Monday, November 17, 2008
A Thought Out Loud
```````I
```````|\
```````|``\
```````|````\
(P) Mary Swims
```````|````|
```Mary*```Swims*
```````~I
```````|`\
```````|``\`\
```````|````\``\
(NP) Mary doesn't Swim
```````|````|```````|
``Mary*``Doesn't*``Swims*
It seems that the propositions differ. In the one case, we get Mary* and Swims* as constituents; and in the second it is Mary* and Doesn't* and Swims* we get.
The syntax are also different. We get instantiation in the one case, ~instantiation in the other.
Likewise for (1) and (2). I'll not do the LF stuff since it is too much...
(1) First order logic is undecidable
`````````|`````````|``````|
First-order-logic*```is*`````undecidability*
(2) It is not the case that first order logic is decidable
``````|```````````````````````|```````\`````|
`Its-not-being-the-case*`first-order-logic*`is*```decidability*
The proposition in (1) is made up of first order logic, the being relation, and undecidability. In (2) it is negation, first order logic, the being relation, and decidability.
Seems like quite different propositions.
I think my thinking is fine here.
Sunday, November 16, 2008
Is King's account too fined grained?
King considers whether his view individuates propositions too finely across languages. He wants us to think about the following three possibilities:
(A) At least some proposition(s) can be expressed in different natural languages.
(B) At least some proposition(s) expressed in one natural language can be expressed in any natural language.
(C) All propositions that can be expressed in one natural language can be expressed in any other.
Which do we accept?
1. If King's view is correct, then a proposition Q is expressible in different natural languages L and L' iff
(i) they contain sentences SL and SL1, whose syntactic structures at the relevant level of syntax are identical.
(ii) the semantic significance of these syntactic relations are the same.
(iii) the semantic values of the lexical items occurring in the same places in the syntactic structures associated with SL and SL' are identical.
2. King's view is correct.
3. So (A) entails a substantial empirical claim about the syntactic of the languages in question.
4. So (B) entails all languages to have sentences that are syntactically identical.
5. So (C) entails all languages to be structurally identical at the level of LF.
It seems we should conclude that (B) and (C) entail successively stronger and implausible claims about the LFs of natural language.
6. Thus, the entailments from (A) and (B) and (C) are too strong.
7. Because King's view makes them too strong, King's view is false.
This would, of course, make King unhappy. To see our way past this objection, we need to see that (A) differs from both (B) and (C) in its pretheoretical plausibility.
(A) is a sort of constraint on any theory of propositions. It is desirable for any theory of propositions to yield the result that 'Scnhee ist weiss' and 'Snow is white' express the same proposition.
1. If (A) is true then 'Scnhee ist weiss' and 'Snow is white' express the same proposition.
2. They do.
3. So (A) is true.
(B) and (C) contrast strikingly with (A). They are lacking pretheoretical plausibility.
Perhaps a more natural pretheoretical reading would be
(B') Some sentences of some language can be translated into any other language
(C') Any sentence of any language can be translated into any other language
Sadly, these rewrites only suppose the originals given a further assumption. We need to add that translation is pairing sentences which express the same proposition. So we need to ask: What is the evidence for (B') and (C')? How plausible is the additional premise?
Sometimes we do make strict translations, like in the case of 'Scnhee ist weiss' and 'Snow is white'. But usually in practice we make loose translation. We make what are closer to paraphrases.
It seems that the looser sense of translation is used to give a push for the pretheoretical plausibility of (B') and (C'). But this doesn't seem to help us bolster the case for (B) and (C), since they seem to rest upon the strict sense of translation.
To our questions we must answer: The evidence for (B') and (C') is the loose sense of translations. The additional premise is plausible given the strict sense of translation.
King thinks that it is a virtue of his theory that if we want to figure out whether (B) or (C) is true, we only need to look at the empirical evidence about language and do some theorizing about propositions. This lets King block the objection (6) above. (A) seems to be common-sense, and we should accept it. Whether (B) or (C) is true or not is an open question, perhaps.
