A network's algorithmic structure involves coherent operation over a space; without learning spaces or subspaces, researchers cannot properly distinguish algorithmic computation from lookup-table-like behavior.

“is that it's sort of it's like the difference between sort of zero-th and first-order logic like it quantifies there's there's a there's a space over which it has coherent operation and if you can't learn space if you can't learn subspaces like this then you will never be able to like properly understand like which which things are algorithmic and which things are sort of look-up table like”