Combining Philosophers

All the ideas for Archimedes, Tim Mawson and Pindar

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3 ideas

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.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]
     Full Idea: Nomos is king.
     From: Pindar (poems [c.478 BCE], S 169), quoted by Thomas Nagel - The Philosophical Culture
     A reaction: This seems to be the earliest recorded shot in the nomos-physis wars (the debate among sophists about moral relativism). It sounds as if it carries the full relativist burden - that all that matters is what has been locally decreed.
25. Social Practice / C. Rights / 1. Basis of Rights
Rights are moral significance, or liberty, or right not to be restrained, or entitlement [Mawson]
     Full Idea: A 'right' can mean 'x counts morally', or 'x is permitted to do this' (liberty), or 'x can't be stopped from doing this' (negative right), or 'someone should provide this for x'.
     From: Tim Mawson (Animal Rights talk [2003]), quoted by PG - lecture notes
     A reaction: A useful analysis. It is a useful preliminary to considering whether any of these are natural rights. Personally I am sympathetic to that concept. You cannot deny a person's right to self-defence, even when you are sitting on them. Persons have rights.