Combining Texts

All the ideas for 'fragments/reports', 'Brandom on Social Practices and Representations' 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!).
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
If we can't check our language against experience, philosophy is just comparing beliefs and words [Rorty]
     Full Idea: If we cannot check our language against non-linguistic awareness, then philosophy can never be more than a discussion of the utility and compatibility of beliefs - and, more particularly, of the various vocabularies in which those beliefs are formulated.
     From: Richard Rorty (Brandom on Social Practices and Representations [1998], iii.127), quoted by Danielle Macbeth - Pragmatism and Objective Truth p.178
     A reaction: I'm amazed at how many people I encounter in philosophy circles (compared with none at all outside those circles) who seem to think that we cannot check our language against our non-linguistic awareness. Rorty is their guru. Weird.
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