Book,  Chapter

 1    Int         |          or intemperately require demonstration, and demand certainty, where
 2      I,  I     |         principles, seems to me a demonstration that there are none such:
 3      I,  I     |           magnified principles of demonstration, “Whatsoever is, is,” and “
 4      I,  I     |          force of any argument or demonstration, but a bare explication
 5      I,  I     |        may seem to the masters of demonstration. And probably it will hardly
 6      I,  II    |        moral rules are capable of demonstration: and therefore it is our
 7      I,  III   |      trust, without examining the demonstration; and may yield his assent
 8     II,  I     |            when they give all the demonstration of it imaginable, except
 9     II,  IX    |            see all the parts of a demonstration, which may very well be
10     II,  XIV   |        man, it is as clear as any demonstration can be, that it must strike
11     II,  XXXIII|       This gives sense to jargon, demonstration to absurdities, and consistency
12    III,  XI    |           16. Morality capable of demonstration. Upon this ground it is
13    III,  XI    |       that morality is capable of demonstration, as well as mathematics:
14     IV,  I     |        the utmost security of the demonstration, that the three angles of
15     IV,  I     |        that he once perceived the demonstration, that the three angles of
16     IV,  I     |   adherence to a truth, where the demonstration by which it was at first
17     IV,  I     |         and clearly perceived the demonstration of this truth knows it to
18     IV,  I     |          it to be true, when that demonstration is gone out of his mind;
19     IV,  I     |  mathematics; for no mathematical demonstration would be any other than
20     IV,  I     |        further, he must renew his demonstration in another instance, before
21     IV,  II    |    equality to two right ones.~3. Demonstration depends on clearly perceived
22     IV,  II    |           perceived, it is called demonstration; it being shown to the understanding,
23     IV,  II    |         knowledge. For, though in demonstration the mind does at last perceive
24     IV,  II    |           doubt, precedent to the demonstration. Another difference between
25     IV,  II    |         perceived, yet before the demonstration there was a doubt; which
26     IV,  II    |        the perception produced by demonstration is also very clear; yet
27     IV,  II    |           that to make anything a demonstration, it is necessary to perceive
28     IV,  II    |       step and progression of the demonstration, must also be carried exactly
29     IV,  II    |      knowledge and reasonings.~9. Demonstration not limited to ideas of
30     IV,  II    |          evidence in things, that demonstration has been thought to have
31     IV,  II    |      there the mind is capable of demonstration: which is not limited to
32     IV,  II    |          things not discovered by demonstration. Not knowing, therefore,
33     IV,  II    |        and red, are as capable of demonstration as ideas of number and extension.
34     IV,  II    |           two, viz. intuition and demonstration, are the degrees of our
35     IV,  III   |         measure them by, which is demonstration, or rational knowledge.~
36     IV,  III   |       come short of knowledge and demonstration.~5. Sensitive knowledge
37     IV,  III   |       that we can by intuition or demonstration discover the co-existence
38     IV,  III   |         alone that are capable of demonstration and knowledge; and that
39     IV,  III   |   endeavours.~Morality capable of demonstration. The idea of a supreme Being,
40     IV,  III   |           the sciences capable of demonstration: wherein I doubt not but
41     IV,  III   |     should not also be capable of demonstration, if due methods were thought
42     IV,  III   |     proposition as certain as any demonstration in Euclid: for the idea
43     IV,  III   |           be thought incapable of demonstration: their unfitness for sensible
44     IV,  III   |          capable of certainty and demonstration, is,~First, That they can
45     IV,  III   |  considered and examined, and the demonstration be revised, and all the
46     IV,  III   |           first he thought of his demonstration. This often happens, and
47     IV,  III   |     several ideas about which the demonstration is made, whereby a man may
48     IV,  III   |         be thought not capable of demonstration, may in a good measure be
49     IV,  III   |        and to come nearer perfect demonstration than is commonly imagined.
