101 ideas
21979 | Wisdom emerges at the end of a process [Hegel] |
22766 | Philosophy is exploration of the rational [Hegel] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
22768 | Subjective and objective are not firmly opposed, but merge into one another [Hegel] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
18826 | 'True at a possibility' means necessarily true if what is said had obtained [Rumfitt] |
18803 | Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt] |
18814 | 'Absolute necessity' would have to rest on S5 [Rumfitt] |
18798 | It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt] |
18799 | Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt] |
10807 | Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis] |
18830 | Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt] |
10809 | We can accept the null set, but not a null class, a class lacking members [Lewis] |
10811 | The null set plays the role of last resort, for class abstracts and for existence [Lewis] |
10812 | The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis] |
10813 | What on earth is the relationship between a singleton and an element? [Lewis] |
10814 | Are all singletons exact intrinsic duplicates? [Lewis] |
18843 | The iterated conception of set requires continual increase in axiom strength [Rumfitt] |
18836 | A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt] |
18837 | A set can be determinate, because of its concept, and still have vague membership [Rumfitt] |
18845 | If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt] |
10806 | Megethology is the result of adding plural quantification to mereology [Lewis] |
18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt] |
18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
18827 | If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt] |
18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
18808 | Normal deduction presupposes the Cut Law [Rumfitt] |
18840 | When faced with vague statements, Bivalence is not a compelling principle [Rumfitt] |
18802 | In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt] |
10816 | We can use mereology to simulate quantification over relations [Lewis] |
18800 | Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt] |
18809 | Logical truths are just the assumption-free by-products of logical rules [Rumfitt] |
18807 | Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt] |
18842 | Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt] |
18834 | Infinitesimals do not stand in a determinate order relation to zero [Rumfitt] |
18846 | Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt] |
10808 | Mathematics is generalisations about singleton functions [Lewis] |
10815 | We don't need 'abstract structures' to have structural truths about successor functions [Lewis] |
22772 | Personality overcomes subjective limitations and posits Dasein as its own [Hegel] |
18839 | An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt] |
18838 | The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt] |
10810 | I say that absolutely any things can have a mereological fusion [Lewis] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
18824 | Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt] |
18828 | If two possibilities can't share a determiner, they are incompatible [Rumfitt] |
18821 | Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt] |
18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
22780 | It is a rejection of intellectual dignity to say that we cannot know the truth [Hegel] |
22770 | A person is a being which is aware of its own self-directed and free subjectivity [Hegel] |
22788 | A human only become a somebody as a member of a social estate [Hegel] |
22792 | Individuals attain their right by discovering their self-consciousness in institutions [Hegel] |
21780 | A free will primarily wills its own freedoom [Hegel, by Houlgate] |
18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
22769 | The concept of the will is the free will which wills its freedom [Hegel] |
21787 | Evil enters a good will when we believe we are doing right, but allow no criticism of our choice [Hegel, by Houlgate] |
21786 | Conscience is the right of the self to know what is right and obligatory, and thus make them true [Hegel] |
22784 | Love is ethical life in its natural form [Hegel] |
8029 | You can't have a morality which is supplied by the individual, but is also genuinely universal [Hegel, by MacIntyre] |
22771 | Be a person, and respect other persons [Hegel] |
22051 | The categorical imperative lacks roots in a historical culture [Hegel, by Bowie] |
22781 | The categorical imperative is fine if you already have a set of moral principles [Hegel] |
22779 | The good is realised freedom [Hegel] |
22787 | The family is the first basis of the state, but estates are a necessary second [Hegel] |
22790 | We cannot assert rights which are unnatural [Hegel] |
22767 | I aim to portray the state as a rational entity [Hegel] |
22789 | Society draws people, and requires their work, making them wholly dependent on it [Hegel] |
22791 | The state is the march of God in the world [Hegel] |
22778 | Individuals can't leave the state, because they are natural citizens, and humans require a state [Hegel] |
22794 | A fully developed state is conscious and knows what it wills [Hegel] |
22799 | The people do not have the ability to know the general will [Hegel] |
22801 | The great man of the ages is the one who reveals and accomplishes the will of his time [Hegel] |
22796 | A constitution embodies a nation's rights and condition [Hegel] |
22777 | Individuals must dedicate themselves to the ethical whole, and give their lives when asked [Hegel] |
21791 | Social groups must focus on the state, which must in turn respect their inclusion and their will [Hegel] |
22795 | People can achieve respect for their state by insight into its essence [Hegel] |
21988 | In the 1840s Hegel seemed to defend society being right as it is, as a manifestation of Mind [Hegel, by Singer] |
22800 | Majority rule means obligations can be imposed on me [Hegel] |
21792 | The state should reflect all interests, and not just popular will, or a popular party [Hegel, by Houlgate] |
22797 | In modern states an individual's actions should be their choice [Hegel] |
21790 | Moral individuals become ethical when they see the social aspect of a matter [Hegel, by Houlgate] |
8030 | For Hegel, the moral life can only be led within a certain type of community [Hegel, by MacIntyre] |
22785 | Even educated women are unsuited to science, philosophy, art and government [Hegel] |
21789 | Slaves have no duties because they have no rights [Hegel] |
22776 | Slaves are partly responsible for their own condition [Hegel] |
21778 | True liberal freedom is to pursue something, while being free to cease the pursuit [Hegel, by Houlgate] |
21779 | People assume they are free, but the options available are not under their control [Hegel] |
22085 | Freedom requires us to submit to a family, or a corporation, or a state [Hegel, by Houlgate] |
22798 | Money is the best way to achieve just equality [Hegel] |
22783 | Rights imply duties, and duties imply rights [Hegel] |
21782 | Man has an absolute right to appropriate things [Hegel] |
22773 | Because only human beings can own property, everything else can become our property [Hegel] |
22774 | A community does not have the property-owning rights that a person has [Hegel] |
22775 | The owner of a thing is obviously the first person to freely take possession of it [Hegel] |
22802 | Wars add strength to a nation, and cure internal dissension [Hegel] |
22786 | Children need discipline, to break their self-will and eradicate sensuousness [Hegel] |
22782 | To have pagan beliefs and be a pagan are quite different [Hegel] |
22793 | Some religions lead to harsh servitude and the debasement of human beings [Hegel] |