m. S 



To avoid repetitions, I give here a catalogue of the letters I shall use in taiuph 

 in this paper, with the significations I attach to them. 



p. President of the Unitad ^ t a t c s S te 



r. ricli per* in. 



a. animal. 



b. black. 



f. Frenchman. u. violinist. 



h. horse. 



m. man. 



v. Vice-President of tin- Tinted v ' t» 



w. woman. 



a. enemy 



h. husband. 0. owner. 



b. benefactor. I. lover. 8. - mini 



c. conqueror 



m. mother. t/\ wil- 



e. emperor. n. not. 



g. . giver to — of 



L betrayer to — of 



ill. winner over of — to — from — . t transferrer from — to 



Numbers corresponding to Leti< r§\ 



I propose to use th 



to denote that class of individuals nbwit 



which alone the whole discourse is understood to run. The univ.-ree, thercfo 



th 



Mr. De Morgan's, is different on different neeaaiona. In this sense, 

 discourse may run upon something which is not a subjective | «rt of tie 

 for instance, upon the qualities or collections of the individuals it contains. 



b 



I propose to assign to all logical te 

 ber of individuals it denotes; to a relative term, the average nnrnbet of thmgs m 

 related to one individual. Thus in a universe of perfect men (nu„ i. the numb, r of 



- tooth of" would be 32. The number of a relative with two corn-la., would be the 



average number of things so related to a pair of individuals; ind soon or relame, 

 of higher numbers of eorrelates. I propose to denote the number of a loped term 

 by enclosing the term in square brackets, thus, [(]. 



The Signs of Inclusion, Equality, etc. 



I shall follow Boole in taking the sign of equality to **^'J£* 

 v denotes the Vice-President of the United States, and p the .Wen. of .he natn 



of the United States, 



v = p 



means that every Vice-President of the United States is Preside nt of the Sem, . 

 every President of the United States Senate is Vice-P. -** The Mgn 1c. Ihnn 



M 



is to be so taken that 



f < m 



