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27. Natural Reality / D. Time / 3. Parts of Time / b. Instants

[smallest atoms in the division of time]

5 ideas
Time has parts, but the now is not one of them, and time is not composed of nows [Aristotle]
     Full Idea: Time has parts, some of which have been, others of which are going to be, but no part of it is. The now is not a part, because a part is a measure of the whole, which must be composed of parts. Time, however, does not seem to be composed of nows.
     From: Aristotle (Physics [c.337 BCE], 218a05), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.1
     A reaction: As good an expression as you will ever find of the baffling nature of time. Only the past and the future seem substantial enough to exist. Only the now can be real, and yet it seems to be a nothing. In Phys IV.14 time is mind-dependent.
Nows can't be linked together, any more than points on a line [Aristotle]
     Full Idea: We take it that it is impossible for the nows to be adjoining one another, as it is for a point to be adjoining a point.
     From: Aristotle (Physics [c.337 BCE], 218a18)
     A reaction: This implies that instants are abstractions, rather than physical realities. Aristotle rejects atoms, so presumably sees prime matter as the underlying uniter of matter. Insistence on linking the smallest parts leads to modern physics.
An 'instant' is where we perceive no succession, and is the time of a single idea [Locke]
     Full Idea: A part of duration wherein we perceive no succession, is that which we may call an 'instant'; and is that which takes up the time of only one idea in our minds.
     From: John Locke (Essay Conc Human Understanding (2nd Ed) [1694], 2.14.10)
     A reaction: Given that the present appears to have zero duration (if it is where past and future meet), then this strikes me as a pretty accurate account of what we mean by an instant.
Mathematicians don't distinguish between instants of time and points on a line [Russell]
     Full Idea: To the mathematician as such there is no relevant distinction between the instants of time and the points on a line.
     From: Bertrand Russell (The Principles of Mathematics [1903], §387)
     A reaction: This is the germ of the modern view of space time, which is dictated by the mathematics, rather than by our intuitions or insights into what is actually going on.
Time could be discrete (like integers) or dense (rationals) or continuous (reals) [Hawley]
     Full Idea: There seem to be three possible ways for time to be fine-grained. The ordering of instants could be discrete (like the integers), dense (like the rational numbers) or continuous (like the real numbers).
     From: Katherine Hawley (How Things Persist [2001], 2.5)
     A reaction: She seems to assume that time must be 'grained', but I would take the continuous view to imply that there is no grain at all (which is bad news for her version of stage theory).