DESCRIPTION OP A NOTATION FOR THE LOGIC OF RELATIVES. 329 



But not only may any absolute term be thus regarded as a relativ term, but any 

 relative term may in the same way be regarded as a relative with one correlat< 

 more. It is convenient to take this additional correlate as the first one. Then 



l,8vr 



will denote a lover of a woman that is a servant of that woman. The comma here 

 after I should not be considered as altering at all the meaning of / , hut as only * 

 subjacent sign, serving to alter the arrangement of the correlates. In point «>f fact, 

 since a comma may be added in this way to any relative term, it may he added to 

 one of these very relatives formed by a comma, and thus by the addition of two 

 commas an absolute term becomes a relative of two correlates. So 



m„b,r , 



interpreted like 3 ° " > 



means a man that is a rich individual and is a black that is that rich individual. Bat 



this has no other meaning than 



m,b,r , 

 or a man that is a black that is rich. Thus we see that, after one comma is added, 

 the addition of another does not change the meaning at all, so that whatever has 



comma after it must be regarded as having an infinite number 



If. therefore 



the 



„„ same as l,sw (as it plainly is not^ because the latter means a lover and 

 servant of a woman, and the former a lover of and sen-ant of and same a, a woman), 

 this is simply because the writing of the comma alters the arrangement o the corn, 

 lates. And if we are to suppose that absolute terms are multipliers at al. (as math- 



ematieal generality demands that we should), we must regard every term as be ,g a 



relative requiring an infinite number of correlates to its virtual infimte > nes J* 

 is _ and I - and is _ etc." Now a relative formed by a comma o ««m 

 ceives its subjacent numbers like any relative, but the qi.est.on ,s What are to fc 



the implied subjacent numbers for these implied correlates Any «rm .may ^b. » 



having an infinite number of factors, those at the end bemg o»,», thus, 



garded 



Z,sw 



f. in 1, 1, 1, t> 1 



But all these ones de- 



„4- rt c tvf> r>Iea<;e But nil tnese one* uv 



A subjacent number may therefore be as great » we pi - * 



note the same identical individual denoted by w, «1 »**•"«■ J 



note me same lut'nutai ax^** . a . u , h f ;<,»v What 



numbers to be applied to , for —e on account of ? mfin . **£ ^ ^ 

 ^ „,„ aP ™ rate it from being identical with ft I J 



numbers can separate 



first is zero, which plainly neutralizes a comma completely, since 



Sj0 w = sw, 



