On Syllogism.

The forms of categorical propositions already deduced are

y = vx, All Ys are Xs,
y = v(1 - x), No Ys are Xs,
vy = v'x, Some Ys are Xs,
vy = v'(1 - x), Some Ys are not-Xs,

whereof the two first give, by solution, 1 -

=

'(1 -

). All not-