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All the ideas for 'Abstract Objects: a Case Study', 'Truth and the Past' and 'Virtues and Vices'

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23 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
We take courage, temperance, wisdom and justice as moral, but Aristotle takes wisdom as intellectual [Foot]
     Full Idea: For us there are four cardinal moral virtues: courage, temperance, wisdom and justice. But Aristotle and Aquinas call only three of these virtues moral virtues; practical wisdom (phronesis, prudentia) they class with the intellectual virtues.
     From: Philippa Foot (Virtues and Vices [1978], p.2)
     A reaction: I'm not sure about 'for us'. How many of us rank temperance as a supreme virtue? Aristotle ranks phronesis (which I think of as 'common sense') as the key enabler of the moral virtues, making it unlike the other intellectual virtues.
1. Philosophy / A. Wisdom / 2. Wise People
Wisdom is open to all, and not just to the clever or well trained [Foot]
     Full Idea: Knowledge that can be acquired only by someone who is clever or who has access to special training is not counted as part of wisdom.
     From: Philippa Foot (Virtues and Vices [1978], p.6)
     A reaction: Consider Pierre's peasant friend Platon Karatayev in 'War and Peace'. I assume 'special training' rules out anyone with a philosophy degree.
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett]
     Full Idea: I once wrote that there are three linguistic devices that make it possible for us to frame undecidable statements: quantification over infinity totalities, as expressed by word such as 'never'; the subjunctive conditional form; and the past tense.
     From: Michael Dummett (Truth and the Past [2001], 4)
     A reaction: Dummett now repudiates the third one. Statements containing vague concepts also appear to be undecidable. Personally I have no problems with deciding (to a fair extent) about 'never x', and 'if x were true', and 'it was x'.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Surely there is no exact single grain that brings a heap into existence [Dummett]
     Full Idea: There is surely no number n such that "n grains of sand do not make a heap, although n+1 grains of sand do" is true.
     From: Michael Dummett (Truth and the Past [2001], 4)
     A reaction: It might be argued that there is such a number, but no human being is capable of determing it. Might God know the value of n? On the whole Dummett's view seems the most plausible.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
     Full Idea: The intuitionist account of the meaning of mathematical statements does not employ the notion of a statement's being true, but only that of something's being a proof of the statement.
     From: Michael Dummett (Truth and the Past [2001], 2)
     A reaction: I remain unconvinced that anyone could give an account of proof that didn't discreetly employ the notion of truth. What are we to make of "we suspect this is true, but no one knows how to prove it?" (e.g. Goldbach's Conjecture).
7. Existence / B. Change in Existence / 1. Nature of Change
A 'Cambridge Change' is like saying 'the landscape changes as you travel east' [Dummett]
     Full Idea: The idea of 'Cambridge Change' is like saying 'the landscape changes as you travel east'.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: The phrase was coined in Oxford. It is a useful label with which realists can insult solipsists, idealists and other riff-raff. Four Dimensionalists seem to see time in this way. Events sit there, and we travel past them. But there are indexical events.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
7. Existence / D. Theories of Reality / 4. Anti-realism
I no longer think what a statement about the past says is just what can justify it [Dummett]
     Full Idea: In distinguishing between what can establish a statement about the past as true and what it is that that statement says, we are repudiating antirealism about the past.
     From: Michael Dummett (Truth and the Past [2001], 3)
     A reaction: This is a late shift of ground from the champion of antirealism. If Dummett's whole position is based on a 'justificationist' theory of meaning, he must surely have a different theory of meaning now for statements about the past?
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
The existence of a universe without sentience or intelligence is an unintelligible fantasy [Dummett]
     Full Idea: The existence of a universe from which sentience was permanently absent is an unintelligible fantasy. What exists is what can be known to exist. What is true is what can be known to be true. Reality is what can be experienced and known.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: This strikes me as nonsense. The fact that we cannot think about a universe without introducing a viewpoint does not mean that we cannot 'intellectually imagine' its existence devoid of viewpoints. Nothing could ever experience a star's interior.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verification is not an individual but a collective activity [Dummett]
     Full Idea: Verification is not an individual but a collective activity.
     From: Michael Dummett (Truth and the Past [2001], 3)
     A reaction: This generates problems. Are deceased members of the community included? (Yes, says Dummett). If someone speaks to angels (Blake!), do they get included? Is a majority necessary? What of weird loners? Etc.
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth-condition theorists must argue use can only be described by appeal to conditions of truth [Dummett]
     Full Idea: To demonstrate the necessity of a truth-conditional theory of meaning, a proponent of such a theory must argue that use cannot be described without appeal to the conditions for the truth of statements.
