107 ideas
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] |
16339 | Truth axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach] |
16330 | Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [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] |
22309 | An idea can only be like another idea [Berkeley] |
16297 | Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach] |
16337 | Disquotational truth theories are short of deductive power [Halbach] |
16294 | Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [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] |
16326 | The main semantic theories of truth are Kripke's theory, and revisions semantics [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] |
16322 | CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [Halbach] |
16327 | Friedman-Sheard is type-free Compositional Truth, with two inference rules for truth [Halbach] |
16332 | The KF theory is useful, but it is not a theory containing its own truth predicate [Halbach] |
16329 | Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach] |
16331 | The KF is much stronger deductively than FS, which relies on classical truth [Halbach] |
16320 | Some say deflationism is axioms which are conservative over the base theory [Halbach] |
16317 | The main problem for deflationists is they can express generalisations, but not prove them [Halbach] |
16319 | Compositional Truth CT proves generalisations, so is preferred in discussions of deflationism [Halbach] |
16338 | Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach] |
16316 | Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach] |
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] |
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] |
16342 | You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [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] |
6717 | Abstract ideas are impossible [Berkeley] |
16345 | That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach] |
18876 | Berkeley does believe in trees, but is confused about what trees are [Berkeley, by Cameron] |
6715 | Universals do not have single meaning, but attach to many different particulars [Berkeley] |
6719 | No one will think of abstractions if they only have particular ideas [Berkeley] |
6714 | Universals do not have any intrinsic properties, but only relations to particulars [Berkeley] |
6729 | Material substance is just general existence which can have properties [Berkeley] |
16636 | A die has no distinct subject, but is merely a name for its modes or accidents [Berkeley] |
16346 | Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach] |
20146 | 'Luck' is the unpredictable and inexplicable intersection of causal chains [Kekes] |
6722 | Perception is existence for my table, but also possible perception, by me or a spirit [Berkeley] |
6724 | The only substance is spirit, or that which perceives [Berkeley] |
6723 | The 'esse' of objects is 'percipi', and they can only exist in minds [Berkeley] |
6732 | When I shut my eyes, the things I saw may still exist, but in another mind [Berkeley] |
6728 | Motion is in the mind, since swifter ideas produce an appearance of slower motion [Berkeley] |
6727 | Figure and extension seem just as dependent on the observer as heat and cold [Berkeley] |
6726 | No one can, by abstraction, conceive extension and motion of bodies without sensible qualities [Berkeley] |
6495 | Berkeley's idealism resulted from fear of scepticism in representative realism [Robinson,H on Berkeley] |
6720 | Knowledge is of ideas from senses, or ideas of the mind, or operations on sensations [Berkeley] |
23636 | Berkeley's idealism gives no grounds for believing in other minds [Reid on Berkeley] |
6736 | I know other minds by ideas which are referred by me to other agents, as their effects [Berkeley] |
6713 | If animals have ideas, and are not machines, they must have some reason [Berkeley] |
6491 | Berkeley replaced intentionality with an anti-abstractionist imagist theory of thought [Berkeley, by Robinson,H] |
6711 | The mind creates abstract ideas by considering qualities separated from their objects [Berkeley] |
10581 | I can only combine particulars in imagination; I can't create 'abstract' ideas [Berkeley] |
6721 | Ideas are perceived by the mind, soul or self [Berkeley] |
6716 | Language is presumably for communication, and names stand for ideas [Berkeley] |
6718 | I can't really go wrong if I stick to wordless thought [Berkeley] |
16298 | We need propositions to ascribe the same beliefs to people with different languages [Halbach] |
20169 | An action may be intended under one description, but not under another [Kekes] |
20149 | To control our actions better, make them result from our attitudes, not from circumstances [Kekes] |
19738 | Values are an attempt to achieve well-being by bringing contingencies under control [Kekes] |
20145 | Values help us to control life, by connecting it to what is stable and manageable [Kekes] |
20170 | Responsibility is unprovoked foreseeable harm, against society, arising from vicious character [Kekes] |
20165 | Reason and morality do not coincide; immorality can be reasonable, with an ideology [Kekes] |
20171 | Practical reason is not universal and impersonal, because it depends on what success is [Kekes] |
20175 | If morality has to be rational, then moral conflicts need us to be irrational and immoral [Kekes] |
20174 | Relativists say all values are relative; pluralists concede much of that, but not 'human' values [Kekes] |
20156 | We are bound to regret some values we never aspired to [Kekes] |
20150 | There are far more values than we can pursue, so they are optional possibilities [Kekes] |
20158 | Innumerable values arise for us, from our humanity, our culture, and our individuality [Kekes] |
20159 | Cultural values are interpretations of humanity, conduct, institutions, and evaluations [Kekes] |
20161 | The big value problems are evil (humanity), disenchantment (cultures), and boredom (individuals) [Kekes] |
20152 | Unconditional commitments are our most basic convictions, saying what must never be done [Kekes] |
20153 | Doing the unthinkable damages ourselves, so it is more basic than any value [Kekes] |
20151 | Our attitudes include what possibilities we value, and also what is allowable, and unthinkable [Kekes] |
20162 | Evil isn't explained by nature, by monsters, by uncharacteristic actions, or by society [Kekes] |
20154 | Control is the key to well-being [Kekes] |
20157 | Well-being needs correct attitudes and well-ordered commitments to local values [Kekes] |
20173 | Boredom is apathy and restlessness, yearning for something interesting [Kekes] |
20172 | Boredom destroys our ability to evaluate [Kekes] |
20155 | Society is alienating if it lacks our values, and its values repel us [Kekes] |
20163 | Ideologies have beliefs about reality, ideals, a gap with actuality, and a program [Kekes] |
20164 | The ideal of an ideology is embodied in a text, a role model, a law of history, a dream of the past... [Kekes] |
20148 | Equal distribution is no good in a shortage, because there might be no one satisfied [Kekes] |
6731 | No one can explain how matter affects mind, so matter is redundant in philosophy [Berkeley] |
6730 | We discover natural behaviour by observing settled laws of nature, not necessary connections [Berkeley] |
15861 | The laws of nature are mental regularities which we learn by experience [Berkeley] |
6734 | If properties and qualities arise from an inward essence, we will remain ignorant of nature [Berkeley] |
6735 | All motion is relative, so a single body cannot move [Berkeley] |
6733 | I cannot imagine time apart from the flow of ideas in my mind [Berkeley] |
6737 | Particular evils are really good when linked to the whole system of beings [Berkeley] |