coexistent, or as occupying Space—the division called Geometry. And then we arrive at relations, the terms of which include both quantities of Time and quantities of Space—those in which times are estimated by the units of space traversed at a uniform velocity, and those in which equal units of time being given, the spaces traversed with uniform or variable velocities are estimated. {85} These Abstract Sciences, which are concerned exclusively with relations and with the relations of relations, may be grouped as shown in Table I. * * * * * TABLE I. ABSTRACT SCIENCE. Universal law of relation—an expression of the truth that uniformities of connexion obtain among modes of Being, irrespective of any specification of the natures of the uniformities of connexion. Laws of relations that are qualitative; or that are specified in their natures as relations of coincidence or proximity in Time and Space, but not necessarily in their terms the natures and amount of which are indifferent. (LOGIC.)[4] that are quantitative (MATHEMATICS) negatively: the terms of the relations being definitely-related sets of positions in space; and the facts predicated being the absences of certain quantities. (_Geometry of Position._[5]) positively: the terms being magnitudes composed of units that are equal only as having independent existences. (_Indefinite Calculus._[6]) equal units the equality of which is not defined as extensive, protensive, or intensive (_Definite Calculus_) when their numbers are completely specified (_Arithmetic._) when their numbers are specified only in their relations (_Algebra._) in the relations of their relations. (_Calculus of_ _Operations._) the equality of which is that of extension considered in their relations of coexistence. (_Geometry._) considered as traversed in Time that is wholly indefinite. (_Kinematics._) that is divided into equal units (_Geometry of Motion._[7])