7 ideas
| 6602 | Philosophy is like a statue which is worshipped but never advances [Bacon] |
| Full Idea: Philosophy and the intellectual sciences stand like statues, worshipped and celebrated, but not moved or advanced. | |
| From: Francis Bacon (Preface to Great Instauration (Renewal) [1620], Vol.4.14), quoted by Robert Fogelin - Walking the Tightrope of Reason Ch.5 | |
| A reaction: Still the view of most scientists, I suspect. Personally I disagree, because I think philosophy has made enormous advances, in accurate analysis of arguments. The trouble is there is so much of it that it is hard to discern, and we don't live long enough. |
| 18085 | Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy] |
| Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit. | |
| From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4 | |
| A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely. |
| 18084 | When successive variable values approach a fixed value, that is its 'limit' [Cauchy] |
| Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others. | |
| From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4 | |
| A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction? |
| 16724 | The senses deceive, but also show their own errors [Bacon] |
| Full Idea: It is certain that the senses deceive, but they also testify to their own errors. | |
| From: Francis Bacon (Preface to Great Instauration (Renewal) [1620], p.32), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 22.1 | |
| A reaction: Nice. This is the empiricist view, rather than the rationalist line that reason sorts out the mess created by the senses. Most people know things if you just show them. |
| 6603 | Nature is revealed when we put it under pressure rather than observe it [Bacon] |
| Full Idea: The secrets of nature reveal themselves more readily under the vexations of art than when they go their own way. | |
| From: Francis Bacon (Preface to Great Instauration (Renewal) [1620], Vol.4.95), quoted by Robert Fogelin - Walking the Tightrope of Reason Ch.5 | |
| A reaction: This is a splendid slogan for the dawn of the age of science, and pinpoints the reason why we have advanced so much further than the Greeks. You can, of course, overdo the 'vexations of art'. It also justifies the critical approach to philosophy. |
| 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. |