241 ideas
7623 | For ancient Greeks being wise was an ethical value [Putnam] |
13773 | For the truth you need Prodicus's fifty-drachma course, not his one-drachma course [Socrates] |
343 | The unexamined life is not worth living for men [Socrates] |
7421 | A philosopher is one who cares about what other people care about [Socrates, by Foucault] |
15357 | Philosophy is the most general intellectual discipline [Horsten] |
2352 | The job of the philosopher is to distinguish facts about the world from conventions [Putnam] |
1649 | Socrates opened philosophy to all, but Plato confined moral enquiry to a tiny elite [Vlastos on Socrates] |
5842 | Philosophical discussion involves dividing subject-matter into categories [Socrates, by Xenophon] |
648 | Socrates began the quest for something universal with his definitions, but he didn't make them separate [Socrates, by Aristotle] |
6782 | Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam] |
6267 | A culture needs to admit that knowledge is more extensive than just 'science' [Putnam] |
6272 | 'True' and 'refers' cannot be made scientically precise, but are fundamental to science [Putnam] |
164 | It is legitimate to play the devil's advocate [Socrates] |
1647 | In Socratic dialogue you must say what you believe, so unasserted premises are not debated [Vlastos on Socrates] |
115 | Socrates was pleased if his mistakes were proved wrong [Socrates] |
22099 | The method of Socrates shows the student is discovering the truth within himself [Socrates, by Carlisle] |
5844 | Socrates always proceeded in argument by general agreement at each stage [Socrates, by Xenophon] |
15352 | A definition should allow the defined term to be eliminated [Horsten] |
11389 | Socrates sought essences, which are the basis of formal logic [Socrates, by Aristotle] |
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
6276 | 'The rug is green' might be warrantedly assertible even though the rug is not green [Putnam] |
4714 | Putnam's epistemic notion of truth replaces the realism of correspondence with ontological relativism [Putnam, by O'Grady] |
15324 | Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten] |
15323 | Truth is a property, because the truth predicate has an extension [Horsten] |
15374 | Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten] |
15348 | Propositions have sentence-like structures, so it matters little which bears the truth [Horsten] |
6266 | We need the correspondence theory of truth to understand language and science [Putnam] |
7617 | Before Kant, all philosophers had a correspondence theory of truth [Putnam] |
15333 | Modern correspondence is said to be with the facts, not with true propositions [Horsten] |
6277 | Correspondence between concepts and unconceptualised reality is impossible [Putnam] |
4716 | The correspondence theory is wrong, because there is no one correspondence between reality and fact [Putnam, by O'Grady] |
15337 | The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten] |
15334 | The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten] |
8828 | Truth is rational acceptability [Putnam] |
7616 | Truth is an idealisation of rational acceptability [Putnam] |
15336 | The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten] |
18951 | For scientific purposes there is a precise concept of 'true-in-L', using set theory [Putnam] |
15354 | Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten] |
15340 | Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten] |
15345 | Semantic theories have a regress problem in describing truth in the languages for the models [Horsten] |
6264 | In Tarski's definition, you understand 'true' if you accept the notions of the object language [Putnam] |
6265 | Tarski has given a correct account of the formal logic of 'true', but there is more to the concept [Putnam] |
6269 | Only Tarski has found a way to define 'true' [Putnam] |
2345 | Semantic notions do not occur in Tarski's definitions, but assessing their correctness involves translation [Putnam] |
15332 | 'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten] |
15361 | A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten] |
15350 | The Naïve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten] |
15351 | Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten] |
15367 | By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten] |
15373 | Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten] |
15346 | Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten] |
15371 | An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten] |
15330 | Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten] |
15331 | Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten] |
2347 | Asserting the truth of an indexical statement is not the same as uttering the statement [Putnam] |
15325 | Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten] |
15344 | Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten] |
15356 | Deflationism concerns the nature and role of truth, but not its laws [Horsten] |
15368 | This deflationary account says truth has a role in generality, and in inference [Horsten] |
15358 | Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten] |
15359 | Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten] |
18953 | Modern notation frees us from Aristotle's restriction of only using two class-names in premises [Putnam] |
639 | Socrates developed definitions as the basis of syllogisms, and also inductive arguments [Socrates, by Aristotle] |
