3 ideas
| 8728 | Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer] |
| Full Idea: Mathematics rigorously treated from the point of view of deducing theorems exclusively by means of introspective construction, is called intuitionistic mathematics. It deviates from classical mathematics, which believes in unknown truths. | |
| From: Luitzen E.J. Brouwer (Consciousness, Philosophy and Mathematics [1948]), quoted by Stewart Shapiro - Thinking About Mathematics 1.2 | |
| A reaction: Clearly intuitionist mathematics is a close cousin of logical positivism and the verification principle. This view would be anathema to Frege, because it is psychological. Personally I believe in the existence of unknown truths, big time! |
| 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'). |
| 20746 | One is not born, but rather becomes a woman [Beauvoir] |
| Full Idea: One is not born, but rather becomes a woman. | |
| From: Simone de Beauvoir (The Second Sex [1952], p.301 (or 267)), quoted by Kevin Aho - Existentialism: an introduction 2 'Phenomenology' | |
| A reaction: This has become the principle idea in modern discussions of gender. It divides gender from sex, rather as Locke divided person from human being. It is an abstraction. It is part of the Hegelian-Marxist idea that persons are moulded by culture. |