     From: Michael Dummett (Truth and the Past [2001], 1)
     A reaction: Unlike Dummett, I find that argument rather appealing. How do you decide the possible or appropriate use for a piece of language, if you don't already know what it means. Basing it all on social conventions means it could be meaningless ritual.
The truth-conditions theory must get agreement on a conception of truth [Dummett]
     Full Idea: It is not enough for the truth-condition theorist to argue that we need the concept of truth: he must show that we should have the same conception of truth that he has.
     From: Michael Dummett (Truth and the Past [2001], 2)
     A reaction: Davidson invites us to accept Tarski's account of truth. It invites the question of what the theory would be like with a very robust correspondence account of truth, or a flabby rather subjective coherence view, or the worst sort of pragmatic view.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Most people think virtues can be displayed in bad actions [Foot]
     Full Idea: Hardly anyone sees any difficulty in the thought that virtues may sometimes be displayed in bad actions. The courage of the villain can be spoken of as quite unproblematic.
     From: Philippa Foot (Virtues and Vices [1978], III)
     A reaction: She cites Peter Geach as a sole opponent of this view. The courage of the entire German army in WWII seems to fall into this category. The boldness of villains has to impress the virtuous but timid.
Virtues are intended to correct design flaws in human beings [Foot, by Driver]
     Full Idea: A popular view (expressed by Philippa Foot) is that the virtues work to 'correct' for the baser human impulses and motives. …Virtues are solutions to design flaws in human beings.
     From: report of Philippa Foot (Virtues and Vices [1978]) by Julia Driver - The Virtues and Human Nature 1
     A reaction: Quite a plausible thought. Not so much design flaws, though, as natural traits of character that suited hunter gatherers but not modern cosmopolitan capitalists. Driver disagrees.
Actions can be in accordance with virtue, but without actually being virtuous [Foot]
     Full Idea: Some actions are in accordance with virtue without requiring virtue for their performance, whereas others are both in accordance with virtue and such as to show possession of a virtue.
     From: Philippa Foot (Virtues and Vices [1978], p.13)
     A reaction: She cites the case of an honest trader, who is honest because of self-interest. She is disentangling Kant from his daft idea that only dutiful (and reluctant) actions are virtuous. Kant was only thinking of 'in accordance' cases.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Virtues are corrective, to resist temptation or strengthen motivation [Foot]
     Full Idea: The virtues are corrective, each one standing at a point at which there is some temptation to be resisted or deficiency of motivation to be made good.
     From: Philippa Foot (Virtues and Vices [1978], II)
     A reaction: A beautifully simple and accurate observation, which I don't remember meeting in Aristotle (...though she cites him as saying that virtues concern what is difficult for us). Justice and charity are given as examples of inadequate motivation.
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Temperance is not a virtue if it results from timidity or excessive puritanism [Foot]
     Full Idea: In some people temperance is not a virtue, but is rather connected with timidity or with a grudging attitude to the acceptance of good things.
     From: Philippa Foot (Virtues and Vices [1978], III)
     A reaction: Timidity seems right. The grudging attitude may result from some larger doubts about pleasure, which could be plausible.
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Courage overcomes the fears which should be overcome, and doesn't overvalue personal safety [Foot]
     Full Idea: The fears that count against a man's courage are those that we think he should overcome, and among them, in a special class, those that reflect the fact that he values his safety too much.
     From: Philippa Foot (Virtues and Vices [1978], II)
     A reaction: I think that sentence tells us more accurately what courage is than anything in Aristotle's discussion. Ask yourself which of your fears really ought to be overcome, and particularly beware of over-valuing your own safety. But stay safe if you can!
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
Maybe past (which affects us) and future (which we can affect) are both real [Dummett]
     Full Idea: Maybe both the past and the future are real, determined by our current temporal perspective. Past is then events capable of having a causal influence upon events near us, and future is events we can affect, but from which we receive no information.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: This is the Four-Dimensional view, which is opposed to Presentism. Might immediate unease is that it gives encouragement to fortune-tellers, whom I have always dismissed with 'You can't see the future, because it doesn't exist'.
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
The present cannot exist alone as a mere boundary; past and future truths are rendered meaningless [Dummett]
     Full Idea: The idea that only the present is real cannot be sustained. St Augustine pointed out that the present has no duration; it is a mere boundary between past and future, and dependent on them. It also denies truth-value to statements about past or future.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: To defend Presentism, I suspect that one must focus entirely on the activities of consciousness and short-term memory. All truths, of past or future, must refer totally to such mental events. But what could an event be if there is no enduring time?