Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'The Logic of Boundaryless Concepts' and 'Essence and Potentiality'

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3 ideas

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
     Full Idea: Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
     A reaction: I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.
9. Objects / D. Essence of Objects / 4. Essence as Definition
Real definition fits abstracta, but not individual concrete objects like Socrates [Vetter]
     Full Idea: I can understand the notion of real definition as applying to (some) abstact entities, but I have no idea how to apply it to a concrete object such as Socrates or myself.
     From: Barbara Vetter (Essence and Potentiality [2010], §1)
     A reaction: She is objecting to Kit Fine's account of essence, which is meant to be clearer than the normal account of essences based on necessities. Aristotle implies that definitions get fuzzy when you reach the level of the individual.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Modal accounts make essence less mysterious, by basing them on the clearer necessity [Vetter]
     Full Idea: The modal account was meant, I take it, to make the notion of essence less mysterious by basing it on the supposedly better understood notion of necessity.
     From: Barbara Vetter (Essence and Potentiality [2010], §1)