Combining Philosophers

All the ideas for Archimedes, Helen Cartwright and Robert Axelrod

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4 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
10670 A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
     Full Idea: Helen Cartwright calls 'a number of' a 'singulariser', an expression whose linguistic function is to convert to a syntactically neutral form an expression whose semantic value remains plural. It is a great convenience grammatically.
     From: report of Helen Cartwright (On Plural Reference and Set Theory [1993]) by Keith Hossack - Plurals and Complexes 2
     A reaction: Compare Hofweber's Idea 10004, suggesting it is a crucial psychological convenience for reasoning, as well as a 'grammatical' convenience.
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
23. Ethics / B. Contract Ethics / 8. Contract Strategies
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.