of it, can afford us such propositions. But these are so
few, and of so little moment, that we may justly look on our certain
general knowledge of substances as almost none at all.
16. Wherein lies the general Certainty of Propositions.
To conclude: general propositions, of what kind soever, are then only
capable of certainty, when the terms used in them stand for such ideas,
whose agreement or disagreement, as there expressed, is capable to be
discovered by us. And we are then certain of their truth or falsehood,
when we perceive the ideas the terms stand for to agree or not agree,
according as they are affirmed or denied one of another. Whence we may
take notice, that general certainty is never to be found but in
our ideas. Whenever we go to seek it elsewhere, in experiment or
observations without us, our knowledge goes not beyond particulars. It
is the contemplation of our own abstract ideas that alone is able to
afford us general knowledge.
CHAPTER VII. OF MAXIMS
1. Maxims or Axioms are Self-evident Propositions.
THERE are a sort of propositions, which, under the name of MAXIMS and
AXIOMS, have passed for principles of science: and because they are
SELF-EVIDENT, have been supposed innate, without that anybody (that
I know) ever went about to show the reason and foundation of their
clearness or cogency. It may, however, be worth while to inquire into
the reason of their evidence, and see whether it be peculiar to them
alone; and also to examine how far they influence and govern our other
knowledge.
2. Where in that Self-evidence consists.
Knowledge, as has been shown, consists in the perception of the
agreement or disagreement of ideas. Now, where that agreement
or disagreement is perceived immediately by itself, without the
intervention or help of any other, there our knowledge is self-evident.
This will appear to be so to any who will but consider any of those
propositions which, without any proof, he assents to at first sight: for
in all of them he will find that the reason of his assent is from that
agreement or disagreement which the mind, by an immediate comparing
them, finds in those ideas answering the affirmation or negation in the
proposition.
3. Self evidence not peculiar to received Axioms.
This being so, in the next place, let us consider whether this
self-evidence be peculiar only to those propositions which commonly pass
under the name of maxims, and have the dignity
|