5 ideas
| 15927 | Definition just needs negation, known variables, conjunction, disjunction, substitution and quantification [Weyl, by Lavine] |
| Full Idea: For mathematics, Weyl arrived (by 1917) at a satisfactory list of definition principles: negation, identification of variables, conjunction, disjunction, substitution of constants, and existential quantification over the domain. | |
| From: report of Hermann Weyl (works [1917]) by Shaughan Lavine - Understanding the Infinite V.3 | |
| A reaction: Lavine summarises this as 'first-order logic with parameters'. |
| 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. |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |