84 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] |
16325 | Analysis rests on natural language, but its ideal is a framework which revises language [Halbach] |
16292 | An explicit definition enables the elimination of what is defined [Halbach] |
16307 | Don't trust analogies; they are no more than a guideline [Halbach] |
16330 | Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [Halbach] |
16339 | Truth axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach] |
16324 | Any definition of truth requires a metalanguage [Halbach] |
16293 | Traditional definitions of truth often make it more obscure, rather than less [Halbach] |
16301 | If people have big doubts about truth, a definition might give it more credibility [Halbach] |
11090 | Why do we want truth, rather than falsehood or ignorance? The value of truth is a problem [Nietzsche] |
16297 | Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach] |
16337 | Disquotational truth theories are short of deductive power [Halbach] |
16322 | CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [Halbach] |
16294 | Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [Halbach] |
16326 | The main semantic theories of truth are Kripke's theory, and revisions semantics [Halbach] |
16311 | To axiomatise Tarski's truth definition, we need a binary predicate for his 'satisfaction' [Halbach] |
16318 | Compositional Truth CT has the truth of a sentence depending of the semantic values of its constituents [Halbach] |
16299 | Gödel numbering means a theory of truth can use Peano Arithmetic as its base theory [Halbach] |
16340 | Truth axioms need a base theory, because that is where truth issues arise [Halbach] |
16305 | We know a complete axiomatisation of truth is not feasible [Halbach] |
16313 | A theory is 'conservative' if it adds no new theorems to its base theory [Halbach, by PG] |
16315 | The Tarski Biconditional theory TB is Peano Arithmetic, plus truth, plus all Tarski bi-conditionals [Halbach] |
16314 | Theories of truth are 'typed' (truth can't apply to sentences containing 'true'), or 'type-free' [Halbach] |
16327 | Friedman-Sheard is type-free Compositional Truth, with two inference rules for truth [Halbach] |
16329 | Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach] |
16332 | The KF theory is useful, but it is not a theory containing its own truth predicate [Halbach] |
16331 | The KF is much stronger deductively than FS, which relies on classical truth [Halbach] |
16319 | Compositional Truth CT proves generalisations, so is preferred in discussions of deflationism [Halbach] |
16320 | Some say deflationism is axioms which are conservative over the base theory [Halbach] |
16338 | Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach] |
16317 | The main problem for deflationists is they can express generalisations, but not prove them [Halbach] |
16316 | Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach] |
15130 | If a property is possible, there is something which can have it [Williamson] |
16335 | In Strong Kleene logic a disjunction just needs one disjunct to be true [Halbach] |
16334 | In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value [Halbach] |
16309 | Every attempt at formal rigour uses some set theory [Halbach] |
16333 | The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach] |
16310 | A theory is some formulae and all of their consequences [Halbach] |
16342 | You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach] |
16341 | Normally we only endorse a theory if we believe it to be sound [Halbach] |
16344 | Soundness must involve truth; the soundness of PA certainly needs it [Halbach] |
16347 | Many new paradoxes may await us when we study interactions between frameworks [Halbach] |
16336 | The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach] |
16321 | The compactness theorem can prove nonstandard models of PA [Halbach] |
16343 | The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach] |
16312 | To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach] |
16308 | Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach] |
7079 | Nietzsche resists nihilism through new values, for a world of becoming, without worship [Nietzsche, by Critchley] |
16345 | That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach] |
16346 | Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach] |
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] |
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] |
16298 | We need propositions to ascribe the same beliefs to people with different languages [Halbach] |
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] |
2867 | Christianity is Platonism for the people [Nietzsche] |