T 1.2.4.17
SBN 44-5 · cited directly by 7 papers, reached by 1 more through page or section ranges
But I go farther, and maintain, that none of these demonstrations can have sufficient weight to establish such a |principle, as this of infinite divisibility; and that because with regard to such minute objects, they are not properly demonstrations, being built on ideas, which are not exact, and maxims, which are not precisely true. When geometry decides any thing concerning the proportions of quantity, we ought not to look for the utmost precision and exactness. None of its proofs extend so far. It takes the dimensions and proportions of figures justly; but roughly, and with some liberty. Its errors are never considerable; nor wou'd it err at all, did it not aspire to such an absolute perfection.
Who cites it
7 of 8 papers cite this paragraph directly; the rest reach it through a page or section range. Snippets are the words around each citation.
| Paper | Cited as | Context |
|---|---|---|
| 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… |
| 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… | |
| 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… |
| Strawson 2011 | 1.2.4.17 this paragraph Citation pattern | …e.g.18-23/1.1.7.2-14,222/1.4.3.8,77/7.29;deficient, seee.g.267/1.4.7.6; inexact,seee.g.45/1.2.4.17;merely'relative',se… |
| 1.2.4.17 this paragraph Citation pattern | …bleandinexplicableunles sitdoesexist. (45)95/1.3.7.3,10/1.1.3.4,10/1.1.4.1,24/1.1.7.15,42/1.2.4.17,628/1.3.7 .7, 123/1… | |
| 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 2012 | T 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 2013 | T 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 2019 | T 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 1.4.2.44 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… | |
| 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 2015 | T 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, … |