8 ideas
8011 | Aristotle is a buffoon who has misled the Church [Luther, by MacIntyre] |
Full Idea: Aristotle is a buffoon who has misled the Church. | |
From: report of Martin Luther (talk [1525]) by Alasdair MacIntyre - A Short History of Ethics Ch.10 | |
A reaction: Before he became famous, Luther was a university lecturer on Aristotle. This remark was a hundred years before philosophers began serious criticism of Aristotle. Presumably Protestants just stopped reading him. |
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 Michčle 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. |
12156 | Aesthetics has risen and fallen with Romanticism [Scruton] |
Full Idea: The rise and fall (as we presently perceive them) of aesthetics have been contemporaneous with the rise and fall of Romanticism. | |
From: Roger Scruton (Recent Aesthetics in England and America [1980], p.3) | |
A reaction: Maybe it started a little before Romanticism, as part of the Englightenment aim of being rational about everything, and maybe it survives Romanticism because we want to be scientific about everything. |
12158 | Aesthetic experience informs the world with the values of the observer [Scruton] |
Full Idea: It is possible to conclude that aesthetic experience has a peculiar practical significance: it represents the world as informed by the values of the observer. | |
From: Roger Scruton (Recent Aesthetics in England and America [1980], p.13) | |
A reaction: An excellent remark. If you look at, or listen to, anything, you can make a conscious effort to drain away your personal values (objectivity; science?), or you can consciously flood them with values. But moral and aesthetic vision must differ... |
6609 | With respect to religion, reason is a blind whore [Luther] |
Full Idea: With respect to the mysteries of the Christian religion, reason is a blind whore. | |
From: Martin Luther (talk [1525]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2 | |
A reaction: Reason is presumably a blind whore with respect to all impenetrable mysteries. Since the reason of Aquinas endorsed the mysteries of Christianity, the remark seems a bit strong, but it is appropriate if you think that only faith (in Christianity) matters. |