Combining Texts

All the ideas for 'Necessary Existents', 'On the Concept of Character' and 'Proof that every set can be well-ordered'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897	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

19. Language / D. Propositions / 3. Concrete Propositions

19216	Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
	Full Idea: A proposition about an item exists only if that item exists... how could something be the proposition that that dog is barking in circumstances in which that dog does not exist?
	From: Timothy Williamson (Necessary Existents [2002], p.240), quoted by Trenton Merricks - Propositions
	A reaction: This is a view of propositions I can't make sense of. If I'm under an illusion that there is a dog barking nearby, when there isn't one, can I not say 'that dog is barking'? If I haven't expressed a proposition, what have I done?

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

23896	We see our character as a restricting limit, but also as an unshakable support [Weil]
	Full Idea: Our character appears to us as a limit by which we do not want to be imprisoned, …but also as a support that we want to believe is unshakable.
	From: Simone Weil (On the Concept of Character [1941], p.100)
	A reaction: A nice perception. It is fairly easy to criticise, or even laugh at, one's own actions, but extremely hard to criticise our own character. Maybe we all wish we were more determined in our projects, but not much else.

23893	We don't see character in a single moment, but only over a period of time [Weil]
	Full Idea: Character is constant over a period of time; the way a person is at a single moment does not at all reflect the character of this person. We do, however, concede that character changes.
	From: Simone Weil (On the Concept of Character [1941], p.98)
	A reaction: I do think, though, that there are moments in behaviour which are hugely revealing of character, even in a single remark. But I agree that most single moments do not show much.

23894	The concept of character is at the centre of morality [Weil]
	Full Idea: We cannot pose a moral problem without putting the concept of character at its centre.
	From: Simone Weil (On the Concept of Character [1941], p.98)
	A reaction: The question for Aristotle (which I derive from Philippa Foot) is whether moral goodness simply is good character, or whether it is the actions (or even the consequences). Weil is close to modern virtue theory here.

23895	We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil]
	Full Idea: We can modify our character, by putting ourselves in circumstances that will act on us from the outside, …or by the orientation of our attention in the moments that appear most insignificant or indifferent in our lives.
	From: Simone Weil (On the Concept of Character [1941], p.99)
	A reaction: I've never seen anyone address this question (apart from Aristotle's emphasis on training habits). Choosing your source for current affairs information strikes me as very important. What you read, what you watch, who you spend time with…