This Rule entirely authorises us to assert (in the sense in which "The
Logicians" would use the words) "Some boys in the First Class will
receive prizes", for this simply means (according to them) "If there
_were_ any boys in the First Class, some of them _would_ receive
prizes."
Now the Converse of this Proposition is, of course, "Some boys, who will
receive prizes, are in the First Class", which means (according to "The
Logicians") "If there _were_ any boys about to receive prizes, some of
them _would_ be in the First Class" (which Class we know to be _empty_).
Of this Pair of Converse Propositions, the first is undoubtedly _true_:
the second, _as_ undoubtedly, _false_.
It is always sad to see a batsman knock down his own wicket: one pities
him, as a man and a brother, but, as a _cricketer_, one can but
pronounce him "Out!"
We see, then, that, among all the conceivable views we have here
considered, there are only _two_ which can _logically_ be held, viz.
_I_ and _A_ "assert", but _E_ does not.
_E_ and _A_ "assert", but _I_ does not.
The _second_ of these I have shown to involve great practical
inconvenience.
The _first_ is the one adopted in this book. (See p. 19.)
Some further remarks on this subject will be found in Note (B), at p.
196.
§ 3.
_The use of "is-not" (or "are-not") as a Copula._
Is it better to say "John _is-not_ in-the-house" or "John _is_
not-in-the-house"? "Some of my acquaintances _are-not_
men-I-should-like-to-be-seen-with" or "Some of my acquaintances _are_
men-I-should-_not_-like-to-be-seen-with"? That is the sort of question
we have now to discuss.
pg172
This is no question of Logical Right and Wrong: it is merely a matter of
_taste_, since the two forms mean exactly the same thing. And here,
again, "The Logicians" seem to me to take much too humble a position.
When they are putting the final touches to the grouping of their
Proposition, just before the curtain goes up, and when the
Copula----always a rather fussy 'heavy father', asks them "Am _I_ to
have the 'not', or will you tack it on to the Predicate?" they are much
too ready to answer, like the subtle cab-driver, "Leave it to _you_,
Sir!" The result seems to be, that the grasping Copula constantly gets a
"not" that had better have been merged in the Predicate, and that
Propositions are differentiated which had better have been recognised as
precisely similar. Surely it is simpler to treat "Some men are Jews" and
"Some men are Gentiles" as being both of them, _affirmative_
Propositions, instead of translating the latter into "Some men are-not
Jews", and regarding it as a _negative_ Propositions?
Public-domain text, read in full here on John Shaqi.
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