30 ideas
19735 | Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco] |
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] |
19734 | If value is practical, knowledge is no better than true opinion [Greco] |
19733 | Externalist theories don't explain why knowledge has value [Greco] |
4020 | The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C] |
4002 | My aim is to map the connections between our sense of self and our moral understanding [Taylor,C] |
4006 | I can only be aware of myself as a person who changes by means of my personal history [Taylor,C] |
4003 | Selfhood and moral values are inextricably intertwined [Taylor,C] |
4021 | Willingness to risk life was the constitutive quality of the man of honour [Taylor,C] |
4005 | To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C] |
4004 | Consistency presupposes intrinsic description [Taylor,C] |
4010 | In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C] |
22809 | The social contract sees society as constituted by and for individuals [Taylor,C] |
22811 | Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C] |
22815 | If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C] |
22814 | Our reliance on other people close to us does not imply any political obligations [Taylor,C] |
22812 | For most people the primacy of rights mainly concerns freedom [Taylor,C] |
22810 | A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C] |
22813 | Property is not essential for life, but it may be essential for independence [Taylor,C] |
23417 | If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka] |
4009 | Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C] |