numbers vs. words

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Ahab
 
Reply Sun 28 Mar, 2010 04:37 pm
@Extrain,
Extrain;145299 wrote:
I'm definitely interested. I'll check it out. But on the face of it, it sounds like a naturalized approach to propositional attitudes and beliefs, especially if you are contenancing that animals and new-borns can have beliefs--which I am confident is false.


Bede Rundle, P.M.S. Hacker and H. J. Glock are analytical philosophers whose postions are closely related to or outgrowths from the later philosophy of Wittgenstien. I have been heavily influenced by all of them.

Here is Glock's homepage with some of his articles:
UZH - Philosophisches Seminar - Hans-Johann Glock

Quote:

Here is is where I am coming from:

Structured Propositions (Stanford Encyclopedia of Philosophy)
Propositions (Stanford Encyclopedia of Philosophy)

In the latter entry, you can check out the parts titled "the substitution problem," "objectivization effect," "the ambiguity response," and the "syntax response." Moltmann (2003) and Jeffrey King (2002) think something on the lines that you are equivocating on the objects feared and the contents believed. There is an extensive bibliography at the end of each entry too.



Thanks for the link. I will check it out. Have to run now.
 
Extrain
 
Reply Sun 28 Mar, 2010 04:53 pm
@Ahab,
Ahab;145294 wrote:
Because Joes fears the very same thing I believe: namely that he is going to be fired tomorow.


This is just assumed true.

Suppose my dog and myself both fear the postman charging at us with a knife because the postman suddenly "got postal" on us. Then what I believe,

that the postman is charging us with a knife

is not the same thing as what my dog and I directly fear namely,

the postman's-charging-us-with-a-knife,

simply for the fact that the dog doesn't, nor can it, have beliefs which he can express, talk about, or tell us whether he thinks are true or false. You can ask the dog what it is the dog believes, but I don't think he could tell you, because he doesn't know what he believes, he just simply fears <the postman's charging at him with a knife>. But he doesn't know or believe the proposition that <the postman is charging at him with a knife>.

The postman's-charging-him-with-a-knife

is not identical to

that the postman is charging him with a knife.


Ahab;145294 wrote:
That such and such is the case. Someone can believe it is going to rain tomorrow without formulating the proposition that it is going to rain tomorrow.


"Formulating a proposition" is not the same kind of activity as "believing a proposition"--so it doesn't really matter if someone went through the conscious process of constructing, or articulating the content of his belief. It is still a fact that, what a person believes is, in fact, the proposition that it is going to rain tomorrow. If you ask him what he believes, he will say, that it is going to rain tomorrow, whether he consciously articulated this before you asked him or not.

He doesn't believe it is going to rain tomorrow, he believes that it is going to rain tomorrow. He my perhaps expect, or anticipate the future-fact <it is going to rain tomorrow>--that would be ok. But he doesn't believe the actual physical event <it is going to rain tomorrow>, because (1) his belief is not actually standing in direct reference to a present event actually occurring at the time of his belief, and (2) <it is going to rain tomorrow> is not actually a present event at all, it is a future fact, namely, the future fact <going to rain tomorrow>. So, he can only believe the proposition that it is going to rain tomorrow.

Moreover, if the object of one's belief were either a fact or an event, then it would be just plain silly to say that the object of one's belief can be true or false, because events and facts can't be true or false; rather, they either exist or don't, they are either occuring presently, pastly, or futurely, or not occurring, or existing, at all. Only propositions can be true or false. So again, he can only believe the proposition that it is going to rain tomorrow.

Therefore, propositions really exist.

Q.E.D.

Quote:
If John believes that the Butler stole the silverware and Susie believes that the Butler stole the silverware, then they believe the same thing.


correct.

Quote:
Why do you want to interpose another object (an abstract object) into this scenario?


Because there is no referent for their belief after Butler stole the silverware if the referent just is the physical happening of the Butler's stealing the silverware. That event is passed and gone. So they can only believe an abstract object.

Quote:
Don't you think animals and young children believe things about the world? Surely they don't believe in propositions. The young child has not yet developed his capacity to use language and the animal doesn't possess such a capacity.


Children (before language) and dogs don't have beliefs.

---------- Post added 03-28-2010 at 05:28 PM ----------

Ahab;145303 wrote:
Bede Rundle, P.M.S. Hacker and H. J. Glock are analytical philosophers whose postions are closely related to or outgrowths from the later philosophy of Wittgenstien. I have been heavily influenced by all of them.

