Combining Texts

All the ideas for 'Science and Method', 'Axioms for the Part Relation' and 'Goodbye Growing Block'

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4 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.
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
Eternalism says all times are equally real, and future and past objects and properties are real [Merricks]
     Full Idea: Eternalism says all times are equally real. Objects existing at past times and objects existing at future times are just as real as objects existing at the present. Properties had at past and future times are as much properties as those at the present.
     From: Trenton Merricks (Goodbye Growing Block [2006], 1)
     A reaction: He adds that the present is therefore 'subjective', resulting from one's perspective. Why would eternalists reject their subjective experiences of time, unless they reject all their other subjective experiences as well?
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
Growing block has a subjective present and a growing edge - but these could come apart [Merricks, by PG]
     Full Idea: Merricks argues that the growing block view says that we live in the subjective present, and that there is a growing edge of being, but he then suggests that these two could come apart, and it would make no difference, so the growing block is incoherent.
     From: report of Trenton Merricks (Goodbye Growing Block [2006], 4) by PG - Db (ideas)
     A reaction: [I think that is the nub of his argument. I couldn't find a concise summary in his words]