5 ideas
9390 | 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. |
9389 | 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. |
20945 | Belief is no more rational than is tasting and smelling [Hamann] |
Full Idea: Belief happens as little in terms of reasons as tasting and smelling. | |
From: J.G. Hamann (works [1770], v2:74), quoted by Andrew Bowie - Introduction to German Philosophy | |
A reaction: That is one idea definitively expressed! I take it as only a partial truth. Beliefs happen as a result of observation and experience. But someone can draw our attention to something (and we can hunt it out ourselves), which is giving a reason for belief. |
23832 | We both desire what is beautiful, and want it to remain as it is [Weil] |
Full Idea: Everything beautiful is the object of desire but one desires that it be not otherwise, that it be unchanged, that it be exactly what it is. | |
From: Simone Weil (Prerequisite to Dignity of Labour [1941], p.268) | |
A reaction: This seems to be mostly true, though I don't think it reveals the essence of beauty. I might love a particular landscape, but want to plant a carefully place tree within it. Or change one or two words in a great poem. |
7666 | God is not a mathematician, but a poet [Hamann, by Berlin] |
Full Idea: Hamann's fundamental doctrine was that God was not a geometer, not a mathematician, but a poet. | |
From: report of J.G. Hamann (works [1770]) by Isaiah Berlin - The Roots of Romanticism Ch.3 | |
A reaction: [This idea is wonderfully expressed by D.H.Lawrence in his poem 'Red Geranium and Godly Mignonette]. The idea becomes attractive when you ask whether God would need to do mathematics. |