4 ideas
| 15923 | Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine] |
| Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects. | |
| From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite |
| 22014 | Consciousness is not entirely representational, because there are pains, and the self [Schulze, by Pinkard] |
| Full Idea: Schulze said Reinhold and Kant violated their own theory with the thing-in-itself, and that Reinhold was wrong that all consciousnes is representational (since pain isn't), and the self can't represent itself without a regress. | |
| From: report of Gottlob Schulze (Aenesidemus [1792]) by Terry Pinkard - German Philosophy 1760-1860 05 | |
| A reaction: [my compressed version] This article demolished Reinhold, which is a shame, because if he had responded constructively to these criticisms he might have reached be best theory of his age. These are analytic style objections, by counterexample. |
| 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. |