o/ Edinburgh, Session 1878-79. 
231 
( 3 ) 
W 
(5) 
( 6 ) 
(7) 
1 1 
8- a— 
S or 
1 1 
*8 
1 1 
cr S - 
cr 8 
1 1 
cr s~i 
<r d 
1 X 1 
o — 6~ = cr~ 
cr or cr 
( 8 ) 
1 1 1 
o— cr <y ~ 
cr d o 
(Art. 24) 
Subscript letters are to be understood. If in the case of 1 or 7 the 
subscript letters are the same, then 
A = B. 
26. To prove that 5- = 0 . 
Let 
A = 
or 
that is, let A be the son of a male who is the mother of the 
male B. 
But this is impossible in the case of the human species, where sex 
is monoecious. Hence A is imaginary ; and therefore 
0 = s-B , 
cr 
whoever B is. 
27. The different permutations of the four fundamental symbols 
used directly and inversely may be exhibited in a table. I append 
one-fourth part of the complete table, marking the expressions 
which are impossible or which denote coincidence. 
ss 
Sc 
sd = 0 
58 = 0 
1 
1 ^ 
1 
1 r 
s 
5 ' =0 
s d 
5 ^ = 0 
s 
cr 
8 
1 
1 
1 
1 
- 5=1 
“ cr 
-d = 0 
-8 = 0 
5 
s 
5 
5 
1 1 
A I.o 
8 cr 
1 1 
1 1 
8 S 
5 d 
5 8 
2 c 
VOL X. 
