Comment by pistachiopro

Take a relatively simple large language model like Llama 1. It has a context of 2048 tokens and each token can be one of 32,000 values. So the lookup table would need 32,000^2048 entries. That's not just impractically large, that's larger than cosmically large. There are only estimated to be about 10^80 atoms in the visible universe. So while a 32,000^2048 lookup table might be a valid concept mathematically, it's not anything you can intuit physically, and therefore not something you can say is incapable of reason.