Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'The Analyst' and 'Thought and Responsibility'

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4 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

9390	Logic guides thinking, but it isn't a substitute for it [Rumfitt]
	Full Idea: Logic is part of a normative theory of thinking, not a substitute for thinking.
	From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
	A reaction: There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18091	Infinitesimals are ghosts of departed quantities [Berkeley]
	Full Idea: The infinitesimals are the ghosts of departed quantities.
	From: George Berkeley (The Analyst [1734]), quoted by David Bostock - Philosophy of Mathematics 4.3
	A reaction: [A famous phrase, but as yet no context for it]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

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.

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility

20166	A man is a responsible agent to the extent he has an intention, and knows what he is doing [Hampshire]
	Full Idea: A man becomes more and more a free and responsible agent the more he at all times knows what he is doing, in every sense of this phrase, and the more he acts with a definite and clearly formed intention.
	From: Stuart Hampshire (Thought and Responsibility [1960], p.178), quoted by John Kekes - The Human Condition 07.1
	A reaction: Kekes quote this (along with Frankfurt, Hart etc) as the 'received view' of responsibility, which he attacks.