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  • Wittgenstein, Dummett, and anti-realism

    Alright, so I want to see if we can work our way back toward the OP.

    If we want to link meaning and truth conditions, we want not the word "gold" on its own, but the one-place predicate "... is gold". Then "Gold melts" comes out as a conditional, "If x is gold, then x melts."

    Our hypothetical population correctly uses the predicate "... is gold" but incorrectly treats the conditional "If x is gold, then x melts" as false. But because they cannot (or do not) achieve temperatures at which gold would melt, then there are sentences they count as true for the wrong reason: place a golden idol over a campfire and they will say "It will not melt," which is true.

    In fact, all of their statements about gold (and other metals) would be true if we substituted for "melts" something like "melts at temperatures we observe". Or maybe a better approach, more suitable for the campfire example, is "melts at this temperature". We can take "melts" as carrying with it an implied indexical.

    In fact, the problem with our folks is the invalid inference from "We have only observed temperatures under 1500F" (say) to "There are only temperatures under 1500F." There may be scientists (or even philosophers!) among them who suggest they should really be saying "Gold has not been observed to melt at temperatures we have observed." (That will look like pedantry to some people, as just another way of saying, "Gold has not been observed to melt." Of course we have only observed the temperatures we have observed!)

    All of these considerations seem to relate to the beliefs of our population rather than to the meanings of their words. But the sort of competence we were looking for should give us a way of mapping words onto observations, what we might describe as associating meanings with truth conditions.

    The questions we are trying to get to have to do with how that function is constrained by its domain and by its range, by the domain of observations or possible observations, on the one hand, and the range of meanings that will get us from truth conditions, observed or not, to words, on the other.
  • Wittgenstein, Dummett, and anti-realism

    I agree, but it's a complication I was putting off.

    So are you inclined to say that people who think gold doesn't melt know how to use the word "gold"?
  • Wittgenstein, Dummett, and anti-realism
    the extension/intension distinction doesn't matter here. to use 'gold,' you have to be able to pick out samples of gold – that doesn't just mean happening to point to the right samples, it might also mean using 'intensional' capacities that allow you to figure out which things are gold. to do this, however, you may very well need only a superficial sensory clue, as to its color for example. gold, of course, is infinitely complex beyond this mere sensory signal.The Great Whatever

    But whether the word "gold" has been used correctly doesn't depend on whether you just happen to be pointing at the right sample or used some sensory clues or something. You don't even have to know that it's gold.

    Of course all that only holds under interpretations that map "gold" to gold.

    My understanding of your view was that you're using the word "gold" right so long as you use it to pick out gold. When you talk about gold, you're talking about a substance that has properties you don't (and maybe can't) know about, but that doesn't mean you're using the word wrong.

    whatever goes on beyond our recognition won't affect how we use our languageSrap Tasmaner

    Yeah, that was very poorly expressed. Of course it would "affect" our language use, vaguely described. The issue I was aiming at was whether things we don't or can't know would show up in the meanings of our words. And they needn't, if we can still use the word "gold" correctly without knowing all sorts of things about gold.

    For instance, suppose in the absence of temperatures at which gold melts, a population believes gold does not melt. We could say they're using the word "gold" correctly -- to pick out gold -- and have a false belief about it, about something they are successfully referring to; or we could say that "metal that does not melt" is part of the meaning of "gold" for them. In one sense, it doesn't matter, because in the circumstances in which they use the word "gold", their version of the word overlaps completely with the version that includes "melts above 1948F".

    I'm not really seeing how "meaning" helps here. (Unless there are possible worlds in which gold doesn't melt, and I don't know how to figure that out.) In which case, we stick to what you said at first, that these folks are using the word "gold" correctly and have a false belief about gold. (All this hangs together: we can only say they have a false belief about gold, because we say they're using the word "gold" correctly.)

    So the fact that there's a property of gold they cannot know doesn't affect whether they're using the word correctly. But the melting point of gold affects them in that they form a false belief about gold. It affects their language use in that, if asked to list metals that can melt, they won't list gold. But that's still using the word "gold" correctly, just saying something false about gold.

    Are we on the same page up to here?
  • Wittgenstein, Dummett, and anti-realism
    things we don't know about will very much affect us, and our language useThe Great Whatever

    Then I misunderstood. I thought you had said all there is to using the word "gold" correctly was getting its extension right, which you can do whether you know or can know everything about gold.
  • Wittgenstein, Dummett, and anti-realism
    I think the conflict here is inevitable, because there are intensional and extensional aspects to language.

