90 ideas
20262 | Don't use wisdom in order to become clever! [Nietzsche] |
20255 | Early 19th century German philosophers enjoyed concepts, rather than scientific explanations [Nietzsche] |
20260 | Carlyle spent his life vainly trying to make reason appear romantic [Nietzsche] |
20256 | What we think is totally dictated by the language available to express it [Nietzsche] |
20265 | The desire for a complete system requires making the weak parts look equal to the rest [Nietzsche] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
6806 | Do not multiply entities beyond necessity [William of Ockham] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
20380 | Why should truth be omnipotent? It is enough that it is very powerful [Nietzsche] |
20235 | Like animals, we seek truth because we want safety [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] |
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] |
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] |
22132 | Species and genera are individual concepts which naturally signify many individuals [William of Ockham] |
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] |
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] |
20258 | Most people treat knowledge as a private possession [Nietzsche] |
20250 | We may be unable to remember, but we may never actually forget [Nietzsche] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
20270 | There is no one scientific method; we must try many approaches, and many emotions [Nietzsche] |
20131 | We can cultivate our drives, of anger, pity, curiosity, vanity, like a gardener, with good or bad taste [Nietzsche] |
20242 | Things are the boundaries of humanity, so all things must be known, for self-knowledge [Nietzsche] |
20249 | Our knowledge of the many drives that constitute us is hopelessly incomplete [Nietzsche] |
20231 | People used to think that outcomes were from God, rather than consequences of acts [Nietzsche] |
18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
20266 | It is essential that wise people learn to express their wisdom, possibly even as foolishness [Nietzsche] |
18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
20251 | Actions done for a purpose are least understood, because we complacently think it's obvious [Nietzsche] |
20271 | Beauty in art is the imitation of happiness [Nietzsche] |
20230 | The very idea of a critique of morality is regarded as immoral! [Nietzsche] |
20234 | Morality prevents us from developing better customs [Nietzsche] |
20237 | Moral feelings are entirely different from the moral concepts used to judge actions [Nietzsche] |
20238 | Treating morality as feelings is just obeying your ancestors [Nietzsche] |
20243 | Human beings are not majestic, either through divine origins, or through grand aims [Nietzsche] |
20268 | Most dying people have probably lost more important things than what they are about to lose [Nietzsche] |
20252 | Marriage is too serious to be permitted for people in love! [Nietzsche] |
20236 | Marriage upholds the idea that love, though a passion, can endure [Nietzsche] |
20263 | Fear reveals the natures of other people much more clearly than love does [Nietzsche] |
20233 | Punishment has distorted the pure innocence of the contingency of outcomes [Nietzsche] |
20248 | People do nothing for their real ego, but only for a phantom ego created by other people [Nietzsche] |
20246 | If you feel to others as they feel to themselves, you must hate a self-hater [Nietzsche] |
20272 | Honesty is a new young virtue, and we can promote it, or not [Nietzsche] |
20240 | The Jews treated great anger as holy, and were in awe of those who expressed it [Nietzsche] |
20244 | Christianity replaces rational philosophical virtues with great passions focused on God [Nietzsche] |
20274 | The cardinal virtues want us to be honest, brave, magnanimous and polite [Nietzsche] |
20257 | Cool courage and feverish bravery have one name, but are two very different virtues [Nietzsche] |
20259 | Teach youth to respect people who differ with them, not people who agree with them [Nietzsche] |
20267 | Seeing duty as a burden makes it a bit cruel, and it can thus never become a habit [Nietzsche] |
20275 | Most people think they are already complete, but we can cultivate ourselves [Nietzsche] |
20229 | No authority ever willingly accepts criticism [Nietzsche] |
20254 | People govern for the pleasure of it, or just to avoid being governed [Nietzsche] |
20273 | The French Revolution gave trusting Europe the false delusion of instant recovery [Nietzsche] |
20232 | Get rid of the idea of punishment! It is a noxious weed! [Nietzsche] |
20253 | Modern wars arise from the study of history [Nietzsche] |
20261 | History does not concern what really happened, but supposed events, which have all the influence [Nietzsche] |
19381 | The past has ceased to exist, and the future does not yet exist, so time does not exist [William of Ockham] |
20241 | Enquirers think finding our origin is salvation, but it turns out to be dull [Nietzsche] |
8010 | William of Ockham is the main spokesman for God's commands being the source of morality [William of Ockham] |
20245 | Christianity hoped for a short cut to perfection, that skipped the hard labour of morality [Nietzsche] |
20247 | Christianity was successful because of its heathen rituals [Nietzsche] |
16679 | Even an angel must have some location [William of Ockham, by Pasnau] |
20269 | 'I believe because it is absurd' - but how about 'I believe because I am absurd' [Nietzsche] |
20264 | The easy and graceful aspects of a person are called 'soul', and inner awkwardness is called 'soulless' [Nietzsche] |