218 ideas
19066 | Philosophy aims to understand the world, through ordinary experience and science [Dummett] |
6979 | Serious metaphysics cares about entailment between sentences [Jackson] |
10838 | To explain a concept, we need its purpose, not just its rules of usage [Dummett] |
6980 | Conceptual analysis studies whether one story is made true by another story [Jackson] |
6983 | Intuitions about possibilities are basic to conceptual analysis [Jackson] |
14707 | Conceptual analysis is needed to establish that metaphysical reductions respect original meanings [Jackson, by Schroeter] |
17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
23966 | The personal view can still be objective, so I call sciences 'impersonal', rather than objective [Goldie] |
9847 | A contextual definition permits the elimination of the expression by a substitution [Dummett] |
19067 | A successful proof requires recognition of truth at every step [Dummett] |
10837 | It is part of the concept of truth that we aim at making true statements [Dummett] |
10840 | We must be able to specify truths in a precise language, like winning moves in a game [Dummett] |
7005 | Something can only have a place in a preferred account of things if it is entailed by the account [Jackson] |
6994 | Truth supervenes on being [Jackson] |
19171 | Tarski's truth is like rules for winning games, without saying what 'winning' means [Dummett, by Davidson] |
8166 | Truth is part of semantics, since valid inference preserves truth [Dummett] |
19053 | Logic would be more natural if negation only referred to predicates [Dummett] |
19060 | Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett] |
16951 | It was realised that possible worlds covered all modal logics, if they had a structure [Dummett] |
16952 | If something is only possible relative to another possibility, the possibility relation is not transitive [Dummett] |
16953 | Relative possibility one way may be impossible coming back, so it isn't symmetrical [Dummett] |
16960 | If possibilitiy is relative, that might make accessibility non-transitive, and T the correct system [Dummett] |
16958 | In S4 the actual world has a special place [Dummett] |
18073 | Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher] |
18832 | Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett] |
10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
9193 | ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett] |
9194 | The main alternative to ZF is one which includes looser classes as well as sets [Dummett] |
10542 | To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett] |
11066 | Deduction is justified by the semantics of its metalanguage [Dummett, by Hanna] |
9820 | In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett] |
19058 | Syntactic consequence is positive, for validity; semantic version is negative, with counterexamples [Dummett] |
8173 | Language can violate bivalence because of non-referring terms or ill-defined predicates [Dummett] |
8195 | Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett] |
7334 | Anti-realism needs an intuitionist logic with no law of excluded middle [Dummett, by Miller,A] |
8179 | The law of excluded middle is the logical reflection of the principle of bivalence [Dummett] |
9195 | Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett] |
14352 | '¬', '&', and 'v' are truth functions: the truth of the compound is fixed by the truth of the components [Jackson] |
19052 | Natural language 'not' doesn't apply to sentences [Dummett] |
18801 | Classical negation is circular, if it relies on knowing negation-conditions from truth-conditions [Dummett] |
9182 | Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett] |
19057 | Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett] |
9186 | First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett] |
19063 | Beth trees show semantics for intuitionistic logic, in terms of how truth has been established [Dummett] |
19059 | In standard views you could replace 'true' and 'false' with mere 0 and 1 [Dummett] |
19062 | Classical two-valued semantics implies that meaning is grasped through truth-conditions [Dummett] |
9187 | Logical truths and inference are characterized either syntactically or semantically [Dummett] |
19065 | Soundness and completeness proofs test the theory of meaning, rather than the logic theory [Dummett] |
8194 | Surely there is no exact single grain that brings a heap into existence [Dummett] |
9896 | A prime number is one which is measured by a unit alone [Dummett] |
18255 | Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett] |
9191 | Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett] |
9895 | A number is a multitude composed of units [Dummett] |
9852 | We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett] |
15938 | Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett] |
10554 | Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett] |
9829 | The identity of a number may be fixed by something outside structure - by counting [Dummett] |
9828 | Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett] |