Tuesday, November 11, 2008
'Elementary' trouble with King
King major claim is: There is such a thing as philosophical analysis, and my model can answer the five questions that (I think) a good theory of analysis should be able to answer (see chp 7 for these 5 questions).
For his theory of analysis to work, King requires that we accept three 'elements':
1st element: That "one must accept an account of propositions on which complex predicates contribute to propositions complex sub-propositional constituents that have properties and relations at their terminal nodes and that represent other properties".
2nd element: That "some properties and relations are complex, and have other properties and relations as components".
Here, King likes to use the example of the word "bachelor". He says that "bachelor" might be built up out of 1) being adult, 2) being male, and 3) being unmarried; and these are all in the conjuction relation. He also notes that properties can be built in ways other than conjunction (and he gives an example). Lastly on this point, he notes two more things:
1) That he does not have to explain how properties like this combine to make other properties, just as long as he can say it is part of a properties nature to be made up of combined properties like this.
2) That he is not necessarily committed to their being 'simple properties' (but he thinks there are - pg 200).
I think the latter of these two would make for some interesting discussion and controversy, but that would seem a little besides-the-point right now. Instead I would like to focus more on the 3rd element.
3rd element: That "there are three categories of words such that the words in a given category are all governed by the same standards of linguistic competence; but words in different categories are governed by different standards of linguistic competence".
Category #1) Linguistic competence: "one must be able to specify the componets of the property or relation expressed by the word and how those components are combined in the property expressed by the word".
Category #2) Linguistic competence: "one be able to reliably determine whether a given entity possesses the property expressed by e and to thereby know whether e applies to the entity or not"
At this point he notes that a category 1 word cannot be a category 2 word as well.
Category #3) Linguistic competence: He doesn't say what the linguistic competence is of category 3 words, just that they are "natural kind terms like water, tiger, aluminum...". These are words that fail to be governed by the standards of competence of C1 +C2.
I have problems with King's three categories. I think that category 2 words are not as distinct from category 1 words as King says they are. The linguistic competence for C1 words is that someone knows what properties they are 'built up out of', and the linguistic competence for C2 words is that someone knows everything (has sufficient information) about an entity so that they know whether it possesses a certain property or not. It seems to me that if you know exactly what a word is built up of (including the relations it has - something King conveniently leaves out of his discussion on purpose), then you should also have sufficient information to know whether it has a certain property or not. In fact, the 'sufficient information' would be precisely the properties and relations that you had to know for C1 words. In this respect, C2 linguistic competence would supervene on C1 linguistic competence, making the two categories really one and the same.
Without the ability to distinguish between category 1 and category 2 words (we don't even have to look at category 3 words now), King loses the ability to answer some of the questions he said an account should be able to.
I guess more formally:
1) If King's 3 word categories lose their distinction, element 3 must be rejected.
2) King's 3 word categories lose their distinction
3) 1 +2, therefore element 3 must be rejected
4) If King's theory of philosophical analysis is correct, then all 3 elements must be accepted
5) element 3 is not accepted
6) 4 + 5, therefore King's theory of philosophical analysis is not correct.
Paradox of Analysis
1. The concept Male Parent is the analysis of the concept Father
2. The concept Father = the concept Male Parent
3. The concept Father is the analysis of the concept Father
What leads us to befuddlement is that (1) should be true. (3) should be false. So what about (2)?
We might argue: "Look, (1) is true. The concept Male Parent and the concept Father mean the same thing. So (2) is true." But then we should think that (1) and (3) express the same sort of information. But they don't. So maybe (2) is false. But then how can (1) be true? If we can analyze concept X in terms of concept Y, don't X and Y have to mean the same thing?
Thus, befuddlement.
It should be easy to argue that (1) is true. We have a complex concept, being a Male Parent, and a simple concept, being a Father. We are analyzing the complex one into the simple one. Let us say that this isn't a logical truth, but an analytic one.
So then (2) has to be false. It is saying that a complex concept is identical to a simple one. This is false.
So then we can deny (3). An analysis is supposed to break down a complex concept into a simple one.