18949 | The universal syllogism is now expressed as the transitivity of subclasses [Putnam] |
18952 | '⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '¬(Px & ¬Qx)' [Putnam] |
15329 | Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten] |
18958 | In type theory, 'x ∈ y' is well defined only if x and y are of the appropriate type [Putnam] |
9944 | We understand some statements about all sets [Putnam] |
13655 | The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro] |
9915 | V = L just says all sets are constructible [Putnam] |
18954 | Before the late 19th century logic was trivialised by not dealing with relations [Putnam] |
18956 | Asserting first-order validity implicitly involves second-order reference to classes [Putnam] |
15326 | Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten] |
15341 | Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten] |
18962 | Unfashionably, I think logic has an empirical foundation [Putnam] |
10066 | Putnam coined the term 'if-thenism' [Putnam, by Musgrave] |
18961 | We can identify functions with certain sets - or identify sets with certain functions [Putnam] |
15328 | A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten] |
17505 | Using proper names properly doesn't involve necessary and sufficient conditions [Putnam] |
15349 | It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten] |
18955 | Having a valid form doesn't ensure truth, as it may be meaningless [Putnam] |
15366 | Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten] |
14203 | Intension is not meaning, as 'cube' and 'square-faced polyhedron' are intensionally the same [Putnam] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
14207 | If cats equal cherries, model theory allows reinterpretation of the whole language preserving truth [Putnam] |
9913 | The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam] |
15353 | The first incompleteness theorem means that consistency does not entail soundness [Horsten] |
15355 | Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten] |
15364 | English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten] |
18959 | Sets larger than the continuum should be studied in an 'if-then' spirit [Putnam] |
18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
9937 | I do not believe mathematics either has or needs 'foundations' [Putnam] |
10885 | Computer proofs don't provide explanations [Horsten] |
9939 | It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
15360 | ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten] |
15369 | Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten] |
3663 | How can you contemplate Platonic entities without causal transactions with them? [Putnam] |
9940 | Maybe mathematics is empirical in that we could try to change it [Putnam] |
9914 | It is unfashionable, but most mathematical intuitions come from nature [Putnam] |
9941 | Science requires more than consistency of mathematics [Putnam] |
18199 | Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam] |
8857 | We must quantify over numbers for science; but that commits us to their existence [Putnam] |
15370 | Predicativism says mathematical definitions must not include the thing being defined [Horsten] |
6280 | Realism is a theory, which explains the convergence of science and the success of language [Putnam] |
17644 | Metaphysical realism is committed to there being one ultimate true theory [Putnam] |
2349 | Realists believe truth is correspondence, independent of humans, is bivalent, and is unique [Putnam] |
9943 | You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam] |
22181 | Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha] |
14214 | If we try to cure the abundance of theories with causal links, this is 'just more theory' [Putnam, by Lewis] |
17648 | It is an illusion to think there could be one good scientific theory of reality [Putnam] |
14205 | The sentence 'A cat is on a mat' remains always true when 'cat' means cherry and 'mat' means tree [Putnam] |
7610 | A fact is simply what it is rational to accept [Putnam] |
15338 | We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten] |
15363 | In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten] |
15362 | If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten] |
7618 | Very nominalistic philosophers deny properties, though scientists accept them [Putnam] |
1652 | Socrates did not consider universals or definitions as having separate existence, but Plato made Forms of them [Socrates, by Aristotle] |
18957 | Nominalism only makes sense if it is materialist [Putnam] |
2351 | Aristotle says an object (e.g. a lamp) has identity if its parts stay together when it is moved [Putnam] |
18950 | Physics is full of non-physical entities, such as space-vectors [Putnam] |
17643 | Shape is essential relative to 'statue', but not essential relative to 'clay' [Putnam] |
11908 | Putnam bases essences on 'same kind', but same kinds may not share properties [Mackie,P on Putnam] |
18890 | Putnam smuggles essentialism about liquids into his proof that water must be H2O [Salmon,N on Putnam] |
4718 | If necessity is always relative to a description in a language, then there is only 'de dicto' necessity [Putnam, by O'Grady] |
10269 | Mathematics eliminates possibility, as being simultaneous actuality in sets [Putnam] |
9169 | A statement can be metaphysically necessary and epistemologically contingent [Putnam] |
5819 | Conceivability is no proof of possibility [Putnam] |
