74 CLASSIFICATION OF THE SCIENCES. 



units of time being given, the spaces traversed with 

 uniform or variable velocities are estimated. These 

 Abstract Sciences, which are concerned exclusively 

 with relations and with the relations of relations, may 

 be grouped as shown in Table I. 



Passing from the Sciences that treat of the ideal or 

 unoccupied forms of relations, and turning to the 

 Sciences that treat of real relations, or the relations 

 among realities, we come first to those Sciences which 

 deal with realities, not as they arc habitually mani 

 fested to us, but with realities as manifested in their 

 different modes, when these arc artificially separated 

 from one another. In the same way that the Abstract 

 Sciences are ideal, relatively to the Abstract-Concrete 

 and Concrete Sciences ; so the Abstract-Concrete 

 Sciences are ideal, relatively to the Concrete Sciences. 

 Just as Logic and Mathematics have for their object 

 to generalize the laws of relation, qualitative and 

 quantitative, apart from related things; so, Mecha 

 nics, Physics, Chemistry, etc., have for their object 

 to generalize the laws of relation which different 

 modes of Matter and Motion conform to, when seve 

 rally disentangled from those actual phenomena in 

 which they are mutually modified. Just as the 

 geometrician formulates the properties of lines and 

 surfaces, independently of the irregularities and thick 

 nesses of lines and surfaces as they really exist; so, 

 the physicist and the chemist formulate the mnni- 



