390 Mr Wiener, A Simplification of the Logie of Relations. 
of the calculus of classes it is an exceedingly simple matter to 
deduce any of the propositions of *21 which are not explicitly 
used for the purpose of deriving the properties of relations from 
the particular definition of relations given there, and from this — 
it is easy to prove that the formal properties of the objects I call 
relations are essentially the same as those of the relations of the 
Principia. 
But it is obvious that since they are also classes, our relations 
will possess some formal properties not possessed by those of the 
Principia. I give in conclusion a table of some of the more — 
interesting of these: 
bihus= hus 
F.RaS=RAS 
Poi SS 5S Suan (Cs) 
tF.R—S.=.R+S 
Poy 
Pa AN = aN 
Ft. Rel C Cls 
Fb: Rox .=. RpK 
F: Rsx.=.Rs« 
F.at+@6sms‘a7 8 
Po@) << (esi 9p /S) 
