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Sunday, December 05, 2010

If we wonder how we can talk, do we also wonder whether ... ?

If I wonder whether it is possible to talk, it cannot be because I'm wondering whether 'it is possible to talk' is true.

I must be wondering in some other way - some way which requires interpretation. I must be in a potentially ambigous intentional state, whereas if I say that I wonder what day it is I cannot - by accident, for instance - be wondering something else.

If I say 'I wonder whether it is possible to talk?' you might be puzzled: I can't be believe we can't talk without rendering my statement uninterpretable. If my statment means anything, then I can't be seriously wondering.

Sunday, November 28, 2010

Some other rules we can't follow ...

If we can only give an account of rule following in terms of intentionality, then we need to be able to associate a particular rule with an intentional state. Lets say that the 'rule of addition' is what someone is following when we agree with them that they are adding.

We can render a number as a rule by representing it as 'the number that ... ' etc. In order to be a proper example of a number we need to be able to do certain things with it - e.g. determine whether another (arbitrary) number is greater or smaller than it, determine the outcomes of using it in certain arithmetical contexts etc.

It seems likely that the paradoxical numbers pointed to by Cantor, Borel, Gödel and Chaitin aren't fully numerical in this sense. There are arithmetical operations we can't do on them. (Are they like 'incomplete concepts'?).

A number like this can't be fully represented in terms of intentionaly tractable rules, and if we can only avoid Kripkean chaos by rendering rules in terms of intentional states - attributable to interlocutors in a (necessarily playable) language game - then these numbers begin to soften in the mist, as the idea of an 'intentionaly intractable' rule begins to look analytically incoherent.

Maybe Gödel's paradoxes only arise when we assume that we can construct these rules. He has put together a set of rules that defines validity for the system within which they are (presumably) validly constructed. Maybe we can only imagine doing this if we can imagine a rule that is independent of an intentional state - that is prior to, rather than depending upon, the possibility of attributing such a state.

To be able to do computations based on Peano's axioms and the relevant logical transformations is to be able to unambiguously follow certain rules (i.e. is to be able to avoid Kripke's chaos). We cannot show that we have avoided ambiguity by applying some further rules which, mysteriously, avoid Kripke's problem ...

We have to be careful of specifying rules which we cannot fully state, and which cannot (therefore) be defined in terms of an attributable intentional state. We should be careful of saying 'there is some rule such that following it would have the consequence X'; and, of course, of saying 'there is some number such that ...', particularly when we know this rule, or this number cannot be stated. This is the case when a rule is meta-specified as the rule which must be followed in order to validly state rules (and to attribute rule following).

Saturday, November 13, 2010

Language

Imagine a hierarchy:

(1) Mechanincal, natural.

At this level, we describe everything in terms of physical interactions. It is a world without semantic content.

There will appear to be only one way of describing the world mechanically, and we might think of this as 'reality'.

(2) Signalling

At this level, we divide the world into systems and sub-systems. These have formal characteristics which might be instantiated in a number of different physical ways. Each unit is attached to one or more other units by a 'channel' which has a 'band width'. The bandwidth is the number of different signals the channel can carry. Channels are asynchronous - they carry signals in one direction only. For synchronous signalling, we need more than one channel (even if both might be implemeted using the same physical substrate).

To be a channel, at least one possible signal must be 'useful'. By this, I mean something like: we can specifiy the conditions under which it would be sent, and what effect it has on its recipient.

The formal characteristics of the system as the rules that describe the behaviour of the units and the structure of the signals.

There will always be more than one way of dividing up level 1 in this way - it will be a matter of taste or convenience whether we describe some things in terms as internal structure of individual units or in terms of sets of interacting sub-units.

(3) Semantic

At this level, we give the signals and the behaviours 'meanings'. These are always provisional (Kripke). Perhaps we might say that the a meaning interpretation is a 'model' of the system, but perhaps this would be confusing.

