9 ideas
| 19588 | The highest aim of philosophy is to combine all philosophies into a unity [Novalis] |
| Full Idea: He attains the maximum of a philosopher who combines all philosophies into a single philosophy | |
| From: Novalis (Logological Fragments II [1798], 31) | |
| A reaction: I have found the epigraph for my big book! Recently a few narrowly analytical philosophers have attempted big books about everything (Sider, Heil, Chalmers), and they get a huge round of applause from me. |
| 19598 | Philosophy relies on our whole system of learning, and can thus never be complete [Novalis] |
| Full Idea: Now all learning is connected - thus philosophy will never be complete. Only in the complete system of all learning will philosophy be truly visible. | |
| From: Novalis (Logological Fragments II [1798], 39) | |
| A reaction: Philosophy is evidently the unifying subject, which reveals the point of all the other subjects. It matches my maxim that 'science is the servant of philosophy'. |
| 19586 | Philosophers feed on problems, hoping they are digestible, and spiced with paradox [Novalis] |
| Full Idea: The philosopher lives on problems as the human being does on food. An insoluble problem is an indigestible food. What spice is to food, the paradoxical is to problems. | |
| From: Novalis (Logological Fragments II [1798], 09) | |
| A reaction: Novalis would presumably have disliked Hegel's dialectic, where the best food seems to be the indigestible. |
| 19587 | Philosophy aims to produce a priori an absolute and artistic world system [Novalis] |
| Full Idea: Philosophy ...is the art of producing all our conceptions according to an absolute, artistic idea and of developing the thought of a world system a priori out of the depths of our spirit. | |
| From: Novalis (Logological Fragments II [1798], 19) | |
| A reaction: A lovely statement of the dream of building world systems by pure thought - embodying perfectly the view of philosophy despised by logical positivists and modern logical metaphysicians. The Novalis view will never die! I like 'artistic'. |
| 19597 | Logic (the theory of relations) should be applied to mathematics [Novalis] |
| Full Idea: Ought not logic, the theory of relations, be applied to mathematics? | |
| From: Novalis (Logological Fragments II [1798], 38) | |
| A reaction: Bolzano was 19 when his was written. I presume Novalis would have been excited by set theory (even though he was a hyper-romantic). |
| 18086 | Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher] |
| Full Idea: Weierstrass effectively eliminated the infinitesimalist language of his predecessors. | |
| From: report of Karl Weierstrass (works [1855]) by Philip Kitcher - The Nature of Mathematical Knowledge 10.6 |
| 18092 | Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock] |
| Full Idea: After Weierstrass had stressed the importance of limits, one now needed to be able to prove the existence of such limits. | |
| From: report of Karl Weierstrass (works [1855]) by David Bostock - Philosophy of Mathematics 4.4 | |
| A reaction: The solution to this is found in work on series (going back to Cauchy), and on Dedekind's cuts. |
| 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. |