8 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'. |
| 18702 | Names, descriptions and predicates refer to things; without that, language and thought are baffling [Davidson] |
| Full Idea: The simple thesis that names and descriptions often refer to things, and that predicates often have an extension in the world of things, is obvious, and essential to the most elementary appreciation of both language and the thoughts we express. | |
| From: Donald Davidson (Replies to Critics [1998], p.323) | |
| A reaction: In 1983 Davidson had been a rare modern champion of the coherence theory of truth, but this is his clearest later renunciation of that view (and quite right too). |
| 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). |
| 12427 | All of mathematics is properties of the whole numbers [Kronecker] |
| Full Idea: All the results of significant mathematical research must ultimately be expressible in the simple forms of properties of whole numbers. | |
| From: Leopold Kronecker (works [1885], Vol 3/274), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 09.5 | |
| A reaction: I've always liked Kronecker's line, but I'm beginning to realise that his use of the word 'number' is simply out-of-date. Natural numbers have a special status, but not sufficient to support this claim. |
| 10091 | God made the integers, all the rest is the work of man [Kronecker] |
| Full Idea: God made the integers, all the rest is the work of man. | |
| From: Leopold Kronecker (works [1885]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Intro | |
| A reaction: This famous remark was first quoted in Kronecker's obituary. A response to Dedekind, it seems. See Idea 10090. Did he really mean that negative numbers were the work of God? We took a long time to spot them. |