50     IV,  III   |    concerning them. Certainty and demonstration are things we must not,
51     IV,  IV    |    disagreement of our ideas, and demonstration nothing but the perception
52     IV,  IV    |           be a disturbance in the demonstration, or a change in the properties
53     IV,  IV    |           is a monster; and it is demonstration with you that it hath no
54     IV,  VII   |        truth, and uncertainty for demonstration: upon which follow error,
55     IV,  VII   |         shall see, that so far as demonstration is by these principles,
56     IV,  VII   |        the same, will need also a demonstration to convince him that It
57     IV,  VIII  |           to be the foundation of demonstration, may be and often is made
58     IV,  IX    |           the existence of God by demonstration; and of other things by
59     IV,  X     |       themselves capable of clear demonstration. To show, therefore, that
60     IV,  X     |     impossible he should know any demonstration in Euclid. If, therefore,
61     IV,  X     |           being, it is an evident demonstration, that from eternity there
62     IV,  X     |     attend to it, as to any other demonstration of so many parts: yet this
63     IV,  X     |          though it be as clear as demonstration can make it, that there
64     IV,  X     |         being no way to avoid the demonstration, that there is an eternal
65     IV,  X     |      minds, or the discourse, the demonstration whereby an eternal knowing
66     IV,  XI    |          though not so certain as demonstration, yet may be called knowledge,
67     IV,  XI    |           And though mathematical demonstration depends not upon sense,
68     IV,  XI    |  certainty approaching to that of demonstration itself. For, it would be
69     IV,  XI    |    knowledge.~10. Folly to expect demonstration in everything. Whereby yet
70     IV,  XI    |            I say, it is to expect demonstration and certainty in things
71     IV,  XI    |          nothing but direct plain demonstration, would be sure of nothing
72     IV,  XII   |      proceed to the discovery and demonstration of truths that appear at
73     IV,  XII   |       that morality is capable of demonstration as well as mathematics.
74     IV,  XII   |          he will in vain seek any demonstration about them. Further, it
75     IV,  XII   |           not, I presume, to this demonstration: and a man may, I think,
76     IV,  XIV   |          will not eat till he has demonstration that it will nourish him;
77     IV,  XIV   |            without making out the demonstration, determine of the agreement
78     IV,  XV    |          upon fallible proofs. As demonstration is the showing the agreement
79     IV,  XV    |     contrary. For example: in the demonstration of it a man perceives the
80     IV,  XV    |          the pains to observe the demonstration, hearing a mathematician,
81     IV,  XV    |    neighbourhood of certainty and demonstration, quite down to improbability
82     IV,  XVI   |       doubt as if it were perfect demonstration. Thus, if all Englishmen,
83     IV,  XVI   |        fully, as the most evident demonstration; and in what concerns us
84     IV,  XVI   |       believe or disbelieve, as a demonstration does, whether we will know,
85     IV,  XVII  |           of any two ideas, as in demonstration, in which it arrives at
86     IV,  XVII  |      another, in each step of any demonstration that produces knowledge;
87     IV,  XVII  |      observed in any mathematical demonstration; it being one thing to perceive
88     IV,  XVII  |    connexion of each part, as the demonstration is made by another; another
89     IV,  XVII  |            a third, to make out a demonstration clearly and neatly one’s
90     IV,  XVII  |         Syllogism helps little in demonstration, less in probability. But
91     IV,  XVII  |    discerned: there it amounts to demonstration whereby knowledge is produced,
92     IV,  XVII  |         all perfectly at once. In demonstration, it is true, there is intuition
93     IV,  XVII  |          necessary to make up the demonstration is omitted or overlooked.
94     IV,  XVII  |         first and the fourth is a demonstration, and produces certain knowledge;
95     IV,  XVII  |     follows it, as knowledge does demonstration. The great excellency and
96     IV,  XIX   | self-evidence, or by the force of demonstration, the arguments that gain
97     IV,  XIX   |         and pure; carries its own demonstration with it: and we may as naturally
98     IV,  XIX   |      certainty in themselves, and demonstration to others.~10. The supposed