    If you approach things from the intensional side, you get a clear view of how a population uses words. If you approach things from the extensional side, you get a clear view of what it means for a statement to be true.

    The intensional, use-oriented approach has trouble accounting for truth. I take this to be @The Great Whatever's point, and it is well taken.

    From the other side, we have Dummett's argument that truth alone does not explain how a population uses language.

    Mostly the two camps talk past each other. Dummett is attempting to extend the reach of the intensional account into the extensional camp's home territory: whatever goes on beyond our recognition won't affect how we use our language. Even TGW essentially admits this by allowing that we may have the practical ability to use a word, say "gold", without knowing everything about gold. It's also not clear if the extensional camp can provide any account for that practical ability.

    But the intensional camp still has no plausible account of truth, and has trouble explaining how the meaning of the word "gold" can be extended beyond the sort of situations in which it has heretofore been used.

    It's clear that the battleground is truth, and that ideally we'd be able to combine the two approaches. David Lewis tries in Convention, but I haven't made much sense of the last chapter. :-(
  • Wittgenstein, Dummett, and anti-realism

    Whether philosophy as a whole or my approach to it are intellectually bankrupt is off-topic here. We should have ended this long ago.
  • Wittgenstein, Dummett, and anti-realism
    the fitch argument is super duper simpleThe Great Whatever

    I think there's room for debate.
  • Wittgenstein, Dummett, and anti-realism
    why do philosophy if you've decided a priori that whatever prejudices you currently have are sufficient to refute any argument?The Great Whatever

    Oh no! I wouldn't say that at all. I am intensely curious about everything I've mentioned in this thread, and open to being persuaded either way. My resistance to an argument or an approach is a hurdle it must clear, that's all.
  • Wittgenstein, Dummett, and anti-realism

    I see your point, yes.

    There were two different stands of thought there I was trying to keep separate. I even numbered them: one is Dummett's intuitionist response; one is my own sense that there's something odd going on in Fitch's argument.

    The first time Dagfinn Føllesdal saw the slingshot argument in Word and Object (iirc), his immediate reaction was, roughly, "There's no way that's right." People do feel that way about Gettier, and I feel that way about Fitch's paradox. All three have produced cottage industries attempting to refute them.

    I don't have handy a refutation of any of those arguments, but I still don't trust them.

    That's not to say there isn't much to be learned from arguing about these, and about the Liar, for that matter. But I do not feel compelled to accept Fitch's argument as a refutation of anything.
  • Wittgenstein, Dummett, and anti-realism

    I don't know what to tell you.

    It's a thread largely about Michael Dummett. I've been doing my best to make sense of his position. If you're asking which side I'm on or something, I'm really not inclined to commit at the moment. Why should I?
  • We Need to Talk about Kevin
    It's their choice not to speak anymore if that is the case, no?Agustino

    Sure. The question is whether we as forum members give people reasons to continue speaking or reasons not to.

    For example -- note I am not attributing anything to you here -- the "logical content" of the following is the same:

    "I respectfully disagree."

    "Only a moron would think that!!!"

    Both are ways of saying "That's false" but one contributes to the health of the forum and one really doesn't.

    My point has only been that we should be mindful of not only the philosophical import of our words, but their effect on the health of the forum. It's a matter of faith, perhaps, that the latter would also lead in the long run to better philosophy.
  • Wittgenstein, Dummett, and anti-realism
    i think there's some confusion in thinking the way logical systems work is that you can simply 'choose' to use whichever system you like to validate or invalidate any proof.The Great Whatever

    Then it's a good thing this is not what Michael Dummett did.
  • Wittgenstein, Dummett, and anti-realism
    there's no persuasion to be done, it's a proofThe Great Whatever

    I'll say two things about Fitch's:

    1. If you use intuitionist rules of inference and interpret the logical constants along intuitionist lines, you might be okay, as Dummett is, saying "p→~~Kp" but that's not saying "everyone is omniscient."

    2. I put it in the same box with the slingshot argument and Gettier cases. They're fascinating, but I am far from alone in feeling that a logical fast one is being pulled.

    if you can't imagine that there might be something you can't know,The Great Whatever

    I don't really know what to say about this, so I'm going to go away and think about it for a while. It's an interesting question I honestly haven't thought about, so you have my thanks for raising the issue.
  • We Need to Talk about Kevin

    "Less inclined to speak" which you put entirely on them if you want, but the circumstances matter.
  • Wittgenstein, Dummett, and anti-realism

    I don't find Fitch's persuasive at all.

    just imagine any situation where you can't know something, & it will still be able to affect you whether you can know it or notThe Great Whatever

    Does that rule out talk about the future as our example?

