4 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'. |
20525 | Free markets lead to boom and bust, pointless middlemen, and alienated workers [Engels] |
Full Idea: Free markets inevitably lead to unemployment and ruined businesses, when the capitalist market is punctuated by a 'trade cycle' of boom and bust. .. There are speculating, swindling middlemen. ...and the nature of work is degrading and alienated. | |
From: Friedrich Engels (Speeches in Elberfeld [1849]), quoted by Jonathan Wolff - An Introduction to Political Philosophy (Rev) 5 'Arguments' | |
A reaction: [compression of Wolff's summary] Wolff observes that middlemen are heroes to lovers of the market. The idea of alienation seems to be that everyone should be in charge of their own work. That may approach anarchy. |
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. |