3 ideas
14248 | We could accept the integers as primitive, then use sets to construct the rest [Cohen] |
Full Idea: A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities. | |
From: Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For? | |
A reaction: I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world. |
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'). |
21994 | The handmill gives feudalism, the steam mill capitalism [Marx] |
Full Idea: The handmill gives you society with the feudal lord; the steam mill society with the industrial capitalist. | |
From: Karl Marx (The Poverty of Philosophy [1847], p.202), quoted by Peter Singer - Marx 7 | |
A reaction: If technology dictates social structure, then feudalism is still with us, in low-tech industries. What if the steam mill had been invented in 1300? |