Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Truth and Probability' and 'The Individual, the State, and the Common Good'

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5 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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.
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.
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]
     Full Idea: Ramsey suggested that 'if', 'given that' and 'on the supposition that' come to the same thing, and that the degrees of belief in the antecedent should then conform to probability theory.
     From: report of Frank P. Ramsey (Truth and Probability [1926]) by Frank P. Ramsey - Law and Causality B
     A reaction: [compressed]
14. Science / C. Induction / 6. Bayes's Theorem
Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]
     Full Idea: Ramsey gave an axiomatic treatment of preference in the face of uncertainty, when applied to a particular agent.
     From: report of Frank P. Ramsey (Truth and Probability [1926]) by Donald Davidson - Truth and Predication 2
     A reaction: This is evidently the beginnings of Bayesian decision theory.
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberalism may fail because it neglects the shared nature of what we pursue and protect [Haldane]
     Full Idea: I am interested in the claim that liberalism fails inasmuch as it neglects, and cannot accommodate, the fact that some or all of the goods we pursue, and which a system of rights is concerned to protect, are goods possessed in common.
     From: John Haldane (The Individual, the State, and the Common Good [1996], III)
     A reaction: It depends how individualistic we take liberalism to be. Extreme individualism (Nozick) strikes me as crazy. If 'we' erect a statue to some dubious politicians, it might be presented as a common good, but actually be despised by many.