words eighteen, nineteen, and thirty-seven stand for, are not so
soon got, as those which are signified by one, two, and three.

  17. Assenting as soon as proposed and understood, proves them not
innate. This evasion therefore of general assent when men come to
the use of reason, failing as it does, and leaving no difference
between those suppose innate and other truths that are afterwards
acquired and learnt, men have endeavoured to secure an universal
assent to those they call maxims, by saying, they are generally
assented to as soon as proposed, and the terms they are proposed in
understood: seeing all men, even children, as soon as they hear and
understand the terms, assent to these propositions, they think it is
sufficient to prove them innate. For since men never fail after they
have once understood the words, to acknowledge them for undoubted
truths, they would infer, that certainly these propositions were first
lodged in the understanding, which, without any teaching, the mind, at
the very first proposal immediately closes with and assents to, and
after that never doubts again.

  18. If such an assent be a mark of innate, then "that one and two
are equal to three, that sweetness is not bitterness," and a
thousand the like, must be innate. In answer to this, I demand whether
ready assent given to a proposition, upon first hearing and
understanding the terms, be a certain mark of an innate principle?
If it be not, such a general assent is in vain urged as a proof of
them: if it be said that it is a mark of innate, they must then
allow all such propositions to be innate which are generally
assented to as soon as heard, whereby they will find themselves
plentifully stored with innate principles. For upon the same ground,
viz. of assent at first hearing and understanding the terms, that
men would have those maxims pass for innate, they must also admit
several propositions about numbers to be innate; and thus, that one
and two are equal to three, that two and two are equal to four, and
a multitude of other the like propositions in numbers, that
everybody assents to at first hearing and understanding the terms,
must have a place amongst these innate axioms. Nor is this the
prerogative of numbers alone, and propositions made about several of
them; but even natural philosophy, and all the other sciences,
afford propositions which are sure to meet with assent as soon as they
are understood. That "two bodies cannot be in the same place" is a
truth that nobody any more sticks at than at these maxims, that "it is
impossible for the same thing to be and not to be," that "white is not
black," that "a square is not a circle," that "bitterness is not
sweetness." These and a million of such other propositions, as many at
least as we have distinct ideas of, every man in his wits, at first
hearing, and knowing what the names stand for, must necessarily assent
to. If these men will be true to their own rule, and have assent at
first hearing and understanding the terms to be a mark of innate, they
must allow not only as many innate propositions as men have distinct
ideas, but as many as men can make propositions wherein different
ideas are denied one of another. Since every proposition wherein one
different idea is denied of another, will as certainly find assent
at first hearing and understanding the terms as this general one,
"It is impossible for the same thing to be and not to be," or that
which is the foundation of it, and is the easier understood of the
two, "The same is not different"; by which account they will have
legions of innate propositions of this one sort, without mentioning
any other. But, since no proposition can be innate unless the ideas
about which it is be innate, this will be to suppose all our ideas
of colours, sounds, tastes, figure, &c., innate, than which there
cannot be anything more opposite to reason and experience. Universal
and ready assent upon hearing and understanding the terms is, I grant,
a mark of self-evidence; but self-evidence, depending not on innate
impressions, but on something else, (as we shall show hereafter,)
belongs to several propositions which nobody was yet so extravagant as
to pretend to be innate.

  19. Such less general propositions known before these universal
maxims. Nor let it be said, that those more particular self-evident
propositions, which are assented to at first hearing, as that "one and
two are equal to three," that "green is not red," &c., are received as
the consequences of those more universal propositions which are looked
on as innate principles; since any one, who will but take the pains to
observe what passes in the understanding, will certainly find that
these, and the like less general propositions, are certainly known,
and firmly assented to by those who are utterly ignorant of those more
general maxims; and so, being earlier in the mind than those (as
they are called) first principles, cannot owe to them the assent
wherewith they are received at first hearing.

  20. "One and one equal to Two, &c., not general nor useful,"
answered. If it be said, that these propositions, viz. "two and two
are equal to four," "red is not blue," &c., are not general maxims,
nor of any great use, I answer, that makes nothing to the argument
of universal assent upon hearing and understanding. For, if that be
the certain mark of innate, whatever proposition can be found that
receives general assent as soon as heard and understood, that must
be admitted for an innate proposition, as well as this maxim, "That it
is impossible for the same thing to be and not to be," they being upon
this ground equal. And as to the difference of being more general,
that makes this maxim more remote from being innate; those general and
abstract ideas being more strangers to our first apprehensions than
those of more particular self-evident propositions; and therefore it
is longer before they are admitted and assented to by the growing
understanding. And as to the usefulness of these magnified maxims,
that perhaps will not be found so great as is generally conceived,
when it comes in its due place to be more fully considered.

  21. These maxims not being known sometimes till proposed, proves
them not innate. But we have not yet done with "assenting to