Treatise Mapping
Map · Book 1: Of the Understanding · Part 2: Of the ideas of space and time · T 1.2.4 Objections answer'd

T 1.2.4.20

SBN 46 · cited directly by 5 papers, reached by 2 more through page or section ranges

As to those, who imagine, that extension is divisible in infinitum, 'tis impossible they can make use of this answer, or fix the equality of any line or surface by a numeration of its component parts. For since, according to their hypothesis, the least as well as greatest figures contain an infinite number of parts; and since infinite numbers, properly speaking, can neither be equal nor unequal with respect to each other; the equality or inequality of any portions of space can never depend on any proportion in the number of their parts. 'Tis true, it may be said, that the inequality of an ell and a yard consists in the different numbers of the feet, of which they are compos'd; and that of a foot and a yard in the number of the inches. But as that quantity we call an inch in the one is suppos'd equal to what we call an inch in the other, and as 'tis impossible for the mind to find this equality by proceeding in infinitum with these references to inferior quantities; 'tis evident, that at last we must fix some standard of equality different from an enumeration of the parts.

Who cites it

5 of 7 papers cite this paragraph directly; the rest reach it through a page or section range. Snippets are the words around each citation.

PaperCited asContext
Purviance 1997" (46)
T 1.2.4 (3 paragraphs)
Checked by model
…f will be shown, on Hume's view, to be the joint effects of a certain train of perceptions" (46). - 11 Immediately f…
Ellis 2006
focused
T 1.4.2.46
T 1.2.4 (3 paragraphs)
Citation pattern
…s between perception and object, one of his primary aims is to criticize the distinction (T 1.4.2.46; SBN 211). Still, …
Strawson 20111.4.2.46
T 1.2.4 (3 paragraphs)
Citation pattern
…heother. [3]Theideaofthisrelationisderiv'dfrompastexperience[ofconstantconjunct ion].(212/1.4.2.46) Inthispassageweha…
Noonan 2012
focused
THN 1.4.2.46
T 1.2.4 (3 paragraphs)
Citation pattern
…tains all the difficulties of the vulgar system, with others that are peculiar to itself (THN 1.4.2.46 / 211). The second …
Pitson 2013T 1.4.2.46-48
T 1.2.4 (6 paragraphs)
Citation pattern
…thstanding his own critical discussion of the philosophical view of a "double existence" (T 1.4.2.46-48; SBN 211-13)-so lon…
Rocknak 2019T 1.4.2.46
T 1.2.4 (3 paragraphs)
Citation pattern
…ects; particularly objects that are the continued and distinct causes of our perceptions (T 1.4.2.46; SBN 211). 17 Howe…
T 1.4.2.43-53
T 1.2.4.10 to T 1.2.5.1 (26 paragraphs)
Citation pattern
…to the senses," where he discusses the philosopher's rejection of the vulgar perspective (T 1.4.2.43-53; SBN 209-16). Hume'…
Cottrell 2015T 1.4.2.46 - 55
T 1.2.4.20 to T 1.2.5.5 (19 paragraphs)
Citation pattern
…uses of our sensory impressions and attributes the defining properties of a body to them (T 1.4.2.46 - 55; SBN 211 - 17). He …