Among them it is on the whole impossible not to include the names of
Hamilton and Mansel. The former, while his erudition in respect to the
history of philosophical opinion has rarely been equalled, was not a
clear thinker. His general theory of knowledge deriving from Kant and
Reid, and including among other things a _contaminatio_ of their
theories of perception,[134] in no way sustains or mitigates his narrow
view of logic. He makes no effective use of his general formula that to
think is to condition. He appeals to the direct testimony of
consciousness in the sense in which the appeal involves a fallacy. He
accepts an ultimate antinomy as to the finiteness or infinity of "the
unconditioned," yet applies the law of the excluded middle to insist
that one of the two alternatives must be true, wherefore we must make
the choice. And what is to be said of the judgment of a writer who
considers the relativity of thought demonstrated by the fact that every
judgment unites two members? Hamilton's significance for the history of
logic lies in the stimulus that he gave to the development of symbolic
logic in England by his new analytic based upon his discovery or
adoption of the principle of the quantification of the predicate.
Mansel, too, was learned, specially in matters of Aristotelian exegesis,
and much that is of value lies buried in his commentation of the dry
bones of the _Artis Logicae Rudimenta_ of Locke's contemporary Aldrich.
And he was a clearer thinker than Hamilton. Formal logic of the
extremest rigour is nowhere to be found more adequately expressed in all
its strength, and it must be added in all its weakness, than in the
writings of Mansel. But if the view maintained above that formal logic
must compromise or mitigate its rigour and so fail to maintain its
independence, be correct, the logical consistency of Mansel's logic of
consistency does but emphasize its barrenness. It contains no germ for
further development. It is the end of a movement.
Herbart.
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