4 ideas
| 10051 | The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M] |
| Full Idea: There is something profoundly unsatisfactory about the axiom of infinity. It cannot be described as a truth of logic in any reasonable use of that phrase, and so the introduction of it as a primitive proposition amounts to the abandonment of logicism. | |
| From: W Kneale / M Kneale (The Development of Logic [1962], XI.2) | |
| A reaction: It seems that the axiom is essentially empirical, and it certainly makes an existential claim which seems to me (intuitively) to have nothing to do with logic at all. |
| 19440 | How do you know you have conceived a thing deeply enough to assess its possibility? [Vaidya] |
| Full Idea: The main issue with learning possibility from conceivability concerns how we can be confident that we have conceived things to the relevant level of depth required for the scenario to actually be a presentation or manifestation of a genuine possibility. | |
| From: Anand Vaidya (The Epistemology of Modality [2015], 1.2.2) | |
| A reaction: [He cites Van Inwagen 1998 for this idea] The point is that ignorant imagination can conceive of all sorts of absurd things which are seen to be impossible when enough information is available. We can hardly demand a criterion for this. |
| 23304 | The ancient Memorists said virtually all types of thinking could be done simply by memory [Sorabji] |
| Full Idea: The ancient medical Memorists said that ordinary thinking, inferring, reflecting, believing, assuming, examining, generalising and knowing can all be done simply on the basis of memory. | |
| From: Richard Sorabji (Rationality [1996], 'Inference') | |
| A reaction: The think there is a plausible theory that all neurons do is remember, and are mainly distinguished by the duration of their memories. We might explain these modes of thinking in terms of various combinations of the fast and the slow. |
| 23303 | Stoics say true memory needs reflection and assent, but animals only have perceptual recognition [Sorabji] |
| Full Idea: Stoics say memory proper involves reflection and assent. Animal memory, by contrast, is not memory proper, but mere perceptual recognition. The horse remembers the road when he is on it, but not when he is in the stable. | |
| From: Richard Sorabji (Rationality [1996], 'Other') | |
| A reaction: An interesting distinction. Do I remember something if I can never recall it, and yet recognise it when it reappears, such as a person I knew long ago? 'Memory' is ambiguous, between lodged in the mind, and recallable. Unfair to horses, this. |