5 ideas
| 8693 | An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos] |
| Full Idea: Hume's Principle has a structure Boolos calls an 'abstraction principle'. Within the scope of two universal quantifiers, a biconditional connects an identity between two things and an equivalence relation. It says we don't care about other differences. | |
| From: George Boolos (Is Hume's Principle analytic? [1997]), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 3.7 | |
| A reaction: This seems to be the traditional principle of abstraction by ignoring some properties, but dressed up in the clothes of formal logic. Frege tries to eliminate psychology, but Boolos implies that what we 'care about' is relevant. |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |
| 20696 | We can approach knowledge of God by negative attributes [Maimonides] |
| Full Idea: You will come nearer to the knowledge and comprehension of God by the negative attributes. | |
| From: Moses Maimonides (The Guide of the Perplexed [1190], p.86), quoted by Brian Davies - Introduction to the Philosophy of Religion 2 'Negation' | |
| A reaction: Illustrated by grasping what a ship is by eliminating other categories it might belong to. The assumption is that you have a known and finite list - something like Aristotle's categories. Maimonides fears we know too little for positive attributes. |
| 19085 | Thinking of God as resembling humans results from a bad translation of Genesis 1:26 [Maimonides] |
| Full Idea: Mistranslation of 'image' has been the cause of a crass anthropomorphism because of the verse 'Let us make man in Our image after Our likeness' (Gen.1:26). They think God has the shape and outline of man, ..with face and hands like themselves. | |
| From: Moses Maimonides (The Guide of the Perplexed [1190], I.1) | |
| A reaction: It's interesting that Michelangelo still visualises God as an old man. The idea won't go away, presumably because God is understood as a 'person', in Locke's sense, though of a very special kind. |