In any case, this is the level at this we introduce intentional content. We can say 'Unit A has told Unit B that the temperature has reached 0 degrees', or 'Unit A has instructed Unit B to switch on the heater'.

(4) Validity attributing

A signal can be interpreted as an adjudication on the correctness or incorrectness of (a) a semantic interpretation or (b) its intentional content. Things get pretty wobbly at this stage. What is really going on here?

Particularly difficult issues arise if we interpret a signal as adjudicating on the correctness of our interpretation of it.

Is this a model people use? It looks like it to me. It can be partly 'unpacked' in some cases, and this contributes to the illusion.

But the whole thing is an 'interpretation' ...

Monday, November 08, 2010

Talking about semantic content

Does this make sense:

Giving semantic content is like giving a dictionary definition. If you already know how to speak the language, it gives you a way of extending your ability at the margins.

Its similarity to rendering formal syntax is misleading: of course we can write down some rules - this is not a useful model, though, because of the OQ arguments. We can only write down some rules if we can already write down something.

And dictionary definitions are only really useful if we also have some tacit 'hooks'. If we have only synonyms, then the only argument for replacing the synonym with the defined word will be convenience - we can say something more quickly, or in a less clumsy way.

We have to be able to show as well as tell.

We might, like the ordinary language philosophers and the linguists, articulate the way we talk. As we do this, we change the way we talk - words have their meanings 'tidied up', and so changed. Sometimes they are changed in more dramatic ways, that we take time to articualte (as scientific terms change meaning - space, mass, distance).

Discovering how we talk, how we can talk, and what the world is like are not three different enterprises.

What's wrong with the picture theory of language is what's wrong with semantic content, and also what's wrong the 'languages of thought'. This isn't to say that these models, these metaphors, have no empirical value - they may be important heuristics for certain kinds of studies. They just can't answer any interesting epistemological or ontological questions.

Sunday, November 07, 2010

Chomsky, Davidson, & learning ...

This may be a caricature.

Once I learn to ride a bicycle, I can ride it through many landscapes. Once I can sing in tune, I can sing many tunes. There may be rules about following maps or reading music, but not about riding bicycles or singing in tune.

We can analyse map-reading metalinguistically. We can generate isomorphs of the map, or of a musical score. These things require us to be able to talk about them, agree about them, in certain ways. We can't do the same for the 'methods' of singing in tune or bicycle riding, both of which are needed for music and bicycle navigation.

While there are some rules of grammar and syntax, and some rules of meaning there are also just some things that we find that we agree about in practice - that just don't give us enough trouble for us to reflect on them. When we try to reflect on them ('how does reference work?') we find ourselves in a Wittgensteinian predicament. Some aspects of these things seem too obvious to remark on and yet too obscure to explain.

A language may well need generative meaning rules, but this is not all it needs. There must also be things we do not yet know that we will agree about - things we might call 'discoveries' when we encounter them. Discovering that we agree about something may look like new knowledge about the world or about ourselves. In many cases, it may be a matter of taste which - it may come down to metaphysical prejudice.

We can do something like following rules that we can not write down - we know this from the open question arguments. We also know that we learn to speak, and that we can learn to do things without being able to articulate the rules which govern them.

Where does this leave Davidson's argument for a constructive account of meaning? At least we know that if we tried to pursue his programme, the meanings of things we said about meaning would change ...

Saturday, November 06, 2010

Constructivist meaning

Suppose we had a set of Davidsonian meaning rules. Could the sentences constructed using these rules be arbitrarily long, or complex? We could not set a limit based on cognitive capacity, because this cannot be represented within the rules. How could we write down a limit that wasn't arbitrary?

Would we otherwise be committed to saying, for some 'long' sentences, that they had a meaning but it was not practical to work out what it was?

We might say that a complex computer programme, represented in a high-level language, has a 'meaning' in this way. As soon as we begin to summarise or analyse the code - in terms of it's functions, or into different functional 'blocks' - we are hostage to interpretive ambiguities.

