4 ideas
9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space. | |
From: Tyler Burge (Frege on Apriority [2000], IV) | |
A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics. |
22725 | When players don't meet again, defection is the best strategy [Axelrod] |
Full Idea: When players will never meet again, the strategy of defection is the only stable strategy. | |
From: Robert Axelrod (The Evolution of Co-Operation [1984], 5) | |
A reaction: This gives good grounds for any community's mistrust of transient strangers, such as tourists. And yet any sensible tourist will want communities to trust tourists, and will therefore behave in a reliable way. |
22724 | Good strategies avoid conflict, respond to hostility, forgive, and are clear [Axelrod] |
Full Idea: Successful game strategies avoid unnecessary conflict, are provoked by an uncalled for defection, forgive after a provocation, and behave clearly so the other player can adapt. | |
From: Robert Axelrod (The Evolution of Co-Operation [1984], 1) | |
A reaction: [compressed] Exactly what you would expect from a nice but successful school teacher. The strategies for success in these games is the same as the rules for educating a person into cooperative behaviour. TIT FOR TAT does all these. |
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'). |