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All the ideas for 'Symposium', 'Review: Meinong 'Untersuchungen zur..'' and 'Set Theory and related topics (2nd ed)'

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5 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis

21546	We can't sharply distinguish variables, domains and values, if symbols frighten us [Russell]
	Full Idea: Whoever is afraid of symbols can hardly hope to acquire exact ideas where it is necessary to distinguish 1) the variable in itself as opposed to its value, 2) any value of the variable, 3) all values, 4) some value.
	From: Bertrand Russell (Review: Meinong 'Untersuchungen zur..' [1905], p.84)
	A reaction: Not the best example, perhaps, of the need for precision, but a nice illustration of the new attitude Russell brought into philosophy.

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
	Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
	From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
	A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part

9. Objects / A. Existence of Objects / 4. Impossible objects

21531	Common sense agrees with Meinong (rather than Russell) that 'Pegasus is a flying horse' is true [Lackey on Russell]
	Full Idea: Meinong's theory says that 'Pegasus is a flying horse' is true, while Russell's says that this assertion is false. The average man, if he knows his mythology, would probably agree with Meinong.
	From: comment on Bertrand Russell (Review: Meinong 'Untersuchungen zur..' [1905]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.19
	A reaction: It seems obvious that some disambiguation is needed here. Assenting to that assertion would be blatantly contextual. No one backs Pegasus at a race track.

21545	I prefer to deny round squares, and deal with the difficulties by the theory of denoting [Russell]
	Full Idea: I should prefer to say that there is no such object as 'the round square'. The difficulties of excluding such objects can, I think, be avoided by the theory of denoting.
	From: Bertrand Russell (Review: Meinong 'Untersuchungen zur..' [1905], p.81)
	A reaction: The 'theory of denoting' is his brand new theory of definite descriptions, which makes implicit claims of existence explicit, so that they can be judged. Why can't we just say that a round square can be an intentional object, but not a real object?

22. Metaethics / B. Value / 2. Values / h. Fine deeds

5845	Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
	Full Idea: Niceratus said that his father, because he was concerned to make him a good man, made him learn the whole works of Homer, and he could still repeat by heart the entire 'Iliad' and 'Odyssey'.
	From: Xenophon (Symposium [c.391 BCE], 3.5)
	A reaction: This clearly shows the status which Homer had in the teaching of morality in the time of Socrates, and it is precisely this acceptance of authority which he was challenging, in his attempts to analyse the true basis of virtue