Treatise Mapping
Map · Book 1: Of the Understanding · Part 2: Of the ideas of space and time · T 1.2.2 Of the infinite divisibility of space and time

T 1.2.2.3

SBN 30-1 · cited directly by 1 paper, reached by 2 more through page or section ranges

I may subjoin another argument propos'd by a noted author, [7] which seems to me very strong and beautiful. 'Tis evident, that existence in itself belongs only to unity, and is never applicable to number, but on account of the unites, of which the number is compos'd. Twenty men may be said to exist; but 'tis only because one, two, three, four, &c. are existent; and if you deny the existence of the latter, that of the former falls of course. 'Tis therefore utterly absurd to suppose any number to exist, and yet deny the existence of unites; and as extension is always a number, according to the common sentiment of metaphysicians, and never resolves itself into any unite or indivisible quantity, it follows, that extension can never at all exist. 'Tis in vain to reply, that any determinate quantity of extension is an unite; but such-a-one as admits of an infinite number of fractions, and is inexhaustible in its sub-divisions. For by the same rule these twenty men may be consider'd as an unite. The whole globe of the earth, nay the whole universe may be consider'd as an unite. That term of unity is merely a fictitious denomination, which the mind may apply to any quantity of objects it collects together; nor can such an unity any more exist alone than number can, as being in reality a |true number. But the unity, which can exist alone, and whose existence is necessary to that of all number, is of another kind, and must be perfectly indivisible, and incapable of being resolved into any lesser unity.

Who cites it

1 of 3 papers cite this paragraph directly; the rest reach it through a page or section range. Snippets are the words around each citation.

PaperCited asContext
Cottrell 2015T 1.2.2.3
this paragraph
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… denomination, which the mind may apply to any quantity of objects it collects together" (T 1.2.2.3; SBN 30; italics in…
T 1.2.2.3
this paragraph
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…ether. Therefore, in sec- 53. Baxter (2008, 25-26) supports this claim with reference to T 1.2.2.3; SBN 30 and T 1.4.5…
Spector 19981.2.2
T 1.2.2 (12 paragraphs)
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…oral Concerns..........................................................................5 1.2.2 Questioning the Fit…
1.2.2
T 1.2.2 (12 paragraphs)
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…and the Selves of Book 2," Hume Studies, vol. 18, no. 2 (November 1992), pp. 281-292. ## 1.2.2 Questioning the Fit…
1.2.2
T 1.2.2 (12 paragraphs)
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… 65The individuation problem is on of the common criticisms of Hume's bundle theory. See 1.2.2 for a discussion of…
Garrett 2001(p. 31)
T 1.2.2 (4 paragraphs)
Checked by model
… images as incompatible with the "doctrine of infinite divisibility"' as applied to space (p. 31)? This question is r…
(Treatise, p. 30)
T 1.2.2 (4 paragraphs)
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…y of all composites) that Hume provides and endorses immediately after his first argument (Treatise, p. 30). (This is despite t…