202 ideas
| 8349 | The best way to do ontology is to make sense of our normal talk [Davidson] |
| 8868 | Objective truth arises from interpersonal communication [Davidson] |
| 3969 | There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson] |
| 3972 | Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson] |
| 9955 | Contextual definitions replace a complete sentence containing the expression [George/Velleman] |
| 10031 | Impredicative definitions quantify over the thing being defined [George/Velleman] |
| 6396 | A sentence is held true because of a combination of meaning and belief [Davidson] |
| 23295 | Truth cannot be reduced to anything simpler [Davidson] |
| 19160 | A comprehensive theory of truth probably includes a theory of predication [Davidson] |
| 23291 | Without truth, both language and thought are impossible [Davidson] |
| 23286 | Truth can't be a goal, because we can neither recognise it nor confim it [Davidson] |
| 23284 | Plato's Forms confused truth with the most eminent truths, so only Truth itself is completely true [Davidson] |
| 19151 | Antirealism about truth prevents its use as an intersubjective standard [Davidson] |
| 8188 | Davidson takes truth to attach to individual sentences [Davidson, by Dummett] |
| 19144 | 'Epistemic' truth depends what rational creatures can verify [Davidson] |
| 19044 | Saying truths fit experience adds nothing to truth; nothing makes sentences true [Davidson] |
| 18702 | Names, descriptions and predicates refer to things; without that, language and thought are baffling [Davidson] |
| 23292 | Correspondence can't be defined, but it shows how truth depends on the world [Davidson] |
| 18902 | Correspondence theories can't tell you what truths correspond to [Davidson] |
| 23298 | Neither Aristotle nor Tarski introduce the facts needed for a correspondence theory [Davidson] |
| 19148 | There is nothing interesting or instructive for truths to correspond to [Davidson] |
| 19167 | Two sentences can be rephrased by equivalent substitutions to correspond to the same thing [Davidson] |
| 19166 | The Slingshot assumes substitutions give logical equivalence, and thus identical correspondence [Davidson] |
| 19081 | Coherence with a set of propositions suggests we can know the proposition corresponds [Davidson, by Donnellan] |
| 19150 | Coherence truth says a consistent set of sentences is true - which ties truth to belief [Davidson] |
| 19146 | Satisfaction is a sort of reference, so maybe we can define truth in terms of reference? [Davidson] |
| 19145 | We can explain truth in terms of satisfaction - but also explain satisfaction in terms of truth [Davidson] |
| 19174 | Axioms spell out sentence satisfaction. With no free variables, all sequences satisfy the truths [Davidson] |
| 23288 | When Tarski defines truth for different languages, how do we know it is a single concept? [Davidson] |
| 23297 | The language to define truth needs a finite vocabulary, to make the definition finite [Davidson] |
| 19172 | To define a class of true sentences is to stipulate a possible language [Davidson] |
| 19136 | Many say that Tarski's definitions fail to connect truth to meaning [Davidson] |
| 19139 | Tarski does not tell us what his various truth predicates have in common [Davidson] |
| 19147 | Truth is the basic concept, because Convention-T is agreed to fix the truths of a language [Davidson] |
| 23296 | We can elucidate indefinable truth, but showing its relation to other concepts [Davidson] |
| 19153 | Truth is basic and clear, so don't try to replace it with something simpler [Davidson] |
| 23287 | Disquotation only accounts for truth if the metalanguage contains the object language [Davidson] |
| 19170 | Tarski is not a disquotationalist, because you can assign truth to a sentence you can't quote [Davidson] |
| 10098 | The 'power set' of A is all the subsets of A [George/Velleman] |
| 10101 |
Cartesian Product A x B: the set of all ordered pairs |
| 10099 | The 'ordered pair' <a, b>, for two sets a and b, is the set {{a, b},{a}} [George/Velleman] |
| 10103 | Grouping by property is common in mathematics, usually using equivalence [George/Velleman] |
| 10104 | 'Equivalence' is a reflexive, symmetric and transitive relation; 'same first letter' partitions English words [George/Velleman] |
| 10096 | Even the elements of sets in ZFC are sets, resting on the pure empty set [George/Velleman] |
| 10097 | Axiom of Extensionality: for all sets x and y, if x and y have the same elements then x = y [George/Velleman] |
| 10100 | Axiom of Pairing: for all sets x and y, there is a set z containing just x and y [George/Velleman] |
| 17900 | The Axiom of Reducibility made impredicative definitions possible [George/Velleman] |
| 10109 | ZFC can prove that there is no set corresponding to the concept 'set' [George/Velleman] |
| 10108 | As a reduction of arithmetic, set theory is not fully general, and so not logical [George/Velleman] |
| 10111 | Asserting Excluded Middle is a hallmark of realism about the natural world [George/Velleman] |