Here is Glock's homepage with some of his articles:
UZH - Philosophisches Seminar - Hans-Johann Glock
Thanks for the link. I will check it out. Have to run now.


Cool. Thanks for the references. I will try to take the time to check some of it out to familiarize myself with where you are coming from.

Yes, I am familliar, too, with what Wittgenstein had to say about it, along with Russell, Frege, Strawson, Davidson, and others.

But rather than make appeals to authority as arguments, I would rather think through this by using our own resources--our brains--

Of course, nothing prevents our referencing others, and we should do it when the time is right too. So all of it goes on the table. I am just deeply fascinated by the philosophy of language and am looking for anyone willing to explore some of it...Smile

But if this is not the place to do it, or you are not up to it, just feel free to tell me. Maybe we could start another thread on reference and propositional attitudes? This one deals with the ontology of abstract entites, not exactly language; though language is directly relevant.

Cheers.
 
kennethamy
 
Reply Sun 28 Mar, 2010 05:50 pm
@ughaibu,
ughaibu;145171 wrote:
Kennethamy said that the proposition that the fountain of youth exists, is an abstract object. This implies that abstract objects can be false. Not only does this knock the sense out of indispensability arguments, it also makes the stance that fictional objects aren't abstract objects, even more mysterious.


Objects cannot be true or false. It is false that there is a Fountain of Youth. But that does not mean that the Fountain of Youth is false, since that make no sense. But you are mistaken. I never said that the Fountain of Youth is an abstract object. In fact, I denied it was an object at all. You ought to reread my post.
 
ughaibu
 
Reply Sun 28 Mar, 2010 07:31 pm
@kennethamy,
kennethamy;145336 wrote:
Objects cannot be true or false. It is false that there is a Fountain of Youth. But that does not mean that the Fountain of Youth is false, since that make no sense. But you are mistaken. I never said that the Fountain of Youth is an abstract object. In fact, I denied it was an object at all. You ought to reread my post.
I take it from this that you support the claim that all abstract objects exist, and that this includes all propositions and all mathematical objects. For example, you believe that the proposition 2+3=6 exists, that the number aleph eight exists, etc, will you kindly tell me why you also hold the view that the fictional object, Rudolph, does not exist?
 
kennethamy
 
Reply Sun 28 Mar, 2010 10:48 pm
@ughaibu,
ughaibu;145368 wrote:
I take it from this that you support the claim that all abstract objects exist, and that this includes all propositions and all mathematical objects. For example, you believe that the proposition 2+3=6 exists, that the number aleph eight exists, etc, will you kindly tell me why you also hold the view that the fictional object, Rudolph, does not exist?


I don't understand your question. I don't think that Rudolph is an abstract object if that is what lies behind your question. Otherwise, why would you suppose that if I believe numbers exist, then I should believe Rudolph exists?
 
ughaibu
 
Reply Sun 28 Mar, 2010 10:53 pm
@kennethamy,
kennethamy;145414 wrote:
why would you suppose that if I believe numbers exist, then I should believe Rudolph exists?
For the reasons given, very many times. Numbers are abstract objects, they cant be examined and their properties enumerated, their existence depends entirely on the claim that they have properties. Fictional objects have properties, therefore fictional objects are abstract objects under your paradigm. Similarly, you claim that only those things which exist can be referred to, fictional objects can be referred to, therefore, again under your paradigm, fictional objects exist.
 
kennethamy
 
Reply Sun 28 Mar, 2010 11:03 pm
@Extrain,
Extrain;145214 wrote:
Thanks. That's all I wanted to know.

Therefore, others should not be asking you why you think Hamlet does not really exist, or why you think "Hamlet" fails to have reference, but why you think fictional linguistic frameworks provides different meanings of the word "to exist."


I don't see why you think that what I say implies that "fictional linguistic frameworks provide different meaning of the word, "exists". All I said was that the sentence "Hamlet murdered Polonius" means something like, "In Shakespeare's play, the main character Hamlet murdered a different character, Polonius". How does that imply I think that "exist" means something different? I gave an analogy earlier: when I am in a portrait museum, and I say, "George Washington is in the next room" I would mean that the portrait of George Washington was in the next room, not that the first president himself was in the next room. So, when I use the term, "Hamlet" I am talking about a character in a play. But the play exists in the same old sense of "exist" and the character in the play exists in the same old sense of exists too. I don't see the objection.

