75 ideas
7834 | Great philosophies are confessions by the author, growing out of moral intentions [Nietzsche] |
7080 | Metaphysics divided the old unified Greek world into two [Nietzsche, by Critchley] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
11090 | Why do we want truth, rather than falsehood or ignorance? The value of truth is a problem [Nietzsche] |
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] |
18830 | Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt] |
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] |
18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [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] |
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] |
7079 | Nietzsche resists nihilism through new values, for a world of becoming, without worship [Nietzsche, by Critchley] |
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] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
18828 | If two possibilities can't share a determiner, they are incompatible [Rumfitt] |
18824 | Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [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] |
2878 | We see an approximation of a tree, not the full detail [Nietzsche] |
20140 | We shouldn't object to a false judgement, if it enhances and preserves life [Nietzsche] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
2877 | Morality becomes a problem when we compare many moralities [Nietzsche] |
20355 | The ranking of a person's innermost drives reveals their true nature [Nietzsche] |
2291 | A thought comes when 'it' wants, not when 'I' want [Nietzsche] |
2871 | Wanting 'freedom of will' is wanting to pull oneself into existence out of the swamp of nothingness by one's own hair [Nietzsche] |
20381 | It is psychology which reveals the basic problems [Nietzsche] |
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] |
2860 | The most boring and dangerous of all errors is Plato's invention of pure spirit and goodness [Nietzsche] |
1568 | Nietzsche felt that Plato's views downgraded the human body and its brevity of life [Nietzsche, by Roochnik] |
2883 | Noble people see themselves as the determiners of values [Nietzsche] |
23440 | Nietzsche's judgement of actions by psychology instead of outcome was poisonous [Foot on Nietzsche] |
2875 | That which is done out of love always takes place beyond good and evil [Nietzsche] |
2868 | Nature is totally indifferent, so you should try to be different from it, not live by it [Nietzsche] |
2882 | Morality originally judged people, and actions only later on [Nietzsche] |
2872 | In the earliest phase of human history only consequences mattered [Nietzsche] |
2885 | The noble soul has reverence for itself [Nietzsche] |
20134 | Moralities extravagantly address themselves to 'all', by falsely generalising [Nietzsche] |
2881 | Virtue has been greatly harmed by the boringness of its advocates [Nietzsche] |
20382 | The four virtues are courage, insight, sympathy, solitude [Nietzsche] |
2879 | In ancient Rome pity was considered neither good nor bad [Nietzsche] |
2859 | The idea of the categorical imperative is just that we should all be very obedient [Nietzsche] |
2884 | The morality of slaves is the morality of utility [Nietzsche] |
2880 | The greatest possibilities in man are still unexhausted [Nietzsche] |
2876 | The thought of suicide is a great reassurance on bad nights [Nietzsche] |
7078 | The freedom of the subject means the collapse of moral certainty [Nietzsche, by Critchley] |
2874 | Man is the animal whose nature has not yet been fixed [Nietzsche] |
6869 | Nietzsche thinks the human condition is to overcome and remake itself [Nietzsche, by Ansell Pearson] |
20137 | The great person engages wholly with life, and is happy to endlessly relive the life they created [Nietzsche] |
20139 | Only aristocratic societies can elevate the human species [Nietzsche] |
20373 | A healthy aristocracy has no qualms about using multitudes of men as instruments [Nietzsche] |
22394 | Democracy diminishes mankind, making them mediocre and lowering their value [Nietzsche] |
9111 | God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham] |
9112 | We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham] |
2867 | Christianity is Platonism for the people [Nietzsche] |