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 1.2.4.16

SBN 44 · cited directly by 0 papers, reached by 3 more through page or section ranges

Thus it appears, that the definitions of mathematics destroy the pretended demonstrations; and that if we have the idea of indivisible points, lines and surfaces conformable to the definition, their existence is certainly possible: but if we have no such idea, 'tis impossible we can ever conceive the termination of any figure; without which conception there can be no geometrical demonstration.

Who cites it

0 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
Kail 2007
focused
T 1.4.2.44
T 1.2.4 (4 paragraphs)
Citation pattern
…ndependent existence of our sensible perceptions is contrary to the plainest experience' (T 1.4.2.44; SBN 210). 8 But hi…
Cottrell 2015T 1.4.2.44-45
T 1.2.4 (6 paragraphs)
Citation pattern
…r" conceive them, because none of our impressions have the defining properties of a body (T 1.4.2.44-45; SBN 210-11). But, …
Rocknak 2019T 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'…
T 1.4.2.44
T 1.2.4 (4 paragraphs)
Citation pattern
…will conclude ~I. This leads to a logical contradiction (or as Hume puts it, a "fallacy" (T 1.4.2.44; SBN 210)): the vul…