49 ideas
| 3593 | The only way to specify the corresponding fact is asserting the sentence [Williams,M] |
| Full Idea: The trouble with appeal to facts in the correspondence theory is that, in general, we have no way of indicating what fact a sentence, when true, corresponds to other than asserting the sentence. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.12) |
| 3585 | Coherence needs positive links, not just absence of conflict [Williams,M] |
| Full Idea: It is often claimed that coherence is more than 'absence of conflict' between beliefs; it also involves 'positive connections'. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.10) |
| 3584 | Justification needs coherence, while truth might be ideal coherence [Williams,M] |
| Full Idea: Contemporary coherence theorists are advancing a theory of justification, not of truth, …with those who argue that truth is also coherence explaining it in terms of ideal coherence, or coherence at the limit of enquiry. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.10) |
| 8472 | Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein] |
| Full Idea: Sentential logic has been proved consistent and complete; its consistency means that no contradictions can be derived, and its completeness assures us that every one of the logical truths can be proved. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.5) | |
| A reaction: The situation for quantificational logic is not quite so clear (Orenstein p.98). I do not presume that being consistent and complete makes it necessarily better as a tool in the real world. |
| 8476 | Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein] |
| Full Idea: In axiomatizing, we are merely sorting out among the truths of a science those which will play a special role, namely, serve as axioms from which we derive the others. The sentences are already true in a non-conventional or ordinary sense. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.5) | |
| A reaction: If you were starting from scratch, as Euclidean geometers may have felt they were doing, you might want to decide which are the simplest truths. Axiomatizing an established system is a more advanced activity. |
| 8480 | S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein] |
| Full Idea: The five systems of propositional modal logic contain successively stronger conceptions of necessity. In S4 'it is poss that it is poss that p' implies 'it is poss that p'. In S5, 'it is poss that it is nec that p' implies 'it is nec that p'. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.7) | |
| A reaction: C.I. Lewis originated this stuff. Any serious student of modality is probably going to have to pick a system. E.g. Nathan Salmon says that the correct modal logic is even weaker than S4. |
| 8474 | Unlike elementary logic, set theory is not complete [Orenstein] |
| Full Idea: The incompleteness of set theory contrasts sharply with the completeness of elementary logic. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.5) | |
| A reaction: This seems to be Quine's reason for abandoning the Frege-Russell logicist programme (quite apart from the problems raised by Gödel. |
| 8465 | Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein] |
| Full Idea: The theory of mereology has had a history of being exploited by nominalists to achieve some of the effects of set theory. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.3) | |
| A reaction: Some writers refer to mereology as a 'theory', and others as an area of study. This appears to be an interesting line of investigation. Orenstein says Quine and Goodman showed its limitations. |
| 3599 | Deduction shows entailments, not what to believe [Williams,M] |
| Full Idea: The rules of deduction are rules of entailment, not rules of inference. They tell us what follows from what, not what to believe on the basis of what. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.18) |
| 8452 | Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein] |
| Full Idea: In traditional logic from Aristotle to Kant, universal sentences have existential import, but Brentano and Boole construed them as universal conditionals (such as 'for anything, if it is a man, then it is mortal'). | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.2) | |
| A reaction: I am sympathetic to the idea that even the 'existential' quantifier should be treated as conditional, or fictional. Modern Christians may well routinely quantify over angels, without actually being committed to them. |
| 8475 | The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein] |
| Full Idea: The substitution view of quantification explains 'there-is-an-x-such-that x is a man' as true when it has a true substitution instance, as in the case of 'Socrates is a man', so the quantifier can be read as 'it is sometimes true that'. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.5) | |
| A reaction: The word 'true' crops up twice here. The alternative (existential-referential) view cites objects, so the substitution view is a more linguistic approach. |
| 8454 | The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein] |
| Full Idea: The 'natural' numbers are the whole numbers 1, 2, 3 and so on. The 'rational' numbers consist of the natural numbers plus the fractions. The 'real' numbers include the others, plus numbers such a pi and root-2, which cannot be expressed as fractions. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.2) | |
| A reaction: The 'irrational' numbers involved entities such as root-minus-1. Philosophical discussions in ontology tend to focus on the existence of the real numbers. |
| 8473 | The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein] |
