Before pursuing this subject, however, it will be well to dispose of
the other kind of causal process which we mentioned just now, namely
the transmission of a process by matter. This is itself of two sorts,
one illustrated by sound, the other by the conduction of an electric
current. In the case of sound we have a radiation; in the other case
we have a more or less linear process. In each case, however, actual
pieces of matter move, and cause others to move. The former belongs to
the notion of a "causal line," to which we shall return in a moment.
The latter belongs to the causal laws as to the interactions of
different pieces of matter, which I do not wish to consider until I
have elicited the intrinsic causal laws which constitute the definition
of one piece of matter. These, as we saw, have been somewhat obscured
by the notion of substance, which made it plausible to take for granted
certain connections[Pg 319] between events at different times, which, for us,
are causal, and demand explicit recognition. It is these intrinsic
laws which replace substance that I wish to consider now, leaving the
interactions between different pieces of matter for a later stage.
What, then, constitutes a "causal line"? In other words, what
constitutes one electron? Before asking ourselves what makes us call an
electron at one time the same as an electron at another time, it may be
well to ask ourselves: What constitutes an electron at one time?
We must find some reality for the electron, or else the physical world
will run through our fingers like a jelly-fish. There is the same
sort of reason, however, for not regarding an electron as an ultimate
particular as there was for refusing this status to a space-time point.
The electron has very convenient properties, and is therefore probably
a logical structure upon which we concentrate attention just because
of these properties. A rather haphazard set of particulars may be
capable of being collected into groups each of which has very agreeable
smooth mathematical properties; but we have no right to suppose Nature
so kind to the mathematician as to have created particulars with just
such properties as he would wish to find. We have, therefore, to ask
ourselves: Can we construct an electron out of events, in the same
sort of way in which we constructed space-time points? To this inquiry
we must now address ourselves, confining ourselves, at first, to the
electron at one time.
When I speak of "electrons" in this discussion, I shall include
"protons," since everything that is to be said about the one is to be
said about the other also.
Public-domain text, read in full here on John Shaqi.
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