    If there are or are not such possibilities, how would we figure that out? Examples don't seem to be doing the trick.
  • Wittgenstein, Dummett, and anti-realism
    construct the example such that there's no way for you to knowThe Great Whatever

    I think statements about the future might fit the bill.

    Thoughts?
  • Wittgenstein, Dummett, and anti-realism
    making predictions among your friends or placing a wager on the outcome of the show is not the same sort of activity as stating factsSrap Tasmaner

    And here's the thing: everything else I've been doing around here lately is pushing me toward thinking these actually are very similar activities. But all that's still up in the air ...
  • The Principle of Bivalence and the Law of the Excluded Middle. Please help me understand

    Dude, I may be a little further along than you, but don't think I don't struggle to understand this stuff! Totally worth it though, so keep at it.
  • We Need to Talk about Kevin
    We are talking about something like the antinomy of democracy as a model for doing philosophy: open, honest exchange of ideas should lead to better philosophy. But if some of those expressions drive people away or silence others, that's not what we wanted.
  • Wittgenstein, Dummett, and anti-realism
    If GRRM had that as part of his outline for how the series ends, then yes. Otherwise, the truth value becomes determinate in the future.Marchesk

    I think the most that could get you is "GRRM planned to have Jon Snow sit on the Iron Throne" but that can be followed by all sorts of stuff -- who knows what the producers actually end up doing. Jesse was not supposed to be a major character in "Breaking Bad".
  • Wittgenstein, Dummett, and anti-realism

    I wouldn't say "equated". There's an "if and only if" between knowing one and knowing the other ...

    He does explicitly reject what's here called the "strong" view, and that means rejecting the idea that truth conditions explain meaning. I know one of the various arguments he tries is, roughly, that you can't possibly know whether the truth conditions of a sentence obtain if you don't already know what the sentence means. (Recognition again.)

    But then he himself has to come up with these sort of Quinean feature report sentences to get the linguistic ball rolling -- to learn the first words of your language there have to be sentencelets you can count as true ("true"?) like "Grass!" "Ball!" and so on that depend only on recognizing salient features of your environment. Otherwise you can never break into language.

    I've only muddied the waters, haven't I?

    Game of ThronesMichael

    As I clarified, I didn't mean to make an argument about statements about the future, but maybe I should have!

    Now to more muddiness ...

    Dummett may very well reject bivalence, if not across the board, then at least for this domain, statements about the future. He will not say, " 'Jon Snow will sit on the Iron Throne' is either true or false." But Dummett also rejects truth-value gaps, so he will not say, " 'Jon Snow will sit on the Iron Throne' is neither true nor false."

    Well?

    You might conclude that "Jon Snow will sit on the Iron Throne" is not really a statement, somewhat like a logical positivist. It's normally meaningful words put together to look like something you could assert but it isn't really.

    I don't think Dummett actually says that sort of thing anywhere, and Wittgenstein sort of quit saying it, and instead suggested wrapping it in a context where it could make sense -- making predictions among your friends or placing a wager on the outcome of the show is not the same sort of activity as stating facts. A prediction or a wager is not an assertion. Something like that anyway.

    I think Dummett's view must be near there, but it's never been clear to me.

    It does relate to the issue of how the meaning of a sentence is determined, and whether recognition-transcendent truth conditions can play a part. If the truth conditions of the assertion "Jon Snow will sit on the Iron Throne" are inaccessible, I think you conclude that this sentence cannot be used as an assertion in the usual way -- that you must be doing something else. And "what you mean" is tied to that.
  • Wittgenstein, Dummett, and anti-realism

    Dummett never accepted Davidson's view that truth conditions give you an account or an explanation of meaning. But they do run together, "agreement in judgements" and all that.

    If, as Dummett says, the meaning of a sentence is exhaustively determined by its use, I think you conclude that recognition-transcendent truth conditions can play no part in determining the sentence's meaning. That feels like it's allowing truth conditions to determine meaning, but only if you ignore the bit about recognizing that they obtain or not, which gets you back to how a population uses the sentence.

    Does that make sense? If that's right, then the answer is "yes".

