Aristotle's logic has often been called formal logic; it was really a
technical logic of syllogism analysed into linguistic elements, and of
science rested on an empirical basis. At the same time his psychology,
though maintaining his empiricism, contained some seeds of conceptual
logic, and indirectly of formal logic. Intellectual development, which
according to the logic of the _Analytics_ consists of sense, memory,
experience, induction and intellect, according to the psychology of the
_De Anima_ consists of sense, imagination and intellect, and one
division of intellect is into conception of the undivided and
combination of conceptions as one (_De An._ iii. 6). The _De
Interpretatione_ opens with a reference to this psychological
distinction, implying that names represent conceptions, propositions
represent combinations of conceptions. But the same passage relegates
conceptions and their combinations to the _De Anima_, and confines the
_De Interpretatione_ to names and propositions in conformity with the
linguistic analysis which pervades the logical treatises of Aristotle,
who neither brought his psychological distinction between conceptions
and their combinations into his logic, nor advanced the combinations of
conceptions as a definition of judgment ([Greek: krisis]), nor employed
the mental distinction between conceptions and judgments as an analysis
of inference, or reasoning, or syllogism: he was no conceptual logician.
The history of logic shows that the linguistic distinction between terms
and propositions was the sole analysis of reasoning in the logical
treatises of Aristotle; that the mental distinction between conceptions
([Greek: ennoiai]) and judgments ([Greek: axiômata] in a wide sense) was
imported into logic by the Stoics; and that this mental distinction
became the logical analysis of reasoning under the authority of St
Thomas Aquinas. In his commentary on the _De Interpretatione_, St
Thomas, after citing from the _De Anima_ Aristotle's "duplex operatio
intellectus," said, "Additur autem et tertia operatio, scilicet
ratiocinandi," and concluded that, since logic is a rational science
(_rationalis scientia_), its consideration must be directed to all these
operations of reason. Hence arose conceptual logic; according to which
conception is a simple apprehension of an idea without belief in being
or not being, e.g. the idea of man or of running; judgment is a
combination of conceptions, adding being or not being, e.g. man is
running or not running; and reasoning is a combination of judgments:
conversely, there is a mental analysis of reasoning into judgments, and
judgment into conceptions, beneath the linguistic analysis of rational
discourse into propositions, and propositions into terms. Logic,
according to this new school, which has by our time become an old
school, has to co-ordinate these three operations, direct them, and,
beginning with conceptions, combine conceptions into judgments, and
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