Book,  Chapter

  1   Read        |           the trouble to be of that number. But yet if any one thinks
  2   Read        |           consists of a determinate number of certain simple or less
  3      I,  I    |            of mankind. But were the number far less, it would be enough
  4      I,  II   |           no more doubt about their number than there is about the
  5      I,  II   |             than there is about the number of our fingers; and it is
  6      I,  III  |            belong are extension and number, of which alone whole and
  7      I,  III  |         innate ideas, extension and number must be so too; it being
  8      I,  III  |          the ideas of extension and number, I leave to be considered
  9      I,  III  |           find the Siamites of this number. But for this, let them
 10      I,  III  |          fire, or the sun, heat, or number, do prove the ideas they
 11      I,  III  |              making far the greater number, took up their notions by
 12     II,  VII  |         above-mentioned ideas, viz. number, whose stock is inexhaustible
 13     II,  VIII |            division, make a certain number. These I call original or
 14     II,  VIII |         figure, motion or rest, and number.~10. Secondary qualities
 15     II,  VIII |        since the extension, figure, number, and motion of bodies of
 16     II,  VIII |       motions and figures, bulk and number, of such particles, affecting
 17     II,  VIII |            but by the bulk, figure, number, and motion of its solid
 18     II,  VIII |         exist. The particular bulk, number, figure, and motion of the
 19     II,  VIII |         bodies, by the size, figure number, and motion of its parts;—
 20     II,  VIII |        solidity, extension, figure, number, and motion, or rest, and
 21     II,  VIII |            First, The bulk, figure, number, situation, and motion or
 22     II,  VIII |            bulk, figure, extension, number, and motion of their solid
 23     II,  X    |            existence, duration, and number, which almost every object
 24     II,  XI   |         have any knowledge of their number; for though they are mightily
 25     II,  XI   |           have any sense that their number is lessened.~8. Naming.
 26     II,  XII  |          decompounded, though their number be infinite, and the variety
 27     II,  XIII |             either of them from any number: and yet it is made up only
 28     II,  XIII |      variety. For, besides the vast number of different figures that
 29     II,  XIV  |    reflecting on the succession and number of his own thoughts, got
 30     II,  XIV  |             as the utmost bounds of number are beyond the largest comprehension
 31     II,  XIV  |             have of the infinity of number, to which we can add for
 32     II,  XIV  |           than we can to the end of number, to which we can always
 33     II,  XV   |        ideas. Could the mind, as in number, come to so small a part
 34     II,  XV   |             looked on as an unit in number, when the mind by division
 35     II,  XV   |             confused; and it is the number of its repeated additions
 36     II,  XVI  |                 Chapter XVI~Idea of Number ~1. Number the simplest
 37     II,  XVI  |      Chapter XVI~Idea of Number ~1. Number the simplest and most universal
 38     II,  XVI  |         universal idea we have. For number applies itself to men, angels,
 39     II,  XVI  |             a million, or any other number.~3. Each mode distinct.
 40     II,  XVI  |       distinct. The simple modes of number are of all other the most
 41     II,  XVI  |        distinctness of each mode of number from all others, even those
 42     II,  XVI  |         which is clear otherwise in number, where, as has been said,
 43     II,  XVI  |            idea which he had of any number, and gave a name to it,
 44     II,  XVI  |           any distinct idea of that number, though they could reckon
 45     II,  XVI  |     multitude, which they could not number; which inability, I suppose,
 46     II,  XVI  |            for numbers above 5; any number beyond that they made out
 47     II,  XVI  |          ourselves might distinctly number in words a great deal further
 48     II,  XVI  |           line, as the marks of one number: v. g.~Nonillions Octillions
 49     II,  XVI  |         ordinary way of naming this number in English, will be the
 50     II,  XVI  |      distinguishing notions of this number. But whether, by giving
 51     II,  XVI  |          invention.~7. Why children number not earlier. Thus children,
 52     II,  XVI  |          reckoning, do not begin to number very early, nor proceed
 53     II,  XVI  |            or have any idea of that number, must know that nineteen
 54     II,  XVI  |  combinations, from an unit to that number; and that not confusedly,
 55     II,  XVI  |         will not be attained to.~8. Number measures all measureables.
 56     II,  XVI  |            further is observable in number, that it is that which the
 57     II,  XVI  |         nothing but the infinity of number. For what else are our ideas
 58     II,  XVI  |     expansion, with the infinity of number; in which we can come to
 59     II,  XVI  |             an inexhaustible stock, number (of all other our ideas)
 60     II,  XVI  |             into one sum as great a number as he pleases, this multitude,
 61     II,  XVI  |          the inexhaustible stock of number; where still there remains
 62     II,  XVII |             to space, duration, and number. He that would know what
 63     II,  XVII |             of space, duration, and number, which we have considered
 64     II,  XVII |              and imitation of, that number or extent of the acts or
 65     II,  XVII |             the infinity of endless number. I do not pretend to say
 66     II,  XVII |             the endless addition of number, we come by the idea of
 67     II,  XVII |           we can come to the end of number; which every one perceives
 68     II,  XVII |            but space, duration, and number, being capable of increase
