9 ideas
| 17697 | The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert] |
| Full Idea: The standpoint of pure experience seems to me to be refuted by the objection that the existence, possible or actual, of an arbitrarily large number can never be derived through experience, that is, through experiment. | |
| From: David Hilbert (On the Foundations of Logic and Arithmetic [1904], p.130) | |
| A reaction: Alternatively, empiricism refutes infinite numbers! No modern mathematician will accept that, but you wonder in what sense the proposed entities qualify as 'numbers'. |
| 17698 | Logic already contains some arithmetic, so the two must be developed together [Hilbert] |
| Full Idea: In the traditional exposition of the laws of logic certain fundamental arithmetic notions are already used, for example in the notion of set, and to some extent also of number. Thus we turn in a circle, and a partly simultaneous development is required. | |
| From: David Hilbert (On the Foundations of Logic and Arithmetic [1904], p.131) | |
| A reaction: If the Axiom of Infinity is meant, it may be possible to purge the arithmetic from the logic. Then the challenge to derive arithmetic from it becomes rather tougher. |
| 2534 | Mindless bodies are zombies, bodiless minds are ghosts [Sturgeon] |
| Full Idea: When bodies are conceived without mind, Zombies are the topic; when mind is conceived without bodies, Ghosts are the topic. | |
| From: Scott Sturgeon (Matters of Mind [2000], Intro) | |
| A reaction: Personally I am not too impressed by either possibility. I doubt whether either of them are even logically possible. Can you have a magnet without its magnetism? Can you have magnetism with no magnet? |
| 2537 | Types are properties, and tokens are events. Are they split between mental and physical, or not? [Sturgeon] |
| Full Idea: The question is whether mental and physical types (which are properties) are distinct, and whether mental and physical tokens (which are events) are distinct. | |
| From: Scott Sturgeon (Matters of Mind [2000], Intro) | |
| A reaction: Helpful. While the first one gives us the rather dodgy notion of 'property dualism', the second one seems to imply Cartesian dualism, if the events really are distinct. It seems to me that thought is an aspect of brain events, not a distinct event. |
| 2532 | Intentionality isn't reducible, because of its experiential aspect [Sturgeon] |
| Full Idea: The link between Aboutness and consciousness, plus the latter's theoretical recalcitrance, have prevented reduction of the former. | |
| From: Scott Sturgeon (Matters of Mind [2000], Intro) | |
| A reaction: I remain unconvinced that Aboutness (intentionality) has to be wholly (or even partly conscious). We are more interested in our conscious mental states, because those are the ones we can report to other people, and discuss. |
| 2533 | Rule-following can't be reduced to the physical [Sturgeon] |
| Full Idea: If you can't squeeze an 'ought' from an 'is', then the feature of normativity will prevent the reduction of Aboutness. | |
| From: Scott Sturgeon (Matters of Mind [2000], Intro) | |
| A reaction: A dubious argument. Hume's point is that no rational inference will get you from is to ought, but you can get there on a whim. I don't see normativity as being so intrinsically magical that it is irreducible. |
| 2535 | The main argument for physicalism is its simple account of causation [Sturgeon] |
| Full Idea: The dominant empirical argument for physicalism is the Overdetermination Argument: physics is closed and complete, mind is causally efficacious, the world isn't choc-full of overdetermination, so the mind is physical as well. | |
| From: Scott Sturgeon (Matters of Mind [2000], Intro) | |
| A reaction: I find this argument utterly convincing. The idea that there is only one thing which is outside the interconnected causal nexus which seems to constitute the rest of reality, and that is a piece of meat inside our heads, strikes me as totally ridiculous. |
| 2536 | Do facts cause thoughts, or embody them, or what? [Sturgeon] |
| Full Idea: Does a thought relate to its truth conditions like a tree to its age, a bee dance to its target, or smoke to its cause? | |
| From: Scott Sturgeon (Matters of Mind [2000], Intro) | |
| A reaction: Nice question. Is truth the purpose of thoughts, or the cause of thoughts, or the constitution(?) of thoughts? I vote for the bee….but we mustn't confuse truth with truth-conditions. |
| 22086 | The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle] |
| Full Idea: Kierkegaard insisted that the most important aspect of a human being is not reason, but passion. | |
| From: report of Søren Kierkegaard (works [1845]) by Clare Carlisle - Kierkegaard: a guide for the perplexed Intro | |
| A reaction: Hume comes to mind for a similar view, but in character Hume was far more rational than Kierkegaard. |