9192 | The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett] |
9876 | Set theory isn't part of logic, and why reduce to something more complex? [Dummett] |
15939 | For intuitionists it is constructed proofs (which take time) which make statements true [Dummett] |
10552 | Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett] |
8190 | Intuitionists rely on the proof of mathematical statements, not their truth [Dummett] |
8198 | A 'Cambridge Change' is like saying 'the landscape changes as you travel east' [Dummett] |
6984 | Smooth reductions preserve high-level laws in the lower level [Jackson] |
10515 | Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale] |
10544 | The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett] |
10546 | We don't need a sharp concrete/abstract distinction [Dummett] |
9884 | The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett] |
10540 | We can't say that light is concrete but radio waves abstract [Dummett] |
22297 | Dummett saw realism as acceptance of bivalence, rather than of mind-independent entities [Dummett, by Potter] |
9869 | Realism is just the application of two-valued semantics to sentences [Dummett] |
15049 | Metaphysical realists are committed to all unambiguous statements being true or not true [Dummett] |
8184 | Philosophers should not presume reality, but only invoke it when language requires it [Dummett] |
8185 | We can't make sense of a world not apprehended by a mind [Dummett] |
8192 | I no longer think what a statement about the past says is just what can justify it [Dummett] |
3303 | For anti-realists there are no natural distinctions between objects [Dummett, by Benardete,JA] |
8163 | Since 'no bird here' and 'no squirrel here' seem the same, we must talk of 'atomic' facts [Dummett] |
8161 | We know we can state facts, with true statements [Dummett] |
21628 | To say reality itself is vague is not properly intelligible [Dummett] |
6978 | Baldness is just hair distribution, but the former is indeterminate, unlike the latter [Jackson] |
8180 | 'That is red or orange' might be considered true, even though 'that is red' and 'that is orange' were not [Dummett] |
10281 | The objects we recognise the world as containing depends on the structure of our language [Dummett] |
10548 | The context principle for names rules out a special philosophical sense for 'existence' [Dummett] |
6993 | Redness is a property, but only as a presentation to normal humans [Jackson] |
10532 | We can understand universals by studying predication [Dummett] |
8499 | Nominalists cannot translate 'red resembles pink more than blue' into particulars [Jackson] |
10534 | 'Nominalism' used to mean denial of universals, but now means denial of abstract objects [Dummett] |
9880 | Nominalism assumes unmediated mental contact with objects [Dummett] |
8500 | Colour resemblance isn't just resemblance between things; 'colour' must be mentioned [Jackson] |
10541 | Concrete objects such as sounds and smells may not be possible objects of ostension [Dummett] |
10545 | Abstract objects may not cause changes, but they can be the subject of change [Dummett] |
9885 | The existence of abstract objects is a pseudo-problem [Dummett] |
10555 | If we can intuitively apprehend abstract objects, this makes them observable and causally active [Dummett] |
9858 | Abstract objects nowadays are those which are objective but not actual [Dummett] |
10543 | Abstract objects must have names that fall within the range of some functional expression [Dummett] |
9859 | It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett] |
9860 | 'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett] |
10320 | If a genuine singular term needs a criterion of identity, we must exclude abstract nouns [Dummett, by Hale] |
10547 | Abstract objects can never be confronted, and need verbal phrases for reference [Dummett] |
9872 | Abstract objects need the context principle, since they can't be encountered directly [Dummett] |
10531 | There is a modern philosophical notion of 'object', first introduced by Frege [Dummett] |
14633 | How do we tell a table's being contingently plastic from its being essentially plastic? [Jackson] |
14635 | An x is essentially F if it is F in every possible world in which it appears [Jackson] |
14632 | Quine may have conflated de re and de dicto essentialism, but there is a real epistemological problem [Jackson] |
9848 | Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett] |
9842 | Frege introduced criteria for identity, but thought defining identity was circular [Dummett] |
6987 | We should not multiply senses of necessity beyond necessity [Jackson] |
14360 | Possible worlds for subjunctives (and dispositions), and no-truth for indicatives? [Jackson] |
14288 | 'If A,B' affirms that A⊃B, and also that this wouldn't change if A were certain [Jackson, by Edgington] |
13769 | Conditionals are truth-functional, but should only be asserted when they are confident [Jackson, by Edgington] |
13858 | The truth-functional account of conditionals is right, if the antecedent is really acceptable [Jackson, by Edgington] |
