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Single Idea 22743

[filed under theme 26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature ]

Full Idea

The Stoic school say that the Whole is the Cosmos, whereas the All is the external void together with the Cosmos, so the Whole is limited but the All is unlimited. (Epicurus gives the two names indifferently to both).

Gist of Idea

Unlike Epicurus, Stoics distinguish the Whole from the All, with the latter including the void

Source

report of Stoic school (fragments/reports [c.200 BCE]) by Sextus Empiricus - Against the Physicists (two books) I.332

Book Ref

Sextus Empiricus: 'Against the Physicists/Against the Ethicists', ed/tr. Bury,R.G. [Harvard Loeb 1997], p.161


A Reaction

Epicurus needed the void as part of the Cosmos, into which the atoms can move. Presumably the Stoic void is infinite, but how far does the Stoic Cosmos extend?


The 14 ideas with the same theme [time or space or matter could be infinite]:

The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)]
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
Continuity depends on infinity, because the continuous is infinitely divisible [Aristotle]
The heavens seem to be infinite, because we cannot imagine their end [Aristotle]
There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend]
Totality has no edge; an edge implies a contrast beyond the edge, and there can't be one [Epicurus]
Bodies are unlimited as well as void, since the two necessarily go together [Epicurus]
Unlike Epicurus, Stoics distinguish the Whole from the All, with the latter including the void [Stoic school, by Sext.Empiricus]
There can be no centre in infinity [Lucretius]
The universe must be limitless, since there could be nothing outside to limit it [Lucretius]
An infinite line can be marked in feet or inches, so one infinity is twelve times the other [Spinoza]
If there were infinite electrons, they could vanish without affecting total mass-energy [Heil]
Given atomism at one end, and a finite universe at the other, there are no physical infinities [Brown,JR]
There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli]