Combining Texts

All the ideas for 'Science and Method', 'Axioms for the Part Relation' and 'Letters to Schlick'

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3 ideas

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.
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
In the military, persons are parts of parts of large units, but not parts of those large units [Rescher]
     Full Idea: In military usage, persons can be parts of small units, and small units parts of large ones; but persons are never parts of large units.
     From: Nicholas Rescher (Axioms for the Part Relation [1955]), quoted by Achille Varzi - Mereology 2.1
     A reaction: This much-cited objection to the transitivity of the 'part' relation seems very odd. There could hardly be an army or a regiment if there weren't soldiers to make up parts of it.
19. Language / F. Communication / 6. Interpreting Language / a. Translation
All translation loses some content (but language does not create reality) [Carnap]
     Full Idea: I do not believe in translatability without loss of content, and therefore I think that the content of a world description is influenced to a certain degree by choice of a language form. But that does not mean that reality is created through language.
     From: Rudolph Carnap (Letters to Schlick [1935], 1935.12.04), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 19 'Truth'
     A reaction: It is a mistake to think Quine was the first to spot the interest of translation in philosophy of language. 'Does translation always lose content?' is a very nice question for focusing the problem.