(3.) Upon reviewing those properties of bodies which the senses
most frequently present to us, we observe that very few of them are
essential to, and inseparable from, matter. The greater number may be
called _particular_ or _peculiar qualities_, being found in some bodies
but not in others. Thus the property of attracting iron is peculiar to
the loadstone, and not observable in other substances. One body excites
the sensation of green, another of red, and a third is deprived of all
colour. A few characteristic and essential qualities are, however,
inseparable from matter in whatever state, or under whatever form it
exist. Such properties alone can be considered as tests of materiality.
Where their presence is neither manifest to sense, nor demonstrable by
reason, _there_ matter is not. The principal of these qualities are
_magnitude_ and _impenetrability_.
(4.) _Magnitude._--Every body occupies space, that is, it has
magnitude. This is a property observable by the senses in all bodies
which are not so minute as to elude them, and which the understanding
can trace to the smallest particle of matter. It is impossible, by any
stretch of imagination, even to conceive a portion of matter so minute
as to have no magnitude.
The _quantity_ of space which a body occupies is sometimes called its
_magnitude_. In colloquial phraseology, the word _size_ is used to
express this notion; but the most correct term, and that which we shall
generally adopt is _volume_. Thus we say, the volume of the earth is so
many cubic miles, the volume of this room is so many cubic feet.
The external limits of the magnitude of a body are _lines_ and
_surfaces_, lines being the limits which separate the several surfaces
of the same body. The linear limits of a body are also called _edges_.
Thus the line which separates the top of a chest from one of its sides
is called an edge.
The _quantity_ of a surface is called its _area_, and the _quantity_
of a line is called its _length_. Thus we say, the _area_ of a field
is so many acres, the _length_ of a rope is so many yards. The word
“magnitude” is, however, often used indifferently for volume, area,
and length. If the objects of investigation were of a more complex
and subtle character, as in metaphysics, this unsteady application of
terms might be productive of confusion, and even of error; but in this
science the meaning of the term is evident, from the way in which it is
applied, and no inconvenience is found to arise.
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