actual processes of thought expressed in common speech. To argue
that when I say "All crows are black," I do not form a class of
black things, and contemplate crows within it as one circle is within
another, is to contradict no intelligent logical doctrine.
The root of the confusion lies in quoting sentences from common speech
as examples of the logical forms, forgetting that those forms are
purely artificial. "Omnis homo est mortalis," "All men are mortal," is
not an example formally of All S is P. P is a symbol for a substantive
word or combination of words, and mortal is an adjective. Strictly
speaking, there is no formal equivalent in common speech, that is,
in the forms of ordinary use--no strict grammatical formal
equivalent--for the syllogistic propositional symbols. We can make
an equivalent, but it is not a form that men would use in ordinary
intercourse. "All man is in mortal being" would be a strict
equivalent, but it is not English grammar.
Instead of disputing confusedly whether All S is P should be
interpreted in extension or in comprehension, it would be better to
recognise the original and traditional use of the symbols S and P
as class names, and employ other symbols for the expression in
comprehension or connotation. Thus, let _s_ and _p_ stand for the
connotation. Then the equivalent for All S is P would be All S has
_p_, or _p_ always accompanies _s_, or _p_ belongs to all S.
It may be said that if predication is treated in this way, Logic is
simplified to the extent of childishness. And indeed, the manipulation
of the bare forms with the help of diagrams and mnemonics is a very
humble exercise. The real discipline of Syllogistic Logic lies in the
reduction of common speech to these forms.
This exercise is valuable because it promotes clear ideas about the
use of general names in predication, their ground in thought and
reality, and the liabilities to error that lurk in this fundamental
instrument of speech.
[Footnote 1: For perfect symmetry, the form of E should be
All S is not P. "No S is P" is adopted for E to avoid conflict
with a form of common speech, in which All S is not P conveys
the meaning of the Particular Negative. "All advices are not
safe" does not mean that safeness is denied of all advices,
but that safeness cannot be affirmed of all, _i.e._, Not all
advices are safe, _i.e._, some are not.]
[Footnote 2: His most precise form, I should sa
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