| Full Idea: The question to be posed is whether is-a-member-of should be considered a logical constant, that is, does logic include set theory. Frege, Russell and Whitehead held that it did. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.5) | |
| A reaction: This is obviously the key element in the logicist programme. The objection seems to be that while first-order logic is consistent and complete, set theory is not at all like that, and so is part of a different world. |
| 8458 | Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein] |
| Full Idea: Modest ontologies are Nominalism (Goodman), admitting only concrete individuals; and Extensionalism (Quine/Davidson) which admits individuals and sets; but Intensionalists (Frege/Carnap/Church/Marcus/Kripke) may have propositions, properties, concepts. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.3) | |
| A reaction: I don't like sets, because of Idea 7035. Even the ontology of individuals could collapse dramatically (see the ideas of Merricks, e.g. 6124). The intensional items may be real enough, but needn't have a place at the ontological high table. |
| 3591 | We could never pin down how many beliefs we have [Williams,M] |
| Full Idea: Asking how many beliefs I have is like asking how many drops of water there are in a bucket. If I believe my dog is in the garden, do I also believe he is not in the house, or in Siberia? | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.11) |
| 3582 | Propositions make error possible, so basic experiential knowledge is impossible [Williams,M] |
| Full Idea: Propositional content is inseparable from possible error. Therefore no judgement, however modest, is indubitable. So if basic experiential knowledge has to be indubitable, there is no such knowledge. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 8) |
| 3592 | Phenomenalism is a form of idealism [Williams,M] |
| Full Idea: Phenomenalism is a form of idealism. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.12) |
| 3579 | Sense data avoid the danger of misrepresenting the world [Williams,M] |
| Full Idea: The point of insisting on the absolute immediacy of sense data is that representation always seems to involve the possibility of misrepresentation. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 8) |
| 3581 | Sense data can't give us knowledge if they are non-propositional [Williams,M] |
| Full Idea: Acquaintance with sense data is supposed to be a form of non-propositional knowledge, but how can something be non-propositional and yet knowledge? | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 8) |
| 3564 | Is it people who are justified, or propositions? [Williams,M] |
| Full Idea: What exactly is supposed to be 'justified': a person's believing some particular proposition, or the proposition that he believes? | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 1) | |
| A reaction: A key distinction. See my comment on Idea 3752. What would justify a sign saying 'treasure buried here'? People can be justified in believing falsehoods. How could a false proposition be justified? |
| 8851 | Coherentists say that regress problems are assuming 'linear' justification [Williams,M] |
| Full Idea: From the point of view of the coherentist, Agrippa's Dilemma fails because it presupposes a 'linear' conception of justifying inference. | |
| From: Michael Williams (Without Immediate Justification [2005], §2) | |
| A reaction: [He cites Bonjour 1985 for this view] Since a belief may have several justifications, and one belief could justify a host of others, there certainly isn't a simple line of justifications. I agree with the coherentist picture here. |
| 3595 | What works always takes precedence over theories [Williams,M] |
| Full Idea: A theory that represents working practices as unworkable is a bad theory. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.13) | |
| A reaction: Good point. There's a lot of this about in epistemology, especially accusations of circularity or infinite regress, which (if true) don't somehow seem to worry the cove on the Clapham omnibus. |
| 8849 | Traditional foundationalism is radically internalist [Williams,M] |
| Full Idea: Traditional foundationalism is radically internalist. The justification-making factors for beliefs, basic and otherwise, are all open to view, and perhaps even actual objects of awareness. I am always in a position to know that I know. | |
| From: Michael Williams (Without Immediate Justification [2005], §1) | |
| A reaction: This is a helpful if one is trying to draw a map of the debate. An externalist foundationalism would have to terminate in the external fact which was the object of knowledge (via some reliable channel), but that is the truth, not the justification. |
| 3580 | Experience must be meaningful to act as foundations [Williams,M] |
| Full Idea: If we are to treat experience as the foundation of knowledge, then experience must itself be understood to involve propositional content. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 8) | |
| A reaction: This sounds right, but since pure 'experience' obviously doesn't have propositional content, because it needs interpretation and evaluation, then this strategy won't work. |
| 8853 | Basic judgements are immune from error because they have no content [Williams,M] |
| Full Idea: Basic judgements threaten to buy their immunity from error at the cost of being drained of descriptive content altogether. | |
| From: Michael Williams (Without Immediate Justification [2005], §4) | |
| A reaction: This is probably the key objection to foundationalism. As you import sufficient content into basic experiences to enable them to actually justify a set of beliefs, you find you have imported all sorts of comparisons and classifications as well. |
