Well, we suppose that we _know_ things (in the strict and proper sense
of the word) when we suppose ourselves to know the cause by reason of
which the thing is to be the cause of it; and that this cannot be
otherwise. It is plain that the idea intended to be conveyed by the
term _knowing_ is something of this kind; because they who do not
really know suppose themselves thus related to the matter in hand and
they who do know really are so that of whatsoever there is properly
speaking Knowledge this cannot be otherwise than it is Whether or no
there is another way of knowing we will say afterwards, but we do say
that we know through demonstration, by which I mean a syllogism apt to
produce Knowledge, i.e. in right of which through having it, we know.
If Knowledge then is such as we have described it, the Knowledge
produced by demonstrative reasoning must be drawn from premisses _true_
and _first_, and _incapable of syllogistic proof_, and _better known_,
and _prior in order of time_, and _causes of the conclusion_, for so
the principles will be akin to the conclusion demonstrated.
(Syllogism, of course there may be without such premisses, but it will
not be demonstration because it will not produce knowledge).
_True_, they must be, because it is impossible to know that which is
not.
_First_, that is indemonstrable, because, if demonstrable, he cannot be
said to _know_ them who has no demonstration of them for knowing such
things as are demonstrable is the same as having demonstration of them.
_Causes_ they must be, and _better known_, and _prior_ in time,
_causes_, because we then know when we are acquainted with the cause,
and _prior_, if causes, and _known beforehand_, not merely comprehended
in idea but known to exist (The terms prior, and better known, bear two
senses for _prior by nature_ and _prior relatively to ourselves_ are
not the same, nor _better known by nature_, and _better known to us_ I
mean, by _prior_ and _better known relatively to ourselves_, such
things as are nearer to sensation, but abstractedly so such as are
further Those are furthest which are most universal those nearest which
are particulars, and these are mutually opposed.)
And by _first_, I mean _principles akin to the conclusion_, for
principle means the same as first And the principle or first step in
demonstration is a proposition incapable of syllogistic proof, _i.e._
one to which there is none prior. Now of such syllogistic principles I
call that a θέσις which you cannot demonstrate, and which is
unnecessary with a view to learning something else. That which is
necessary in order to learn something else is an Axiom.