    I'm not sure it's a sound doctrine though.
  • Wittgenstein, Dummett, and anti-realism
    Statements about the future look like they would be a clearer test case, since we're not inclined to allow knowledge of the future. But then there's a question about when such a statement is true: at the time of utterance, or at the time of evaluation?
  • Wittgenstein, Dummett, and anti-realism
    Against my previous post, it could be claimed that, in each case we think of, it is only contingent that a given truth could be known, that I haven't shown the knowability of the truth is necessary.

    We are now essentially debating verificationism, which isn't to @Michael's question: whether LW's approach to meaning leads, as it did for Dummett, to some form of anti-realism. I'm still not sure; it depends on how you take the connection between meaning and truth conditions.
  • The Principle of Bivalence and the Law of the Excluded Middle. Please help me understand

    Something @Nagase mentioned is helpful here, the idea of a designated value. With the 3-position light switch, there are two obvious ways to do this: entirely on, or one of the others; entirely off, or one of the others.

    Dummett uses the comparison of conditional bets to conditional commands. If I tell you not to leave without saying goodbye (i.e., if you leave, ...), not leaving (and not saying goodbye) counts as compliance. But if I bet you that if the Cubs make it to the World Series they'll win, and then they're knocked out in the NLCS, you don't owe me a thing.

    Then the question is, which one is assertion like? If you take "truth" as the designated value, you can allow various ways of not being true and lump them together. (More like a bet.)

    As for bivalence versus excluded middle: your standard switch can be in one of two positions; whether that also turns on the lights depends on whether there's power. Switch position is syntactic; lights going on or off is like adding an interpretation to your system that assigns truth and falsehood -- semantics. The first is LEM, the second PB.

    But the terminology is so confusing, it's best just to be explicit about what you're doing, even making up terms as Nagase did with "strong" and "weak" bivalence. It's the ideas that matter not the terminology.
  • We Need to Talk about Kevin

    At Titus Andronicus shows, Patrick Stickles makes this little speech about how not everyone has fun the same way, and asks the crowd to be aware of people around them if they want to get slammy. (I'm paraphrasing.) You can be punk and still be sensitive.
  • Wittgenstein, Dummett, and anti-realism

    An excellent response!

    I'm okay with distinguishing whether a sentence is true from whether someone happens to know it. Guesses can be right, sure.

    whether you know something is in principle distinct from whether it has any effect on you – suppose god sends people to hell who waste gold, but no one knows about this. will god's unknowable attitude affect you? yes, it'll send you to hell – your ignorance doesn't change that.The Great Whatever

    This is a little odd though.

    God clearly knows that gold is his favorite metal. If I end up in hell and don't know why, isn't it because he has chosen not to tell me? It still feels like a contingent matter that I don't know this, not that I am unable to. If a lot of us end up in hell and have eternity to compare notes, what would stop us from figuring out why we were there? Something contingent, like eternal torment.
  • The Principle of Bivalence and the Law of the Excluded Middle. Please help me understand
    This is a deductive conclusion which requires the further premise that if the upholstery of a thing is ugly, then so is the thing. Otherwise you have a fallacy of compositionMetaphysician Undercover

    Fair enough.

    I'd still say that informally talking about a part may often count as also talking about the whole, that this deduction is in fact made, or expected or implied.

    "What do you think of my new chair?"
    "Um, the woodwork's lovely."

    That's an answer that encourages the fallacious conclusion that the chair is lovely, when it's not, because the upholstery is ugly.

    The logical high ground here is yours; I'm just pointing out that the linguistics isn't always so simple.
  • The Principle of Bivalence and the Law of the Excluded Middle. Please help me understand
    If you're talking about the seat, you are talking about "the seat", and not "the chair". If you are talking about "the back" you are talking about "the back", not "the chair". Once you divide the chair into parts, such that you are now referring to "the back", or "the seat", or "the legs", each referring to different identified objects, and not "the chair" as a whole, it is contradictory to claim that you are talking about "the chair" when you are referring to "the back"or any one of the other parts. You are not talking about the chair, you are talking about a specific part of the chair.Metaphysician Undercover

    Are you sure about all that?

    I could see wanting to get clearer about the logical form of saying "partly ..." but I'd expect some variation there.

    If the upholstery of your chair is ugly, doesn't that make the chair ugly? Even if the woodwork is lovely.
  • Wittgenstein, Dummett, and anti-realism

    Thanks for replying. I'm always interested in your posts.

