What conditions, then, must observations satisfy, if they are to
justify a generalisation? Let us suppose that the generalisation to
be justified is one which asserts that the existence of a kind of
object, which we will call A, is generally preceded, accompanied, or
followed by the existence of a kind of object, which we call B. A, for
instance, might be the hearing of a certain word by one person, and B
the thought of that which we call the meaning of the word, in another
person; and the generalisation to be justified might be that when one
person hears a word, not spoken by himself, someone else has generally
thought of the meaning of that word. What must I have observed, if the
generalisation that the existence of A is generally preceded by the
existence of B, is to be justified by my observations? One first point,
I think, is plain. I must have observed both some object, which is in
some respects like A, and which I will call _α_, and also some object
in some respects like B which I will call _β_: I must have observed
both _α_ and _β_, and also I must have observed _β_ preceding _α._
This, at least, I must have observed. But I do not pretend to say _how_
like _α_ and _β_ must be to A and B; nor do I pretend to say how often
I must have observed _β_ preceding _α_, although it is generally held
that I must have observed this more than once. These are questions,
which would have to be discussed if we were trying to discover what
observations were _sufficient_ to justify the generalisation that the
existence of A is generally preceded by that of B. But I am only
trying to lay down the minimum which is _necessary_ to justify this
generalisation; and therefore I am content to say that we must have
observed something more or less like B preceding something more or less
like A, at least once.
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