Book,  Chapter

 1      I,  III  |      notion of God, where unity, infinity, and eternity were excluded.
 2      I,  III  |     conceptions of the unity and infinity of the Deity, I grant it.
 3     II,  XII  |         have of space, time, and infinity, and some few others that
 4     II,  XIV  | appearance never co-existed.~30. Infinity in duration. For, as in
 5     II,  XIV  |       have of eternity; of whose infinity we have no other notion
 6     II,  XIV  |       notion than we have of the infinity of number, to which we can
 7     II,  XV   |        and sticks not to ascribe infinity to duration; but it is with
 8     II,  XV   |        many admit or suppose the infinity of space. The reason whereof
 9     II,  XV   |         extent of body, into the infinity of space or expansion; the
10     II,  XVI  |        duration; and our idea of infinity, even when applied to those,
11     II,  XVI  |      seems to be nothing but the infinity of number. For what else
12     II,  XVI  |          and expansion, with the infinity of number; in which we can
13     II,  XVI  |        and most distinct idea of infinity: of which more in the following
14     II,  XVII |                  Chapter XVII~Of Infinity ~1. Infinity, in its original
15     II,  XVII |     Chapter XVII~Of Infinity ~1. Infinity, in its original intention,
16     II,  XVII |        which we give the name of infinity, cannot do it better than
17     II,  XVII |      than by considering to what infinity is by the mind more immediately
18     II,  XVII |       have no other idea of this infinity but what carries with it
19     II,  XVII |          as we can, with all the infinity of endless number. I do
20     II,  XVII |         these our ideas of their infinity.~2. The idea of finite easily
21     II,  XVII |       How we come by the idea of infinity. Every one that has any
22     II,  XVII |    considerations of our idea of infinity.~6. Why other ideas are
23     II,  XVII |         ideas are not capable of infinity. If it be so, that our idea
24     II,  XVII |          be so, that our idea of infinity be got from the power we
25     II,  XVII |          Why we do not attribute infinity to other ideas, as well
26     II,  XVII |          repetition, the idea of infinity; because, with this endless
27     II,  XVII |     minds towards the thought of infinity.~7. Difference between infinity
28     II,  XVII |  infinity.~7. Difference between infinity of space, and space infinite.
29     II,  XVII |     infinite. Though our idea of infinity arise from the contemplation
30     II,  XVII |       our thoughts, when we join infinity to any supposed idea of
31     II,  XVII |    duration. For, as our idea of infinity being, as I think, an endless
32     II,  XVII |     greater than it is,)—to join infinity to it, is to adjust a standing
33     II,  XVII |          between the idea of the infinity of space, and the idea of
34     II,  XVII |      consider it in numbers. The infinity of numbers, to the end of
35     II,  XVII |          soever this idea of the infinity of number be, there is nothing
36     II,  XVII |        there we have our idea of infinity: which, though it seems
37     II,  XVII |          contrary to the idea of infinity, which consists in a supposed
38     II,  XVII |     bounds; and that the idea of infinity, in which our thoughts can
39     II,  XVII |          us the clearest idea of infinity. But of all other ideas,
40     II,  XVII |        and most distinct idea of infinity we are capable of. For,
41     II,  XVII |         mind pursues the idea of infinity, it there makes use of the
42     II,  XVII |      clearest idea it can get of infinity, is the confused incomprehensible
43     II,  XVII |     different conceptions of the infinity of number contrasted with
44     II,  XVII |         into the idea we have of infinity, and discover to us, that
45     II,  XVII |       that it is nothing but the infinity of number applied to determinate
46     II,  XVII |        else but the turning this infinity of number both ways, a parte
47     II,  XVII |       such addition with all the infinity of number: and when we would
48     II,  XVII |          11. How we conceive the infinity of space. The same happens
49     II,  XVII |          or orbis magnus,—by the infinity of number, we add others
50     II,  XVII |   therefore there is an apparent infinity to us also in that, which
51     II,  XVII |      also in that, which has the infinity also of number; but with
52     II,  XVII |     former considerations of the infinity of space and duration, we
53     II,  XVII |   infinitely little;—our idea of infinity being, as I may say, a growing
54     II,  XVII |          13. No positive idea of infinity. Though it be hard, I think,
55     II,  XVII |      actual infinite number;—the infinity whereof lies only in a power
56     II,  XVII |       the like also being in the infinity of space and duration, which
57     II,  XVII |      parts, it can have no other infinity than that of number capable
58     II,  XVII |          have a positive idea of infinity in quantity. They who would
59     II,  XVII |    complete and positive idea of infinity. In which case, let this
60     II,  XVII |        our positive idea towards infinity, lies in obscurity, and
61     II,  XVII |          too scanty for positive infinity.~17. No complete idea of
62     II,  XVII |      gives me a positive idea of infinity; which, whenever I endeavour
63     II,  XVII |     Every one that looks towards infinity does, as I have said, at
64     II,  XVII |   because we have an idea of the infinity of space, than it is necessary
65     II,  XVII |         has any positive idea of infinity in either case. For whatsoever
66     II,  XVII |       Supposed positive ideas of infinity, cause of mistakes. But
67     II,  XVII |  positive comprehensive ideas of infinity, it is fit they enjoy their
68     II,  XVII |        all discourses concerning infinity,—whether of space, duration,
69     II,  XVII |         a defect in our ideas of infinity, and the disproportion the
70     II,  XVII |       the contemplation of them,—Infinity, it is possibly no more
71     II,  XVII |         even the idea we have of infinity, how remote soever it may
72     II,  XVII |        into their minds ideas of infinity. But this hinders not but
73     II,  XVII |          ideas which they had of infinity from sensation and reflection,
74     II,  XVIII|         to extend itself even to infinity; which, however it may of
75     II,  XXIII|        of these with our idea of infinity; and so putting them together,
76     II,  XXIII|        to that vastness to which infinity can extend them.~35. God
77     II,  XXIII|          incognisable. For it is infinity, which, joined to our ideas
78     II,  XXIII|         attribute to God, bating infinity, which is not also a part
79     II,  XXIX |      added (wherein consists the infinity) we have but an obscure,
80    III,  VI   |         all these together, with infinity to each of them, we have
81    III,  VI   |       all those other ideas with infinity; to the other spirits, with
82    III,  VI   |          other, but only that of infinity. All the particular ideas
83    III,  VI   |      utmost we can imagine, even infinity, when we would frame as
84     IV,  X    |   particles of matter, and so an infinity of gods. And yet, if they
85     IV,  XVII |      extension of matter, nor of infinity, we are at a loss about