Thus we find "Alexander was a great general," given as an example of
a Contingent Modal, on the ground that though as a matter of fact
Alexander was so he might have been otherwise. It was not _necessary_
that Alexander should be a great general: therefore the proposition
is _contingent_. Now the distinction between Necessary truth and
Contingent truth may be important philosophically: but it is merely
confusing to call the character of propositions as one or the other by
the name of Modality. The original Modality is a mode of expression:
to apply the name to this character is to shift its meaning.
A more simple and obviously unwarrantable departure from tradition
is to extend the name Modality to any grammatical qualification of
a single verb in common speech. On this understanding "Alexander
conquered Darius" is given by Hamilton as a _Pure_ proposition, and
"Alexander conquered Darius honourably" as a _Modal_. This is a merely
grammatical distinction, a distinction in the mode of composing the
predicate term in common speech. In logical tradition Modality is a
mode of qualifying the certainty of an affirmation. "The conquest
of Darius by Alexander was honourable," or "Alexander in conquering
Darius was an honourable conqueror," is the syllogistic form of the
proposition: it is simply assertory, not qualified in any "mode".
There is a similar misunderstanding in Mr. Shedden's treatment of
"generally" as constituting a Modal in such sentences, as "Rivers
_generally_ flow into the sea". He argues that as _generally_ is not
part either of the Subject term or of the Predicate term, it must
belong to the Copula, and is therefore a _modal_ qualification of the
whole assertion. He overlooked the fact that the word "generally" is
an expression of Quantity: it determines the quantity of the Subject
term.
Finally it is sometimes held (_e.g._, by Mr. Venn) that the question
of Modality belongs properly to Scientific or Inductive Logic, and is
out of place in Formal Logic. This is so far accurate that it is
for Inductive Logic to expound the conditions of various degrees of
certainty. The consideration of Modality is pertinent to Formal Logic
only in so far as concerns special perplexities in the expression of
it. The treatment of it by Logicians has been rendered intricate by
torturing the old tradition to suit different conceptions of the end
and aim of Logic.
PART II.
DEFINITION.
CHAPTER I.
IMPERFECT UNDERSTANDING OF WORDS AND THE REMEDIES
THEREFOR.--DIALECTIC.--DEFINITION.
We cannot inquire far into the meaning of proverbs or traditional
sayings without discovering that the common understanding of general
and abstract names is loose and uncertain. Common speech is a
quicksand.
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