14289 | There are some assertable conditionals one would reject if one learned the antecedent [Jackson, by Edgington] |
14353 | Modus ponens requires that A→B is F when A is T and B is F [Jackson] |
14354 | When A and B have the same truth value, A→B is true, because A→A is a logical truth [Jackson] |
14355 | (A&B)→A is a logical truth, even if antecedent false and consequent true, so it is T if A is F and B is T [Jackson] |
14358 | In the possible worlds account of conditionals, modus ponens and modus tollens are validated [Jackson] |
14359 | Only assertions have truth-values, and conditionals are not proper assertions [Jackson] |
14357 | Possible worlds account, unlike A⊃B, says nothing about when A is false [Jackson] |
14356 | We can't insist that A is relevant to B, as conditionals can express lack of relevance [Jackson] |
14631 | How can you show the necessity of an a posteriori necessity, if it might turn out to be false? [Jackson] |
16957 | Possible worlds aren't how the world might be, but how a world might be, given some possibility [Dummett] |
16959 | If possible worlds have no structure (S5) they are equal, and it is hard to deny them reality [Dummett] |
6988 | Mathematical sentences are a problem in a possible-worlds framework [Jackson] |
6975 | Possible worlds could be concrete, abstract, universals, sentences, or properties [Jackson] |
8199 | The existence of a universe without sentience or intelligence is an unintelligible fantasy [Dummett] |
6982 | Long arithmetic calculations show the a priori can be fallible [Jackson] |
6991 | We examine objects to determine colour; we do not introspect [Jackson] |
8178 | Empirical and a priori knowledge are not distinct, but are extremes of a sliding scale [Dummett] |
19061 | An explanation is often a deduction, but that may well beg the question [Dummett] |
24005 | We know other's emotions by explanation, contagion, empathy, imagination, or sympathy [Goldie] |
24006 | Empathy and imagining don't ensure sympathy, and sympathy doesn't need them [Goldie] |
4894 | I say Mary does not have new knowledge, but knows an old fact in a new way [Perry on Jackson] |
4895 | Is it unfair that physicalist knowledge can be written down, but dualist knowledge can't be [Perry on Jackson] |
4886 | Mary knows all the physical facts of seeing red, but experiencing it is new knowledge [Jackson] |
6976 | In physicalism, the psychological depends on the physical, not the other way around [Jackson] |
6986 | Is the dependence of the psychological on the physical a priori or a posteriori? [Jackson] |
6992 | If different states can fulfil the same role, the converse must also be possible [Jackson] |
7880 | If a blind persons suddenly sees a kestrel, that doesn't make visual and theoretical kestrels different [Papineau on Jackson] |
7378 | No one bothers to imagine what it would really be like to have ALL the physical information [Dennett on Jackson] |
7377 | Mary learns when she sees colour, so her complete physical information had missed something [Jackson] |
8175 | A theory of thought will include propositional attitudes as well as propositions [Dummett] |
8174 | The theories of meaning and understanding are the only routes to an account of thought [Dummett] |
23978 | 'Having an emotion' differs from 'being emotional' [Goldie] |
23973 | Unlike moods, emotions have specific objects, though the difference is a matter of degree [Goldie] |
23974 | Emotional intentionality as belief and desire misses out the necessity of feelings [Goldie] |
23972 | A long lasting and evolving emotion is still seen as a single emotion, such as love [Goldie] |
23992 | Some Aborigines have fifteen different words for types of fear [Goldie] |
23979 | Emotional responses can reveal to us our values, which might otherwise remain hidden [Goldie] |
23976 | If we have a 'feeling towards' an object, that gives the recognition a different content [Goldie] |
23977 | When actions are performed 'out of' emotion, they appear to be quite different [Goldie] |
23980 | It is best to see emotions holistically, as embedded in a person's life narrative [Goldie] |
23982 | If emotions are 'towards' things, they can't be bodily feelings, which lack aboutness [Goldie] |
24001 | Moods can focus as emotions, and emotions can blur into moods [Goldie] |
23968 | If reasons are seen impersonally (as just causal), then feelings are an irrelevant extra [Goldie] |
23969 | We have feelings of which we are hardly aware towards things in the world [Goldie] |
23984 | An emotion needs episodes of feeling, but not continuously [Goldie] |
23970 | Emotions are not avocado pears, with a rigid core and changeable surface [Goldie] |
23985 | A basic emotion is the foundation of a hierarchy, such as anger for types of annoyance [Goldie] |
23986 | Early Chinese basic emotions: joy, anger, sadness, fear, love, disliking, and liking [Goldie] |
23991 | Cross-cultural studies of facial expressions suggests seven basic emotions [Goldie] |
23967 | Some emotions are direct responses, and neither rational nor irrational [Goldie] |
