• 



284 



On the Subdivisions of Science 



cuius. The use of the termiuation 

 divisioD read as follows, viz. : — 



ics" would make this 



f Concerning (the 

 value of) Numbers: 

 Arithmetics. 



Abstract Science 

 rehiting to Space 

 (more or less close- 

 ly connected with 

 Time) : Mathematics. * 



Concerning (the 

 extent ol) Magni- 

 tudes : Geometries. 



Concerning (the [ 

 uanti- J 



relations of) Q 

 ties : Analytics. 



Pertaining to Fi- 

 niteness : Algebrics. 



i Pertaining to In- 

 ' llniteness : Fluxion- 



! ics 



or Calculics 



Dift'erential 

 Calculics. 



Integral Cal- 

 culics. 



Variation 

 Calculics. 



The other division of abstract science, viz., logics, is 

 scientifically in a state of great incompleteness, although 

 "metaphysicians" have thonght and written for thousands of 

 years. While mathematicians — also metaphysicians accord- 

 ing to my definition — have been noted for their exactness, 

 logicians (using this word in the proper and wide sense 

 resulting from my use of the term logics) have been noted, 

 as we can now judge them, for their inexactness. This has 

 been due mainly to the fact that in the absence of knowl- 

 edge, imagination, and morbid imagination, i.e., imagina- 

 tion influenced by feelings, prejudices and fears — especially 

 religious and social or political — was allowed to take its 

 place. As Herbert Spencer has it, "it may be said with 

 truth that metaphysics, in all its anti-realistic developments, 

 is a disease of language." Nevertheless there is contained 

 in the writings of metaphysical philosophers — and we may 

 class together both the materialistic and the idealistic ones — 

 much that will hereafter be available for building up the 

 science of logics. But heretofore its domain has not even 

 been recognized, so far as I am aware. The domain of 

 logics has hitherto been confounded with that of psychol- 

 ogy, which, as I have said before, is a part of anthropology. 

 Logics is divisible, analogously to mathematics, into three 

 subdivisions, viz. : — 



Abstract science relating to Time (more or less closely con- f Concerning Ideas. 



nectedwith Space): Logics \ Concerning Laws. 



* t Concerning Qualities . 



