Combining Texts

All the ideas for 'Science and Method', 'works' and 'fragments/reports'

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3 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Hermeneutics of tradition is sympathetic, hermeneutics of suspicion is hostile [Ricoeur, by Mautner]
     Full Idea: Ricoeur distinguishes a hermeneutics of tradition (e.g. Gadamar), which interprets sympathetically looking for hidden messages, and a hermeneutics of suspicion (e.g. Nietzsche, Freud) which sees hidden drives and interests.
     From: report of Paul Ricoeur (works [1970]) by Thomas Mautner - Penguin Dictionary of Philosophy p.249
     A reaction: Obviously the answer is somewhere between the two. Nietzsche's suspicion can be wonderful, but Freud's can seem silly (e.g. on Leonardo). On the whole I am on the 'tradition' side, because great thinkers can rise above their culture (on a good day).
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
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.