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its constituent words. Propositions occur in pairs, distinguished
(in simple cases) by the absence or presence of the word “not.”
Two such propositions have the same objective, but opposite
meanings: when one is true, the other is false, and when one is
false, the other is true.
The purely formal definition of truth and falsehood offers little
difficulty. What is required is a formal expression of the fact
that a proposition is true when it points towards its objective,
and false when it points away from it, In very simple cases we
can give a very simple account of this: we can say that true
propositions actually resemble their objectives in a way in which
false propositions do not. But for this purpose it is necessary
to revert to image-propositions instead of word-propositions. Let
us take again the illustration of a memory-image of a familiar
room, and let us suppose that in the image the window is to the
left of the door. If in fact the window is to the left of the
door, there is a correspondence between the image and the
objective; there is the same relation between the window and the
door as between the images of them. The image-memory consists of
the image of the window to the left of the image of the door.
When this is true, the very same relation relates the terms of
the objective (namely the window and the door) as relates the
images which mean them. In this case the correspondence which
constitutes truth is very simple.
In the case we have just been considering the objective consists
of two parts with a certain relation (that of left-to-right), and
the proposition consists of images of these parts with the very
same relation. The same proposition, if it were false, would have
a less simple formal relation to its objective. If the
image-proposition consists of an image of the window to the left
of an image of the door, while in fact the window is not to the
left of the door, the proposition does not result from the
objective by the mere substitution of images for their
prototypes. Thus in this unusually simple case we can say that a
true proposition “corresponds” to its objective in a formal sense
in which a false proposition does not. Perhaps it may be possible
to modify this notion of formal correspondence in such a way as
to be more widely applicable, but if so, the modifications
required will be by no means slight. The reasons for this must
now be considered.
To begin with, the simple type of correspondence we have been
exhibiting can hardly occur when words are substituted for
images, because, in word-propositions, relations are usually
expressed by words, which are not themselves relations. Take such
a proposition as “Socrates precedes Plato.” Here the word
“precedes” is just as solid as the words “Socrates” and “Plato”;
it MEANS a relation, but is not a relation. Thus the objective
which makes our proposition true consists of TWO terms with a
relation between them, whereas our proposition consists of THREE
terms with a relation of order between them. Of course, it would
be perfectly possible, theoretically, to indicate a few chosen
relations, not by words, but by relations between the other
words. “Socrates-Plato” might be used to mean “Socrates precedes
Plato”; “PlaSocrates-to” might be used to mean “Plato was born
before Socrates and died after him”; and so on. But the
possibilities of such a method would be very limited. For aught I
know, there may be languages that use it, but they are not among
the languages with which I am acquainted. And in any case, in
view of the multiplicity of relations that we wish to express, no
language could advance far without words for relations. But as
soon as we have words for relations, word-propositions have
necessarily more terms than the facts to which they refer, and
cannot therefore correspond so simply with their objectives as
some image-propositions can.
The consideration of negative propositions and negative facts
introduces further complications. An image-proposition is
necessarily positive: we can image the window to the left of the
door, or to the right of the door, but we can form no image of
the bare negative “the window not to the left of the door.” We
can DISBELIEVE the image-proposition expressed by “the window to
the left of the door,” and our disbelief will be true if the
window is not to the left of the door. But we can form no image
of the fact that the window is not to the left of the door.
Attempts have often been made to deny such negative facts, but,
for reasons which I have given elsewhere,* I believe these
attempts to be mistaken, and I shall assume that there are
negative facts.
* “Monist,” January, 1919, p. 42 ff.
Word-propositions, like image-propositions, are always positive
facts. The fact that Socrates precedes Plato is symbolized in
English by the fact that the word “precedes” occurs between the
words “Socrates” and “Plato.” But we cannot symbolize the fact
that Plato does not precede Socrates by not putting the word
“precedes” between “Plato” and “Socrates.” A negative fact is not
sensible, and language, being intended for communication, has to
be sensible. Therefore we symbolize the fact that Plato does not
precede Socrates by putting the words “does not precede” between
“Plato” and “Socrates.” We thus obtain a series of words which is
just as positive a fact as the series “Socrates precedes Plato.”
The propositions asserting negative facts are themselves positive
facts; they are merely different positive facts from those
asserting positive facts.
We have thus, as regards the opposition of positive and negative,
three different sorts of duality, according as we are dealing
with facts, image-propositions, or word-propositions. We have,
namely:
(1) Positive and negative facts;
(2) Image-propositions, which may be believed or disbelieved, but
do not allow any duality of content corresponding to positive and
negative facts;
(3) Word-propositions, which are always positive facts, but are
of two kinds: one verified by a positive objective, the other by
a negative objective.
