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 1.2.4.18

SBN 45 · cited directly by 6 papers, reached by 1 more through page or section ranges

I first ask mathematicians, what they mean when they say one line or surface is equal to, or greater, or less than another? Let any of them give an answer, to whatever sect he belongs, and whether he maintains the composition of extension by indivisible points, or by quantities divisible in infinitum. This question will embarrass both of them.

Who cites it

6 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
Kail 2007
focused
T 1.4.2.45
T 1.2.4 (3 paragraphs)
Citation pattern
…ents' to convince us that 'our perceptions are not possest of any independent existence' (T 1.4.2.45; SBN 210), and that…
Hatfield 2009(Treatise, 45)
T 1.2.4 (3 paragraphs)
Citation pattern
… 'doctrine of indivisible points' that 'few or no mathematicians' hold, according to Hume (Treatise, 45)? What is the 'doctr…
Noonan 2012
focused
THN 1.4.2.45
T 1.2.4 (3 paragraphs)
Citation pattern
…riments familiar to philosophers (but apparently not known to the vulgar) establish this (THN 1.4.2.45 / 211). But even ph…
Pitson 2012T 1.4.2.45
T 1.2.4 (3 paragraphs)
Citation pattern
…iments' which enable us to infer that all or our perceptio fact depend on our physiology (T 1.4.2.45). This opens the p …
Pitson 2013T 1.4.2.45
T 1.2.4 (3 paragraphs)
Citation pattern
…ct, have no distinct or independent existence in so far as they depend on our physiology (T 1.4.2.45; SBN 210-11). This …
Rocknak 2019T 1.4.2.45
T 1.2.4 (3 paragraphs)
Citation pattern
… they summarily reject it by using simple logic (modus tollens) and a thought experiment (T 1.4.2.45; SBN 210-11). 14 I…
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'…
T 1.4.2.45
T 1.2.4 (3 paragraphs)
Citation pattern
… position we might view them from, and according to what state of health we are in, etc. (T 1.4.2.45; SBN 211). As a res…
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, …