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. |
20057 | Philosophy of action studies the roles of psychological states in causing behaviour [Mele] |
Full Idea: The central task of the philosophy of action is the exploration of the roles played by a collection of psychological states in the etiology of intentional behaviour. | |
From: Alfred R. Mele (Springs of Action [1992], p.3), quoted by Rowland Stout - Action 5 'Psychological' | |
A reaction: Stout glosses this as a rather distinctive view, which endorses the causal theory of action (as opposed to citing reasons and justifications for actions). A key debate is whether the psychological inputs really do cause the outputs. |
3029 | Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius] |
Full Idea: Stilpo asked a man whether Athena is the daughter of Zeus, and when he said yes, said,"But this statue of Athena by Phidias is the child of Phidias, so it is not a god." | |
From: report of Stilpo (fragments/reports [c.330 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.10.5 |