Book III Ch. II as quoted by Florian Cajori (1899), as Aristotle's explanation of why bodies fall quicker in exact proportion to their weight.
On the Heavens
“Time is composed of time-atoms, i. e., of many parts, which on account of their short duration, cannot be divided. The Mutakallemim undoubtedly saw how Aristotle proved that time, space, and locomotion are of the same nature. …They, therefore, knew that if time were continuous and divisible ad infinitum, their assumed atom of space would of necessity likewise be divisible. Similarly, if it were supposed that space were continuous… the time-element… could also be divided. This has been shown by Aristotle in… Acroasis [Aristotelis stagyritae acroases physicae]. …An hour is, e. g., divided into sixty minutes, the second into sixty parts and so on; at last after ten or more successive divisions by sixty, time-elements are obtained which are not subjected to division, and in fact are indivisible.”
Guide for the Perplexed (c. 1190), Part I
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Maimónides 180
rabbi, physician, philosopher 1138–1204Related quotes
p, 125
Geometrical Lectures (1735)
“No matter how finely you subdivide time and space, each tiny division contains infinity.”
Dune Genesis (1980)
Context: No matter how finely you subdivide time and space, each tiny division contains infinity.
But this could imply that you can cut across linear time, open it like a ripe fruit, and see consequential connections. You could be prescient, predict accurately. Predestination and paradox once more.
The flaw must lie in our methods of description, in languages, in social networks of meaning, in moral structures, and in philosophies and religions — all of which convey implicit limits where no limits exist. Paul Muad'Dib, after all, says this time after time throughout Dune.
The Relation between Mathematics and Physics http://www.damtp.cam.ac.uk/events/strings02/dirac/speach.html (Feb. 6, 1939) Proceedings of the Royal Society (Edinburgh) Vol. 59, 1938-39, Part II, pp. 122-129.
“Since before time and space were,
the Tao is.
It is beyond is and is not.”
Source: Tao Te Ching, Ch. 21, as interpreted by Stephen Mitchell (1992)
Context: Since before time and space were,
the Tao is.
It is beyond is and is not.
How do I know this is true?
I look inside myself and see.
Time and Individuality (1940)
“I. Thesis. Finite elements of Space and Time. Antithesis.”
Continuity.
Antimonies
Gesammelte Mathematische Werke (1876)