13 ideas
13536 | Skolem did not believe in the existence of uncountable sets [Skolem] |
Full Idea: Skolem did not believe in the existence of uncountable sets. | |
From: Thoralf Skolem (works [1920], 5.3) | |
A reaction: Kit Fine refers somewhere to 'unrepentent Skolemites' who still hold this view. |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation. | |
From: Ian Rumfitt ("Yes" and "No" [2000], II) | |
A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts. |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table. | |
From: Ian Rumfitt ("Yes" and "No" [2000]) | |
A reaction: This is the standard view which Rumfitt sets out to challenge. |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious. | |
From: Ian Rumfitt ("Yes" and "No" [2000], III) | |
A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value. |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A. | |
From: Ian Rumfitt ("Yes" and "No" [2000], IV) | |
A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role). |
3546 | 'Phronesis' should translate as 'practical intelligence', not as prudence [Annas] |
Full Idea: The best translation of 'phronesis' is probably not 'prudence' (which implies a non-moral motive), or 'practical wisdom' (which makes it sound contemplative), but 'practical intelligence', or just 'intelligence'. | |
From: Julia Annas (The Morality of Happiness [1993], 2.3) |
3547 | Epicureans achieve pleasure through character development [Annas] |
Full Idea: Since having a virtue does not reduce to performing certain kinds of acts, the Epicurean will achieve pleasure only by aiming at being a certain kind of person. | |
From: Julia Annas (The Morality of Happiness [1993], 2.4) | |
A reaction: No Epicurean would want to merely possess virtues, without enacting them. I assume that virtues are sought as guides to finding the finest pleasures (such as friendship). |
3543 | Cyrenaics pursue pleasure, but don't equate it with happiness [Annas] |
Full Idea: Cyrenaics claimed our final good was pleasure, best achieved by seeking maximum intensity of pleasurable experiences, but they explicitly admitted that this was not happiness. | |
From: Julia Annas (The Morality of Happiness [1993], 1) |
3541 | Ancient ethics uses attractive notions, not imperatives [Annas] |
Full Idea: Instead of modern 'imperative' notions of ethics (involving obligation, duty and rule-following), ancient ethics uses 'attractive' notions like those of goodness and worth | |
From: Julia Annas (The Morality of Happiness [1993], Intro) |
3550 | Principles cover life as a whole, where rules just cover actions [Annas] |
Full Idea: Principles concern not just types of actions, but one's life as a whole, grasping truths about the nature of justice, and the like; they explain rules, giving the 'why' and not just the 'what'. | |
From: Julia Annas (The Morality of Happiness [1993], 2.4) |
3551 | Virtue theory tries to explain our duties in terms of our character [Annas] |
Full Idea: An ethics of virtue moves from an initial interest in what we ought to do to an interest in the kinds of people we are and hope to be, because the latter is taken to be the best way of understanding the former. | |
From: Julia Annas (The Morality of Happiness [1993], 2.5) |
3552 | If excessively good actions are admirable but not required, then duty isn't basic [Annas] |
Full Idea: Supererogatory actions are admirable and valuable, and we praise people for doing them, but they do not generate obligations to perform them, which casts doubt on obligation as the basic notion in ethics. | |
From: Julia Annas (The Morality of Happiness [1993], 2.6) |
3542 | We should do good when necessary, not maximise it [Annas] |
Full Idea: Why should I want to maximise my acting courageously? I act courageously when it is required. | |
From: Julia Annas (The Morality of Happiness [1993], 1) |