113 
course was acted upon in relation to another member, but 
whether any evil results accrued does not appear. The last 
entry in the volume is that of the 43rd general meeting, 
23rd October, 1807, when Mr. Peter Clare was re-elected 
President, Mr.' Godfrey Fox, Vice-President, and Mr. John 
Hodson, Secretary. The papers brought before the meet- 
ings included communications on “ History,” “ Human 
Passions,” ^'Galvanism,” General Laws of Matter,” “In- 
human Treatment from Man to Animals,” “Temperance,” 
“ Mechanics,” “ Comparison between Ancient and Modern 
History,” “Present State of Morals,” “Electricity,” “Elo- 
quence.” This last was the essay of Mr. John Shuttleworth, 
and it is grievous to find that only one member and two 
visitors attended. It was read however at the succeeding 
meeting to an audience of six. Whether there are any more 
records of this society in existence is not known. Probably 
the society died without a pang, and hence the minute-book 
would naturally remain in the hands of its former Secretary. 
“On Compound Combinations,” by Prof Cayley, F.P S., &c. 
Prof Clifford’s paper, “ On the Types of Compound State- 
ment involving Four Classes,” relates mathematically to a 
question of compound combinations ; and it is worth while 
to consider its connection with another question of compound 
combinations, the application of which is a very different 
one. 
Starting with four symbols, A,B,C,L, we have 16 
combinations of the five types 1,A,AB,ABC,ABCD 
(l-f4-}-6 + 4-|-l = 16 as before); but in Prof Clifford’s question 
1 means A'B'C'D', A means AB'C'I)', &c., viz., each of the 
symbols means an aggregate of four assertions; and the 16 
symbols are thus all of the same type. Considering them 
in this point of view, the question is as to the number of 
types of the binary, ternary, &c., combinations of the 16 
combinations; for, according as these are combined 