 69     II,  XVII |             idea of the infinity of number be, there is nothing yet
 70     II,  XVII |          actual idea of an infinite number. Whatsoever positive ideas
 71     II,  XVII |             any space, duration, or number, let them be ever so great,
 72     II,  XVII |             an idea of any space or number, as great as he will; it
 73     II,  XVII |          which is the same thing) a number infinite, i.e. of a space
 74     II,  XVII |        infinite, i.e. of a space or number which the mind actually
 75     II,  XVII |    terminates in; and of a space or number, which, in a constant and
 76     II,  XVII |          thoughts can find none.~9. Number affords us the clearest
 77     II,  XVII |           of all other ideas, it is number, as I have said, which I
 78     II,  XVII |        distinct ideas,—kept best by number from running into a confused
 79     II,  XVII |      conceptions of the infinity of number contrasted with those of
 80     II,  XVII |         nothing but the infinity of number applied to determinate parts,
 81     II,  XVII |          ideas, if we consider that number is not generally thought
 82     II,  XVII |          arises from hence,—that in number we are at one end, as it
 83     II,  XVII |            were: for there being in number nothing less than an unit,
 84     II,  XVII |            addition, or increase of number, we can set no bounds: and
 85     II,  XVII |      consider it as if this line of number were extended both ways—
 86     II,  XVII |            turning this infinity of number both ways, a parte ante,
 87     II,  XVII |            with all the infinity of number: and when we would consider
 88     II,  XVII |        still extending that line of number as before. And these two
 89     II,  XVII |             way the infinite end of number, i.e. the power still of
 90     II,  XVII |             indeterminable lines of number; and reckoning any way from
 91     II,  XVII |          magnus,—by the infinity of number, we add others to them,
 92     II,  XVII |            we have to set bounds to number, we have that indeterminable
 93     II,  XVII |            has the infinity also of number; but with this difference,—
 94     II,  XVII |          idea of an actual infinite number;—the infinity whereof lies
 95     II,  XVII |  combination of units to any former number, and that as long and as
 96     II,  XVII |         other infinity than that of number capable still of further
 97     II,  XVII |           actual positive idea of a number infinite. For, I think it
 98     II,  XVII |            idea of infinite than as number does; which, consisting
 99     II,  XVII |           the assemblage of a great number of positive ideas of space
100     II,  XVII |          positive clear idea of the number of the sands on the sea-shore,
101     II,  XVII |          one thousand, or any other number of miles, or years, whereof
102     II,  XVII |          idea of an actual infinite number, I leave him to consider,
103     II,  XVII |         consider, till his infinite number be so great that he himself
104     II,  XVII |             of duration, space, and number, and what arises from the
105     II,  XVIII|        ideas, to almost an infinite number. Sounds also, besides the
106     II,  XXI  |            extension, duration, and number, do they not all contain
107     II,  XXI  |           which are the far greater number. For, considering the vast
108     II,  XXI  |           For, considering the vast number of voluntary actions that
109     II,  XXI  |            add Existence, Duration, Number, which belong both to the
110     II,  XXI  |             different bulk, figure, number, texture, and motion of
111     II,  XXII |         allowing or considering any number of simple ideas to make
112     II,  XXII |            of complex modes. What a number of different ideas are by
113     II,  XXII |             stinted to too scanty a number of ideas, if we consider
114     II,  XXII | inexhaustible stock of simple modes number and figure alone afford
115     II,  XXIII|              furnished with a great number of the simple ideas, conveyed
116     II,  XXIII|          notice also that a certain number of these simple ideas go
117     II,  XXIII|          such are the bulk, figure, number, situation, and motion of
118     II,  XXIII|             collection of a certain number of simple ideas, considered
119     II,  XXIII|            as often as I can add to number; and thus enlarge my idea
120     II,  XXIV |        though consisting of a great number of distinct substances,
121     II,  XXIV |             or complex idea, of any number, as a score, or a gross, &
122     II,  XXIV |             one the idea of a great number of men, and consider it
123     II,  XXV  |       capable of almost an infinite number of considerations in reference
124     II,  XXV  |               to an almost infinite number: he being capable of as
125     II,  XXV  |             Though there be a great number of considerations wherein
126     II,  XXIX |      composition are clear, and the number and order of those simple
127     II,  XXIX |           is made up of too small a number of simple ideas, and such
128     II,  XXIX |             make up any idea are in number enough, yet they are so
129     II,  XXIX |            and more determinate the number and order of them is, whereof
130     II,  XXIX |             united in a determinate number and order, apply steadily
131     II,  XXIX |        confused, though that of the number be very distinct; so that
132     II,  XXIX |         idea which depends upon the number of thousand, he is apt to
133     II,  XXIX |            one from another, by the number of sides; and reason and
134     II,  XXIX |     distinct idea (bating still the number, which concerns not extension)
135     II,  XXIX |           times as big, but only by number: so that we have clear distinct
136     II,  XXIX |     infinite do, at last to that of number always to be added; but
137     II,  XXIX |           clear idea of an infinite number, by being able still to
