§ 3. The Laws of Thought are conditions of the logical statement and
criticism of all sorts of evidence; but as to Immediate Inference, they
may be regarded as the only conditions it need satisfy. They are often
expressed thus: (1) The principle of Identity--'_Whatever is, is_'; (2)
The principle of Contradiction--'_It is impossible for the same thing to
be and not be_'; (3) The principle of Excluded Middle--'_Anything must
either be or not be_.' These principles are manifestly not 'laws' of
thought in the sense in which 'law' is used in Psychology; they do not
profess to describe the actual mental processes that take place in
judgment or reasoning, as the 'laws of association of ideas' account for
memory and recollection. They are not natural laws of thought; but, in
relation to thought, can only be regarded as laws when stated as
precepts, the observance of which (consciously or not) is necessary to
clear and consistent thinking: e.g., Never assume that the same thing
can both be and not be.
However, treating Logic as the science of thought only as embodied in
propositions, in respect of which evidence is to be adduced, or which
are to be used as evidence of other propositions, the above laws or
principles must be restated as the conditions of consistent argument in
such terms as to be directly applicable to propositions. It was shown in
the chapter on the connotation of terms, that terms are assumed by
Logicians to be capable of definite meaning, and of being used
univocally in the same context; if, or in so far as, this is not the
case, we cannot understand one another's reasons nor even pursue in
solitary meditation any coherent train of argument. We saw, too, that
the meanings of terms were related to one another: some being full
correlatives; others partially inclusive one of another, as species of
genus; others mutually incompatible, as contraries; or alternatively
predicable, as contradictories. We now assume that propositions are
capable of definite meaning according to the meaning of their component
terms and of the relation between them; that the meaning, the fact
asserted or denied, is what we are really concerned to prove or
disprove; that a mere change in the words that constitute our terms, or
of construction, does not affect the truth of a proposition as long as
the meaning is not altered, or (rather) as long as no fresh meaning is
introduced; and that if the meaning of any proposition is true, any
other proposition that denies it is false. This postulate is plainly
necessary to consistency of statement and discourse; and consistency is
necessary, if our thought or speech is to correspond with the unity and
coherence of Nature and experience; and the Laws of Thought or
Conditions of Immediate Inference are an analysis of this postulate.
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