Leibniz's New Essays Concerning the Human Understanding: A Critical ExpositionDewey, John
Philosophy
Leibniz's New Essays Concerning the Human Understanding: A Critical Exposition
Dewey, John
Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716
It is true, however, that he occasionally uses the terms as synonymous;
but this where the distinction between them has no bearing on the
argument in hand, and where the context determines in what sense
the term is used. The distinction which he actually makes, and to
which he keeps when space and time are the subject of discussion,
is that extension and duration are qualities or predicates of
objects and events, while space and time are relations, or orders of
existence. Extension and duration are, as he says, the _immensity_, the
mass, the continuation, the repetition, of some underlying subject. But
space and time are the _measure_ of the mass, the rule or law of the
continuation, the order or mode of the repetition. Thus immediately
after the passage already quoted, in which he says that extension
in body is the diffusion of materiality, just as whiteness is the
diffusion of a property of milk, he goes on to say "that extension is
to space as duration to time. Duration and extension are attributes of
things; but space and time are to be considered, as it were, outside
of things, and as serving to measure them." Still more definitely
he says: "Many confound the immensity or extent of things with the
space by means of which this extent is defined. Space is not the
extension of body, any more than duration is its time. Things keep
their extension, not always their space. Everything has its own extent
and duration; but it does not have a time of its own, nor keep for its
own a space." Or, as he expresses the latter idea elsewhere, space is
like number, in the sense that it is indifferent to spatial things,
just as number is indifferent to _res numerata_. Just as the number
five is not a quality or possession of any object, or group of objects,
but expresses an order or relation among them, so a given space is not
the property of a thing, but expresses the order of its parts to one
another. But extension, on the other hand, is a property of the given
objects. While extension, therefore, must always belong to some actual
thing, space, as a relation, is as applicable to possible things as to
actual existences; so that Leibniz sometimes says that time and space
"express possibilities." They are that which makes it possible for a
definite and coherent order of experiences to exist. They determine
existence in some of its relations, and as such are logically
prior to any given forms of existence; while extent and duration are
always qualities of some given form of existence, and hence logically
derivative. Since time and space "characterize possibilities" as well
as actualities, it follows as a matter of course "that they are of the
nature of eternal truths, which relate equally to the possible and to
the existing." Being an eternal truth, space must have its place in
that which is simply the active unity of all eternal truths,--the mind
of God. "Its truth and reality are based upon God. It is an order whose
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