138     II,  XXIX |             of an actually infinite number: they both being only in
139     II,  XXIX |             still of increasing the number, be it already as great
140     II,  XXIX |          can in arithmetic, about a number of which we have no such
141     II,  XXIX |           to the end of addition or number than 4. For he that adds
142     II,  XXXI |     triangle; though it be no small number that are already by mathematicians
143     II,  XXXII|          for; they being but few in number, and such as, if he doubts
144     II,  XXXII|             it has united a certain number of simple ideas that do
145    III,  III  |             what, suppose a certain number of those essences, according
146    III,  III  |         these essences as a certain number of forms or moulds, wherein
147    III,  IV   |            us that light is a great number of little globules, striking
148    III,  IV   |      depending thereon, the precise number whereof is also unknown,
149    III,  IV   |         distinction from extension, number, motion, pleasure, and pain,
150    III,  V    |         First, It chooses a certain number; Secondly, It gives them
151    III,  V    |            a connexion to a certain number of ideas, which in nature
152    III,  V    |            be observed in them, the number must be infinite, and the
153    III,  V    |             made up of only a small number of simple ones; and in the
154    III,  VI   |          put any difference, by any number of simple ideas which we
155    III,  VI   |            supposition of a certain number of real essences. To distinguish
156    III,  VI   |            know what is the precise number of properties depending
157    III,  VI   |            do is, to collect such a number of simple ideas as, by examination,
158    III,  VI   |         determined, and the precise number of simple ideas which make
159    III,  VI   |      complex ideas differ either in number or sorts of their component
160    III,  VI   |          union from nature: yet the number it combines depends upon
161    III,  VI   |        having agreed on the precise number of simple ideas or qualities
162    III,  VI   |            signification, a precise number of simple ideas, much less
163    III,  VI   |             and in others a smaller number of qualities; and so is
164    III,  VI   |            partial they are. If the number of simple ideas that make
165    III,  VII  |         variety, much exceeding the number of particles that most languages
166    III,  VIII |       proportion with that infinite number of names of substances,
167    III,  IX   |              and made up of a great number of ideas put together.~Secondly,
168    III,  IX   |              and how much a greater number of changes any of them will
169    III,  IX   |            the precise and definite number, they are differently discovered
170    III,  IX   |       greater, and in others a less number of particular beings: who
171    III,  IX   |         modes, in which the precise number of simple ideas that make
172    III,  IX   |      especially those of figure and number, of which men have so clear
173    III,  IX   |            which comprehend a great number of simple ideas, are commonly
174    III,  XI   |            the length or lessen the number of their disputes; yet methinks
175    III,  XI   |             of a smaller or greater number of sensible qualities, proportionably
176     IV,  II   |           privilege of the ideas of number, extension, and figure alone,
177     IV,  II   |         ideas of extension, figure, number, and their modes.~10. Why
178     IV,  II   |            us, by the size, figure, number, and motion of minute corpuscles
179     IV,  II   |         produced in us by a certain number of globules, which, having
180     IV,  II   |           as to reflect the greater number of globules of light, and
181     IV,  II   |           to the retina the greater number of such corpuscles, with
182     IV,  II   |             from which the greatest number are reflected, as is evident
183     IV,  II   |            knowing, therefore, what number of particles, nor what motion
184     IV,  II   |           demonstration as ideas of number and extension. What I have
185     IV,  III  |       particular extension, figure, number of parts, motion, excludes
186     IV,  III  |      perceived, as well as those of number and extension: and I cannot
187     IV,  III  |      consideration of that infinite number of spirits that may be,
188     IV,  IV   |           that there were a certain number of these essences, wherein
189     IV,  V    |             occasioned by the great number of simple ideas that go
190     IV,  V    |            that line into a certain number of equal parts: v.g. into
191     IV,  V    |            a thousand, or any other number, and may have the idea of
192     IV,  V    |           equal parts, as a certain number of them will be equal to
193     IV,  VII  |             even almost an infinite number of other propositions are
194     IV,  VIII |            man may find an infinite number of propositions, reasonings,
195     IV,  X    |   cogitative being, but an infinite number of eternal, finite, cogitative
196     IV,  XI   |         equally true that a certain number of very fine colours did
197     IV,  XV   |            to be considered: 1. The number. 2. The integrity. 3. The
198     IV,  XV   |            the relators are more in number, and of more credit, and
199     IV,  XV   |     constancy of experience and the number and credibility of testimonies
200     IV,  XVI  |             May we not find a great number (not to say the greatest
201     IV,  XVI  |             but these are so few in number, and find so little reason
202     IV,  XVII |           there is but a very small number who do any more than believe
203     IV,  XVII |        clear, and distinct ideas of number, our reason meets with none
204     IV,  XX   |            honesty, or learning, or number of those of the same profession?
205     IV,  XXI  |             of their affections, as number, and figure, &c.~3. Practica.