Is this also true about a large piece of language? A book, or this blog?

Does the whole book have a 'meaning' which could be analysed in terms of a Davidsonian theory?

Wednesday, November 03, 2010

Interpretation

We can imagine a language without the tools to reflect on its own activity - one which functions, but which cannot be used to formulate validity rules or make intelligible attributions of truthfulness.

I think that there are commercial exchanges which take place in a languages like this. We shouldn't insist on interpreting them in terms their use of tokens we also use - they will certainly sound like nonsense if we do this. This is how we should undertstand Moore's paradox - as challenging the conventional meanings of the tokens it employs. Finding that a translation schema for an unknown language produced Moorean statements in critical contexts would invalidate the schema.

We can also imagine a language which does have the relevant capacities - a language in which it begins to be possible to do philosophy.

And we can imagine a language in which it is possible to speculate about how to interpret other languages - or other things as languages.

In our language, a comprehensive validation is one which shows that the falshood of a statement is inconsistent with the possibility of using the language. A comprehensive validation of an interpretation, then, would be a demonstration that the falsehood of the interpretation was inconsistent with the possibility using the language.

We know, from Kripke, that interpretations are always provisional. This doesn't mean that some specific interpretation cannot be ruled out, though. Can we imagine that someone who is quad/adding is actually playing chess? And if we cannot, is this a logical or a cognitive limitation? Is such an interpretation incoherent or just impossibly complex to apply?

Formally, the second seems more likely, but it isn't easy to work out what this means.

In any case, we don't need to worry about that - the interpretive judgements we are making are those that can be made intelligibly within the game we are presently playing.

Is there a problem with giving an account of what it is that we are interpreting, before we interpret it? Imagine a space with a dimension for every freedom of the human body, which could be used to describe any position that we might adopt. A function in this space could describe a movement. What would the function, or functions, associated with 'he waved goodbye' look like? How would we (a) distinguish them from others and (b) recognise them from the mathematics? This is like Wittgenstein on smiles which are only a millimetre too wide ...

We are good at finding the things in the world that we need to be able to recognise in order to be able to talk about it. We know this because we are able to talk about it. It is not a consequence of this that we must be able to say how this knowledge is acquired - contra Davidson. That something is possible is not the same as that it is explicable, or we would be able to explain the possibility of explanation, which is incoherent.

Friday, October 29, 2010

Models

A model provides a grammar and a vocabulary. When it 'works' we think there is some additional similarity, some isomorphism, which underlies this. All there is is a judgement - and we cannot speculate on whether such judgements are, in general, reliable.

Thursday, October 28, 2010

Talking about talking

We can imagine a language which doesn't have certain self-reflective capacities - e.g. which doesn't have an explicit truth predicate. This is because we would still be able to translate this language into the one we are presently speaking.

(We can't, of course, translate - or, therefore, imagine - a language which did have a truth predicate, but whose truth predicate worked in a significantly different way from 'ours'.)

Some language-like games might not be able to have a truth predicate. The introduction of a truth predicate (which would have to, again, be isomorphic with 'our' truth predicate) would render them unintelligible. Bargaining games are like this - when a salesman swears that everything in the brochure is true, we know he cannot be using 'is true' in the same way as, say, a logician or a natural scientist. On the other hand, the bargaining game would be unplayable if it was complemented by a logical or natural-science-style truth predicate, because this game depends upon a certain amount of conventional dishonesty. The extent of this dishonesty is explored by the participants in the game, but not explicitly explored - it is explored practically, by finding out what moves 'work' and what moves don't. Salesman do not make good philosophers, but this does not render the bargaining game intrinsically corrupt.

What would render it corrupt would be dishonest practice on the part of any players. I'm going to give a definition of this here which I'm not sure I can fully support, but which I think is roughly right:

Dishonest practice is practice which exploits the expectations of other players in a way which sacrifices the playability of the game to the instrumental aims of the practitioner.

