7 ideas
| 17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
| Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers. | |
| From: Nicholas P. White (What Numbers Are [1974], V) |
| 17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
| Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege. | |
| From: Nicholas P. White (What Numbers Are [1974], IV) | |
| A reaction: [He adds Quine 1960:268 as a reference] |
| 6383 | Cause unites our picture of the universe; without it, mental and physical will separate [Davidson] |
| Full Idea: The concept of cause is what holds together our picture of the universe, a picture that would otherwise disintegrate into a diptych of the mental and the physical. | |
| From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xi) | |
| A reaction: Davidson seems to be the one who put mental causation at the centre of philosophy. By then denying that there are any 'psycho-physical' laws, he seems to me to have re-opened the metaphysical gap he says he was trying to close. |
| 6385 | The causally strongest reason may not be the reason the actor judges to be best [Davidson] |
| Full Idea: I defend my causal view of action by arguing that a reason that is causally strongest need not be a reason deemed by the actor to provide the strongest (best) grounds for acting. | |
| From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xii) | |
| A reaction: If I smoke a cigarette against my better judgement, it is not clear to me how the desire to smoke it, which overcomes my judgement not to smoke it, counts as the causally strongest 'reason'. We seem to have two different senses of 'reason' here. |
| 6384 | The notion of cause is essential to acting for reasons, intentions, agency, akrasia, and free will [Davidson] |
| Full Idea: My thesis is that the ordinary notion of cause is essential to understanding what it is to act with a reason, to have an intention to act, to be an agent, to act counter to one's own best judgement, or to act freely. | |
| From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xi) | |
| A reaction: I cautiously agree, particularly with idea that causation is essential to acting as an agent. Since I believe 'free will' to be a complete delusion, that part of his thesis doesn't interest me. The hard part is understanding acting for a reason. |
| 9111 | God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham] |
| Full Idea: God is not wise, but more-than-wise; God is not good, but more-than-good. | |
| From: William of Ockham (Reportatio [1330], III Q viii) | |
| A reaction: [He is quoting 'Damascene'] I quote this for interest, but I very much doubt whether Damascene or William knew what it meant, and I certainly don't. There seems to have been a politically correct desire to invent super-powers for God. |
| 9112 | We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham] |
| Full Idea: What we abstract is said to belong to perfection in so far as it can be predicated of God and can stand for Him. For if such a concept could not be abstracted from a creature, then in this life we could not arrive at a cognition of God's wisdom. | |
| From: William of Ockham (Reportatio [1330], III Q viii) | |
| A reaction: This seems to be the germ of an important argument. Without the ability to abstract from what is experienced, we would not be able to apply general concepts to things which are beyond experience. It is a key idea for empiricism. |