King considers examples like:
4. If x is a father, then x is a male parent
5. If x is a father, then x is a human adult male with offspring
When we explicate their logical form, we get
6. For all x [ [x is a father] iff [ [x is a male] & [x is a parent] ] ]
7. For all x [ [x is a father] iff [ [x is a human] & [x is an adult] & [x is a male] & [x is a parent] ] & [for some y [ y is an offspring of x] ] ] ]
So while both (4) and (5) are kinds of analysis for what it is to be a father, (5) is deeper. This is shown by (6) and (7).
If we consider the original example:
1. The concept Male Parent is the analysis of the concept Father
2. The concept Father = the concept Male Parent
3. The concept Father is the analysis of the concept Father
It seems we should indeed deny (2). I think Frege would appeal to there being two different senses. Sellars to there being to distinct functional classes, a •Father• and a •Male Parent•. King, it seems to me, two different concepts.
We can also see that the property of being a male parent is different from that of being a father. One is simple, one is complex. The concepts are likewise different. This is why we call (1) an analysis, whereas (3) is not. And if we were to take (3) to be an analysis at all, it would be an incredibly shallow one. As (4) - (7) shows, we can have various levels of analysis.
Wednesday, November 5, 2008
a couple of snags for King
1. A proposition < o,p> is true at w iff o is in the extension of P at w; otherwise it is false at w.
2. A propositions < not,< s>> is true at w iff NOT(Vsw)=T where Vsw is a truth value of S at w; otherwise it is false at w.
3. A proposition < < some,p>,Q> is true at w iff
is in the extension of SOME at w; otherwise it is false at w.
4. A proposition < possibly,< s>> is true at w iff POSSIBLY(S,w)=T
This is an account of true-at that does not require that a proposition exist at the world at which it is true. This is a major move for King, but I think there are a couple snags that still get him into trouble.
Snag 1: Narrow Metaphysical Acceptability
King is admittedly and actualist, which means he believes that all possible worlds actually exist. However, I think his view of propositions limits what sorts of things you can take to be possible worlds, i.e. he can't take possible worlds to be maximal sets of propositions. Here's an argument for that:
1) There are some things that cannot be asserted in currently existing languages
2) (1) -> (3)
3) There are some ways the world might be such that no proposition represents the world being that way
4) (3) -> (5)
5) Maximal sets of propositions contain insufficient information to be possible worlds
I won't defend each premise here, I'll just give the gist. Suppose we could have had different phenomenal experiences than those we actually do. We are (plausibly) unable to represent those experiences in our language. But by hypothesis we could have had those experiences. But if King is right, there are no propositions that assert (of the particular experiences) that we have or do not have them.
If King has general nominalistic tendencies, he'll shy away from the alternate view that possible worlds are maximal ways the world could have been. These properties are un-instantiated, and spooky!
Snag 2:
Related to my paper topic, I'll just point out that King is comitted to the following being true:
'Possibly every proposition is false'
'Possibly every proposition is true'
'Possibly every proposition is both true and false' (this will be true if worlds devoid of propositions are possible)
'There are no propositions expressed by hypothetical languages with sufficiently different syntax' (not as long as the language remains hypothetical anyway)
'The proposition that mary swims could have been true at a world at which mary doesn't swim' (this would be the case if we used the proposition that mary swims to represent something else)
Tuesday, November 4, 2008
King's response to objection 2
Objection 2 looks something like this:
1) According to King, propositions came into existence at a certain time in the past (namely, at the time when language, semantic values, and the like were invented).
2) If (1), then there was a time, before which propositions did not exist.
3) Propositions are the bearers of truth and falsity.
4) If (2) and (3), then before propositions came into existence, nothing was true or false.
5) But, obviously some things were true and false before propositions came into existence.
6) (4) and (5), therefore King's theory of propositions is flawed.
The time that King uses as an example of when propositions did not exist is right after the big bang. At this time there were no sentences or language of any kind, yet according to (5) there were still things that were true (such as the fact that particles had certain charges and certain masses).
To respond to this objection, King looks at it from two different viewpoints; presentism and eternalism.
