| 7623 | For ancient Greeks being wise was an ethical value |
| 2352 | The job of the philosopher is to distinguish facts about the world from conventions |
| 6782 | Realism is the only philosophy of science that doesn't make the success of science a miracle |
| 6267 | A culture needs to admit that knowledge is more extensive than just 'science' |
| 6272 | 'True' and 'refers' cannot be made scientically precise, but are fundamental to science |
| 6276 | 'The rug is green' might be warrantedly assertible even though the rug is not green |
| 4714 | Putnam's epistemic notion of truth replaces the realism of correspondence with ontological relativism |
| 6266 | We need the correspondence theory of truth to understand language and science |
| 7617 | Before Kant, all philosophers had a correspondence theory of truth |
| 6277 | Correspondence between concepts and unconceptualised reality is impossible |
| 4716 | The correspondence theory is wrong, because there is no one correspondence between reality and fact |
| 8828 | Truth is rational acceptability |
| 7616 | Truth is an idealisation of rational acceptability |
| 18951 | For scientific purposes there is a precise concept of 'true-in-L', using set theory |
| 6264 | In Tarski's definition, you understand 'true' if you accept the notions of the object language |
| 6265 | Tarski has given a correct account of the formal logic of 'true', but there is more to the concept |
| 6269 | Only Tarski has found a way to define 'true' |
| 2345 | Semantic notions do not occur in Tarski's definitions, but assessing their correctness involves translation |
| 2347 | Asserting the truth of an indexical statement is not the same as uttering the statement |
| 18953 | Modern notation frees us from Aristotle's restriction of only using two class-names in premises |
| 18949 | The universal syllogism is now expressed as the transitivity of subclasses |
| 18952 | '⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '¬(Px & ¬Qx)' |
| 18958 | In type theory, 'x ∈ y' is well defined only if x and y are of the appropriate type |
| 9944 | We understand some statements about all sets |
| 9915 | V = L just says all sets are constructible |
| 9942 | Gödel proved the classical relative consistency of the axiom V = L |
| 13655 | The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate |
| 18954 | Before the late 19th century logic was trivialised by not dealing with relations |
| 18956 | Asserting first-order validity implicitly involves second-order reference to classes |
| 18962 | Unfashionably, I think logic has an empirical foundation |
| 10066 | Putnam coined the term 'if-thenism' |
| 18961 | We can identify functions with certain sets - or identify sets with certain functions |
| 17505 | Using proper names properly doesn't involve necessary and sufficient conditions |
| 18955 | Having a valid form doesn't ensure truth, as it may be meaningless |
| 14203 | Intension is not meaning, as 'cube' and 'square-faced polyhedron' are intensionally the same |
| 14207 | If cats equal cherries, model theory allows reinterpretation of the whole language preserving truth |
| 9913 | The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language |
| 18959 | Sets larger than the continuum should be studied in an 'if-then' spirit |
| 18200 | Very large sets should be studied in an 'if-then' spirit |
| 9937 | I do not believe mathematics either has or needs 'foundations' |
| 9939 | It is conceivable that the axioms of arithmetic or propositional logic might be changed |
| 3663 | How can you contemplate Platonic entities without causal transactions with them? |
| 9940 | Maybe mathematics is empirical in that we could try to change it |
| 9914 | It is unfashionable, but most mathematical intuitions come from nature |
| 9941 | Science requires more than consistency of mathematics |
| 18199 | Indispensability strongly supports predicative sets, and somewhat supports impredicative sets |
| 8857 | We must quantify over numbers for science; but that commits us to their existence |
| 6280 | Realism is a theory, which explains the convergence of science and the success of language |
| 17644 | Metaphysical realism is committed to there being one ultimate true theory |
| 2349 | Realists believe truth is correspondence, independent of humans, is bivalent, and is unique |
| 17648 | It is an illusion to think there could be one good scientific theory of reality |
| 9943 | You can't deny a hypothesis a truth-value simply because we may never know it! |
| 14214 | If we try to cure the abundance of theories with causal links, this is 'just more theory' |
| 14205 | The sentence 'A cat is on a mat' remains always true when 'cat' means cherry and 'mat' means tree |
| 7610 | A fact is simply what it is rational to accept |
| 7618 | Very nominalistic philosophers deny properties, though scientists accept them |
| 18957 | Nominalism only makes sense if it is materialist |
| 2351 | Aristotle says an object (e.g. a lamp) has identity if its parts stay together when it is moved |
| 18950 | Physics is full of non-physical entities, such as space-vectors |
| 17643 | Shape is essential relative to 'statue', but not essential relative to 'clay' |
| 11908 | Putnam bases essences on 'same kind', but same kinds may not share properties |
| 18890 | Putnam smuggles essentialism about liquids into his proof that water must be H2O |
| 4718 | If necessity is always relative to a description in a language, then there is only 'de dicto' necessity |
| 10269 | Mathematics eliminates possibility, as being simultaneous actuality in sets |
| 9169 | A statement can be metaphysically necessary and epistemologically contingent |
| 5819 | Conceivability is no proof of possibility |
| 5821 | Saying that natural kinds are 'rigid designators' is the same as saying they are 'indexical' |
| 6284 | If a tautology is immune from revision, why would that make it true? |
| 17642 | The old view that sense data are independent of mind is quite dotty |
