4 ideas
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. |
2667 | A false object might give the same presentation as a true one [Arcesilaus, by Cicero] |
Full Idea: Arcesilaus said that no presentation proceeding from a true object is such that a presentation proceeding from a false one might not also be of the same form. This is the one argument that has held the field down to the present day. | |
From: report of Arcesilaus (fragments/reports [c.275 BCE]) by M. Tullius Cicero - Academica II.24.77 |
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'). |