Quantity and Intensity

Abstract

The category of substance was as we saw a feature of any space-time which arose from the relation between the elements of Space and Time in it to one another. Existence was the occupation of a space-time. Substance was the persistence of a space in its time or the occupation of a space by a duration. Causality and reciprocity were relations of substances. The categories to which we now come, quantity and intensity, or, to follow Kants terms, extensive and intensive quantity, also arise from various essential relations within Space-Time of Space and Time to one another: As regards nomenclature, I shall follow Mr. Russell in using quantity as the concrete term and magnitude as its corresponding abstract term. Magnitude is to quantity as universality is to universal or causality to the concrete relation of cause and effect. Thus quantities may be equal to one another but their magnitudes are not equal but identical. In ordinary practice the term intensity is used indifferently, I think, for intensive quantity and its magnitude.