34 ideas
20981 | What justifies reliance on reason? Is it just a tool? Why is it better than blind belief? [Sen] |
20982 | In politics and ethics, scrutiny from different perspectives is essential for objectivity [Sen] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley] |
14240 | The empty set is something, not nothing! [Oliver/Smiley] |
14241 | We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley] |
14242 | Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley] |
14243 | The unit set may be needed to express intersections that leave a single member [Oliver/Smiley] |
14234 | If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley] |
14237 | We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley] |
14245 | Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley] |
14246 | If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley] |
14247 | Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
20990 | Rationality is conformity to reasons that can be sustained even after scrutiny [Sen] |
21005 | A human right is not plausible if public scrutiny might reject it [Sen] |
20983 | The original position insures that the agreements reached are fair [Sen] |
20987 | The veil of ignorance encourages neutral interests, but not a wider view of values [Sen] |
20984 | A social contract limits the pursuit of justice to members of a single society [Sen] |
20986 | A person's voice may count because of their interests, or because of their good sense [Sen] |
21001 | Famines tend to be caused by authoritarian rule [Sen] |
21002 | Effective democracy needs tolerant values [Sen] |
20999 | Democracy as 'government by discussion' now has wide support [Sen] |
20979 | Democracy needs more than some institutions; diverse sections of the people must be heard [Sen] |
20993 | Eradicating smallpox does not impoverish nature [Sen] |
20995 | Capabilities are part of freedom, involving real opportunities [Sen] |
20998 | Freedom can involve capabilities, independence and non-interference [Sen] |
20997 | The need for equality among people arises from impartiality and objectivity [Sen] |
20996 | All modern theories of justice demand equality of something [Sen] |
20988 | Freedom from torture or terrorist attacks is independent of citizenship [Sen] |
20980 | You don't need a complete theory of justice to see that slavery is wrong [Sen] |
20978 | Practical justice concerns not only ideals, but ways to achieve them [Sen] |
20985 | Our institutions should promote justice, rather than embodying it [Sen] |
20994 | We must focus on removing manifest injustice, not just try to design a perfect society [Sen] |
21000 | If justice needs public reasoning, which needs democracy, then justice and democracy are linked [Sen] |