5 ideas
| 13190 | I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz] |
| Full Idea: Notwithstanding my infinitesimal calculus, I do not admit any real infinite numbers, even though I confess that the multitude of things surpasses any finite number, or rather any number. ..I consider infinitesimal quantities to be useful fictions. | |
| From: Gottfried Leibniz (Letters to Samuel Masson [1716], 1716) | |
| A reaction: With the phrase 'useful fictions' we seem to have jumped straight into Harty Field. I'm with Leibniz on this one. The history of mathematics is a series of ingenious inventions, whenever they seem to make further exciting proofs possible. |
| 3583 | External objects are permanent possibilities of sensation [Mill] |
| Full Idea: External objects are permanent possibilities of sensation. | |
| From: John Stuart Mill (Examination of Sir Wm Hamilton's Philosophy [1865]), quoted by Michael Williams - Problems of Knowledge Ch.9 |
| 3537 | I judge others' feeling by analogy with my body and behaviour [Mill] |
| Full Idea: I conclude other humans have feelings like me because they have bodies like mine (which I know in my case to be antecedent to feelings), and because they exhibit acts and outwards signs which I know in my own case to be caused by feelings. | |
| From: John Stuart Mill (Examination of Sir Wm Hamilton's Philosophy [1865], p.243), quoted by Keith T. Maslin - Introduction to the Philosophy of Mind 8.2 | |
| A reaction: It is hard to see anything further that can be added to the 'other minds' question. Behaviour is highly relevant (imagine meeting a human who talked like a robot), but so are bodies (imagine a tin box that talked like Marilyn Monroe). |
| 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. |