15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
6284 | If a tautology is immune from revision, why would that make it true? [Putnam] |
17642 | The old view that sense data are independent of mind is quite dotty [Putnam] |
6273 | Knowledge depends on believing others, which must be innate, as inferences are not strong enough [Putnam] |
6274 | Empathy may not give knowledge, but it can give plausibility or right opinion [Putnam] |
7620 | Some kind of objective 'rightness' is a presupposition of thought itself [Putnam] |
18960 | Most predictions are uninteresting, and are only sought in order to confirm a theory [Putnam] |
17508 | Science aims at truth, not at 'simplicity' [Putnam] |
14204 | Naïve operationalism would have meanings change every time the tests change [Putnam] |
17084 | You can't decide which explanations are good if you don't attend to the interest-relative aspects [Putnam] |
7705 | The Twin Earth theory suggests that intentionality is independent of qualia [Jacquette on Putnam] |
1650 | For Socrates our soul, though hard to define, is our self [Vlastos on Socrates] |
2590 | Dispositions need mental terms to define them [Putnam] |
3460 | Superactors and superspartans count against behaviourism [Putnam, by Searle] |
2591 | Total paralysis would mean that there were mental states but no behaviour at all [Putnam] |
2588 | Is pain a functional state of a complete organism? [Putnam] |
2589 | Functionalism is compatible with dualism, as pure mind could perform the functions [Putnam] |
2592 | Functional states correlate with AND explain pain behaviour [Putnam] |
5495 | Instances of pain are physical tokens, but the nature of pain is more abstract [Putnam, by Lycan] |
2331 | Functionalism says robots and people are the same at one level of abstraction [Putnam] |
2071 | If concepts have external meaning, computational states won't explain psychology [Putnam] |
2332 | Functionalism can't explain reference and truth, which are needed for logic [Putnam] |
2348 | Is there just one computational state for each specific belief? [Putnam] |
2587 | Temperature is mean molecular kinetic energy, but they are two different concepts [Putnam] |
2344 | If we are going to eliminate folk psychology, we must also eliminate folk logic [Putnam] |
6376 | Neuroscience does not support multiple realisability, and tends to support identity [Polger on Putnam] |
2330 | If humans and molluscs both feel pain, it can't be a single biological state [Putnam, by Kim] |
2074 | Can we give a scientific, computational account of folk psychology? [Putnam] |
23252 | Socrates first proposed that we are run by mind or reason [Socrates, by Frede,M] |
7611 | Rationality is one part of our conception of human flourishing [Putnam] |
2605 | If everything uses mentalese, ALL concepts must be innate! [Putnam] |
2606 | No machine language can express generalisations [Putnam] |
4099 | If Twins talking about 'water' and 'XYZ' have different thoughts but identical heads, then thoughts aren't in the head [Putnam, by Crane] |
12026 | We say ice and steam are different forms of water, but not that they are different forms of H2O [Forbes,G on Putnam] |
3208 | Does 'water' mean a particular substance that was 'dubbed'? [Putnam, by Rey] |
14200 | 'Water' on Twin Earth doesn't refer to water, but no mental difference can account for this [Putnam] |
2343 | Reference may be different while mental representation is the same [Putnam] |
9168 | I can't distinguish elm trees, but I mean by 'elm' the same set of trees as everybody else [Putnam] |
5820 | 'Water' has an unnoticed indexical component, referring to stuff around here [Putnam] |
7612 | Reference is social not individual, because we defer to experts when referring to elm trees [Putnam] |
7613 | Concepts are (at least in part) abilities and not occurrences [Putnam] |
6282 | Theory of meaning presupposes theory of understanding and reference [Putnam] |
2346 | Meaning and translation (which are needed to define truth) both presuppose the notion of reference [Putnam] |
6281 | Truth conditions can't explain understanding a sentence, because that in turn needs explanation [Putnam] |
6278 | We should reject the view that truth is prior to meaning [Putnam] |
2354 | "Meaning is use" is not a definition of meaning [Putnam] |
2336 | Holism seems to make fixed definition more or less impossible [Putnam] |
2334 | Meaning holism tried to show that you can't get fixed meanings built out of observation terms [Putnam] |
2335 | Understanding a sentence involves background knowledge and can't be done in isolation [Putnam] |
6271 | How reference is specified is not what reference is [Putnam] |
2340 | We should separate how the reference of 'gold' is fixed from its conceptual content [Putnam] |
2341 | Like names, natural kind terms have their meaning fixed by extension and reference [Putnam] |
17506 | I now think reference by the tests of experts is a special case of being causally connected [Putnam] |
2338 | Reference (say to 'elms') is a social phenomenon which we can leave to experts [Putnam] |
14202 | Neither individual nor community mental states fix reference [Putnam] |
9170 | We need to recognise the contribution of society and of the world in determining reference [Putnam] |
14201 | Maybe the total mental state of a language community fixes the reference of a term [Putnam] |
2339 | Aristotle implies that we have the complete concepts of a language in our heads, but we don't [Putnam] |