King's presentist response:
Basically, King says that the presentist could claim that the objector fails to distinguish between two similar, but different, claims:
i) Nothing was true in the remote past.
ii) Things weren't a determinate way in the remote past.
King says that the presentist could reject claim (i) while accepting claim (ii). The reason he gives for this is that facts and propositions are separate according to his theory. There is no reason why there could not be facts (ways the world is, states of being, etc...), while at the same time there being no propositions. In a way, King bites the bullet here and says "it is the case that nothing was true or false before propositions came around... but it does not matter/it does not affect us".
I like King's line of thought here, but there is a way to respond to it. Someone in favour of objection 2 might say that King has not actually denied any premise in the objection, he has simply softened the blow a bit. If someone were to hold steady to the idea that "things were true and false before propositions existed", King would still have to provide evidence for why we should accept the distinction he offers. He would not be able to say "we should think that there is a distinction between truth values and factual states because it is in line with my theory of propositions".
King's eternalist response:
I am pretty sure I understand King's response here, but please correct me if I am wrong.
King says that the eternalist holds that anything that has, does, or will exist exists at all times, but in different temporal locations. This means that a propostion could actually be true (have properties) at a time where it does not exist. This might seem to support the objection (that things were true and false before propositions existed). However, King says that in the end "the objector incorrectly inferred that on the present view propositions in the remote past were not true from the fact that on the present view they are not temporally located in the remote past" (pg 79). What this means is that objection 2 is based on there being truths and falsities without propositions, whereas the eternalist is still able to attribute truth and falsity to propositions even though they do not exist. More formally:
i) Objection 2 assumes that there are true and false things before the existence of propositions.
ii) The eternalist holds that propositions can be true and false even at times when they do not exist.
iii) Therefore, objection 2 does not apply to the eternalist view.
I think this is a good response to premise (5) of the objection and I can't really see anything wrong with it at this time. The best way to support objection 2 would be to press King for a better explanation on why we should accept the distinction his position offers of truth values and factual states.
Sunday, November 2, 2008
King: The Objection from Origins.
The question is: How did propositions come to be?
The objector wants to stick King on his non-Platonic account of propositions.
1. On King's view, the facts that are propositions came into existence in part as a result of lexical items acquiring semantic values and syntactic relations coming to encode certain functions.
2. But when we attempt to explain how our proto-linguistic ancestors brought it about that words had semantic values and sentential relations encoded certain functions, we will appeal to the beliefs and intentions they had.
3. On King's view, prior to the existence of language there were no propositions, which are the objects of attitudes like intending and believing.
4. But propositions must exist in order for creatures to have propositional attitudes.
5. So King's account of how propositions came into existence will have to presuppose that creatures had propositional attitudes prior to propositions existing. (1 - 5)
6. So King's view is contradictory and should be rejected.
King will want to deny (5). "The fundamental thought behind the present view of structured propositions is that the vehicle by means of which propositions are expressed consist of entities standing in relations and that these very relations provide all of the significant structure to the propositions expressed by those vehicles."
If, for example, "mental sentences" exist, these too will count as vehicles for the expression of propositions. This gives reason to deny (3), since "there may be propositions even in the absence of any public language."
While this would make someone like Sellars upset, it would make someone like Chisholm happy. Sellars thinks that intentionality primarily dwells in language, whereas Chisholm think that intentionality primarily dwells in thought. (Roughly.)
King might argue:
7. Mental sentences exist and encode propositions.
8. Propositional attitudes only exist if there are propositions.
9. Mental sentences can exist independently of any public language.
10. So Propositions and propositional attitudes can exist in the absence of any public language. (7 - 9)
Therefore, King can reply: "If there is a language of thought, and if our proto-lingusitic ancestors thought in it, propositions could have existed, and our ancestors could have had attitudes towards them, prior to the existence of public language."
While this might make someone like Chisholm happy, it does not make King happy: "I am not happy resting my response here on the claim that there is a langauge of thought and our proto-linguistic ancestors though in it."
King would rather assume that the claim in (7) is false. Let us deny that there is a language of thought.