Since the bargaining game cannot include a truth predicate, and since it is hard to construct a normatively self-reflective game without a truth predicate, it is possible that the bargaining game cannot be used to explictly adjudiate on honest practice. To test any practice against the definition, we would need to make a judgement about the objects and consequences of moves within the game - and particualrly about whethe a move rendered the game unplayable. This last, I think, would definitely require self-consious reflection on the possibility of truth-telling.

This raises a tricky moral issue: Can we, from outside, using a language with the capacity to articulate truth related issues, adjudicate on the language of the bargainers, which does not? We would be presuming to be able to translate this language, while knowing that we could not discuss the quality of this translation with the bargainers - we could not ask them whether the translation was correct.

We could, of course, learn to play the game. If we had an appropriate facility with it, we could then reflect on this facility using our native meta-language. This looks tricky: the character of our engagement would be different just because we had access to the meta-language. A physicist discussing mass with a weights and measures inspector does not participate in the weights-and-measures game in the same way as another inspector would.

This may be harmless. We certainly wouldn't want to say that the physicist and the weights and measures inspector didn't understand one another - we wouldn't want to say that they weren't able to play this game together. We would, however, find that their game became more difficult if it developed in a certain self-reflective way. There would be some truths about mass that they could only share by changing the game.

Wednesday, October 27, 2010

Natural Laws

We can't just say that it is a law of nature that nature follows laws.

What kind of law can this law be?

We can only talk about a predictable nature - anything else would be incomprehensible. Natural laws are the grammar of this talk.

Sunday, October 24, 2010

Conviction, Certainty and Argument

The world is careless of our phenomenological convictions - it produces them without warranting them. We might imagine that we have some 'evolutionary guarantee' that the internal products of our sensory apparatus contribute to our survival, but this comforting mythology can't be grounded, itself, in our phenomenological convictions; and Darwinian evolution selects on the basis of publicly available behaviours and characteristics - not on the normative character of intentional states. It is indifferent between lucky misconception and 'true knowledge'.

We might argue that, over time, evolution would tend to weed out ignorance and misconception. There isn't any evidence for this beyond our own, present, existence. This existence, though, is the outcome of just one of many rolls of the evolutionary dice; and we know already that it is very probably temporary. Attributing intentional states to past 'evolutionary successes' in support of a phenomenological evolutionary epistemology would be circular and gratuitous.

It is absurd to say that our whole language game is reliable because it has 'survived' an evolutionary process which can only be given an intelligible account of if the game is reliable ...

Saturday, October 16, 2010

Martian intentionality

And we couldn't unambiguously attribute intentional states to them - such as knowing how to tell the truth in Human.

Friday, October 15, 2010

Goodman, chess machines, and physical standards

It's as though we decided to mean by 'green', 'parrot coloured'. Now a previously grue parrot would remain green, but the meaning of green would change.

Chess playing computers

While we might learn a lot about chess from the behaviour of a computer, and might learn how to play from such a computer, we cannot define chess in terms of the computer's behaviour. The rules of chess determine whether the computer is playing correctly - they are not tested against the behaviour of the computer.

This is also true of people: we might believe that people act rationally, but we cannot define rationality in terms of the behaviour of any individual or group - however apparently exemplary.

This extends to their internal 'behaviour' - no neurological account of brain processes can capture the normative aspects of rationality, just as no actual 'or' gate could count as the effective standard for the logical operator.

Under certain circumstances, we might have to choose between deciding that the standard meter had grown or that our prior measurements all needed to be proportionally corrected. If we standardise the meaning of 'or' on the behaviour of an 'or' gate, the meaning of 'chess' on the behaviour of a computer, or the meaning of 'rationality' on either a neurological process or the behaviour of an individual or group, we do not know what adjustment this might lead us to have to make - we do not know what changes in meaning we might have to accomodate.

