8 ideas
| 12036 | Xenophanes began the concern with knowledge [Annas] |
| Full Idea: Xenophanes begins a long concern with knowledge and its grounds. | |
| From: Julia Annas (Ancient Philosophy: very short introduction [2000], Intro) | |
| A reaction: Having that on his cv ought to make Xenophanes more famous than he is. |
| 12046 | Plato was the first philosopher who was concerned to systematize his ideas [Annas] |
| Full Idea: In the ancient world Plato was seen as a pivotal figure, the first philosopher who was concerned to systematize his ideas. | |
| From: Julia Annas (Ancient Philosophy: very short introduction [2000], Ch.6) |
| 9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
| Full Idea: The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions. | |
| From: report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5 | |
| A reaction: This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics. |
| 3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
| Full Idea: For Zermelo's set theory the empty set is zero and the successor of each number is its unit set. | |
| From: report of Ernst Zermelo (works [1920]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280 |
| 12037 | Euripides's Medea is a key case of reason versus the passions [Annas] |
| Full Idea: Euripides's Medea has remained a key case for discussion of reason and the passions. | |
| From: Julia Annas (Ancient Philosophy: very short introduction [2000], Ch.1) |
| 12040 | Virtue is a kind of understanding of moral value [Annas] |
| Full Idea: There is a widespread view in ancient ethics that virtue is a kind of understanding of moral value. | |
| From: Julia Annas (Ancient Philosophy: very short introduction [2000], Ch.3) | |
| A reaction: In Aristotle's case, this coincides with his apparent view that 'understanding' is the aim of all areas of human thought. See Idea 12038. |
| 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. |