Lecture II

You know, perhaps, that the modern world conception has sought to characterize the phenomena of tone, color, warmth, etc. as only subjective, whereas it characterizes the so-called primary qualities, the qualities of weight, space, and time, as something not subjective but objective and inherent in things. This conception can be traced back principally to the English philosopher, John Locke, and it has to a considerable extent determined the philosophical basis of modern scientific thought. But the real question is: what place within our systematic science of nature as a whole do mathematics, do mechanics—these webs we weave within ourselves, or so it seems at first—what place do these occupy? We shall have to return to this question to consider the specific form it takes in Kantianism. Yet without going into the whole history of this development one can nonetheless emphasize our instinctive conviction that measuring or counting or weighing external objects is essentially different from ascribing to them any other qualities.