3 ideas
22304 | Truth is conceivability, or the systematic coherence of a significant whole [Joachim] |
Full Idea: Truth is in its essence conceivability or systematic coherence. ...[p.78] It is the systematic coherence which characterises a significant whole. | |
From: Harold Joachim (The Nature of Truth [1906], p.68), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 35 'coh' | |
A reaction: We obviously need to know when a whole becomes 'significant'. Potter says mystical idealists liked this because it contributed to their teleological view of the whole of reality. Presumably its roots are in Hegel. |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points. | |
From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13 | |
A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry. |
18436 | Entities are truthmakers for their resemblances, so no extra entities or 'resemblances' are needed [Rodriquez-Pereyra] |
Full Idea: A and B are the sole truthmakers for 'A and B resemble each other'. There is no need to postulate extra entities - the resembling entities suffice to account for them. There is no regress of resemblances, ...since there are no resemblances at all. | |
From: Gonzalo Rodriguez-Pereyra (Resemblance Nominalism: a solution to universals [2002], p.115), quoted by Douglas Edwards - Properties 5.5.2 | |
A reaction: This seems to flatly reject the ordinary conversational move of asking in what 'respect' the two things resemble, which may be a genuine puzzle which gets an illuminating answer. We can't fully explain resemblance, but we can do better than this! |