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 1.2.4.29

SBN 50-1 · cited directly by 2 papers, reached by 2 more through page or section ranges

It appears, then, that the ideas which are most essential to geometry, viz. those of equality and inequality, of a right line and a plain surface, are far from being exact and |determinate, according to our common method of conceiving them. Not only we are incapable of telling, if the case be in any degree doubtful, when such particular figures are equal; when such a line is a right one, and such a surface a plain one; but we can form no idea of that proportion, or of these figures, which is firm and invariable. Our appeal is still to the weak and fallible judgment, which we make from the appearance of the objects, and correct by a compass or common measure; and if we join the supposition of any farther correction, 'tis of such-a-one as is either useless or imaginary. In vain shou'd we have recourse to the common topic, and employ the supposition of a deity, whose omnipotence may enable him to form a perfect geometrical figure, and describe a right line without any curve or inflexion. As the ultimate standard of these figures is deriv'd from nothing but the senses and imagination, 'tis absurd to talk of any perfection beyond what these faculties can judge of; since the true perfection of any thing consists in its conformity to its standard.

Who cites it

2 of 4 papers cite this paragraph directly; the rest reach it through a page or section range. Snippets are the words around each citation.

PaperCited asContext
Mcintyre 2009T 1.4.2.51-2
T 1.2.4 (3 paragraphs)
Citation pattern
…up the opinion that resembling impressions are interrupted and different from each other (T 1.4.2.51-2). This leads to the…
Strawson 20111.4. 2.50
T 1.2.4 (4 paragraphs)
Citation pattern
…intainedthatopinioninwo rdsonly,andwereneverabletobringthemselvessincerelytobelieveit(214/1.4. 2.50) 'tisinvaintoask,W…
1.2.4.29
this paragraph
Citation pattern
…ee.g.49/1.2.4.25,33n/4.16n,77n/ 7.29n;uncertain,seee.g.78n/ 7.29n;indeterminate,seee.g.50/1.2.4.29,162/1.3.14.1;obscur…
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 …
Rocknak 2019T 1.4.2.49-50
T 1.2.4 (6 paragraphs)
Citation pattern
…ct objects that, as such, allegedly cause our interrupted and varied perceptions of them (T 1.4.2.49-50; SBN 213). In this …
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'…