Owing to these complications, the simplest type of correspondence
is impossible when either negative facts or negative propositions
are involved.
Even when we confine ourselves to relations between two terms
which are both imaged, it may be impossible to form an
image-proposition in which the relation of the terms is
represented by the same relation of the images. Suppose we say
“Caesar was 2,000 years before Foch,” we express a certain
temporal relation between Caesar and Foch; but we cannot allow
2,000 years to elapse between our image of Caesar and our image
of Foch. This is perhaps not a fair example, since “2,000 years
before” is not a direct relation. But take a case where the
relation is direct, say, “the sun is brighter than the moon.” We
can form visual images of sunshine and moonshine, and it may
happen that our image of the sunshine is the brighter of the two,
but this is by no means either necessary or sufficient. The act
of comparison, implied in our judgment, is something more than
the mere coexistence of two images, one of which is in fact
brighter than the other. It would take us too far from our main
topic if we were to go into the question what actually occurs
when we make this judgment. Enough has been said to show that the
correspondence between the belief and its objective is more
complicated in this case than in that of the window to the left
of the door, and this was all that had to be proved.
In spite of these complications, the general nature of the formal
correspondence which makes truth is clear from our instances. In
the case of the simpler kind of propositions, namely those that I
call “atomic” propositions, where there is only one word
expressing a relation, the objective which would verify our
proposition, assuming that the word “not” is absent, is obtained
by replacing each word by what it means, the word meaning a
relation being replaced by this relation among the meanings of
the other words. For example, if the proposition is “Socrates
precedes Plato,” the objective which verifies it results from
replacing the word “Socrates” by Socrates, the word “Plato” by
Plato, and the word “precedes” by the relation of preceding
between Socrates and Plato. If the result of this process is a
fact, the proposition is true; if not, it is false. When our
proposition is “Socrates does not precede Plato,” the conditions
of truth and falsehood are exactly reversed. More complicated
propositions can be dealt with on the same lines. In fact, the
purely formal question, which has occupied us in this last
section, offers no very formidable difficulties.
I do not believe that the above formal theory is untrue, but I do
believe that it is inadequate. It does not, for example, throw
any light upon our preference for true beliefs rather than false
ones. This preference is only explicable by taking account of the
causal efficacy of beliefs, and of the greater appropriateness of
the responses resulting from true beliefs. But appropriateness
depends upon purpose, and purpose thus becomes a vital part of
theory of knowledge.
LECTURE XIV. EMOTIONS AND WILL
On the two subjects of the present lecture I have nothing
original to say, and I am treating them only in order to complete
the discussion of my main thesis, namely that all psychic
phenomena are built up out of sensations and images alone.
Emotions are traditionally regarded by psychologists as a
separate class of mental occurrences: I am, of course, not
concerned to deny the obvious fact that they have characteristics
which make a special investigation of them necessary. What I am
concerned with is the analysis of emotions. It is clear that an
emotion is essentially complex, and we have to inquire whether it
ever contains any non-physiological material not reducible to
sensations and images and their relations.
Although what specially concerns us is the analysis of emotions,
we shall find that the more important topic is the physiological
causation of emotions. This is a subject upon which much valuable
and exceedingly interesting work has been done, whereas the bare
analysis of emotions has proved somewhat barren. In view of the
fact that we have defined perceptions, sensations, and images by
their physiological causation, it is evident that our problem of
the analysis of the emotions is bound up with the problem of
their physiological causation.
Modern views on the causation of emotions begin with what is
called the James-Lange theory. James states this view in the
following terms (“Psychology,” vol. ii, p. 449):
“Our natural way of thinking about these coarser emotions, grief,
fear, rage, love, is that the mental perception of some fact
excites the mental affection called the emotion, and that this
latter state of mind gives rise to the bodily expression. My
theory, on the contrary, is that THE BODILY CHANGES FOLLOW
DIRECTLY THE PERCEPTION OF THE EXCITING FACT, AND THAT OUR
FEELING OF THE SAME CHANGES AS THEY OCCUR IS THE EMOTION
(James’s italics). Common sense says: we lose our fortune, are
sorry and weep; we meet a bear, are frightened and run; we are
insulted by a rival, are angry and strike. The hypothesis here to
be defended says that this order of sequence is incorrect, that
the one mental state is not immediately induced by the other,
that the bodily manifestations must first be interposed between,
and that the more rational statement is that we feel sorry
because we cry, angry because we strike, afraid because we
tremble, and not that we cry, strike, or tremble, because we are
sorry, angry, or fearful, as the
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