9 ideas
| 23877 | Most people won't question an idea's truth if they depend on it [Weil] |
| Full Idea: The majority of human beings do not question the truth of an idea without which they would literally be unable to live. | |
| From: Simone Weil (Is There a Marxist Doctrine? [1943], p.163) | |
| A reaction: I assume that this inability grows stronger with age, as the dependence on the idea runs deeper. Hence for most people the beliefs which sustain them have a higher value than truth. Obviously we should all make love of truth our guiding idea! |
| 8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
| Full Idea: Hilbert wanted to derive ideal mathematics from the secure, paradox-free, finite mathematics (known as 'Hilbert's Programme'). ...Note that for the realist consistency is not something we need to prove; it is a precondition of thought. | |
| From: report of David Hilbert (works [1900], 6.7) by Michèle Friend - Introducing the Philosophy of Mathematics | |
| A reaction: I am an intuitive realist, though I am not so sure about that on cautious reflection. Compare the claims that there are reasons or causes for everything. Reality cannot contain contradicitions (can it?). Contradictions would be our fault. |
| 10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
| Full Idea: The solid philosophical attitude that I think is required for the grounding of pure mathematics is this: In the beginning was the sign. | |
| From: David Hilbert (works [1900]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6 | |
| A reaction: Why did people invent those particular signs? Presumably they were meant to designate something, in the world or in our experience. |
| 10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
| Full Idea: Hilbert replaced a semantic construal of inconsistency (that the theory entails a statement that is necessarily false) by a syntactic one (that the theory formally derives the statement (0 =1 ∧ 0 not-= 1). | |
| From: report of David Hilbert (works [1900]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6 | |
| A reaction: Finding one particular clash will pinpoint the notion of inconsistency, but it doesn't seem to define what it means, since the concept has very wide application. |
| 10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
| Full Idea: Hilbert's project was to establish the consistency of classical mathematics using just finitary means, to convince all parties that no contradictions will follow from employing the infinitary notions and reasoning. | |
| From: report of David Hilbert (works [1900]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6 | |
| A reaction: This is the project which was badly torpedoed by Gödel's Second Incompleteness Theorem. |
| 23878 | Weakness of will is the inadequacy of the original impetus to carry through the action [Weil] |
| Full Idea: It is naïve to be astonished when we do not stick to firm resolutions. Something stimulated the resolution, but that something was not powerful enough to bring us to the point of carrying it out. Making the resolution may even have exhausted the stimulus. | |
| From: Simone Weil (Is There a Marxist Doctrine? [1943], p.169) | |
| A reaction: Socrates says it is a change of belief. Aristotle says it is a desire overcoming a belief. Weil gives a third way: that it is a fading in the strength of the original belief/desire impetus. |
| 23879 | In a violent moral disagreement, it can't be that both sides are just following social morality [Weil] |
| Full Idea: If two men are in violent disagreement about good and evil, it is hard to believe that both of them are blindly subject to the opinion of the society around them. | |
| From: Simone Weil (Is There a Marxist Doctrine? [1943], p.171) | |
| A reaction: What a beautifully simple observation. Simone would have become a major figure if she had lived longer. No philosopher has ever written better prose. |
| 5655 | Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton] |
| Full Idea: For Bradley, the happiness of the individual is not to be understood in terms of his desires and needs, but rather in terms of his values - which is to say, in terms of those of his desires which he incorporates into his self. | |
| From: report of F.H. Bradley (Ethical Studies [1876]) by Roger Scruton - Short History of Modern Philosophy Ch.16 | |
| A reaction: Good. Bentham will reduce the values to a further set of desires, so that a value is a complex (second-level?) desire. I prefer to think of values as judgements, but I like Scruton's phrase of 'incorporating into his self'. Kant take note (Idea 1452). |
| 23880 | When war was a profession, customary morality justified any act of war [Weil] |
| Full Idea: At the time when war was a profession, fighting men had a morality whereby any act of war, in accordance with the customs of war, and contributing to victory, was legitimate and right. | |
| From: Simone Weil (Is There a Marxist Doctrine? [1943], p.173) | |
| A reaction: Note the caveat about 'customs', which were largely moral. See the discussion of killing the non-combatant prisoners in Shakespeare's 'Henry V'. |