After this characterization of science's own peculiar sort of ideality, with the ideal infinities variously implied in its sense, we are confronted from a historical perspective with the contrast which can be expressed as follows: no other cultural shape on the historical horizon prior to philosophy is in the same sense a culture of ideas knowing infinite tasks, knowing such universes of idealities which as a whole and in all their details, and in their methods of production, bear infinity within themselves in keeping with their sense.