The standard metre can only change in one way, resulting in a uniform scalar adjustement to length. The standard 'or' gate could change the meaning of 'or' in a way which rendered the world unintelligible.

The standard chess computer might redefine chess in terms of any option available to it - whether or not it was functioning correctly.

Monday, October 11, 2010

Rules and Laws

So I think this is where I am:

Language requires attribution of intentional states, and is 'a priori' possible or we wouldn't be able to say so.

Certain irreducible intentional states - 'thoughts' (Frege?) - cannot be expressed unless it is possible to attribute generic properties. Predication requires universals.

To know how to talk is, among other things, to know how to attribute these generic properties.

Also - 'X knows how to talk' attributes some specific generic properties, including the ability to follow rules, to X.

To be able to attribute universal properties is part of being able to talk, it is part of being able to follow the rules of talk.

Asking whether the world 'really' contains universals (including whether it 'really' follows general laws); or asking whether certain people 'really' follow rules is like asking whether it is possible to talk about the world, or whether these people do, in fact, talk. It's a Moorean error - a question which can only have one answer if it is to make any sense at all.

To talk about a world is to talk about a world of this kind.

Wednesday, September 15, 2010

Rules and Intentionality

Various people (Crispin Wright, Ruth Millikan & others) have drawn attention to a potential role for intentionality in resolving Kripke's paradox, since intentional states seem to have the scope and reliability we would wish to attribute to competent rule-following.

I think it would be a mistake to take this (as Millikan and Wright do) as a cue for producing a better account of intentionality, if by 'account' we mean 'reductive account'. For reasons that I've probably laboured elsewhere in this blog (more open questions ...), I think any reductive account is almost certain to generate a version of Kripke's paradox.

An account of intentionality in terms of physical behaviour (e.g. of a machine) is obviously ruled out by this kind of objection, since questions about the reliability of the machine would always make sense - and these questions would be questions about whether the machine appropriately fulfilled its function; whether it appropriately 'modelled' the intentional state it was meant to underpin.

It is difficult to think of how a reductive account could be given that could avoid this machine model objection.

In concert with accounts of truth and meaning (to which intentionality is obviously related), a recursive account can, however, be given. Since we have to be able to attribute intentional states in order to be able to speak, and since we can speak, we can start with the intentional states we must be able to attribute in order to be able to have this conversation (we don't need a complete list - just an articulable selection).

Following from this, we can give an account of rule following in terms of these intentional states, or from others that depend upon them. To follow a rule is to act in accordance with an intentional attribution.

Friday, September 03, 2010

Intentionality and rules

If I am in a certain intentional state - say believing something particular to be true (that today is Friday), then I will in general behave and speak in a ways that is consistent with this. The ways that might be consistent cannot be spelled out in advance, and not only because they are complex - also because unexpected situations will arise.

Who will adjudicate? I and my interlocutors, playing the shared language game within which the statement of my intentional state is held to be true. The intelligibility, the playability, of these adjudications will be one part of what makes the whole game possible; and if the become idiosyncratically unintelligible then so does the original statement of my intentional state - we will find that we did not know, after all, what we meant by attributing this state to me.

This process of adjudication and exploration is what the history of mathematics reveals to us about addition. Someone who has been quadding so far, but thinks they were adding, is not a competent participant in this conversation.

Saturday, August 28, 2010

Language Machines

What we actually say to one another is only philosophically interesting as a guide to what we can say to one another. And the limits of what we can say are not the limits of what we can think, from an internal, phenomenal perspective - although they do determine the limits of the thoughts we can attribute to one another. Further, the thoughts we can attribute to an interlocutor within the conversation we are having with him or her are more constrained than the thoughts we can attribute to someone with whom we are not having a conversation - or even cannot have a conversation. We can only incorrigibly attribute thoughts to an interlocutor (corrolary to Kripke).