| 3578 | Are empirical foundations judgements or experiences? [Williams,M] |
| Full Idea: Empirical foundationists must decide whether knowledge ultimately rests on either beliefs or judgements about experience, or on the experiences or sensations themselves. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 8) | |
| A reaction: This clarifies the key issue very nicely, and I firmly vote for the former option. The simplest point is that error is possible about what sensations are taken to be of, so they won't do on their own. |
| 8855 | Sensory experience may be fixed, but it can still be misdescribed [Williams,M] |
| Full Idea: The fact that experiential contents cannot be other than they are, as far as sensory awareness goes, does not imply that we cannot misdescribe them, as in misreporting the number of speckles on a speckled hen (Chisholm's example). | |
| From: Michael Williams (Without Immediate Justification [2005], §4) | |
| A reaction: [Chisholm 1942 is cited] Such experiences couldn't be basic beliefs if there was a conflict between their intrinsic nature and the description I used in discussing them. |
| 3576 | Foundationalists are torn between adequacy and security [Williams,M] |
| Full Idea: The foundationalists dilemma is to define a basis for knowledge modest enough to be secure but rich enough to be adequate. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 7) | |
| A reaction: ..And that is just what they are unable to do, precisely because adequate support would have to have enough content to be defeasibe or fallible. |
| 3577 | Strong justification eliminates error, but also reduces our true beliefs [Williams,M] |
| Full Idea: A strongly justificationist view of rationality may not be so rational; we want the truth, but avoiding all errors and maximising our number of true beliefs are not the same thing. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 7) | |
| A reaction: An interesting dilemma - to avoid all errors, believing nothing; to maximise true belief, believe everything. It is rational to follow intuition, guesses, and a wing and a prayer - once you are experienced and educated. |
| 3589 | Why should diverse parts of our knowledge be connected? [Williams,M] |
| Full Idea: Why should political theory ever have much to do with quantum physics, or pet care with parliamentary history? | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.11) | |
| A reaction: This hardly demolishes the coherence account of justification, since your views on pet care had better be coherent, for your pet's sake. It's a pity people can make their politics cohere with their ethics. |
| 3590 | Coherence theory must give a foundational status to coherence itself [Williams,M] |
| Full Idea: Coherence theory implicitly assigns the criteria of coherence a special status. …In so far as this status is assigned a priori, the coherence theory represents a rationalistic variant of foundationalism. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.11) | |
| A reaction: Nice move, to accuse coherence theorists of foundationalism! Wrong, though, because the a priori principles of coherence are not basic beliefs, but evolved pragmatic procedures (or something...). |
| 3571 | Externalism does not require knowing that you know [Williams,M] |
| Full Idea: From an externalist point of view, knowing about one's reliability is not required for 'first-order' knowledge. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 2) | |
| A reaction: Ah. 'First-order knowledge' - what's that? What we used to call 'true belief', I would say. Adequate for animals, and a good guide to daily life, but uncritical and unjustifiable. |
| 3574 | Externalism ignores the social aspect of knowledge [Williams,M] |
| Full Idea: A problem with pure externalism is that it ignores the social dimension of knowledge. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 2) | |
| A reaction: This seems to be contradicted by Idea 3573, which allows a social dimension to agreement over what is reliable. I am inclined to take knowledge as an entirely social concept. |
| 3569 | In the causal theory of knowledge the facts must cause the belief [Williams,M] |
| Full Idea: According to Goldman's early causal theory of knowledge, my belief that p counts as knowledge if and only if it is caused by the fact that p. This is sufficient as well as necessary, and so does not involve justification. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 2) | |
| A reaction: I take his theory simply to be false because what causes a belief is not what justifies it. I expect my mother to ring; the phone rings; I 'know' it is my mother (and it is), because I strongly expect it. |
| 3567 | How could there be causal relations to mathematical facts? [Williams,M] |
| Full Idea: It is not clear what would even be meant by supposing that there are causal relations to mathematical facts. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 2) | |
| A reaction: I agree, though platonists seem to be willing to entertain the possibility that there are causal relations, for which no further explanation can be given. Better is knowledge without a causal relation. |
| 3586 | Only a belief can justify a belief [Williams,M] |
| Full Idea: Justification requires logical rather than causal connections. That is the point of the slogan that only a belief can justify a belief. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.10) | |
| A reaction: It seems better to talk of 'rational' connections, rather than 'logical' connections. It isn't 'logical' to believe that someone despises me because their lip is faintly curled. |
| 3573 | Externalist reliability refers to a range of conventional conditions [Williams,M] |