---------- Post added 03-29-2010 at 01:08 AM ----------

ughaibu;145419 wrote:
For the reasons given, very many times. Numbers are abstract objects, they cant be examined and their properties enumerated, their existence depends entirely on the claim that they have properties. Fictional objects have properties, therefore fictional objects are abstract objects under your paradigm. Similarly, you claim that only those things which exist can be referred to, fictional objects can be referred to, therefore, again under your paradigm, fictional objects exist.


But fictional objects can't have properties if they don't exist. Cartoon characters exist, and they have the properties their creators give them. What is supposed to be the referent of the term, "fictional object"? Maybe you just mean by "fictional object" things like cartoon characters and the like. In that case, we are merely in verbal disagreement.
 
ughaibu
 
Reply Sun 28 Mar, 2010 11:13 pm
@kennethamy,
kennethamy;145422 wrote:
But fictional objects can't have properties if they don't exist.
But you are not in the position to say that they dont exist without a failure by circularity!!
 
kennethamy
 
Reply Sun 28 Mar, 2010 11:25 pm
@ughaibu,
ughaibu;145427 wrote:
But you are not in the position to say that they dont exist without a failure by circularity!!


Why? Can't I say that Martians don't exist without circularity? Remember, I am not saying that objects like cartoon characters don't exist. But cartoon characters are not objects of any kind. I am starting to think that our disagreement is only a verbal disagreement. When you assert that fictional objects exist are you saying anything more than that there are such things as cartoon characters, and characters in stories like unicorns?
 
Extrain
 
Reply Sun 28 Mar, 2010 11:29 pm
@kennethamy,
kennethamy;145434 wrote:
Why? Can't I say that Martians don't exist without circularity? Remember, I am not saying that objects like cartoon characters don't exist. But cartoon characters are not objects of any kind. I am starting to think that our disagreement is only a verbal disagreement. When you assert that fictional objects exist are you saying anything more than that there are such things as cartoon characters, and characters in stories like unicorns?


But you're getting into Meinongian suggestions if you do about different types of existence, and more than one meaning of such and such a proposition being "true."
 
kennethamy
 
Reply Sun 28 Mar, 2010 11:34 pm
@Extrain,
Extrain;145438 wrote:
But you're getting into Meinongian suggestions if you do about different types of existence.


But why do you think I am suggesting that there are different kinds of existence? I have denied that over and over again. Hamlet does not exist. The play does. And Hamlet is a character in the play. (As some might like to say, "exists (only) as a character in the play". Which just means that the character Hamlet exists, but that Hamlet does not.
 
Extrain
 
Reply Sun 28 Mar, 2010 11:39 pm
@kennethamy,
kennethamy;145442 wrote:
But why do you think I am suggesting that there are different kinds of existence? I have denied that over and over again. Hamlet does not exist. The play does. And Hamlet is a character in the play. (As some might like to say, "exists (only) as a character in the play". Which just means that the character Hamlet exists, but that Hamlet does not.


You just did countenance a different type of existence, namely, Hamlet "existing (only) in...."--using your special linguistic framework that presumably allows you to "intelligibly" say this.
 
kennethamy
 
Reply Sun 28 Mar, 2010 11:44 pm
@Extrain,
Extrain;145444 wrote:
You just did countenance a different type of existence, namely, Hamlet "existing (only) in...."--using your special linguistic framework that presumably allows you to "intelligibly" say this.


Why? I said not that Hamlet exists in the play. That's nonsense. I said that the character, Hamlet exists in the play. And that's true. And there the term, "exist(s)" has the plain old meaning.
 
Extrain
 
Reply Sun 28 Mar, 2010 11:49 pm
@kennethamy,
kennethamy;145446 wrote:
Why? I said not that Hamlet exists in the play. That's nonsense. I said that the character, Hamlet exists in the play. And that's true. And there the term, "exist(s)" has the plain old meaning.


Then what is your domain "fictional character" ranging over? All entities only in plays, or only in literature, or does it range over all things that exist?
 
Ahab
 
Reply Mon 29 Mar, 2010 12:05 am
@Extrain,
Extrain;145313 wrote:
This is just assumed true.

