Combining Texts

All the ideas for 'Science and Method', 'Axioms for the Part Relation' and 'Freedom and Reason'

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5 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.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]
     Full Idea: According to Hare's universal prescriptivism, moral statements are closer to imperatives than to avowals of emotion; their purpose is to guide action. But unlike imeperatives they are universalisable.
     From: report of Richard M. Hare (Freedom and Reason [1963]) by Hans-Johann Glock - What is Analytic Philosophy? 2.9
     A reaction: Why isn't 'everyone ought to support West Ham' a moral judgement?
Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]
     Full Idea: Hare has suggested that a fairly tight form of utilitarianism can be obtained from universalised prescriptivism.
     From: report of Richard M. Hare (Freedom and Reason [1963]) by Philippa Foot - Does Moral Subjectivism Rest on a Mistake? p.191
     A reaction: All the benefits of Bentham, Kant and Hume, in one neat package! Since I take all three of them to be wrong about ethics, that counts against this idea.
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The categorical imperative leads to utilitarianism [Hare, by Nagel]
     Full Idea: Hare has proposed that utilitarianism is the ultimate standard to which we are led by the categorical imperative.
     From: report of Richard M. Hare (Freedom and Reason [1963], p.123-4) by Thomas Nagel - Equality and Partiality
     A reaction: It seems to me better to say that Kant starts (unwittingly) from something like utilitarianism, that is, an assumption that human happiness and welfare have some sort of intrinsic value that cannot be demonstrated. Otherwise evil can be universalised.