6 ideas
| 3269 | If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel] |
| Full Idea: Those seeking to give their lives meaning usually envision a role in something larger than themselves, …but such a role can't confer significance unless that enterprise is itself significant. | |
| From: Thomas Nagel (The Absurd [1971], §3) | |
| A reaction: Which correctly implies that this way of finding meaning for one's life is doomed. |
| 21554 | Sets always exceed terms, so all the sets must exceed all the sets [Lackey] |
| Full Idea: Cantor proved that the number of sets in a collection of terms is larger than the number of terms. Hence Cantor's Paradox says the number of sets in the collection of all sets must be larger than the number of sets in the collection of all sets. | |
| From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
| A reaction: The sets must count as terms in the next iteration, but that is a normal application of the Power Set axiom. |
| 21553 | It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey] |
| Full Idea: The ordinal series is well-ordered and thus has an ordinal number, and a series of ordinals to a given ordinal exceeds that ordinal by 1. So the series of all ordinals has an ordinal number that exceeds its own ordinal number by 1. | |
| From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
| A reaction: Formulated by Burali-Forti in 1897. |
| 21982 | I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L] |
| Full Idea: "I see nobody on the road," said Alice. - "I only wish I had such eyes," the King remarked. ..."To be able to see Nobody! ...Why, it's as much as I can do to see real people." | |
| From: Lewis Carroll (C.Dodgson) (Through the Looking Glass [1886], p.189), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7 | |
| A reaction: [Moore quotes this, inevitably, in a chapter on Hegel] This may be a better candidate for the birth of philosophy of language than Frege's Groundwork. |
| 3270 | Justifications come to an end when we want them to [Nagel] |
| Full Idea: Justifications come to an end when we are content to have them end. | |
| From: Thomas Nagel (The Absurd [1971], §3) | |
| A reaction: This is the correct account, with the vital proviso that where justification comes to an end is usually a social matter. Robinson Crusoe doesn't care whether he 'knows' - he just acts on his beliefs. |
| 3268 | If a small brief life is absurd, then so is a long and large one [Nagel] |
| Full Idea: If life is absurd because it only lasts seventy years, wouldn't it be infinitely absurd if it lasted for eternity? And if we are absurd because we are small, would we be any less absurd if we filled the universe? | |
| From: Thomas Nagel (The Absurd [1971], §1) |