Combining Philosophers

All the ideas for Archimedes, Ralph Waldo Emerson and Gonzalo Rodriguez-Pereyra

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4 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
A foolish consistency is the hobgoblin of little minds [Emerson]
     Full Idea: A foolish consistency is the hobgoblin of little minds, adored by little statesmen and philosophers and divines. With consistency a great soul has simply nothing to do.
     From: Ralph Waldo Emerson (Self-Reliance [1841], p.37)
     A reaction: A remark to warm the hearts of pragmatists, Wittgensteinians, Nietzscheans and the post-modern mob. But pay careful attention to the word "foolish". Robert Fogelin gives a very balanced view of the matter (e.g. Idea 6557).
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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.
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Resemblance Nominalists say that resemblance explains properties (not the other way round) [Rodriquez-Pereyra]
     Full Idea: Resemblance Nominalists cannot explain the resemblance between particulars in terms of their properties, because they explain particulars' properties in terms of their resemblances.
     From: Gonzalo Rodriguez-Pereyra (Resemblance Nominalism and Russell's Regress [2001], p.397), quoted by Douglas Edwards - Properties 5.5.1
     A reaction: While resemblance does seem to be a primitive fact of experience, and it points us towards the properties, to say that resemblance explains properties is obviously (as so often...) getting things the wrong way round. Properties ARE resemblances??
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!