| 6273 | Knowledge depends on believing others, which must be innate, as inferences are not strong enough |
| 6274 | Empathy may not give knowledge, but it can give plausibility or right opinion |
| 7620 | Some kind of objective 'rightness' is a presupposition of thought itself |
| 18960 | Most predictions are uninteresting, and are only sought in order to confirm a theory |
| 17508 | Science aims at truth, not at 'simplicity' |
| 14204 | Naïve operationalism would have meanings change every time the tests change |
| 17084 | You can't decide which explanations are good if you don't attend to the interest-relative aspects |
| 2590 | Dispositions need mental terms to define them |
| 3460 | Superactors and superspartans count against behaviourism |
| 2591 | Total paralysis would mean that there were mental states but no behaviour at all |
| 2588 | Is pain a functional state of a complete organism? |
| 2592 | Functional states correlate with AND explain pain behaviour |
| 2589 | Functionalism is compatible with dualism, as pure mind could perform the functions |
| 5495 | Instances of pain are physical tokens, but the nature of pain is more abstract |
| 2331 | Functionalism says robots and people are the same at one level of abstraction |
| 2348 | Is there just one computational state for each specific belief? |
| 2332 | Functionalism can't explain reference and truth, which are needed for logic |
| 2071 | If concepts have external meaning, computational states won't explain psychology |
| 2587 | Temperature is mean molecular kinetic energy, but they are two different concepts |
| 2344 | If we are going to eliminate folk psychology, we must also eliminate folk logic |
| 2330 | If humans and molluscs both feel pain, it can't be a single biological state |
| 2074 | Can we give a scientific, computational account of folk psychology? |
| 7611 | Rationality is one part of our conception of human flourishing |
| 2605 | If everything uses mentalese, ALL concepts must be innate! |
| 2606 | No machine language can express generalisations |
| 4099 | If Twins talking about 'water' and 'XYZ' have different thoughts but identical heads, then thoughts aren't in the head |
| 12026 | We say ice and steam are different forms of water, but not that they are different forms of H2O |
| 3208 | Does 'water' mean a particular substance that was 'dubbed'? |
| 14200 | 'Water' on Twin Earth doesn't refer to water, but no mental difference can account for this |
| 2343 | Reference may be different while mental representation is the same |
| 9168 | I can't distinguish elm trees, but I mean by 'elm' the same set of trees as everybody else |
| 5820 | 'Water' has an unnoticed indexical component, referring to stuff around here |
| 7612 | Reference is social not individual, because we defer to experts when referring to elm trees |
| 7613 | Concepts are (at least in part) abilities and not occurrences |
| 6282 | Theory of meaning presupposes theory of understanding and reference |
| 2346 | Meaning and translation (which are needed to define truth) both presuppose the notion of reference |
| 6281 | Truth conditions can't explain understanding a sentence, because that in turn needs explanation |
| 6278 | We should reject the view that truth is prior to meaning |
| 2354 | "Meaning is use" is not a definition of meaning |
| 2336 | Holism seems to make fixed definition more or less impossible |
| 2334 | Meaning holism tried to show that you can't get fixed meanings built out of observation terms |
| 2335 | Understanding a sentence involves background knowledge and can't be done in isolation |
| 6271 | How reference is specified is not what reference is |
| 2340 | We should separate how the reference of 'gold' is fixed from its conceptual content |
| 2341 | Like names, natural kind terms have their meaning fixed by extension and reference |
| 17506 | I now think reference by the tests of experts is a special case of being causally connected |
| 14202 | Neither individual nor community mental states fix reference |
| 9170 | We need to recognise the contribution of society and of the world in determining reference |
| 14201 | Maybe the total mental state of a language community fixes the reference of a term |
| 2338 | Reference (say to 'elms') is a social phenomenon which we can leave to experts |
| 2339 | Aristotle implies that we have the complete concepts of a language in our heads, but we don't |
| 3893 | Often reference determines sense, and not (as Frege thought) vice versa |
| 6268 | The claim that scientific terms are incommensurable can be blocked if scientific terms are not descriptions |
| 5817 | Language is more like a cooperative steamship than an individual hammer |
| 6279 | A private language could work with reference and beliefs, and wouldn't need meaning |
| 6270 | The correct translation is the one that explains the speaker's behaviour |
| 6283 | Language maps the world in many ways (because it maps onto other languages in many ways) |
| 14206 | There are infinitely many interpretations of a sentence which can all seem to be 'correct' |
| 6275 | You can't say 'most speaker's beliefs are true'; in some areas this is not so, and you can't count beliefs |
| 7624 | The word 'inconsiderate' nicely shows the blurring of facts and values |
| 11191 | The hidden structure of a natural kind determines membership in all possible worlds |
| 2342 | "Water" is a natural kind term, but "H2O" is a description |
| 11904 | Express natural kinds as a posteriori predicate connections, not as singular terms |
| 17507 | Natural kind stereotypes are 'strong' (obvious, like tiger) or 'weak' (obscure, like molybdenum) |
| 17645 | An alien might think oxygen was the main cause of a forest fire |
| 11192 | If causes are the essence of diseases, then disease is an example of a relational essence |
| 11190 | Archimedes meant by 'gold' the hidden structure or essence of the stuff |
| 5818 | If water is H2O in the actual world, there is no possible world where it isn't H2O |