Combining Texts

All the ideas for 'poems', 'works' and 'Mathematics and Indispensibility'

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3 ideas

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
     Full Idea: If mathematical statements are part of every competing hypothesis, then no matter which hypothesis comes out best in the light of observations, they will be part of the best hypothesis. They are not tested, but are a background assumption.
     From: Elliott Sober (Mathematics and Indispensibility [1993], 45), quoted by Charles Chihara - A Structural Account of Mathematics
     A reaction: This is a very nice objection to the Quine-Putnam thesis that mathematics is confirmed by the ongoing successes of science.
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.
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Courage is not a virtue, but the form of every virtue at its testing point [Lewis,CS]
     Full Idea: Courage is not simply one of the virtues, but the form of every virtue at the testing point.
     From: C.S. Lewis (works [1950])
     A reaction: This appeared on Twitter, without mention of its source. Adding it breaks my normal rules, but I hope you agree that it is too good to miss. Is not even resolutely facing up to suffering or death a case of genuine courage? Determination, prioritisation?