I can say of someone 'he believes it is impossible to talk', but I cannot say to you 'you believe it is impossible to talk'. And 'I believe it is impossible to talk' directly undermines its own meaning, so must be false if it means anything. My attribution of this thought to someone is always corrigible, however.

We cannot attribute thoughts without attributing rule-following. (I think this is what Frege believed). And there are other reasons why rule following and intentionality go hand in hand. One is (again) to do with Kripke's paradox - we cannot define rule following in terms of behavioural descriptions which do not, themselves, refer to rules. This can be extended: we cannot define a rule in terms of the behaviour of any actual mechanical system. We cannot define 'or' in terms of the behaviour of some specific 'or' gate (a physical logical standard equivalent to the standard metre) without having some guarantee that the gate would never fail - and this guarantee obviously couldn't depend on the behaviour of some further physical system. What would count as failure is an irreducibly normative, and not simply a mechanical, issue.

To someone of a certain physicalist bent, this will sound wrong: after all, are we not, ourselves, physical sytems? How can we speak to one another if our speaking to one another requires the attribution of intentionality and rule following, while agreeing that rule following cannot be rendered physically?

This would be a reasonable question if it could be posed from outside our linguistic system (independently of all questioning and answering), but no quesiton can be posed from that standpoint. The most abstract, self-referential questions are still moves within the game. And if we cannot play the game without following rules then we must be able to follow rules - regardless of the clash with physicalist intuitions.

A more reductive, rather than reductio, response to the physicalist is to point out that physicalism can only be given substance by attributing rule based behaviour to 'nature', and this cannot be an outcome of grounded discovery. When we state a physical law we say that some things 'always' or 'everywhere' (given appropriate context) behave in some way (and, of course, the scope of any hypothetical law is itself, stated unconditionally: 'this only happens here' is not local even if 'this' is). Counterexamples, infamously, can be dealt with semantically as well as hypothetically. We discover and define as we go along - we find out a property, and then use it as a test (as in the boiling point of a liquid). We render the world intelligible by showing how it can be described - by discovering how we can talk about it, and, therefore, what thoughts about it we can attribute to interlocutors. (I might, as usual, add 'honest and competent' to 'interlocutor' except that these adjectives also directly determine the applicability of the descriptor - what would a dishonest and incompetent interlocutor look like?)

In other words, we can only construct the physicalist metaphor if we can talk to one another, and we can only do it by rendering the world in a way which appears, already, to contain semantic elements. This does not make it a bad metaphor, but it does make it an irreducible one - it can only ever be a heuristic, not an epistemological or metaphysical fundamental.

'We can talk about the world' is a fact about the world, but it cannot be given an 'account' of in terms of some other 'facts' that do not, already, depend upon it.

It is clear, in one sense, from all of this, that we can think of things that we cannot make. We cannot make a machine sufficiently reliable to be a standard for 'or', for instance; though we can know how 'or' works and, therefore, how such a machine should work if it could be constructed. Our best machines of this kind (the ones we can almost completely rely on) depend on aspects of our world that are most semantically secure. We would hardly know what physics was if we couldn't rely on the mechanisms from which our computers are built - and by this, I mean that we would regard someone who questioned these mechanisms as asking unintelligible questions. To have them break down would be like having an intelligent friend suddenly begin to talk nonsense. We could have no conversation with this friend within which we could explore the nature of the nonsense. To find some radical error in physics would be like finding that everyone had been talking nonsense - a discovery that could not be articulated, because there would be no language to articulate it with; a discovery that could not be scientifically demonstrated because the tools of demonstration themselves could not be relied on ...

In a way, our science says: 'If the world were a perfect machine which followed these (specified) rules, then it would behave in this way'. But the rules of this machine are explicit rules - rules which can be articulated. We cannot appeal, for their 'reliability', to some more metaphyscially fundamental machine, because the rules specifying this machine could not be written down in any language we could translate (and so in anything that we could recognise as a language at all). We can't make sense of the question 'what rules must I be following, in order to be able to follow a rule?', nor of the question 'what rules does the world follow so that we are able to securely describe it as following rules?'