23971 | Emotional thought is not rational, but it can be intelligible [Goldie] |
23975 | Learning an evaluative property like 'dangerous' is also learning an emotion [Goldie] |
23983 | We call emotions 'passions' because they are not as controlled as we would like [Goldie] |
23999 | Emotional control is hard, but we are responsible for our emotions over long time periods [Goldie] |
23994 | Emotions are not easily changed, as new knowledge makes little difference, and akrasia is possible [Goldie] |
23998 | Emotional control is less concerned with emotional incidents, and more with emotional tendencies [Goldie] |
6996 | Folk psychology covers input, internal role, and output [Jackson] |
6977 | Egocentric or de se content seems to be irreducibly so [Jackson] |
6990 | Keep distinct the essential properties of water, and application conditions for the word 'water' [Jackson] |
19168 | Concepts only have a 'functional character', because they map to truth values, not objects [Dummett, by Davidson] |
6985 | Analysis is finding necessary and sufficient conditions by studying possible cases [Jackson] |
9849 | Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett] |
9850 | An argument for conceptual priority is greater simplicity in explanation [Dummett] |
9873 | Abstract terms are acceptable as long as we know how they function linguistically [Dummett] |
10839 | You can't infer a dog's abstract concepts from its behaviour [Dummett] |
10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
9993 | There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait] |
9857 | We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett] |
9833 | To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett] |
8165 | To 'abstract from' is a logical process, as opposed to the old mental view [Dummett] |
19055 | Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett] |
19056 | If a sentence is effectively undecidable, we can never know its truth conditions [Dummett] |
8168 | To know the truth-conditions of a sentence, you must already know the meaning [Dummett] |
8193 | Verification is not an individual but a collective activity [Dummett] |
8181 | A justificationist theory of meaning leads to the rejection of classical logic [Dummett] |
8182 | Verificationism could be realist, if we imagined the verification by a superhuman power [Dummett] |
8183 | If truths about the past depend on memories and current evidence, the past will change [Dummett] |
19054 | Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett] |
8176 | We could only guess the meanings of 'true' and 'false' when sentences were used [Dummett] |
8170 | Sentences are the primary semantic units, because they can say something [Dummett] |
19064 | Holism is not a theory of meaning; it is the denial that a theory of meaning is possible [Dummett] |
10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
9181 | The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett] |
6995 | Successful predication supervenes on nature [Jackson] |
9836 | Fregean semantics assumes a domain articulated into individual objects [Dummett] |
8189 | Truth-condition theorists must argue use can only be described by appeal to conditions of truth [Dummett] |
8191 | The truth-conditions theory must get agreement on a conception of truth [Dummett] |
6989 | I can understand "He has a beard", without identifying 'he', and hence the truth conditions [Jackson] |
8169 | We can't distinguish a proposition from its content [Dummett] |
23995 | Akrasia can be either overruling our deliberation, or failing to deliberate [Goldie] |
24000 | Justifying reasons say you were right; excusing reasons say your act was explicable [Goldie] |
6998 | Folk morality does not clearly distinguish between doing and allowing [Jackson] |
6997 | Moral functionalism says moral terms get their meaning from their role in folk morality [Jackson] |
7000 | Which are prior - thin concepts like right, good, ought; or thick concepts like kindness, equity etc.? [Jackson] |
16956 | To explain generosity in a person, you must understand a generous action [Dummett] |
24003 | Character traits are both possession of and lack of dispositions [Goldie] |
24002 | We over-estimate the role of character traits when explaining behaviour [Goldie] |
24004 | Psychologists suggest we are muddled about traits, and maybe they should be abandoned [Goldie] |
6999 | It is hard to justify the huge difference in our judgements of abortion and infanticide [Jackson] |
16954 | Generalised talk of 'natural kinds' is unfortunate, as they vary too much [Dummett] |
18257 | Why should the limit of measurement be points, not intervals? [Dummett] |
8186 | Time is the measure of change, so we can't speak of time before all change [Dummett] |
8197 | Maybe past (which affects us) and future (which we can affect) are both real [Dummett] |
8167 | If Presentism is correct, we cannot even say that the present changes [Dummett] |
8196 | The present cannot exist alone as a mere boundary; past and future truths are rendered meaningless [Dummett] |
23993 | Our capabilities did not all evolve during the hunter gathering period [Goldie] |