3893 | Often reference determines sense, and not (as Frege thought) vice versa [Putnam, by Scruton] |
6268 | The claim that scientific terms are incommensurable can be blocked if scientific terms are not descriptions [Putnam] |
15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
5817 | Language is more like a cooperative steamship than an individual hammer [Putnam] |
6279 | A private language could work with reference and beliefs, and wouldn't need meaning [Putnam] |
6270 | The correct translation is the one that explains the speaker's behaviour [Putnam] |
6283 | Language maps the world in many ways (because it maps onto other languages in many ways) [Putnam] |
14206 | There are infinitely many interpretations of a sentence which can all seem to be 'correct' [Putnam] |
6275 | You can't say 'most speaker's beliefs are true'; in some areas this is not so, and you can't count beliefs [Putnam] |
195 | No one willingly commits an evil or base act [Socrates] |
1653 | Socrates did not accept the tripartite soul (which permits akrasia) [Vlastos on Socrates] |
5843 | People do what they think they should do, and only ever do what they think they should do [Socrates, by Xenophon] |
5253 | Socrates was shocked by the idea of akrasia, but observation shows that it happens [Aristotle on Socrates] |
199 | The common belief is that people can know the best without acting on it [Socrates] |
5839 | For Socrates, wisdom and prudence were the same thing [Socrates, by Xenophon] |
5867 | For Socrates, virtues are forms of knowledge, so knowing justice produces justice [Socrates, by Aristotle] |
5069 | Socrates was the first to base ethics upon reason, and use reason to explain it [Taylor,R on Socrates] |
5836 | All human virtues are increased by study and practice [Socrates, by Xenophon] |
5840 | The wise perform good actions, and people fail to be good without wisdom [Socrates, by Xenophon] |
185 | Socrates despised good looks [Socrates, by Plato] |
5070 | Socrates conservatively assumed that Athenian conventions were natural and true [Taylor,R on Socrates] |
7624 | The word 'inconsiderate' nicely shows the blurring of facts and values [Putnam] |
5838 | A well-made dung basket is fine, and a badly-made gold shield is base, because of function [Socrates, by Xenophon] |
344 | If death is like a night of dreamless sleep, such nights are very pleasant [Socrates] |
339 | Men fear death as a great evil when it may be a great blessing [Socrates] |
5837 | Things are both good and fine by the same standard [Socrates, by Xenophon] |
3017 | The only good is knowledge, and the only evil is ignorance [Socrates, by Diog. Laertius] |
1646 | Socrates was the first to put 'eudaimonia' at the centre of ethics [Socrates, by Vlastos] |
2 | We should not even harm someone who harms us [Socrates] |
1663 | By 'areté' Socrates means just what we mean by moral virtue [Vlastos on Socrates] |
345 | A good man cannot be harmed, either in life or in death [Socrates] |
4323 | Socrates is torn between intellectual virtue, which is united and teachable, and natural virtue, which isn't [PG on Socrates] |
8003 | Socrates agrees that virtue is teachable, but then denies that there are teachers [Socrates, by MacIntyre] |
126 | We should ask what sort of people we want to be [Socrates] |
4111 | Socrates believed that basically there is only one virtue, the power of right judgement [Socrates, by Williams,B] |
7808 | Socrates made the civic values of justice and friendship paramount [Socrates, by Grayling] |
346 | One ought not to return a wrong or injury to any person, whatever the provocation [Socrates] |
23907 | Courage is scientific knowledge [Socrates, by Aristotle] |
341 | Wealth is good if it is accompanied by virtue [Socrates] |
7585 | Socrates emphasises that the knower is an existing individual, with existence his main task [Socrates, by Kierkegaard] |
5841 | Obedience to the law gives the best life, and success in war [Socrates, by Xenophon] |
347 | Will I stand up against the law, simply because I have been unjustly judged? [Socrates] |
1661 | Socrates was the first to grasp that a cruelty is not justified by another cruelty [Vlastos on Socrates] |
5846 | A lover using force is a villain, but a seducer is much worse, because he corrupts character [Socrates, by Xenophon] |
11191 | The hidden structure of a natural kind determines membership in all possible worlds [Putnam] |
17507 | Natural kind stereotypes are 'strong' (obvious, like tiger) or 'weak' (obscure, like molybdenum) [Putnam] |
11904 | Express natural kinds as a posteriori predicate connections, not as singular terms [Putnam, by Mackie,P] |
2342 | "Water" is a natural kind term, but "H2O" is a description [Putnam] |
17645 | An alien might think oxygen was the main cause of a forest fire [Putnam] |
11192 | If causes are the essence of diseases, then disease is an example of a relational essence [Putnam, by Williams,NE] |
11190 | Archimedes meant by 'gold' the hidden structure or essence of the stuff [Putnam] |
5818 | If water is H2O in the actual world, there is no possible world where it isn't H2O [Putnam] |
1657 | Socrates holds that right reason entails virtue, and this must also apply to the gods [Vlastos on Socrates] |
1662 | A new concept of God as unswerving goodness emerges from Socrates' commitment to virtue [Vlastos on Socrates] |
338 | Socrates is accused of denying the gods, saying sun is stone and moon is earth [Socrates, by Plato] |