numbers vs. words

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Speakpigeon
 
Reply Fri 26 Mar, 2010 09:13 am
@fast,
[QUOTE=fast;143709][QUOTE]Ahab--Nor is an abstract object a kind of object.[/QUOTE]
I've played around with that idea, and I'm still up in the air on it, but I still hold that abstract objects exist since they have properties. It's not the claim but rather the fact they have properties. When I claim that the number three has properties, I'm not mistaken am I?[/QUOTE]
If you hold that the notion of abstract object should not be confused with the notion of idea, as I think you do, then you should regard as necessary that abstract objects not only should have properties but have real properties, i.e. properties that can be measured.
And then, what of the particular case of numbers?
EB
 
kennethamy
 
Reply Fri 26 Mar, 2010 09:17 am
@ughaibu,
ughaibu;144007 wrote:
Which is exactly what you still have given me no reason to accept.


But that's not true.

1. Abstract objects have properties.
2. Fictional objects have no properties.
3. Something exists if, and only if, it has properties.

Therefore, 4. There are abstract objects, but no fictional objects.
 
ughaibu
 
Reply Fri 26 Mar, 2010 09:21 am
@kennethamy,
kennethamy;144011 wrote:
But that's not true.

1. Abstract objects have properties.
2. Fictional objects have no properties.
3. Something exists if, and only if, it has properties.

Therefore, 4. There are abstract objects, but no fictional objects.
You cant possibly be serious!!??
 
kennethamy
 
Reply Fri 26 Mar, 2010 09:34 am
@ughaibu,
ughaibu;144014 wrote:
You cant possibly be serious!!??


You keep saying I have not reasons, when what you probably mean is that I have no good reasons. And, of course, whether my reasons are good is something that your think needs discussion. So, what are your objections to my reasons? Of course I am serious.
 
fast
 
Reply Fri 26 Mar, 2010 09:34 am
@Speakpigeon,
[QUOTE=Speakpigeon;144009]
If you hold that the notion of abstract object should not be confused with the notion of idea, as I think you do, then you should regard as necessary that abstract objects not only should have properties but have real properties, i.e. properties that can be measured.
And then, what of the particular case of numbers?
EB
[/QUOTE]Concrete objects have concrete properties, and abstract objects have abstract properties. That something has a property doesn't necessarily entail the fact that the properties can be measured.
 
Ahab
 
Reply Fri 26 Mar, 2010 09:39 am
@fast,
fast;143709 wrote:
I've played around with that idea, and I'm still up in the air on it, but I still hold that abstract objects exist since they have properties.

It's not the claim but rather the fact they have properties. When I claim that the number three has properties, I'm not mistaken am I?

By the way, I've enjoyed this conversation with you. It's been rather pleasant, but as I turn to Ughaibu's objection, I hope to keep it pleasant even if it entails him wishing to throw a chair at me.

At any rate, let me start by throwing out a couple arguments:

1. That which has properties exists.
2. The number three has properties
Therefore 3, the number three exists.

4. That which doesn't have properties doesn't exist.
5. Rudolph does not have properties.
Therefore 6, Rudolph doesn't exist.

Gee, I hope I worded that right.

Ughaibu apparently believes that number five above is false, and when asked to list the properties he thinks Rudolph has, he tries (as do others) to pawn off fictional properties as if they're real, and when called on it, he reverts back and attacks my claim regarding number 2. This may be a strawman (sorry Ughaibu), but I'm trying to get a grip on what the problem is.

It's almost as if he is mistakenly regarding fictions as abstract objects, and from a previous post of his, I'm gathering that has a lot to do with it.

ETA: a fiction isn't abstract, and that is true whether fictions exist or not. If it doesn't exist, then it's neither concrete nor abstract, and if it does exist, then it's concrete. Remember, a fiction (if it exists at all) is temporal, and nothing that is temporal is abstract.


Fast,
Likewse for me, it has been a pleasure to discuss these topics with you. I attribute that to the fact that you are one of the most polie persons I've met on a discussion board. It also helps that you present your points of view in a clear style.

I have to admit to having trouble keeping straight in my head all the issues we have been discussing in this thread. Talking about abstract objects and concepts and fictional objects can be very confusing.