Thursday, August 12, 2010

Semantic games

The 'language game' metaphor has unfortunate overtones. It suggests triviality, and also that we might play the game in other ways - that we can make up rules any way we like. It also has another disadvantage, that is more directly related to Wittgenstein's exposition of it -

The 'pieces' in Wittgenstein's game - the words, sentences etc. - are caricatured as 'tokens', whose 'meaning' is given by their role in the game. This is fine, so long as we realise that this is a metaphor, and that it can' t be pushed too far.

If we're playing chess, it's easy to see how we might swap certain pieces - use the piece normally used as a knight as a bishop, and vice versa - and still be playing the same game (or one which is only trivially different). This is because we can usually identify the pieces separately from their role in the game. Someone completely unfamiliar with the rules of chess could learn the correct names for the pieces and be able to use them in our conversation (although in a specifically limited way). They could pick the right pieces from the box in response to appropriately worded requests, or they could make a list of 'all the chess pieces', or they could weigh them and come up with the same results as someone who could play chess etc.

This is not the case with language in general, even if it seems to be the case for some restricted games like chess (but see below).

We might think of a parenthesised or quoted word as a token - "word" or "knight" - for instance, and imagine a certain way of identifying it that doesn't take account of its 'meaning' (role in the game). This is necessary, for example, if we are to programme a computer to process strings which encode linguistic moves. My computer does not 'understand' what I am typing, but it must be able to reliably distinguish some strings of characters from others in order to function as an appropriate channel for our communication. The routines developed to achieve this can also be enhanced to do spell checking and even some translation.

Notoriously, we can also, to the point of practical incoherence, swap these pieces between roles without altering the 'meaning' of what we are saying.

What we cannot do is give an account of language use completely in terms of tokens and rules - even if we enhance this ('syntactical') account with a mechanical account of how certain tokens are related (in a functional, non-ambiguous way) to certain features of 'reality'. This is because (OQA) this account itself depends upon the correct 'intepretation' of the tokens which are used to encode it.

While we might demonstrate that some games (e.g. versions of chess in which token allocations are different) are 'isomorphic' in some important way, we can only give an account of this isomorphism, itself, within a playable language game. The syntactic/mechanical story says, roughly, that our whole language (and all intertranslatable with it) is isomorphic with some general set of syntactical rules and semantic/mechanical allocations and that it can be used to state these rules and define these allocations.

The 'game' is not like this - it is irreducibly semantic. If the rules of chess only defined playable moves in terms of the names of the pieces (without descriptions), the actual bits of hardware could look like anything at all, so long as they could be matched to the names - and the 'meanings' of the names would be given entirely in terms of the rules of play. In this circumstance, a non-player could not name the actual pieces - pieces in a box, and not on a board (in play), would not even have names, because the could be used to fill whatever 'logical' role we liked. And if a possible move in chess was to (re-)define how a piece could move ...

Irony and Gettier

The Gettier counter-examples depend upon someone's thinking that they have a justification for a belief when, unknown to them, they do not - even though the belief itself is true.

These depend upon an 'irony' in the sense that the audience for the counter-examples knows something that the subject in the counter-examples does not. Irony cannot survive audience participation, however - as demonstrated in pantomime.

The justification in a Gettier example cannot work in the context of a shared conversation between the subject and the audience - if I know that Farmer Franco has mistaken a large piece of black and white cardboard for his cow Daisy, then I cannot accept his justification that he has seen Daisy and so knows that Daisy is in the field. I can only accept that he believes it, and that his belief is true.

In any ('honest and competent') conversation with Franco, either what he saw, or what I saw, or (perhaps) what counts as justification, would have to be in play.

This is an exact parallel with the solution to Kripke's paradox, because it depends upon attribution of intentional states within a shared conversation.