By Norwood Russell Hanson (auth.), Willard C. Humphreys Jr. (eds.)
An incidence is defined by means of being concerning earlier occasions via recognized legislation. different highbrow actions can also represent rationalization - yet this a lot definitely does. preferably, an defined prevalence (0) might have been envisioned in a hooked up approach - by way of extrapolation from past occasions (e) through a similar legislation (L). Schematically, 1 rationalization: zero -Lt, 2, 3-(e e e )'-AI t 2 three 01 Prediction: (e e e )I-L , 2, 3_ +.11 t 2 three t therefore Mars' backward loop in overdue summer time, 1956, is defined by way of displaying how this follows from (e ) its suggest distance from solar and earth, (e ) its t 2 suggest interval of revolution, (e ) its prior positions relative to earth, and so on. three - in terms of the legislation of Celestial Mechanics (including (Lt) Kepler's legislation and Galileo's, (L2) Newton's, and (L3) these of Laplace and Lagrange. additionally, this loop (0) might have been estimated from such occasions (e -e ) through the legislation of Celestial Mechanics. t three this is often an awesome state of affairs. It crystallized overdue within the background of planetary thought. The Greeks came across factors for heavenly motions: the again ward loops have been defined to their pride. yet they can now not are expecting those motions, no longer by way of Attic explanatory cosmologies.
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Additional info for Constellations and Conjectures
31 thon') - since this latter revolves with the earth, but in a smaller orbit. 47 Incidentally, Aetius ascribes the Anticthon'doctrine not to Philolaus, but to Hiketas 48. Diogenes Laertius reiterates the same suggestion 49. The tight orbit into which Philolaus twisted the earth is collapsed to zero by Hiketas, leaving the planet 'spinning' on its axis. But this was probably conceived as 'revolution in a zero diameter orbit'. Ekphantus as we saw also let the earth move, rather than the sun and stars 50.
Mars: Ensphered d la Eudoxos. "Here is how Eudoxos accounted for the motion of a planet, with four spheres. The planet itself is carried by the innermost, embedded at some place on the equator. The outermost of the four spins round a North-South axle once in 24 hours, to account for the planet's daily motion in common with the stars. The next inner sphere spins with its axle pivoted in the outermost sphere and tilted 23t o from the N-S direction, so that its equator is ecliptic path of the Sun and planets.
Nor was his outlook even affected by mathematical considerations, as Plato's surely had been. In his geometrical computations Eudoxos had entertained imaginary 95 96 De Caela, II, 14, pp. 297b-298a. Compare Newton's 17th century adaptation of the same arguments; cf. p. 46 supra. C. 65 spheres solely to 'account for' the observations; to 'reduce' the apparent anomalies to possible intelligible structures. 97 Although he was aware of Eudoxos' intentions, Aristotle could not rest with suggestions so tentative and hypothetical.
Constellations and Conjectures by Norwood Russell Hanson (auth.), Willard C. Humphreys Jr. (eds.)