In any case, I'd like to approach what you've written above indirectly and take a look at properties themselves. I think that one of the primary uses of properties is to identify and distinguish between different things. And it doesn't matter, as far as I can tell, whether or not those things exist or not.
So whether or not an abstract object exists, we at least have to stipulate that it has certain properties or we could never be able to tell which abstract object someone else was talking about. In mathematics very strict rules have been laid down for the attribution of properties. A person is not free to claim that the number 3 is red.
Or take issue of 'historical' people who may not have really existed. Moses may not have been a real person. But people who know or have read about Moses agree on what propeties he has: he was a human being of Jewish descent who killed a harsh taskmaster and was banished from Egypt for that crime. We don't use those properties to establish whether or not Moses existed, but to identify who he was.

As I've mentioned, I have no problem with the statement "What exists has properties" but i do have problems with "What has properties exists". The latter seems to be making the claim that we can alwyas use the attribution of a property to establish the existence of something. Maybe I'm simply confused as to the meaning of that statement or I don't understand how you are using it.

I recall that either you or Kennethamy mentioned that this principle of "what exists has properties' originated with Descartes. If possible, I'd like to learn the context within which he invoked that principle. Was he talking about the substances that exist in the world around us? Was he talking about abstract objects?
 
kennethamy
 
Reply Fri 26 Mar, 2010 09:45 am
@Ahab,
Ahab;144022 wrote:

I recall that either you or Kennethamy mentioned that this principle of "what exists has properties' originated with Descartes. If possible, I'd like to learn the context within which he invoked that principle. Was he talking about the substances that exist in the world around us? Was he talking about abstract objects?


The exact quote is, "Nothing has no properties". I forget where that is, though.

You are right. fast is very polite. A southern gentleman. (South Carolina).
 
Ahab
 
Reply Fri 26 Mar, 2010 09:53 am
@fast,
fast;143973 wrote:
To say of the character in fiction that the character is fictional is not to say (or at least I hope it isn't to say) that the character in fiction does not exist. Of course there are characters in works of fiction. So, if you're saying that the character in fiction has the property of being fictional, then I suppose I could agree, but when I say that Rudolph doesn't exist, I'm not saying there is no character in fiction. I'm saying there is no real reindeer with the property of being able to fly.

ETA: and THAT reindeer does NOT have the property of being fictional. It has no properties AT ALL.


There are characters, fictional characters, historical characters, mythological characters, etc.

It is my understanding that when we say a character is a fictional character we are saying that it is an imaginary person. That accords with the dictionary definition of 'ficitional character'.

If there is a character in a work of fiction whom we know exists or once existed, then usually we will call that character an 'historical character'.

I would say that a fictional character does not exist because I know it to be imaginary: somebody created that character in his imagination.
Sorry but it still seems to me that you don't really understand what an imaginary person is. An imaginary person is not a real person who has been found not to exist. An imaginary person is a creation of the imagination. Don't you see the difference?

---------- Post added 03-26-2010 at 09:21 AM ----------

kennethamy;144026 wrote:
The exact quote is, "Nothing has no properties". I forget where that is, though.

You are right. fast is very polite. A southern gentleman. (South Carolina).


Thanks.

Isn't that statement saying the same as "Everything has properties?"

Hopefully, it was Descartes who said it. As I've read over the comments in the threads on Berkely, I've become acutely aware of how little I know regarding some of these philosophical issues.Surprised

Just picked up copies of Desmon Clarke's two books Descartes's Theory of Mind and Descartes: A Biography.
 
fast
 
Reply Fri 26 Mar, 2010 10:27 am
@Ahab,
[QUOTE=Ahab;144030]There are characters, fictional characters, historical characters, mythological characters, etc.[/QUOTE]
Ahab;144030 wrote:


It is my understanding that when we say a character is a fictional character we are saying that it is an imaginary person. That accords with the dictionary definition of 'ficitional character'.

If there is a character in a work of fiction whom we know exists or once existed, then usually we will call that character an 'historical character'.

I would say that a fictional character does not exist because I know it to be imaginary: somebody created that character in his imagination.
Sorry but it still seems to me that you don't really understand what an imaginary person is. An imaginary person is not a real person who has been found not to exist. An imaginary person is a creation of the imagination. Don't you see the difference?


When I hear it said, "Winnie the Pooh is a fictional character," a couple things come to mind. First, I immediately think A) there is a character in fiction that we call Winnie the Pooh, and because all characters in fiction have properties, I think the character exists ... in a work of fiction, in fact.

Secondly, and even though I think the character in fiction exists, I do not therefore think that there is B) a real Winnie the Pooh walking around with Tiger looking for honey.

Hence, I have made the distinction between A) the character in fiction named Winnie the Pooh and B) Winnie the Pooh, which is not a character in fiction.

I'm not positing Winnie the Pooh as if he is or was ever real. When asked, "does Winnie the Pooh really exist(?)," I would be forced to say yes if I actually thought that was being asked is if there is A) a character in fiction named Winnie the Pooh.

Instead, when asked that question, I'm inclined to say no, for to me, the question is asking whether or not there is B) a real Winnie the Pooh walking around with Tiger looking for honey.

I do not think characters in fiction are imaginary. There really are characters in fiction; they exist, and they exist in the only way they can: in works of fiction. To say of something that it's imaginary is to deny that something exists, but I don't want to deny that characters in fiction exist, especially when I believe that they do exist.
 
Speakpigeon
 
Reply Fri 26 Mar, 2010 10:31 am
@Ahab,
(this post has been deleted by speakpigeon)
 
kennethamy
 
Reply Fri 26 Mar, 2010 10:36 am
@Ahab,
Ahab;144030 wrote:
There are characters, fictional characters, historical characters, mythological characters, etc.

It is my understanding that when we say a character is a fictional character we are saying that it is an imaginary person. That accords with the dictionary definition of 'ficitional character'.

If there is a character in a work of fiction whom we know exists or once existed, then usually we will call that character an 'historical character'.

I would say that a fictional character does not exist because I know it to be imaginary: somebody created that character in his imagination.
Sorry but it still seems to me that you don't really understand what an imaginary person is. An imaginary person is not a real person who has been found not to exist. An imaginary person is a creation of the imagination. Don't you see the difference?

---------- Post added 03-26-2010 at 09:21 AM ----------



Thanks.

Isn't that statement saying the same as "Everything has properties?"

Hopefully, it was Descartes who said it. As I've read over the comments in the threads on Berkely, I've become acutely aware of how little I know regarding some of these philosophical issues.Surprised

Just picked up copies of Desmon Clarke's two books Descartes's Theory of Mind and Descartes: A Biography.



Yes, both statements are the obverses of each other, and obverses are logically equivalent. Those were Descartes' words as near as I can remember. I have read neither book by Clarke.
 
Speakpigeon
 
Reply Fri 26 Mar, 2010 10:39 am
@fast,
fast;144020 wrote:
[QUOTE]Speakpigeon--If you hold that the notion of abstract object should not be confused with the notion of idea, as I think you do, then you should regard as necessary that abstract objects not only should have properties but have real properties, i.e. properties that can be measured.
And then, what of the particular case of numbers?
EB
[/COLOR]
[/COLOR]Concrete objects have concrete properties, and abstract objects have abstract properties. That something has a property doesn't necessarily entail the fact that the properties can be measured.[/QUOTE]
If so can you explain how we can possibly know about abstract objects that only have abstract properties which are not ideas?
EB

---------- Post added 03-26-2010 at 06:00 PM ----------

fast;143709 wrote:
(snip)I still hold that abstract objects exist since they have properties.(snip)
At any rate, let me start by throwing out a couple arguments:
1. That which has properties exists.
2. The number three has properties
Therefore 3, the number three exists.
If number 3 is not to be seen as the idea of number 3 nor as some kind of physical being, but nonetheless as a being that exists outside our minds, yet without physical properties and without the possibility of measuring any property it has, how come we know of number 3 at all?
EB
 
fast
 
Reply Fri 26 Mar, 2010 11:03 am
@Speakpigeon,
[QUOTE=Speakpigeon;144054]If so can you explain how we can possibly know about abstract objects that only have abstract properties which are not ideas?[/QUOTE]I gather from your question that maybe you think ideas are abstract objects. I want to give you a reason to think otherwise.