| 7332 | There is a huge range of sentences of which we do not know the logical form [Davidson] |
| 18914 | Davidson controversially proposed to quantify over events [Davidson, by Engelbretsen] |
| 19140 | 'Satisfaction' is a generalised form of reference [Davidson] |
| 10129 | A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman] |
| 10105 | Differences between isomorphic structures seem unimportant [George/Velleman] |
| 10119 | Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman] |
| 10126 | A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman] |
| 10120 | Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman] |
| 10127 | A 'complete' theory contains either any sentence or its negation [George/Velleman] |
| 10106 | Rational numbers give answers to division problems with integers [George/Velleman] |
| 10102 | The integers are answers to subtraction problems involving natural numbers [George/Velleman] |
| 10107 | Real numbers provide answers to square root problems [George/Velleman] |
| 9946 | Logicists say mathematics is applicable because it is totally general [George/Velleman] |
| 10125 | The classical mathematician believes the real numbers form an actual set [George/Velleman] |
| 17899 | Second-order induction is stronger as it covers all concepts, not just first-order definable ones [George/Velleman] |
| 10128 | The Incompleteness proofs use arithmetic to talk about formal arithmetic [George/Velleman] |
| 17902 | A successor is the union of a set with its singleton [George/Velleman] |
| 10133 | Frege's Theorem shows the Peano Postulates can be derived from Hume's Principle [George/Velleman] |
| 10130 | Set theory can prove the Peano Postulates [George/Velleman] |
| 10089 | Talk of 'abstract entities' is more a label for the problem than a solution to it [George/Velleman] |
| 10131 | If mathematics is not about particulars, observing particulars must be irrelevant [George/Velleman] |
| 10092 | In the unramified theory of types, the types are objects, then sets of objects, sets of sets etc. [George/Velleman] |
| 10094 | The theory of types seems to rule out harmless sets as well as paradoxical ones. [George/Velleman] |
| 10095 | Type theory has only finitely many items at each level, which is a problem for mathematics [George/Velleman] |
| 17901 | Type theory prohibits (oddly) a set containing an individual and a set of individuals [George/Velleman] |
| 10114 | Bounded quantification is originally finitary, as conjunctions and disjunctions [George/Velleman] |
| 10134 | Much infinite mathematics can still be justified finitely [George/Velleman] |
| 10123 | The intuitionists are the idealists of mathematics [George/Velleman] |
| 10124 | Gödel's First Theorem suggests there are truths which are independent of proof [George/Velleman] |
| 7771 | We need 'events' to explain adverbs, which are adjectival predicates of events [Davidson, by Lycan] |
| 8860 | Language-learning is not good enough evidence for the existence of events [Yablo on Davidson] |
| 7949 | Varied descriptions of an event will explain varied behaviour relating to it [Davidson, by Macdonald,C] |
| 8348 | If we don't assume that events exist, we cannot make sense of our common talk [Davidson] |
| 9843 | You can't identify events by causes and effects, as the event needs to be known first [Dummett on Davidson] |
| 14602 | Events can only be individuated causally [Davidson, by Schaffer,J] |
| 14004 | We need events for action statements, causal statements, explanation, mind-and-body, and adverbs [Davidson, by Bourne] |
| 8278 | The claim that events are individuated by their causal relations to other events is circular [Lowe on Davidson] |
| 23285 | If we try to identify facts precisely, they all melt into one (as the Slingshot Argument proves) [Davidson] |
| 15002 | If the best theory of adverbs refers to events, then our ontology should include events [Davidson, by Sider] |
| 19173 | Treating predicates as sets drops the predicate for a new predicate 'is a member of', which is no help [Davidson] |
| 19142 | Probability can be constrained by axioms, but that leaves open its truth nature [Davidson] |
| 11145 | Having a belief involves the possibility of being mistaken [Davidson] |
| 8806 | The concepts of belief and truth are linked, since beliefs are meant to fit reality [Davidson] |
| 6397 | The concept of belief can only derive from relationship to a speech community [Davidson] |
| 8867 | A belief requires understanding the distinctions of true-and-false, and appearance-and-reality [Davidson] |
| 8252 | Davidson believes experience is non-conceptual, and outside the space of reasons [Davidson, by McDowell] |
| 6400 | Without the dualism of scheme and content, not much is left of empiricism [Davidson] |
| 8255 | Davidson says the world influences us causally; I say it influences us rationally [McDowell on Davidson] |
| 23294 | It is common to doubt truth when discussing it, but totally accept it when discussing knowledge [Davidson] |
| 8804 | Reasons for beliefs are not the same as evidence [Davidson] |
