3 ideas
18465 | An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen] |
Full Idea: R is an equivalence relation on A iff R is reflexive, symmetric and transitive on A. | |
From: Kenneth Kunen (The Foundations of Mathematics (2nd ed) [2012], I.7.1) |
22352 | Out of more than a hundred planets, Earth is the only one with the idea of free will [Vonnegut] |
Full Idea: I wouldn’t have any idea what was meant by ‘free will'. I’ve visited thirty-one inhabited planets in the universe, and studied reports on one hundred more. Only on Earth is there any talk of free will. | |
From: Kurt Vonnegut (Slaughterhouse Five [1969], Ch.4) | |
A reaction: Spoken by the ambassador from the planet Tralfamadore. Possibly the greatest put down of a philosophical idea since Diogenes responded to Plato's definition of a man. I think free will is a non-idea. It is non-sensical, and doesn't exist. |
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'). |