Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Intro to III: Quantifiers' and 'Types and Ontology'

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4 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

9465	Substitutional universal quantification retains truth for substitution of terms of the same type [Jacquette]
	Full Idea: The substitutional interpretation says the universal quantifier is true just in case it remains true for all substitutions of terms of the same type as that of the universally bound variable.
	From: Dale Jacquette (Intro to III: Quantifiers [2002], p.143)
	A reaction: This doesn't seem to tell us how it gets started with being true.

9466	Nominalists like substitutional quantification to avoid the metaphysics of objects [Jacquette]
	Full Idea: Some substitutional quantificationists in logic hope to avoid philosophical entanglements about the metaphysics of objects, ..and nominalists can find aid and comfort there.
	From: Dale Jacquette (Intro to III: Quantifiers [2002], p.143)
	A reaction: This has an appeal for me, particularly if it avoids abstract objects, but I don't see much problem with material objects, so we might as well have a view that admits those.

7. Existence / E. Categories / 1. Categories

13127	Categories can't overlap; they are either disjoint, or inclusive [Sommers, by Westerhoff]
	Full Idea: Fred Sommers, in his treatment of types, says that two ontological categories cannot overlap; they are either disjoint, or one properly includes the other. This is sometimes referred to as Sommers' Law.
	From: report of Fred Sommers (Types and Ontology [1963], p.355) by Jan Westerhoff - Ontological Categories §24
	A reaction: The 'types', of course, go back to Bertrand Russell's theory of types, which is important in discussions of ontological categories. Carnap pursued it, trying to derive ontological categories from grammatical categories. 85% agree with Sommers.

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').