Suppose my dog and myself both fear the postman charging at us with a knife because the postman suddenly "got postal" on us. Then what I believe,

that the postman is charging us with a knife

is not the same thing as what my dog and I directly fear namely,

the postman's-charging-us-with-a-knife,

simply for the fact that the dog doesn't, nor can it, have beliefs which he can express, talk about, or tell us whether he thinks are true or false. You can ask the dog what it is the dog believes, but I don't think he could tell you, because he doesn't know what he believes, he just simply fears <the postman's charging at him with a knife>. But he doesn't know or believe the proposition that <the postman is charging at him with a knife>.

The postman's-charging-him-with-a-knife

is not identical to

that the postman is charging him with a knife.




"Formulating a proposition" is not the same kind of activity as "believing a proposition"--so it doesn't really matter if someone went through the conscious process of constructing, or articulating the content of his belief. It is still a fact that, what a person believes is, in fact, the proposition that it is going to rain tomorrow. If you ask him what he believes, he will say, that it is going to rain tomorrow, whether he consciously articulated this before you asked him or not.

He doesn't believe it is going to rain tomorrow, he believes that it is going to rain tomorrow. He my perhaps expect, or anticipate the future-fact <it is going to rain tomorrow>--that would be ok. But he doesn't believe the actual physical event <it is going to rain tomorrow>, because (1) his belief is not actually standing in direct reference to a present event actually occurring at the time of his belief, and (2) <it is going to rain tomorrow> is not actually a present event at all, it is a future fact, namely, the future fact <going to rain tomorrow>. So, he can only believe the proposition that it is going to rain tomorrow.

Moreover, if the object of one's belief were either a fact or an event, then it would be just plain silly to say that the object of one's belief can be true or false, because events and facts can't be true or false; rather, they either exist or don't, they are either occuring presently, pastly, or futurely, or not occurring, or existing, at all. Only propositions can be true or false. So again, he can only believe the proposition that it is going to rain tomorrow.

Therefore, propositions really exist.

Q.E.D.



correct.



Because there is no referent for their belief after Butler stole the silverware if the referent just is the physical happening of the Butler's stealing the silverware. That event is passed and gone. So they can only believe an abstract object.



Children (before language) and dogs don't have beliefs.

---------- Post added 03-28-2010 at 05:28 PM ----------



Cool. Thanks for the references. I will try to take the time to check some of it out to familiarize myself with where you are coming from.

Yes, I am familliar, too, with what Wittgenstein had to say about it, along with Russell, Frege, Strawson, Davidson, and others.

But rather than make appeals to authority as arguments, I would rather think through this by using our own resources--our brains--

Of course, nothing prevents our referencing others, and we should do it when the time is right too. So all of it goes on the table. I am just deeply fascinated by the philosophy of language and am looking for anyone willing to explore some of it...Smile

But if this is not the place to do it, or you are not up to it, just feel free to tell me. Maybe we could start another thread on reference and propositional attitudes? This one deals with the ontology of abstract entites, not exactly language; though language is directly relevant.

Cheers.


First I'd like to clarify that I am not denying the existence of propositions or that we do indeed believe propositions.

You said you think that I am assuming it is true that I believe and Joe fears the same thing. Maybe it would help if I flesh out the example a little more.

Joe tells me, "I fear that I am going to be fired. Whenever I think about it I break out in a sweat."
I wish to comfort Joe so he doesn't have to be so fearful. So I attempt to gather some information that I could give him so he doesn't worry about this matter. To my dismay I learn information that leads me to believe that Joe is going to be fired.
So I know that Joe fears that he is going to be fired. And I believe that he is going to be fired. It appears clear to me that he is fearing and I am believing exactly the same thing: that he is going to be fired. But Joe doesn't fear the proposition that he is going to be fired.

In your example of fearing the postman. Isn't that like believing the postman? It seems that your example is equivocating on different uses of the word "believe". Also, you changed the wording. At first you said fear 'the postman charging at us with a knife' and changed it to fear 'the postman's-charging-us-with-a-knife'. They don't mean the same thing. There was no such change in my example.

In any case, since we don't both agree that dogs and young children can have a belief, maybe our examples should deal only with adults who are competent users of our language.

