In Mill's inductive logic, the nominalistic convention has, through his
tendency to think in relatively watertight compartments,[118] faded
somewhat into the background. Normally he thinks of what he calls
phenomena no longer as psychological groupings of sensations, as "states
of mind," but as things and events in a physical world howsoever
constituted and apprehended. His free use of relating concepts, that of
sameness, for instance, bears no impress of his theory of the general
notion, and it is possible to put out of sight the fact that, taken in
conjunction with his nominalism, it raises the whole issue of the
possibility of the equivocal generation of formative principles from the
given contents of the individual consciousness, in any manipulation of
which they are already implied. Equally, too, the deductive character,
apparently in intention as well as in actual fact, of Mill's
experimental methods fails to recall the point of theory that the
process is essentially one from particular to particular. The nerve of
proof in the processes by which he establishes causal conjunctions of
unlimited application is naturally thought to lie in the special canons
of the several processes and the axioms of universal and uniform
causation which form their background. The conclusions seem not merely
to fall within, but to depend on these organic and controlling formulae.
They follow not merely according to them but from them. The reference to
the rule is not one which may be made and normally is made as a
safeguard, but one which must be made, if thought is engaged in a
forward and constructive movement at all. Yet Mill's view of the
function of "universal" propositions had been historically suggested by
a theory--Dugald Stewart's--of the use of axioms![119] Once more, it
would be possible to forget that Mill's ultimate laws or axioms are not
in his view intuitions, nor forms constitutive of the rational order,
nor postulates of all rational construction, were it not that he has
made the endeavour to establish them on associationist lines. It is
because of the failure of this endeavour to bring the technique of
induction within the setting of his Humian psychology of belief that the
separation of his contribution to the applied logic of science from his
sensationism became necessary, as it happily was easy. Mill's device
rested special inductions of causation upon the laws that every event
has a cause, and every cause has always the same effect. It rested these
in turn upon a general induction enumerative in character of enormous
and practically infinite range and always uncontradicted. Though
obviously not exhaustive, the unique extent of this induction was held
to render it competent to give practical certainty or psychological
necessity. A vicious circle is obviously involved. It is true, of
course, that ultimate laws need discovery, that they are discovered in
some sense in the medium of the psychological mechanism, and that they
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