    Let's say that gold has whatever properties it has, whether we know it or not, whether we could know it or not, and obeys whatever physical laws whether we know it or not, whether we could know it it or not. Then gold being the way it is and acting the way it does will play a role in the way we think and talk about gold, even if we don't completely understand it. The situations in which there's gold to talk about -- it's never floating through the air or growing on trees, it never melts at room temperature, etc. -- what we can do with it and what we can't, etc.

    Given all that, I'm not sure that our hypothesis makes sense, namely that there is some property of gold we are unable to learn. What would that property be like? If it's a property that has no effect at all on the way we interact with it -- say, it was God's favorite when he was creating the universe -- then obviously it can never make any difference to how we think and talk about gold. If it does show up somehow, however indirectly, why wouldn't we be able to learn this?
  • Wittgenstein, Dummett, and anti-realism

    Sorry, I wasn't placing us before Season 3. I meant roughly as we have things in the real world, with 5 books and however many seasons of the tv show. You could think of the tv series as a simulation of the books that diverges; in the first season and a half, what characters on the tv show do and say is a reasonable guide to what happens in the books and vice versa. But after the divergence, what happens in the books and on the tv show no longer "happens" to be a guide to what happens in the other.
  • Wittgenstein, Dummett, and anti-realism
    @Michael
    Here's a variation on your simulation:

    Suppose the tv series "Game of Thrones" followed the book series exactly in Season 1, but began to diverge halfway through Season 2.

    Can we sensibly describe the behavior of characters in Season 3 (and later) in terms of what happens in the books?
  • Wittgenstein, Dummett, and anti-realism
    their competence in use of the term has to do w/ those properties, whether they know abt. those properties or can figure them out is simply irrelevantThe Great Whatever

    In the scenario you described, people would make no use of gold's melting point in teaching others how to use the word "gold", and by hypothesis could not, if the melting point of gold is something they are unable to know. They would make no use of the melting point of gold, and could not, in judging whether the word "gold" was being used correctly.

    This much is agreed, yes?

    Then what do you mean by "has to do with" in the above quote?
  • We Need to Talk about Kevin
    Let's talk like different (and differing) equals, rather than fighting like high-minded superhero warriors. Hopefully, it is not too late for that.0 thru 9

    This.
  • Wittgenstein, Dummett, and anti-realism
    The idea that the use of words has nothing to do with the world is ridiculous on its face.The Great Whatever

    Agreed. It's also not clear to me that either Wittgenstein or Dummett held such a position, if that matters.
  • The Principle of Bivalence and the Law of the Excluded Middle. Please help me understand

    That sounds like Hegel -- we were talking about logic. <ducks>
  • Wittgenstein, Dummett, and anti-realism

    Alright I'm confused.

    The meaning of a word is determined by its use. What use? Its use in sentences. What sentences?

    The answer to that cannot be just whatever sentences have already been uttered. That would be absurd. It has to be something like whatever sentences the speech community might utter.

    Just as they currently agree on how to use the word "yellow" and agree on what things are yellow, they will, faced with new objects, continue to agree on whether they're yellow or not. (Although you can imagine new objects requiring some revision.)

    But if you tell me there are invisible yellow unicorns, what am I to do with that? That's not how we use color words.

    I want to say it's "use" in the sense of "way of using" that matters, not "use" in the sense of "what people have said", if that makes sense. And a way of using a word takes in utterances in situations and for purposes like the ones we're familiar with from our actual uses of it, but not "uses" so called in situations that that differ fundamentally from these.

    I'm sure that's not clear, but we'll get it.
  • Wittgenstein, Dummett, and anti-realism
    Only the things that play a role in how we use the phrase are relevant, which in my analogy is the simulation.Michael

    I think it has to be "could play" rather than "play" there: what's being rejected is any role for something in principle inaccessible.
  • Wittgenstein, Dummett, and anti-realism
    Only the things that play a role in how we use the phrase are relevant, which in my analogy is the simulation.Michael

    I looked up the reference in The Logical Basis of Metaphysics, which I've not yet read, and you're on the right track here. (He does a thing, like your simulation, with glasses that invert your visual field.)

    We shall say that someone knows the meaning of the word 'yellow' just in case his judgements of what is yellow agree, by and large, with those of others. If, then, we call this his 'capacity to recognize the colour', his having that capacity is not a hypothesis which serves to explain the agreement of his judgements with those made by others; the agreement is that in which his having that capacity consists. — LBM, p. 314

    (Wow, Dummett's prose produces both awe and horror in me.)

    Off to work, but I'll come back later.