Combining Texts

All the ideas for 'fragments/reports', 'talk' and 'Proof that every set can be well-ordered'

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3 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
     Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
     From: Epictetus (fragments/reports [c.57], 15)
     A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity
Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]
     Full Idea: Zermelo realised that the Axiom of Choice (based on arbitrary functions) could be used to 'count', in the Cantorian sense, those collections that had given Cantor so much trouble, which restored a certain unity to set theory.
     From: report of Ernst Zermelo (Proof that every set can be well-ordered [1904]) by Shaughan Lavine - Understanding the Infinite I
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Behind the bare phenomenal facts there is nothing [Wright,Ch]
     Full Idea: Behind the bare phenomenal facts, as my tough-minded old friend Chauncey Wright, the great Harvard empiricist of my youth, used to say, there is nothing.
     From: Chauncey Wright (talk [1870]), quoted by William James - Pragmatism - eight lectures Lec 7
     A reaction: This is the best slogan for strong phenomenalism ever coined! It also seems to fit David Lewis's approach to philosophy, as the pure study of the mosaic of experiences.