| 8802 | Sensations lack the content to be logical; they cause beliefs, but they cannot justify them [Davidson] |
| 8801 | Coherent justification says only beliefs can be reasons for holding other beliefs [Davidson] |
| 8805 | Skepticism is false because our utterances agree, because they are caused by the same objects [Davidson] |
| 10347 | Objectivity is intersubjectivity [Davidson] |
| 6398 | Different points of view make sense, but they must be plotted on a common background [Davidson] |
| 8347 | Explanations typically relate statements, not events [Davidson] |
| 3960 | There are no such things as minds, but people have mental properties [Davidson] |
| 8866 | If we know other minds through behaviour, but not our own, we should assume they aren't like me [Davidson] |
| 10346 | Knowing other minds rests on knowing both one's own mind and the external world [Davidson, by Dummett] |
| 19169 | Predicates are a source of generality in sentences [Davidson] |
| 4042 | Metaphysics requires the idea of people (speakers) located in space and time [Davidson] |
| 4983 | There are no rules linking thought and behaviour, because endless other thoughts intervene [Davidson] |
| 3529 | Reduction is impossible because mind is holistic and brain isn't [Davidson, by Maslin] |
| 3964 | If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson] |
| 3965 | Mental entities do not add to the physical furniture of the world [Davidson] |
| 2307 | Anomalous monism says nothing at all about the relationship between mental and physical [Davidson, by Kim] |
| 3961 | Obviously all mental events are causally related to physical events [Davidson] |
| 5497 | Mind is outside science, because it is humanistic and partly normative [Davidson, by Lycan] |
| 4081 | Anomalous monism says causes are events, so the mental and physical are identical, without identical properties [Davidson, by Crane] |
| 2321 | If rule-following and reason are 'anomalies', does that make reductionism impossible? [Davidson, by Kim] |
| 3404 | Davidson claims that mental must be physical, to make mental causation possible [Davidson, by Kim] |
| 3963 | There are no strict psychophysical laws connecting mental and physical events [Davidson] |
| 3405 | If mental causation is lawless, it is only possible if mental events have physical properties [Davidson, by Kim] |
| 3966 | The correct conclusion is ontological monism combined with conceptual dualism [Davidson] |
| 16041 | Supervenience of the mental means physical changes mental, and mental changes physical [Davidson] |
| 6620 | Davidson sees identity as between events, not states, since they are related in causation [Davidson, by Lowe] |
| 6383 | Cause unites our picture of the universe; without it, mental and physical will separate [Davidson] |
| 3429 | Multiple realisability was worse news for physicalism than anomalous monism was [Davidson, by Kim] |
| 6392 | Thought depends on speech [Davidson] |
| 3967 | Absence of all rationality would be absence of thought [Davidson] |
| 6393 | A creature doesn't think unless it interprets another's speech [Davidson] |
| 6386 | In no important way can psychology be reduced to the physical sciences [Davidson] |
| 3974 | Our meanings are partly fixed by events of which we may be ignorant [Davidson] |
| 6175 | External identification doesn't mean external location, as with sunburn [Davidson, by Rowlands] |
| 8872 | It is widely supposed that externalism cannot be reconciled with first-person authority [Davidson] |
| 8874 | It is hard to interpret a speaker's actions if we take a broad view of the content [Davidson] |
| 10110 | Corresponding to every concept there is a class (some of them sets) [George/Velleman] |
| 11144 | Concepts are only possible in a language community [Davidson] |
| 6387 | A minimum requirement for a theory of meaning is that it include an account of truth [Davidson] |
| 19149 | If we reject corresponding 'facts', we should also give up the linked idea of 'representations' [Davidson] |
| 19163 | You only understand an order if you know what it is to obey it [Davidson] |
| 15160 | Davidson rejected ordinary meaning, and just used truth and reference instead [Davidson, by Soames] |
| 14612 | Davidson aimed to show that language is structured by first-order logic [Davidson, by Smart] |
| 4041 | Sentences held true determine the meanings of the words they contain [Davidson] |
| 6391 | A theory of truth tells us how communication by language is possible [Davidson] |
| 23289 | Knowing the potential truth conditions of a sentence is necessary and sufficient for understanding [Davidson] |
| 19152 | Utterances have the truth conditions intended by the speaker [Davidson] |
| 6395 | An understood sentence can be used for almost anything; it isn't language if it has only one use [Davidson] |
| 23290 | It could be that the use of a sentence is explained by its truth conditions [Davidson] |
| 19162 | Meaning involves use, but a sentence has many uses, while meaning stays fixed [Davidson] |
| 19131 | We recognise sentences at once as linguistic units; we then figure out their parts [Davidson] |