Anyways, I'd be delighted to discuss this issue with you more. Just bear in mind that I am a pure amateur at this. What little I've leanred has just been picked up in my spare time. That was one reason I provided the links I did. Not to make a case based on authority, but to provide you a with chance to obtain a clearer presentation of this unpopular conception of propositions.

Again thanks for the links, Did take a brief glance at them. Can see that it will take me some time to understand all that is being discussed at those sites. It is very likely that I may well be unable to grasp you position completely because of my lack of technical training in your area of expertise.Surprised
 
ughaibu
 
Reply Mon 29 Mar, 2010 12:49 am
@kennethamy,
kennethamy;145434 wrote:
Why?
I have explained this several times. Your claim that fictional objects dont have properties and cant be referred to, because they dont exist, depends on the claim that they dont exist because they dont have properties neither can they be referred to.
 
Extrain
 
Reply Mon 29 Mar, 2010 12:58 am
@Ahab,
Ahab;145449 wrote:
First I'd like to clarify that I am not denying the existence of propositions or that we do indeed believe propositions.


But you denied propositions are abstract entities, at least implicitly when you asked me why I was "introducing an additional abstract object"?

I'm curious, what do you think propositions actually are, then?

Ahab;145449 wrote:
You said you think that I am assuming it is true that I believe and Joe fears the same thing. Maybe it would help if I flesh out the example a little more.


That's right. And you do, correct? I think so. Let me look....

Ahab;145449 wrote:
Joe tells me, "I fear that I am going to be fired. Whenever I think about it I break out in a sweat."
I wish to comfort Joe so he doesn't have to be so fearful. So I attempt to gather some information that I could give him so he doesn't worry about this matter. To my dismay I learn information that leads me to believe that Joe is going to be fired.
So I know that Joe fears that he is going to be fired. And I believe that he is going to be fired.


All this seems correct (except for the slight blunder above). I am aware people, including ourselves, will say stuff like Joe said, but if we are performing this kind of linguistic analysis we need to be charitable about linguistic implications and meaning, and not take literally what Joe says at face value. so...

Joe doesn't fear that he is going to be fired. Otherwise he would be fearing a proposition--which is false. Instead, Joe is fearing he is going to be fired. In other words, Joe is fearing the potential possibility of being fired. In other words, Joe is fearing the potential fact of his being (or getting) fired.

So it is not a proposition that Joe is actually fearing.

Ahab;145449 wrote:
But Joe doesn't fear the proposition that he is going to be fired.


Exactly. But your reason for thinking this is true is because as you say...

Ahab;145449 wrote:
It appears clear to me that he is fearing and I am believing exactly the same thing: that he is going to be fired.


But this is false. What you know and believe is going to happen to Joe is the true proposition that Joe is going to be fired. But what Joe fears is going to happen to him is not the proposition that is going to happen to him. Propositions don't "happen to" people, events do. So Joe is fearing what is likely or possible is going to happen to him. Joe is fearing the event of firing, or getting fired, is going to happen to him. Joe is not fearing the proposition that the event is going to happen to him.

Ahab;145449 wrote:
In your example of fearing the postman. Isn't that like believing the postman?


huh? How so? My dog and I are fearing the postman who is charging at us with a knife. But me, in addition to fearing the postman charging at us with a knife, also believe that the postman is charging at us with a knife. Those are two different things.

Ahab;145449 wrote:
It seems that your example is equivocating on different uses of the word "believe".


I don't think that's right. I think it is you, actually, who might be the one changing the meaning of the propositional attitude of "believing" by assuming that we believe events or facts in addition to believing propostions. If someone is fearing an event is going to happen to him, and he believes that an event is going to happen to him, what he believes can't be the same thing as what he fears. This should be obvious since we can't fear propositions like we can believe propositions. So the object of the fearing is not the same object of believing.

Ahab;145449 wrote:
Also, you changed the wording. At first you said fear 'the postman charging at us with a knife' and changed it to fear 'the postman's-charging-us-with-a-knife'. They don't mean the same thing. There was no such change in my example.


Exactly. You have to change the wording because a fact or an event is not a proposition. This is why you can't believe the same thing you fear. You might want to read my post again carefully paying attention to meaning in the sentences and those different objects of those different attitudes of fearing and believing.

Ahab;145449 wrote:
In any case, since we don't both agree that dogs and young children can have a belief, maybe our examples should deal only with adults who are competent users of our language.