| Full Idea: The radical externalists' key notion is 'reliability', which is a normative condition governing adequate performance, involving reference to a range of conditions which we decide rather than discover. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 2) | |
| A reaction: If we can decide whether a source is reliable, we can also decide whether a reliable source has performed well on this occasion, and that will always take precedence. |
| 3565 | Sometimes I ought to distrust sources which are actually reliable [Williams,M] |
| Full Idea: I may reach a belief using a procedure that is in fact reliable, but which I ought to distrust. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 1) | |
| A reaction: The tramp on the park bench who gives good share tips. The clock that is finally working, but has been going haywire for weeks. Reliabilism is a bad theory. |
| 3566 | We control our beliefs by virtue of how we enquire [Williams,M] |
| Full Idea: We control our beliefs by virtue of how we enquire. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 1) |
| 8852 | In the context of scepticism, externalism does not seem to be an option [Williams,M] |
| Full Idea: In the peculiar context of the skeptical challenge, it is easy to persuade oneself that externalism is not an option. | |
| From: Michael Williams (Without Immediate Justification [2005], §3) | |
| A reaction: This is because externalism sees justification as largely non-conscious, but when faced with scepticism, the justifications need to be spelled out, and therefore internalised. So are sceptical discussions basic, or freakish anomalies? |
| 3594 | Scepticism just reveals our limited ability to explain things [Williams,M] |
| Full Idea: All the sceptic's arguments show is that there are limits to our capacity to give reasons or cite evidence. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.13) |
| 3575 | Scepticism can involve discrepancy, relativity, infinity, assumption and circularity [Williams,M] |
| Full Idea: The classical Five Modes of Scepticism are Discrepancy (people always disagree), Relativity ('according to you'), Infinity (infinite regress of questions), Assumption (ending in dogma) and Circularity (end up where you started). | |
| From: Michael Williams (Problems of Knowledge [2001], Ch. 5) | |
| A reaction: I take Relativity to be different from scepticism (because, roughly, it says there is nothing to know), and the others go with Agrippa's Trilemma of justification, which may have solutions. |
| 3587 | Seeing electrons in a cloud chamber requires theory [Williams,M] |
| Full Idea: Armed with enough theory, we can see electrons in a cloud chamber. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.10) |
| 8457 | The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein] |
| Full Idea: The principle of conservatism in choosing between theories is a maxim of minimal mutilation, stating that of competing theories, all other things being equal, choose the one that violates the fewest background beliefs held. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.2) | |
| A reaction: In this sense, all rational people should be conservatives. The idea is a modern variant of Hume's objection to miracles (Idea 2227). A Kuhnian 'paradigm shift' is the dramatic moment when this principle no longer seems appropriate. |
| 3588 | Foundationalists base meaning in words, coherentists base it in sentences [Williams,M] |
| Full Idea: In the foundationalist picture the meaning of individual words (defined ostensively) is primary, and that of sentences is derivative. For coherentists sentences come first, with meaning understood functionally or inferentially. | |
| From: Michael Williams (Problems of Knowledge [2001], Ch.10) | |
| A reaction: Coherentism about language doesn't imply coherentism about justification. On language I vote for foundationalism, because I am impressed by the phenomenon of compositionality. |
| 8477 | People presume meanings exist because they confuse meaning and reference [Orenstein] |
| Full Idea: A good part of the confidence people have that there are meanings rests on the confusion of meaning and reference. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.6) | |
| A reaction: An important point. Everyone assumes that sentences link to the world, but Frege shows that that is not part of meaning. Words like prepositions and conjunctions ('to', 'and') don't have 'a meaning' apart from their function and use. |
| 8471 | Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein] |
| Full Idea: 'Socrates is human' is true if 1) subject referent is identical with a predicate referent (Nominalism), 2) subject reference member of the predicate set, or the subject has that property (Platonism), 3) predicate set a member of the subject set (Montague) | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.3) | |
| A reaction: Orenstein offers these as alternatives to Quine's 'inscrutability of reference' thesis, which makes the sense unanalysable. |
| 8484 | If two people believe the same proposition, this implies the existence of propositions [Orenstein] |
| Full Idea: If we can say 'there exists a p such that John believes p and Barbara believes p', logical forms such as this are cited as evidence for our ontological commitment to propositions. | |
| From: Alex Orenstein (W.V. Quine [2002], Ch.7) | |
| A reaction: Opponents of propositions (such as Quine) will, of course, attempt to revise the logical form to eliminate the quantification over propositions. See Orenstein's outline on p.171. |
| 7258 | The forefather of modern intuitionism is Richard Price [Price,R, by Dancy,J] |
| Full Idea: The forefather of modern intuitionism is Richard Price. | |
| From: report of Richard Price (works [1760]) by Jonathan Dancy - Intuitionism |