3 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. |
| 21338 | I will even consider changing a meaning to save a law; I question the meaning-fact cleavage [Quine] |
| Full Idea: I am not concerned even to avoid the trivial extreme of sustaining a law by changing a meaning; for the cleavage between meaning and fact is part of what ...I am questioning. | |
| From: Willard Quine (Letters [1962], 1962.06.01) | |
| A reaction: [Letter to Adolf Grünbaum. Found on Twitter] A strikingly helpful expression of his position by Quine. We should take about the 'meaning/fact distinction' in order to understand clearly what is going on here. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |