Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Aristotle and Kant on the Source of Value' and 'Mathematical Physics'

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8 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.
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Maths deals with quantities of physical significance, ignoring irrelevant features [Geroch]
     Full Idea: Mathematics can serve to provide a framework within which one deals only with quantities of physical significance, ignoring other, irrelevant things.
     From: Robert Geroch (Mathematical Physics [1985], p.1), quoted by Charles Chihara - A Structural Account of Mathematics 9.8
     A reaction: This is a modern physicist espousing abstractionism, as derided and dismissed by Frege and Geach. It's common sense, really.
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
If we can't reason about value, we can reason about the unconditional source of value [Korsgaard]
     Full Idea: If you can only know what is intrinsically valuable through intuition (as Moore claims), you can still argue about what is unconditionally valuable. There must be something unconditionally valuable because there must be a source of value.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Three')
     A reaction: If you only grasped the values through intuition, does that give you enough information to infer the dependence relations between values?
An end can't be an ultimate value just because it is useless! [Korsgaard]
     Full Idea: If what is final is whatever is an end but never a means, ...why should something be more valuable just because it is useless?
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Finality')
     A reaction: Korsgaard is offering this as a bad reading of what Aristotle intends.
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Goodness is given either by a psychological state, or the attribution of a property [Korsgaard]
     Full Idea: 'Subjectivism' identifies good ends with or by reference to some psychological state. ...'Objectivism' says that something is good as an end if a property, intrinsic goodness, is attributed to it.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Three')
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
Contemplation is final because it is an activity which is not a process [Korsgaard]
     Full Idea: It is because contemplation is an activity that is not also a process that Aristotle identifies it as the most final good.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Activity')
     A reaction: Quite a helpful way of labelling what Aristotle has in mind. So should we not aspire to be involved in processes, except reluctantly? I take the mind itself to be a process, so that may be difficult!
For Aristotle, contemplation consists purely of understanding [Korsgaard]
     Full Idea: Contemplation, as Aristotle understand it, is not research or inquiry, but an activity that ensues on these: an activity that consists in understanding.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Aristotle')
     A reaction: Fairly obvious, when you read the last part of 'Ethics', but helpful in grasping Aristotle, because understanding is the objective of 'Posterior Analytics' and 'Metaphysics', so he tells you how to achieve the ideal moral state.