Take "infinite" as you would take the recursiveness of language, there is a set of finite words or particles from which you can just "create" infinite combinations. About the numer of dreams, do you reckon there is something like a pool of dreams we use one by one until it's empty?

Indeed, it seems difficult to dream of the Kloopezur, infinite meta-minds whose n-dimensional point-thoughts are individual configuration frames in spacetime arrangements of relative velocities of all particles in our current universe, who have long solved the meta-problem of solving infinite problems with finite resources. It seems particularly difficult to dream about the infinite lives of an infinity of Kloopezur.