Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Remembrance of Things Past' and 'Intros to Russell's 'Essays in Analysis''

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4 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox

21554	Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
	Full Idea: Cantor proved that the number of sets in a collection of terms is larger than the number of terms. Hence Cantor's Paradox says the number of sets in the collection of all sets must be larger than the number of sets in the collection of all sets.
	From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127)
	A reaction: The sets must count as terms in the next iteration, but that is a normal application of the Power Set axiom.

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox

21553	It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
	Full Idea: The ordinal series is well-ordered and thus has an ordinal number, and a series of ordinals to a given ordinal exceeds that ordinal by 1. So the series of all ordinals has an ordinal number that exceeds its own ordinal number by 1.
	From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127)
	A reaction: Formulated by Burali-Forti in 1897.

18. Thought / B. Mechanics of Thought / 3. Modularity of Mind

7845	When we need to do something, we depute an inner servant to remind us of it [Proust]
	Full Idea: Whenever we have something definite to do at a given moment, we depute a certain person inside us who is accustomed to that sort of duty to keep an eye on the clock and warn us of the time. This inner servant reminded me that Albertine was coming soon.
	From: Marcel Proust (Remembrance of Things Past [1922], Cities.2.1)
	A reaction: I think Proust is wrong that we 'depute' this servant. I think it comes as a built-in feature, and the servant could never be abandoned or sacked, no matter how poor the service. Each of us is a team, which includes servants.

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

7903	The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
	Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
	From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
	A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').