pointedly with physical science (of which he talks with a sort of
supercilious condescension, in one of the worst passages of his
writings, p. 401)--when all its apparent fruits were produced in the
shape of ingenious but barren verbal technicalities--what hope could be
entertained that Formal Logic could hold its ground in the estimation of
the recent generation of scientific men? Mr Mill has divested it of that
assumed demonstrative authority which Bacon called 'regere res per
syllogismum;' but he has at the same time given to it a firm root amidst
the generalities of objective science. He has shown that in the great
problem of Evidence or Proof, the Laws of Formal Logic, though bearing
only on one part of the entire procedure, yet bear upon one essential
part, proper to be studied separately: and that the maintenance of
consistency between our affirmations (which is the only special province
of Formal Logic), has great importance and value as a part of the
process necessary for ascertaining and vindicating their truth, or
exposing their character when false or uncertified--but no importance or
value except as a part of that larger exigency.

While Mr Mill was amending the Syllogistic theory so as to ensure for
Formal Logic its legitimate place among the essentials of scientific
procedure, Sir W. Hamilton was at the same time enlarging it on its
technical side, in two modes which are highly esteemed both by himself
and by others: 1. The recognition of two kinds of Syllogisms; one in
Extension, the other in Comprehension: 2. The doctrine of the
Quantification of the Predicate.--Both these novelties are here
criticised by Mr Mill in chapter xxii., which we recommend the reader to
peruse conjointly with Lectures 15 and 16 of Sir W. Hamilton on Logic.

Now whereas the main objection, by which the study of the syllogistic
logic has been weighed down and discredited in modern times, is this,