72 CLASSIFICATION OF THE SCIENCES. 



and invariable connexions that between each kind of 

 phenomenon and certain other kinds of phenomena, 

 there exist uniform relations. This is a universal 

 abstract truth that there is an unchanging order 

 among things in Space and Time. We come next 

 to the several kinds of unchanging order, which, 

 taken together, form the subjects of the second 

 division of Abstract Science. Of this second divi 

 sion, the most general sub-division is that which 

 deals with the natures of the connexions in Space 

 and Time, irrespective of the terms connected. The 

 conditions under which we may predicate a rela 

 tion of coincidence or proximity in Space and 

 Time (or of non-coincidence or non-proximity) form 

 the subject-matter of Logic. Here the natures and 

 amounts of the terms between which the relations are 

 asserted (or denied) are of no moment : the proposi 

 tions of Logic are independent of any qualitative 

 or quantitative specification of the related things. 

 The other sub-division has for its subject-matter, the 

 relations between terms which are specified quanti 

 tatively but not qualitatively. The amounts of the 

 related terms, irrespective of their natures, are hero 

 dealt with; and Mathematics is a statement of the 

 laws of quantity considered apart from reality. Quan 

 tity considered apart from reality, is occupancy of 

 Space or Time; and occupancy of Space or Time 

 is measured by the number of coexistent or sequent 

 positions occupied. That is to say, quantities can be 