Just as we should distinguish between A) our concepts and B) what our concepts are concepts of, so too (and in the same vain), we should distinguish between C) our ideas and D) what our ideas are ideas of.

Let's do a couple examples. First, let's consider two things: 1) my idea of my cat and 2) my cat. Notice that 1 is my idea and 2 is what my idea is an idea of. The point I want to make is that 2 is concrete. My cat is certainly not abstract. So, and forget about my idea for now and just note that 2 is a concrete object.

Next example. Let's consider two things: 1) my idea of the number three and 2) the number three. Just like earlier, number 1 is my idea and number 2 is what my idea is an idea of. Unlike earlier, number 2 (this time) is an abstract object. So, like earlier, forget about number one (my ideas); instead, focus on what my ideas are ideas of.

In the first case, my idea was an idea of a concrete object, and in the second case, my idea was an idea of an abstract object. Notice that I have only spoken about what my ideas are ideas of. I have yet to tell you whether my ideas themselves (not to be confused with they are ideas of) are concrete or abstract. Let me tell you that no idea is abstract. What ideas are ideas of can be concrete (as in the first example), and what ideas are ideas of can be abstract (as in the second example).

Why do I say that no idea (the idea itself) is abstract? Because they are temporal. In other words, ideas exist in time. For something to be abstract, it needs to be non-temporal. Ideas are temporal. Ideas are not abstract. All ideas are concrete. What some ideas are ideas of may be either concrete or abstract.
 
Speakpigeon
 
Reply Fri 26 Mar, 2010 11:07 am
@fast,
fast;143639 wrote:
We speak as if ideas are in our mind, and I'm okay with speaking like that, but that we speak as if ideas are in our mind is no grand reason for thinking that ideas have an actual location like a piano in a room could be located as being somewhere in particular. Sure, the idea is in the mind, but where might I ask is your mind?
A neurosurgeon would have about as much luck finding your mind as would a podiatrist (a foot doctor).
The mind has no location, and oh yes, you heard that right, so where might it be? That's the whole point. The question assumes something that is false. It has no location, so it is nowhere.
I suggested that we don't know where the mind is and that we tend to believe that it is precisely nowhere. Yet, how much of a problem is that? Where is the whole of reality? We also tend to believe that it is precisely nowhere.
Do you disagree with that and if so where? Where is reality?
EB
 
Ahab
 
Reply Fri 26 Mar, 2010 11:11 am
@fast,
fast;144049 wrote:


When I hear it said, "Winnie the Pooh is a fictional character," a couple things come to mind. First, I immediately think A) there is a character in fiction that we call Winnie the Pooh, and because all characters in fiction have properties, I think the character exists ... in a work of fiction, in fact.

Secondly, and even though I think the character in fiction exists, I do not therefore think that there is B) a real Winnie the Pooh walking around with Tiger looking for honey.

Hence, I have made the distinction between A) the character in fiction named Winnie the Pooh and B) Winnie the Pooh, which is not a character in fiction.

I'm not positing Winnie the Pooh as if he is or was ever real. When asked, "does Winnie the Pooh really exist(?)," I would be forced to say yes if I actually thought that was being asked is if there is A) a character in fiction named Winnie the Pooh.

Instead, when asked that question, I'm inclined to say no, for to me, the question is asking whether or not there is B) a real Winnie the Pooh walking around with Tiger looking for honey.


I'm not sure what difference it makes what your or my initial reactions or thoughts may be on learnng about a fictional character. What seems to be at issue here is the meaning of the word 'imaginary'.

The word 'imaginary' has many uses, but in the context of talking about an imaginary person that is depicted in a work of fiction, I take it to mean that this person has been made up by someone. That is,it is a product of someone's imagination. In this situation the name of the imaginary person is usually made up at the same time.

In other words, the real reason for saying that a person is imaginary is the fact that she is a product of someone's imagination. Of course it follows from that fact that she does not exist in the world.