It doesn't matter. It works either way. I just used the example of a dog because a dog obviously doesn't have beliefs it can articulate. And I had shown that the object of fear is obviously not the same thing as a proposition feared, because propositons are not feared.

Ahab;145449 wrote:
Anyways, I'd be delighted to discuss this issue with you more. Just bear in mind that I am a pure amateur at this.


No worries. I am a bit of an amateur myself with respect to those others who have thought quite a bit about these things, but I've had a couple philosophy language courses, too, which might give me a step ahead in some respects. But I promise not to try to let it show. I'm still a student working out my own theory. And we can learn much faster when we bounce ideas off one another. That's how this stuff is done anyway.

Ahab;145449 wrote:
What little I've leanred has just been picked up in my spare time. That was one reason I provided the links I did. Not to make a case based on authority, but to provide you a with chance to obtain a clearer presentation of this unpopular conception of propositions.


No worries. I haven't got to those sources yet. I will do that tomorrow.

Ahab;145449 wrote:
Again thanks for the links, Did take a brief glance at them. Can see that it will take me some time to understand all that is being discussed at those sites. It is very likely that I may well be unable to grasp you position completely because of my lack of technical training in your area of expertise.Surprised


Believe me, I don't have a clear theory worked out at all; I am only just working this as I go along with your posts based off of what I think is correct--but I'm willing to change my claims, here, if something obviously true arises.

I just possess an instilled technical vocabulary from my schooling and some familiarity with these issues that might help articulate the discussion in the long run...

I guess I am just recently really fascinated by linguistics for some reason because so many wider philosophical problems are now addressed from this angle. I'm genuinely *scratching* my chin wanting to investigate, so...
 
kennethamy
 
Reply Mon 29 Mar, 2010 05:59 am
@Extrain,
Extrain;145447 wrote:
Then what is your domain "fictional character" ranging over? All entities only in plays, or only in literature, or does it range over all things that exist?


The latter, I suppose. Since stories and plays exist. The fictional character, Hamlet, exists means something like, the play contains a fictional character, Hamlet. Hamlet does not exist, but a fictional character, Hamlet, exists in the eponymous play.
 
Ahab
 
Reply Mon 29 Mar, 2010 07:36 am
@Extrain,
Extrain;145457 wrote:


Ahab wrote:

Joe tells me, "I fear that I am going to be fired. Whenever I think about it I break out in a sweat."
I wish to comfort Joe so he doesn't have to be so fearful. So I attempt to gather some information that I could give him so he doesn't worry about this matter. To my dismay I learn information that leads me to believe that Joe is going to be fired.
So I know that Joe fears that he is going to be fired. And I believe that he is going to be fired.


All this seems correct (except for the slight blunder above). I am aware people, including ourselves, will say stuff like Joe said, but if we are performing this kind of linguistic analysis we need to be charitable about linguistic implications and meaning, and not take literally what Joe says at face value. so...

Joe doesn't fear that he is going to be fired. Otherwise he would be fearing a proposition--which is false. Instead, Joe is fearing he is going to be fired. In other words, Joe is fearing the potential possibility of being fired. In other words, Joe is fearing the potential fact of his being (or getting) fired.

So it is not a proposition that Joe is actually fearing.


You are making my case for me. The whole point of the example is to show that it is absurd to think Joe is fearing a proposition. And that is why you can't simply assume that 'I believe that p' is the same as saying 'I believe the proposition that p'.
For after all Joe and I do fear or believe the same thing: 'he will be fired'..


As to propositions. basically, I think it is something that can be expressed by the use of a sentence.
 
kennethamy
 
Reply Mon 29 Mar, 2010 07:46 am
@Ahab,
Ahab;145561 wrote:
You are making my case for me. The whole point of the example is to show that it is absurd to think Joe is fearing a proposition. And that is why you can't simply assume that 'I believe that p' is the same as saying 'I believe the proposition that p'.
For after all Joe and I do fear or believe the same thing: 'he will be fired'..


As to propositions. basically, I think it is something that can be expressed by the use of a sentence.


For any X, and any Y, you can fear X, X be identical with Y, but still, not fear Y. "To fear" is an intensional verb. Therefore, it does not preserve truth through identity. Nothing special about propositions or beliefs. But, of course, since it does not preserve truth through identity, the fact that you can fear X and not fear Y does not show that X and Y are not identical.
 
 

 
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