Combining Texts

All the ideas for 'Purifications (frags)', 'Review of Parsons (1983)' and 'Aristotle on Friendship'

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2 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Mathematics is part of science; transfinite mathematics I take as mostly uninterpreted [Quine]
     Full Idea: The mathematics wanted for use in empirical sciences is for me on a par with the rest of science. Transfinite ramifications are on the same footing as simplifications, but anything further is on a par rather with uninterpreted systems,
     From: Willard Quine (Review of Parsons (1983) [1984], p.788), quoted by Penelope Maddy - Naturalism in Mathematics II.2
     A reaction: The word 'uninterpreted' is the interesting one. Would mathematicians object if the philosophers graciously allowed them to continue with their transfinite work, as long as they signed something to say it was uninterpreted?
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
The Greek 'philia' covers all good and fruitful relationships [Cooper,JM]
     Full Idea: The Greek 'philia' is much wider than our "friendship"; it includes family relationships, and business relationships and membership of institutions.
     From: John M. Cooper (Aristotle on Friendship [1977], p.301)