GRAMMAR IN RELATION TO LOGIC.

Dr. Latham (_Outlines of Logic_, p. 21., 1847, and _English Language_, p.

510., 2nd edition) defines the conjunction to be a part of speech that

connects _propositions_, not _words_. His doctrine is so palpably and

demonstrably false, that I am somewhat at a loss to understand how a man of

his penetration can be so far deceived by a crotchet as to be blind to the

host of examples which point to the direct converse of his doctrine. Let

the learned Doctor try to resolve the sentence, _All men are either

two-legged, one-legged, or no-legged_, into three constituent propositions.

It cannot be done; _either_ and _or_ are here conjunctions which connect

words and not propositions. In the example, _John and James carry a

basket_, it is of course quite plain that the _logic_ of the matter is that

_John carries one portion of the basket, and James carries the rest_. But

to identify these two propositions with the first mentioned, is to confound

grammar with logic. The former deals with the method of expression, the

latter with the method of stating (in thought) and syllogising. To take

another example, _Charles and Thomas stole all the apples_. The fact

probably was, that Charles' pockets contained some of the apples, and

Thomas' pockets contained all the rest. But the business of grammar in the

above sentence is to regulate the _form_ of the expression, not to reason

upon the _matter_ expressed. A little thought will soon convince any person

accustomed to these subjects that _conjunctions always connect words, not

propositions_. The only work in which I leave seen Dr. Latham's fundamental

error exposed, is in Boole's _Mathematical Analysis of Logic_; the learned

author, though he seems unsettled on many matters of logic and metaphysics,

has clearly made up his mind on the point now under discussion. He says:

"The proposition, every animal is _either_ rational _or_ irrational,

cannot be resolved into, _Either_ every animal is rational, _or_ every

animal is irrational. The former belong to pure categoricals, to latter

to hypotheticals [Query _disjunctives_]. In _singular_ propositions

such conversions would seem to be allowable. This animal is _either_

rational _or_ irrational, is equivalent to, _Either_ this animal is

rational, _or_ it is irrational. This peculiarity of _singular_

propositions would almost justify our ranking them, though truly

universals, in a separate class, as Ramus and his followers did."--P.

59.

This certainly seems unanswerable.

If Dr. Latham is a reader of "N. & Q.," I should be glad if he would give

his reasons for adhering to his original doctrine in the face of such facts

as those I have instanced.

Notes and Queries, Number 213, November 26, 1853 A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc. · 第 26 / 157 题