numbers vs. words

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ughaibu
 
Reply Wed 10 Mar, 2010 08:37 pm
@kennethamy,
kennethamy;138386 wrote:
Yes, just as the fact that germ theory explained disease and its spread is excellent evidence of the existence of germs.
Like the best explanation for kids being scared when their dad plays at being a monster is that their dad is a monster.
kennethamy;138386 wrote:
Plato's argument for positing abstract entities is not as strong as Quine's. But they both are the same kind of argument.
Quine only suggests realism about the mathematical objects convenient for expressing statements about physics. I dont see that as reasonable at all.

---------- Post added 03-11-2010 at 11:44 AM ----------

kennethamy;138466 wrote:
Well, we may, of course, ascribe properties to imaginary things, but since those have to be imaginary properties. it does follow from the fact that N has a property that it exists. Whether that argument is of use, I cannot tell. But that argument, whether or not it is of use, is certainly a valid argument. In fact, in the predicate calculus, it is called, the rule of existential generalization. You can check it here:

Tutorial- Existential Generalization
Your link doesn't justify the existential claim made by Fast. What reason is there to accept that the properties of mathematical objects aren't imagined properties? The axiom of choice, for example, it's a great convenience for mathematicians, but they cant prove it true or false in ZF set theory, they cant even say whether or not it has a truth value.
 
Ahab
 
Reply Wed 10 Mar, 2010 11:03 pm
@kennethamy,
kennethamy;138466 wrote:
Well, we may, of course, ascribe properties to imaginary things, but since those have to be imaginary properties. it does follow from the fact that N has a property that it exists. Whether that argument is of use, I cannot tell. But that argument, whether or not it is of use, is certainly a valid argument. In fact, in the predicate calculus, it is called, the rule of existential generalization. You can check it here:

Tutorial- Existential Generalization


But you and I call those imaginary properties because we already agree that what they are properties of is an imaginary thing.

I did follow the link but I fail to see how it supports the claim that simply because we posit a property of something that proves it exists.
 
Owen phil
 
Reply Thu 11 Mar, 2010 07:54 am
@kennethamy,
kennethamy;138466 wrote:
Well, we may, of course, ascribe properties to imaginary things, but since those have to be imaginary properties. it does follow from the fact that N has a property that it exists. Whether that argument is of use, I cannot tell. But that argument, whether or not it is of use, is certainly a valid argument. In fact, in the predicate calculus, it is called, the rule of existential generalization. You can check it here:

Tutorial- Existential Generalization


Fa -> (some x)(Fx) is a tautology but, (some x)(Fx) does not say a exists. Rather it says there is some existent x which has the property F, ie. 'F exists'.

Fa -> (some G)(Ga) is also a tautology and, (some G)(Ga) does say 'a exists'.

Fa -> (F exists & a exists).

Santa wears black boots, is true within the fiction/myth/story of Santa.
Santa wears black boots, is false in reality..because Santa does not exist in reality.

a exists =df (some F)(Fa). To exist is to have some property.
 
kennethamy
 
Reply Thu 11 Mar, 2010 08:07 am
@ughaibu,
ughaibu;138494 wrote:
Like the best explanation for kids being scared when their dad plays at being a monster is that their dad is a monster.Quine only suggests realism about the mathematical objects convenient for expressing statements about physics. I dont see that as reasonable at all.

---------- Post added 03-11-2010 at 11:44 AM ----------



No, in the monster case that is not the best explanation, but in the germ case, it is the best explanation. Why should the fact that some explanations are not the best explanation be a reason for thinking that some other explanations are not the best explanation? It does not follow that because some are not, that none are.

---------- Post added 03-11-2010 at 09:13 AM ----------

Owen;138592 wrote:
Fa -> (some x)(Fx) is a tautology but, (some x)(Fx) does not say a exists. Rather it says there is some existent x which has the property F, ie. 'F exists'.

Fa -> (some G)(Ga) is also a tautology and, (some G)(Ga) does say 'a exists'.

Fa -> (F exists & a exists).

Santa wears black boots, is true within the fiction/myth/story of Santa.
Santa wears black boots, is false in reality..because Santa does not exist in reality.

a exists =df (some F)(Fa). To exist is to have some property.


"True in fiction" just means that it is a true sentence in a story. "True in reality" means that it is true. There is a big difference. Where else would Santa not exist except "in reality"? Reality is not an area among other areas.
 
ughaibu
 
Reply Thu 11 Mar, 2010 08:23 am
@kennethamy,
kennethamy;138596 wrote:
No, in the monster case that is not the best explanation, but in the germ case, it is the best explanation.
But the monster case is at least as good an analogy as the germs. One has a handful of mice, some sick and some healthy, examining the blood, we find some stuff in the blood of the sick mice that isn't in the blood of the healthy mice, so we test the hypothesis that. . . etc, etc, etc. How does the germ case resemble the Quine Putnam arguments?
 
kennethamy
 
Reply Thu 11 Mar, 2010 08:27 am
@ughaibu,
ughaibu;138601 wrote:
But the monster case is at least as good an analogy as the germs. One has a handful of mice, some sick and some healthy, examining the blood, we find some stuff in the blood of the sick mice that isn't in the blood of the healthy mice, so we test the hypothesis that. . . etc, etc, etc. How does the germ case resemble the Quine Putnam arguments?


They are both analogies, but there is evidence for the one, and none for the other.

