7 ideas
| 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. |
| 23395 | Mohists desire wealth, population and social order as the best consequences [Mozi, by Norden] |
| Full Idea: The consequentialist Mohists give a fairly objective characterisation of benefits as wealth, populousness, and social order, and harm as poverty, depopulation, and social chaos. | |
| From: report of Mozi (The Mozi [c.440 BCE]) by Bryan van Norden - Intro to Classical Chinese Philosophy 4.I | |
| A reaction: That is a formula favoured by many authoritarian leaders in modern times. |
| 23394 | If people regarded other states as they did their own, they would never attack them [Mozi] |
| Full Idea: If people regarded other people's states in the same way that they regard their own, who then would incite their own state to attack that of another? | |
| From: Mozi (The Mozi [c.440 BCE], 16), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 4.I | |
| A reaction: A nice case of the application of golden rule thinking to states, instead of to individuals. I can't see Putin (in 2022) being impressed by 'how would you like it if another country invaded Russia?'. The Golden Rule is an analogy argument. |
| 15640 | Courage is not a virtue, but the form of every virtue at its testing point [Lewis,CS] |
| Full Idea: Courage is not simply one of the virtues, but the form of every virtue at the testing point. | |
| From: C.S. Lewis (works [1950]) | |
| A reaction: This appeared on Twitter, without mention of its source. Adding it breaks my normal rules, but I hope you agree that it is too good to miss. Is not even resolutely facing up to suffering or death a case of genuine courage? Determination, prioritisation? |
| 23396 | Mozi condemns partiality, which is the cause of all the great harms in the world [Mozi] |
| Full Idea: It is those who are partial in their dealings with others who are the real cause of all the great harms in the world. That is why our teacher Mozi says 'I condemn partiality'. | |
| From: Mozi (The Mozi [c.440 BCE], 16), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 4.II | |
| A reaction: This is morality as the rule of law, rather than as the result of human affections. He is on the same wavelength as Kant. Mozi was criticising Confucius, who favoured family over strangers. |
| 23397 | Those who are against impartiality still prefer impartial protectors [Mozi] |
| Full Idea: Even though one may not advocate impartiality, one would certainly want to entrust one's family to the person who is impartial. | |
| From: Mozi (The Mozi [c.440 BCE], 16), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 4.II | |
| A reaction: In the modern world his example would be the police, so he effectively he wants the impartiality of the law. But who wants legal impartiality within the affairs of a family? |