42 ideas
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
21833 | Research suggest that we overrate conscious experience [Flanagan] |
21834 | Sensations may be identical to brain events, but complex mental events don't seem to be [Flanagan] |
21837 | Morality is normative because it identifies best practices among the normal practices [Flanagan] |
21830 | For Darwinians, altruism is either contracts or genetics [Flanagan] |
21835 | We need Eudaimonics - the empirical study of how we should flourish [Flanagan] |
22849 | Rawls's theory cannot justify liberalism, since it presupposes free and equal participants [Charvet] |
22848 | People with strong prior beliefs would have nothing to do with a veil of ignorance [Charvet] |
22838 | Societies need shared values, so conservatism is right if rational discussion of values is impossible [Charvet] |
22846 | The universalism of utilitarianism implies a world state [Charvet] |
22835 | Liberals value freedom and equality, but the society itself must decide on its values [Charvet] |
22831 | Modern libertarian societies still provide education and some housing [Charvet] |
22839 | Liberalism needs people to either have equal autonomy, or everyone to have enough autonomy [Charvet] |
22847 | Kant places a higher value on the universal rational will than on the people asserting it [Charvet] |
22821 | Liberalism asserts maximum freedom, but that must be equal for all participants [Charvet] |
22834 | Egalitarian liberals prefer equality (either of input or outcome) to liberty [Charvet] |
22822 | Liberals promote community and well-being - because all good societies need them [Charvet] |
22841 | Identity multiculturalism emerges from communitarianism, preferring community to humanity [Charvet] |
22842 | For communitarians it seems that you must accept the culture you are born into [Charvet] |
22830 | Give by ability and receive by need, rather than a free labour market [Charvet] |
21831 | Alienation is not finding what one wants, or being unable to achieve it [Flanagan] |
22829 | Allowing defamatory speech is against society's interests, by blurring which people are trustworthy [Charvet] |
22836 | 'Freedom from' is an empty idea, if the freedom is not from impediments to my desires [Charvet] |
22837 | Positive freedom can lead to coercion, if you are forced to do what you chose to do [Charvet] |
22844 | First level autonomy is application of personal values; second level is criticising them [Charvet] |
22840 | Mere equality, as in two trees being the same height, has no value at all [Charvet] |
22843 | Inequalities are worse if they seem to be your fault, rather than social facts [Charvet] |
22845 | Money allows unlimited inequalities, and we obviously all agree to money [Charvet] |
22828 | The rule of law mainly benefits those with property and liberties [Charvet] |
22826 | From 1701 only parliament could remove judges, whose decisions could not be discussed [Charvet] |
22823 | The rule of law is mainly to restrict governments [Charvet] |
22827 | Justice superior to the rule of law is claimed on behalf of the workers, or the will of the nation [Charvet] |
22825 | The 1689 Bill of Rights denied the monarch new courts, or the right to sit as judge [Charvet] |
22832 | Welfare is needed if citizens are to accept the obligations of a liberal state [Charvet] |
21832 | Buddhists reject God and the self, and accept suffering as key, and liberation through wisdom [Flanagan] |