As to whether or not you are positing the existnce of Winnie the Pooh as a real person. If you are not, then you should not be insistng that "Winne the Pooh" refers to a real being that does not exist. Isn't that the reason you have been giving for a failure of reference?


Quote:

I do not think characters in fiction are imaginary. There really are characters in fiction; they exist, and they exist in the only way they can: in works of fiction. To say of something that it's imaginary is to deny that something exists, but I don't want to deny that characters in fiction exist, especially when I believe that they do exist.


The word 'imaginary' can be used to deny the existence of something. But in this context, I think it is being used to indicate that the being in question is merely a product of someone's imagination.
 
Speakpigeon
 
Reply Fri 26 Mar, 2010 11:23 am
@fast,
fast;144063 wrote:

Quote:
Speakpigeon--If so can you explain how we can possibly know about abstract objects that only have abstract properties which are not ideas?.
I gather from your question that maybe you think ideas are abstract objects. I want to give you a reason to think otherwise.
No, I don't think that ideas are abstract, not abstract in the sense you mean such as for concept. To be honest, I don't even understand where exactly you picked up this idea. [/COLOR]
[QUOTE=fast;144063]Just as we should distinguish between A) our concepts and B) what our concepts are concepts of, so too (and in the same vain), we should distinguish between C) our ideas and D) what our ideas are ideas of.
Let's do a couple examples. First, let's consider two things: 1) my idea of my cat and 2) my cat. Notice that 1 is my idea and 2 is what my idea is an idea of. The point I want to make is that 2 is concrete. My cat is certainly not abstract. So, and forget about my idea for now and just note that 2 is a concrete object.
Next example. Let's consider two things: 1) my idea of the number three and 2) the number three. Just like earlier, number 1 is my idea and number 2 is what my idea is an idea of. Unlike earlier, number 2 (this time) is an abstract object. So, like earlier, forget about number one (my ideas); instead, focus on what my ideas are ideas of.
In the first case, my idea was an idea of a concrete object, and in the second case, my idea was an idea of an abstract object. Notice that I have only spoken about what my ideas are ideas of. I have yet to tell you whether my ideas themselves (not to be confused with they are ideas of) are concrete or abstract. Let me tell you that no idea is abstract. What ideas are ideas of can be concrete (as in the first example), and what ideas are ideas of can be abstract (as in the second example).
Why do I say that no idea (the idea itself) is abstract? Because they are temporal. In other words, ideas exist in time. For something to be abstract, it needs to be non-temporal. Ideas are temporal. Ideas are not abstract. All ideas are concrete. What some ideas are ideas of may be either concrete or abstract.[/QUOTE]I am not sure what you mean by "concrete" and while I don't see that we need to use this term for ideas, I broadly agree in the sense that I see ideas as actual beings even though they are probably not located in physical reality. My problem, rather, is with you notion of concept. Can you actually address my previous post and tell us how it is that we could have an idea of concept if concepts have no physical properties and are not ideas?
EB

