6 ideas
17606 | Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline] |
Full Idea: The axiomatic method ....revealed precisely what assumptions underlie each branch [of mathematics] and made possible the comparison and clarification of the relationships of various branches. | |
From: Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3 | |
A reaction: I take this to be the 'fruitfulness' which marks out the discovery of the essence of something. |
16007 | I assume existence, rather than reasoning towards it [Kierkegaard] |
Full Idea: I always reason from existence, not towards existence. | |
From: Søren Kierkegaard (Philosophical Fragments [1844], p.40) | |
A reaction: Kierkegaard's important premise to help show that theistic proofs for God's existence don't actually prove existence, but develop the content of a conception. [SY] |
16013 | Nothing necessary can come into existence, since it already 'is' [Kierkegaard] |
Full Idea: Can the necessary come into existence? That is a change, and everything that comes into existence demonstrates that it is not necessary. The necessary already 'is'. | |
From: Søren Kierkegaard (Philosophical Fragments [1844], p.74) | |
A reaction: [SY] |
7276 | All art is quite useless [Wilde] |
Full Idea: All art is quite useless. | |
From: Oscar Wilde (Preface to 'Dorian Gray' [1891]) | |
A reaction: Echoes Kant's thought that art is 'purposive without purpose'. Although I find Wilde's claims that morality has nothing to do with art to be naïve, I find this remark sympathetic. Art may play with moral feelings, but is unlikely to affect actions. |
7274 | Books are only well or badly written, not moral or immoral [Wilde] |
Full Idea: There is no such thing as a moral or an immoral book. Books are well written, or badly written. That is all. | |
From: Oscar Wilde (Preface to 'Dorian Gray' [1891]) | |
A reaction: This is simply false. Novels that are viciously (or subtly) racist, sexist, homophobic, or egotistical can obviously be immoral. I could write a nasty story about Oscar Wilde. It might, though, be very well written. If life is moral, so are novels. |
7275 | Having ethical sympathies is a bad mannerism of style in an artist [Wilde] |
Full Idea: No artist has ethical sympathies. An ethical sympathy in an artist is an unpardonable mannerism of style. | |
From: Oscar Wilde (Preface to 'Dorian Gray' [1891]) | |
A reaction: This has a Nietzschean suggestion that the artist is 'beyond good and evil', and operates on some higher level of values, which in Wilde's case seem to be purely aesthetic. You can't justify a callous murder by executing it beautifully. |