12 ideas
| 8766 | In much wisdom is much grief [Anon (Ecc)] |
| Full Idea: In much wisdom is much grief. | |
| From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 01.18) | |
| A reaction: If this is true, then the question is of what there is in wisdom that will compensate for the grief. Personally I doubt the whole claim. Some wisdom involves grief, but most of it involves pleasure, even when understanding of evil is the target. |
| 23025 | Philosophers should be more inductive, and test results by their conclusions, not their self-evidence [Russell] |
| Full Idea: The progress of philosophy seems to demand that, like science, it should learn to practise induction, to test its premisses by the conclusions to which they lead, and not merely by their apparent self-evidence. | |
| From: Bertrand Russell (Explanations in reply to Mr Bradley [1899], nr end) | |
| A reaction: [from Twitter] Love this. It is 'one person's modus ponens is another person's modus tollens'. I think all philosophical conclusions, without exception, should be reached by evaluating the final result fully, and not just following a line of argument. |
| 7494 | Laughter is mad; of mirth, what doeth it? [Anon (Ecc)] |
| Full Idea: I said of laughter, It is mad: and of mirth, what doeth it? | |
| From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 02.02) | |
| A reaction: Not much of an argument, but an interesting support for the extreme anti-hedonistic puritanical view. Most people would praise laughter as an end in itself, so 'what doeth it?' seems to miss the point. |
| 8767 | Sorrow is better than laughter [Anon (Ecc)] |
| Full Idea: Sorrow is better than laughter: for by the sadness of the countenance the heart is made better. | |
| From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 07.03) | |
| A reaction: This writer fails to see the good in laughter. If he did, he would have a more balanced view, and we could take this opinion more seriously. Theatre audiences always seem keen to hunt out jokes where none are intended. |
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro) |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1) |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3) |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable). | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4) | |
| A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem]. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1) | |
| A reaction: Each expansion brings a limitation, but then you can expand again. |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4) |
| 8765 | All is vanity, saith the Preacher [Anon (Ecc)] |
| Full Idea: Vanity of vanities, saith the Preacher, vanity of vanities; all is vanity. | |
| From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 01.02) | |
| A reaction: If we are swamped by vanity, then there is presumably no hope for the other virtues. A more balanced view would say that we should aim for a mean on the scale of self-esteem, which probably requires an effort to be objective about ourselves. |
| 8768 | Books are endless, and study is wearisome [Anon (Ecc)] |
| Full Idea: Of making many books there is no end; and much study is weariness of the flesh. | |
| From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 12.12) | |
| A reaction: Does anyone share my occasional sinking heart on entering a large library or bookshop? I truly believe that there is nothing better in the world than books. And yet, and yet... |