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3 ideas
9389 | 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. |
16620 | A chair is wood, and its shape is the form; it isn't 'compounded' of the matter and form [Hobbes] |
Full Idea: Nothing can be compounded of matter and form. The matter of a chair is wood; the form is the figure it has, apt for the intended use. Does his Lordship think the chair compounded of the wood and the figure? | |
From: Thomas Hobbes (Letter to Bramhall [1650], 4:302), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 07.1 | |
A reaction: Aristotle does use the word 'shape' [morphe] when he is discussing hylomorphism, and the statue example seems to support it, but elsewhere the form is a much deeper principle of individuation. |
16622 | Essence is just an artificial word from logic, giving a way of thinking about substances [Hobbes] |
Full Idea: Essence and all other abstract names are words artificial belonging to the art of logic, and signify only the manner how we consider the substance itself. | |
From: Thomas Hobbes (Letter to Bramhall [1650], 4:308), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 | |
A reaction: I sympathise quite a lot with this view, but not with its dismissive tone. The key question I take to be: if you reject essences entirely (having read too much physics), how are we going to think about entities in the world in future? |