11. If our pre-linguistic ancestors had propositional attitudes, propositions must have existed.
12. For propositions to have existed, our pre-liniguistic ancestors must have either had a public language or a language of thought.
13. Our pre-linguistic ancestors could have had neither a public language or a language of thought.
14. So our pre-linguistic ancestors had no propositional attitudes. (11 - 13)
This would make someone like Chisholm unhappy, someone like Sellars happy. King is happy too: "We must say that strictly speaking our proto-linguistic ancestors did not have propositional attitudes, hence propositions didn't exist then."
King appeals that our proto-linguistic ancestors "had some 'proto-intentional' states: proto-beliefs and proto-intentions." He adds that this should not be so strange, since: "it seems to me likely that many animals currently have only states of this sort and so it wouldn't be surprising that in our pre- and proto-linguistic stages we were rather like them in this respect."
We can make a Sellarsian appeal to back King up here. As I had noted before, Sellars says that there are two senses of 'meaningless utterance': "(1) Those utterances which are meaningless if they do not token a properly formed expression in a language. (2) Those utterances which are uttered parrotingly by one who does not know the language."
We might construe the following as an example of (1):
frettk taete34t ln4wti4j6a46
and the following as an example of (2):
When it is 5:00pm my computer says: "It is five o'clock."
Proto-intentional states would seem to not be of the first kind, but of the second. Let us assume that there are inner as well as outer linguistic utterances. Perhaps in a proto-intentional state, one utters in one's mind •it is five o'clock• or utters aloud •it is five o'clock•. Now to the person in question, the utterances here are meaningless. We might take them to be •it is five o'clock•s, but it is impossible that the proto-utterer does so.
A true in / true at distinction here would seem to help. But in any case, for King: "The idea would be that these proto-intentional states were enough to begin to attach lexical items to semantic values and more generally to do what had to be done to bring propositions into existence." That is, the inner our outer utterances would shift from proto- to full-blooded when agents attached semantic values to them. Agents have to move from Humean Representational Systems (stimulus-reponse / inductive systems), to Aristotlean Representational Systems (material inferential / deductive systems), to use the Sellarsian lingo.
King can use this reasoning to deny (5): "So propositions and real intentional states with propositional content came into existence together." There is no need to presuppose that propositional attitudes had to exist prior to propositions at all! "It is enough to suppose that they had proto-intentional states not too different in kind from those had by many animals today."
Again, along Sellarsian lines we can argue that animals have 'meaningless inner utterances' and 'meaningless outer utterances'. Human beings simply developed a level of complexity which led to our having 'meaningful inner utterances' and 'meaningful outer utterances.'
In King's terminology, I think that the above is a paraphrase of: "animals have proto-intentional states. Human beings simply developed a level of complexity which led to our having intentional states."
Finally, against someone like Chisholm who wants to be a Platonist about propsitions, King argues:
15. If propositions exist eternally, then there was a time at which no creatures had mental states with propositional content.
16. So then some account must be given of how creatures managed to get into cognitive contact with propositions.
17. So some account must be given of how some creatures came to have propositional attitudes.
18. So it seems that one could still have to invoke proto-intentional and proto-intentional action.
19. So in this respect, King's view is not in any worse shape than an account on which propositions are eternal.
I think that this little aside from King is rather weak, as the friend of Chisholm will perhaps object to (15) on the grounds that we intuit propositions, we do not have mental states which have propositional content. Mental states are going to turn out to be something like abstract entities, or graspings of abstract entities.
Maybe that objection doesn't amount to much, but against (16) we can deny that there is any need for our getting into contact with propositions to be cognitive. We might have some primitive pre-cognitive, direct access to them. (17) might be denied by appealing to an unstructured account of propositions which has all creatures having propositional attitudes, at least with Given propositions. So (18) can be objected to because intentional states are all or nothing. Perhaps all creatures have them; perhaps all minded creatures have them. So there is no need to appeal to proto-intentional states or actions.
So the friend of Chilsholm will argue that King's view is in much worse shape. But the friend of King will point out that King's view is sensible. So the further the eternalist moves from King, the further they move from being sensible.