| 6394 | The pattern of sentences held true gives sentences their meaning [Davidson] |
| 1757 | The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius] |
| 6388 | Is reference the key place where language and the world meet? [Davidson] |
| 6390 | With a holistic approach, we can give up reference in empirical theories of language [Davidson] |
| 6389 | To explain the reference of a name, you must explain its sentence-role, so reference can't be defined nonlinguistically [Davidson] |
| 19176 | The concept of truth can explain predication [Davidson] |
| 19156 | Modern predicates have 'places', and are sentences with singular terms deleted from the places [Davidson] |
| 7772 | Compositionality explains how long sentences work, and truth conditions are the main compositional feature [Davidson, by Lycan] |
| 19133 | If you assign semantics to sentence parts, the sentence fails to compose a whole [Davidson] |
| 7327 | Davidson thinks Frege lacks an account of how words create sentence-meaning [Davidson, by Miller,A] |
| 7331 | A theory of meaning comes down to translating sentences into Fregean symbolic logic [Davidson, by Macey] |
| 19132 | Top-down semantic analysis must begin with truth, as it is obvious, and explains linguistic usage [Davidson] |
| 7769 | You can state truth-conditions for "I am sick now" by relativising it to a speaker at a time [Davidson, by Lycan] |
| 19158 | 'Humanity belongs to Socrates' is about humanity, so it's a different proposition from 'Socrates is human' [Davidson] |
| 3968 | Propositions explain nothing without an explanation of how sentences manage to name them [Davidson] |
| 3970 | Thought is only fully developed if we communicate with others [Davidson] |
| 8870 | Content of thought is established through communication, so knowledge needs other minds [Davidson] |
| 6179 | Should we assume translation to define truth, or the other way around? [Blackburn on Davidson] |
| 6399 | Criteria of translation give us the identity of conceptual schemes [Davidson] |
| 18703 | Davidson's Cogito: 'I think, therefore I am generally right' [Davidson, by Button] |
| 8869 | The principle of charity attributes largely consistent logic and largely true beliefs to speakers [Davidson] |
| 3971 | There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson] |
| 19154 | The principle of charity says an interpreter must assume the logical constants [Davidson] |
| 7776 | Metaphors just mean what their words literally mean [Davidson] |
| 19161 | We indicate use of a metaphor by its obvious falseness, or trivial truth [Davidson] |
| 7777 | We accept a metaphor when we see the sentence is false [Davidson] |
| 7775 | Understanding a metaphor is a creative act, with no rules [Davidson] |
| 20020 | If one action leads directly to another, they are all one action [Davidson, by Wilson/Schpall] |
| 20072 | We explain an intention by giving an account of acting with an intention [Davidson, by Stout,R] |
| 20076 | An intending is a judgement that the action is desirable [Davidson] |
| 20074 | We can keep Davidson's account of intentions in action, by further explaining prior intentions [Davidson, by Stout,R] |
| 20024 | Davidson gave up reductive accounts of intention, and said it was a primitive [Davidson, by Wilson/Schpall] |
| 6385 | The causally strongest reason may not be the reason the actor judges to be best [Davidson] |
| 20045 | Acting for a reason is a combination of a pro attitude, and a belief that the action is appropriate [Davidson] |
| 6384 | The notion of cause is essential to acting for reasons, intentions, agency, akrasia, and free will [Davidson] |
| 23734 | The best explanation of reasons as purposes for actions is that they are causal [Davidson, by Smith,M] |
| 23737 | Reasons can give purposes to actions, without actually causing them [Smith,M on Davidson] |
| 20075 | Early Davidson says intentional action is caused by reasons [Davidson, by Stout,R] |
| 6664 | Reasons must be causes when agents act 'for' reasons [Davidson, by Lowe] |
| 19698 | Deviant causal chain: a reason causes an action, but isn't the reason for which it was performed [Davidson, by Neta] |
| 3395 | Davidson claims that what causes an action is the reason for doing it [Davidson, by Kim] |
| 3028 | The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides] |
| 3973 | Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson] |
| 8873 | The cause of a usage determines meaning, but why is the microstructure of water relevant? [Davidson] |
| 10371 | Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J] |
| 8403 | Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson] |
| 3524 | Causation is either between events, or between descriptions of events [Davidson, by Maslin] |
| 3526 | Whether an event is a causal explanation depends on how it is described [Davidson, by Maslin] |
| 8346 | Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson] |
| 4778 | A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos] |
| 3962 | Cause and effect relations between events must follow strict laws [Davidson] |