---------- Post added 03-26-2010 at 06:30 PM ----------

Ahab, I dispute your presentation and your conclusion.
Below are the three main posts in this sorry exchange.
[QUOTE=Ahab;143179]Rudolph is an imaginary being. I think 'Rudolph' refers to that imaginary being. [/QUOTE][QUOTE=Ahab;143179]
I think it succeeds in referring because I don't limit referents only to existing objects. Obviously, we disagree on what can be considered to be a referent.
If the referent is postulated to exist and it turns out that it doesn't exist then you can have a failure of reference. An example of that would be phlogiston. [/QUOTE]
[QUOTE=Speakpigeon;143574]Which is a problem with your model. A word has a referent or it does not. You can't say the word has a referent but please wait till we realise that it does not. No, it is not polite. [/QUOTE][QUOTE=Speakpigeon;143574]
When used to mean something, a word always has a referent and this referent is the something meant, i.e. which can only be an idea, which may also vary to such an extent that it becomes "improper" but improper reference is reference nonetheless, unless the notion of reference does not refer to anything at all. [/QUOTE]
[QUOTE=Ahab;143664]Who assumed that the referent has to be an actual object? I've already stated that an imginary being can be a referent. [/QUOTE][QUOTE=Ahab;143664]
I would suggest that you take into consideration the context in which I say something. I don't care if you don't agree with me. But at least try to make it a disagreement with something I actually claimed. [/QUOTE]
I had not problem with the possibility of having referents that are not "actual objects" as you put it, which I take to mean things that are not of the physical world, such as an imaginary being, although I would nitpick on using the term "object" for something that would not be objective. Having no problem with that, I did not argue about it.
Re-reading you initial post above, I still interpret it as I did initially as meaning that in cases where we mean an object existing in the physical world, i.e. an "actual object" in the terminology you used, the reference is this object. Thus, according to you, there are some words that are meant to have an actual object as referent. You then explain that this can lead to what you yourself called a "failure of reference" as in the case of the phlogiston where the term "phlogiston" was indeed meant to have an "actual object" as referent and it since turned out that there is in fact not such object.
So I can only deplore that you should feel justified in any way putting your last post on this. Every one sentence in it is wrong.
[QUOTE=Ahab;143664]Who assumed that the referent has to be an actual object?[/QUOTE]I did not suggest that your position was that the referent always had to be an actual object. I was only addressing the particular case of words such as "phlogiston" where your phrase "If the referent is postulated to exist and it turns out that it doesn't exist then you can have a failure of reference" clearly implies that you endorse the notion that the referent is in this case an existing object. And this is what I dispute if you cared to read what people say.
[QUOTE=Ahab;143664]I would suggest that you take into consideration the context in which I say something. I don't care if you don't agree with me. But at least try to make it a disagreement with something I actually claimed.[/QUOTE]It is certainly very easy to make any claim.
However, it is then quite remarkable that you don't even feel you have to justify it.
So, please, justify your claim that I did not take into consideration the context.
EB
 
fast
 
Reply Fri 26 Mar, 2010 11:33 am
@Ahab,
Ahab;144068 wrote:
The word 'imaginary' can be used to deny the existence of something. But in this context, I think it is being used to indicate that the being in question is merely a product of someone's imagination.
And thus does not exist. Imagining something doesn't bring anything new into existence. It's not like there's actually something new with actual properties by the mere fact someone has imagined something.
 
Ahab
 
Reply Fri 26 Mar, 2010 11:43 am
@fast,
fast;144086 wrote:
And thus does not exist. Imagining something doesn't bring anything new into existence. It's not like there's actually something new with actual properties by the mere fact someone has imagined something.


Well, the imaginay being also has a name given to him when the author of the work of ficition creates him.

So I still am loooking for a reason why you would think that name is the name of a real person who doesn't exist. It seems obvious to me to be the name of the imaginary person.

Also, i think I should clarify my position regarding proper names. I don't think they have meanings.
 
fast
 
Reply Fri 26 Mar, 2010 11:50 am
@Speakpigeon,
[QUOTE=Speakpigeon;144077]Can you actually address my previous post and tell us how it is that we could have an idea of concept if concepts have no physical properties and are not ideas?[/QUOTE]
A mind is a product of a brain (and CNS). A mind isn't a brain, and a mind isn't in (or within) a brain, and a mind isn't in the neurons of a brain. But, it is so that a brain gives rise to a mind. A mind is brain-dependent. Only because we have a brain can we have a mind, and only with a mind can we have ideas, concepts, thoughts, fantasies, and memories. So, although a concept is not physical, what gives rise to it is. There is a physical basis for the fact we have concepts and ideas, but our actual concepts and ideas, however, are anything but physical.
 
PappasNick
 
Reply Fri 26 Mar, 2010 11:54 am
@fast,
fast;144096 wrote:

A mind is a product of a brain (and CNS). A mind isn't a brain, and a mind isn't in (or within) a brain, and a mind isn't in the neurons of a brain. But, it is so that a brain gives rise to a mind. A mind is brain-dependent. Only because we have a brain can we have a mind, and only with a mind can we have ideas, concepts, thoughts, fantasies, and memories. So, although a concept is not physical, what gives rise to it is. There is a physical basis for the fact we have concepts and ideas, but our actual concepts and ideas, however, are anything but physical.


Advances in brain imagining and related technologies may allow us to reverse engineer the mind. And if you can reverse engineer something...
 
 

 
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