5. Fifthly, sensitive know.
ledge, narrower than ei-
ther.
6. Sixthly, our knowledge,
therefore, narrower than
our ideas.
7. How far our knowledge
reaches.
8. First, our knowledge of
identity and diversity, as
as far as our ideas.
9. Secondly, of co-exist-
ence, a very little way.
10. Because the connexion
between most simple
ideas is unknown.
11. Especially of secondary
qualities.
12-14. And farther, because all connexion between any secondary and primary qualities is undiscovera-
15. Of repugnancy to co-
exist, larger.
16. Of the co-existence of
powers, a very little way.
17. Of spirits yet narrower.
18. Thirdly, of other rela-
tions, it is not easy to
say how far. Morality
capable of demonstration.
19. Two things have made
moral ideas thought in-
capable of demonstration.
Their complexedness and
want of sensible represen.
tations.
20. Remedies of thofe diffi
culties.
21. Fourthly, of real exist.
ence; we have an intui-
tive knowledge of our
own, demonstrative of
God's, sensitive of some
few other things.
22. Our ignorance great.
23. First, one cause of it, want
of ideas, either such as we
have no conception of, or
CHA P. IV.
Of the reality of our knowledge. SECT.
1. Objection, knowledge
placed in ideas, may be
all bare vision.
2, 3. Answer, not so, where
ideas agree with things.
4. As, first, all simple ideas
do..
5. Secondly, all complex ide-
as, except of substances.
6. Hence the reality of ma.
thematical knowledge,
7. And of moral.
8. Existence not required to
make it real.
9. Nor will it be lefs true,
or certain, because moral
ideas are of our own mak.
ing and naming.
10. Mif-naming disturbs not
the certainty of the know-
ledge.
11. Ideas of substances have
their archetypes without
1. What truth is. 2. A right joining, or sepa rating of signs, i. e. ideas or words.
3. Which make mental, or
verbal propositions.: 4. Mental propositions are very hard to be treated of. 5. Being nothing but joining, or separating ideas, without words. 6. When mental propositions contain real truth, and when verbal. 7. Objection against verbal truth, that thus it may be all chimerical. 8. Answered, real truth is about ideas agreeing to things.
9. Falshood is the joining of
names, otherwise than their ideas agree. 10. General propositions to be treated of more at large. 11. Moral and metaphysical truth.
2. General truths hardly to be understood, but in verbal propositions. 3. Certainly two-fold, of truth, and of knowledge. 4. No proposition can be known to be true, where the essence of each species mentioned, is not known. 5. This more particularly concerns substances. 6. The truth of few universal propositions concerning substances, is to be known. 7. Because, co-existence of ideas in few cases is to be known.
8, 9. Instance in gold. 10. As far as any such co-existence can be known, so far universal propositions may be certain. But this will go but a little way, because, 11, 12. The qualities, which make our complex ideas of substances, depend mostly on external, remote, and unperceived causes. 13. Judgment may reach far. ther, but that is not knowledge.
14. What is requisite for our knowledge of substances. 15. Whilst our ideas of substances contain not their real constitutions, we can make but few general, certain propositions concerning them.
16. Wherein lies the general certainty of propositions.
1. They are self-evident. 2. Wherein that self-evi. dence consists.
3. Self-evidence not peculiar to received axioms. 4. First
4. First, as to identity and
diversity, all propositions
are equally self-evident.
5. Secondly, in co-existence,
we have few self-evident
propositions.
6. Thirdly, in ether relations
we may have.
7. Fourthly, concerning real
existence, we have none.
8. These axioms do not much
influence our other know.
ledge.
9. Because they are not the
truths the first known.
10. Because on them the other
parts of our knowledge do not depend.
11. What use these general
maxims have.
12. Maxims, if care be not
taken in the use of words,
may prove contradictions.
13. Instance in vacuum.
14. They prove not the exist.
ence of things without us.
15. Their application danger.
ous about complex ideas.
16-18. Instance in man.
19. Little use of these maxims,
in proofs, where we have
clear and distinct ideas.
20. Their use dangerous, where
our ideas are confused.
CHAP. VIII. Of trifling propositions.
SECT.
1. Some propositions bring
no increase to our know.
ledge.
2, 3. As, first, identical propo- sitions.
4. Secondly, when a any complex idea is pre- dicated of the whole. 5. As part of the definition
of the term defined. 6. Instance, man and palfry. 7. For this teaches but the signification of words.
1. Is to be had only by sen-
sation.
e. Instance, whiteness of this paper.
3. This, though not so cer.
tain as demonstration, yet
may be called knowledge,
and proves the existence
of things without us.
4. First, because we cannot
have them but by the in-
lets of the senses.
5. Secondly, because an idea
from actual sensation, and
another from memory, are
very distinct perceptions.
6. Thirdly, pleasure or pain,
which accompanies actual
sensation, accompanies not
the returning of those
ideas, without the external
objects.
7. Fourthly, our senses assist
one another's testimony of
the existence of outward
things,
8. This certainty is as great
as our condition needs. 9. But reaches no farther
than actual sensation. 10. Folly to expect demon- stration in every thing.
11. Past existence is known by memory.
12. The existence of spirits not knowable.
13. Particular propositions con- cerning existence are know- able.
14. And general propositions concerning abstract ideas.
CHAP. XII.
Of the improvement of our know. ledge.
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