that does now exist: And it is no more than to think, that had the Sun shone then on the Dial, and moved after the same rate it doth now, the shadow on the Dial would have passed from one Hour-line to another, whilst that Flame of the Candle lasted.
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§ 31. And thus I think it is plain, that from those two Fountains of all Knowledge before mentioned, (viz.) Reflection and Sensation, we got the Ideas of Duration, and the measures of it.
For First, By observing what passes in our Minds, how our Ideas there in train constantly some vanish, and others begin to appear, we come by the Idea of Succession.
Secondly, By observing a distance in the parts of this Succession, we get the Idea of Duration.
Thirdly, By sensation observing certain appearances, at certain regular and seeming equidistant periods, we get the Ideas of certain Lengths or Measures of Duration, as Minutes, Hours, Days, Years, etc.
Fourthly, By being able to repeat those Measures of Time, or Ideas of stated length of Duration in our Minds, as often as we will, we can come to imagine Duration, where nothing does really endure or exist; and thus we imagine to morrow, next year, or seven years hence.
Fifthly, By being able to repeat any such Idea of any length of Time, as of a Minute, a Year, or an Age, as often as we will in [210]our own Thoughts, and add them one to another, without ever coming to the end of such addition, any nearer than we can to the end of Number, to which we can always add, we come by the Idea of Eternity, as the future eternal Duration of our Souls, as well as the Eternity of that infinite Being, which must necessarily have always existed.
Sixthly, By considering any part of infinite Duration, as set out by periodical Measures, we come by the Idea of what we call Time in general.
Of Duration and Expansion, considered together
§ 1. […] Distance or Space, in its simple abstract conception, to avoid confusion, I call Expansion, to distinguish it from Extension, which by some is used to express this distance only as it is in the solid parts of Matter, and so includes, or at least intimates the Idea of Body: Whereas the Idea of pure Distance includes no such thing. […]
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§ 5. Time in general is to Duration, as Place to Expansion. They are so much of those boundless Oceans of Eternity and Immensity, as is set out and distinguished from the rest, as it were by Land-marks; and so are made use of, to denote the Position of finite real Beings, in respect one to another, in those uniform infinite Oceans of Duration and Space. These rightly [212]considered, are nothing but Ideas of determinate Distances, from certain known points fixed in distinguishable sensible things, and supposed to keep the same distance one from another. From such points fixed in sensible Beings we reckon, and from them we measure out Portions of those infinite Quantities; which so considered, are that which we call Time and Place. For Duration and Space being in themselves uniform and boundless, the Order and Position of things, without such known setled Points, would be lost in them; and all things would lie jumbled in an incurable Confusion.
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§ 9. There is one thing more, wherein Space and Duration have a great Conformity, and that is, though they are justly reckoned amongst our simple Ideas: Yet none of the distinct Ideas we have of either is without all manner of Composition, it is the very nature of both of them to consist of Parts: But their Parts being all of the same kind, and without the mixture of any other Idea, hinder them not from having a Place amongst simple Ideas. Could the Mind, as in Number, come to so small a part of Extension or Duration, as excluded Divisibility, that would be, as it were, the indivisible Unite, or Idea; by repetition of which, it would make its more inlarged Ideas of Extension and Duration. But since the Mind is not able to frame an Idea of any Space, without Parts; instead thereof it makes use of the common Measures, which by familiar use, in each Country, have imprinted themselves on the Memory (as Inches, and Feet; or Cubits, and Parasangs; and so Seconds, Minutes, Hours, Days, and Years in Duration:) The Mind makes use, I [214]say, of such Ideas as these, as simple ones: and these are the component Parts of larger Ideas, which the Mind, upon Occasion, makes by the addition of such known Lengths, which it is acquainted with. On the other side, the ordinary smallest measure we have of either, is look’d on as an Unite in Number, when the Mind by division would reduce them into less Fractions. Though on both sides, both in addition and division, either of Space or Duration, when the Idea under Consideration becomes very big, or very small, its precise Bulk becomes very obscure and confused; and it is the Number of its repeated addition, or divisions, that alone remains clear and distinct, as will easily appear to any one, who will let his Thoughts loose in the vast Expansion of Space, or Divisibility of Matter. Every part of Duration is Duration too; and every part of Extension is Extension, both of them capable of addition or division in infinitum. But the least Portions of either of them, whereof we have clear and distinct Ideas, may perhaps be fittest to be considered by us, as the simple Ideas of that kind, out of which our complex modes of Space, Extension, and Duration, are made up, and into which they can again be distinctly resolved. Such a small part in Duration, may be called a Moment, and is the time of one Idea in our Minds, in the train of their ordinary Succession there. The other, wanting a proper Name, I know not whether I may be allowed to call a sensible Point, meaning thereby the least Particle of Matter or Space we can discern, which is ordinarily about a Minute, and to the sharpest eyes seldom less than thirty Seconds of a Circle, whereof the Eye is the centre.
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Of Number
§ 1. AMONGST all the Ideas we have, as there is none suggested to the Mind by more ways, so there is none more simple, than that of Unity, or One: it has no shadow of Variety or Composition in it: every Object our Senses are employed about; every Idea in our Understandings; every Thought of our Minds brings this Idea along with it. And therefore it is the most intimate to our Thoughts, as well as it is, in its Agreement to all other things, the most universal Idea we have. For Number applies it self to Men, Angels, Actions, Thoughts, every thing that either doth exist, or can be imagined.
§ 2. By repeating this Idea in our Minds, and adding the Repetitions together, we come by the complex Ideas of the Modes of it. Thus by adding one to one, we have the complex Idea of a Couple; by putting twelve Unites together, we have the complex Idea of a dozen; and so of a Score, or a Million, or any other Number.
§ 3. The simple modes of Number are of all other the most distinct; every the least Variation, which is an unite, making each Combination, as clearly different from that, which approacheth nearest to it, as the most remote; two being as distinct from one, as Two hundred; and the Idea of Two, as distinct from the Idea of Three, as the Magnitude of the whole Earth, is from that of a Mite. This is not so in other simple Modes, in which it is not so easie, nor, perhaps, possible for us to distinguish betwixt two approaching Ideas, which yet are [218]really different. For who will undertake to find a difference between the white of this Paper, and that of the next degree to it: Or can form distinct Ideas of every the least excess in Extension?
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§8. This farther
