuracy, however...
3. The neural scaling laws (first empirical, now more theoretically established under NTK-type assumptions), as a refinement of the double descent curve, assert that a neural network class can get arbitrarily close to an "entropy level" given sufficient scale. This theoretical level is so much smaller than any performance metric that humans can reach. Whether "sufficiently large" is outside of the range that is physically possible is a much longer discussion, but bets are that human levels are not out of reach (I don't like this, to be clear).
4. The nonlinearity of accuracy metrics comes from the fact that they are constructed from the intersection of a large number of weakly independent events. Think the CDF of a Beta random variable with parameters tending to infinity.
Look, I understand the scepticism, but from where I am, reality isn't leaning that way at the moment. I can't afford to think it isn't possible. I don't think you should either.