In the case of the germs, germs were posited by Pasteur and others, to explain disease. So, in the other case, abstract objects are postulated to explain mathematical phenomena.
 
ughaibu
 
Reply Thu 11 Mar, 2010 08:31 am
@kennethamy,
kennethamy;138603 wrote:
abstract objects are postulated to explain mathematical phenomena.
And how is this any more respectable than positing abstract entities to explain fiction?
 
kennethamy
 
Reply Thu 11 Mar, 2010 08:36 am
@ughaibu,
ughaibu;138605 wrote:
And how is this any more respectable than positing abstract entities to explain fiction?


There are no fictional phenomena.
 
ughaibu
 
Reply Thu 11 Mar, 2010 08:57 am
@kennethamy,
kennethamy;138606 wrote:
There are no fictional phenomena.
There is an infinite number of statements that can be made mathematically, almost all of them are not related to the actual world. In terms of requiring an explanation, almost all of mathematics is fiction. And of course there are fictional phenomena, talking reindeer, for one.
 
fast
 
Reply Thu 11 Mar, 2010 12:32 pm
@Zetherin,
[QUOTE=Zetherin;138289]But things which are fictional do not exist, and things which are abstract objects do exist. Am I wrong? Isn't this how we use the words in language?[/QUOTE]

The fictional character Scooby Doo is a fictional character because the character Scooby Doo (which does exist) is not based on a real live talking dog.

Scooby Doo (as opposed to the character Scooby Doo), however, does not exist. If you look to the real world in search of properties to show otherwise, you will not find any. You will find no real live talking dog.

But, we don't deny the existence of cartoons, nor do we deny the existence of the characters (in so much as they are characters) that are depicted in the cartoons.

So, the character Scooby Doo does exist, as it has properties. It does not wear a collar around his neck, as no real live collar can in reality go around the neck of a cartoon character, as there in fact is no neck at all but rather drawings (for example) depicted as a neck.

"Scooby Doo" when spoken is often shorthand for "the character Scooby Doo," and the character Scooby Doo exists, but never is it true that Scooby Doo exists.
 
Zetherin
 
Reply Thu 11 Mar, 2010 12:41 pm
@fast,
fast;138642 wrote:


The fictional character Scooby Doo is a fictional character because the character Scooby Doo (which does exist) is not based on a real live talking dog.

Scooby Doo (as opposed to the character Scooby Doo), however, does not exist. If you look to the real world in search of properties to show otherwise, you will not find any. You will find no real live talking dog.

But, we don't deny the existence of cartoons, nor do we deny the existence of the characters (in so much as they are characters) that are depicted in the cartoons.

So, the character Scooby Doo does exist, as it has properties. It does not wear a collar around his neck, as no real live collar can in reality go around the neck of a cartoon character, as there in fact is no neck at all but rather drawings (for example) depicted as a neck.

"Scooby Doo" when spoken is often shorthand for "the character Scooby Doo," and the character Scooby Doo exists, but never is it true that Scooby Doo exists.


But fictional means:

"An imaginative creation or a pretense that does not represent actuality but has been invented."

The fictional character, Scooby Doo, does not exist. What is a property of the fictional character Scooby Doo, if he exists (if not for things like his collar)?
 
fast
 
Reply Thu 11 Mar, 2010 12:56 pm
@Zetherin,
[QUOTE=Zetherin;138645]But fictional means:

"An imaginative creation or a pretense that does not represent actuality but has been invented."

The fictional character, Scooby Doo, does not exist. What is a property of the fictional character Scooby Doo, if he exists (if not for things like his collar)?[/QUOTE]

You placed a comma between "character" and "Scooby", and doing so complicates matters. I am making a distinction between "Scooby Doo" and "The Scooby Doo character", yet when you say, "The fictional character, Scooby Doo," you are implying that Scooby Doo (as opposed to the Scooby Doo character) is a fictional character, but Scooby Doo is not a fictional character. The Scooby Doo character is a fictional character.

So, how can I possibly say, "Scooby Doo is not a fictional character" with a straight face? It's because I'm not saying "Scooby Doo" in shorthand for "The Scooby Doo character." Of Course Scooby Doo does not exist, and of course there is a Scooby Doo character ... kids watch him all the time.

Remember, one exists, and one doesn't. The Scooby Doo character most certainly exists, but there is no actual Scooby Doo. If there were, we would hear him.
 
Zetherin
 
Reply Thu 11 Mar, 2010 01:00 pm
@fast,
fast;138652 wrote:


You placed a comma between "character" and "Scooby", and doing so complicates matters. I am making a distinction between "Scooby Doo" and "The Scooby Doo character", yet when you say, "The fictional character, Scooby Doo," you are implying that Scooby Doo (as opposed to the Scooby Doo character) is a fictional character, but Scooby Doo is not a fictional character. The Scooby Doo character is a fictional character.

So, how can I possibly say, "Scooby Doo is not a fictional character" with a straight face? It's because I'm not saying "Scooby Doo" in shorthand for "The Scooby Doo character." Of Course Scooby Doo does not exist, and of course there is a Scooby Doo character ... kids watch him all the time.

Remember, one exists, and one doesn't. The Scooby Doo character most certainly exists, but there is no actual Scooby Doo. If there were, we would hear him.


What is a property of "The Scooby Doo character"? You mean the phrase exists? Are you going to tell me a property of "The Scooby Doo character" is that it contains four o's?

I think all that exists is a concept of the imaginary character Scooby Doo. I don't see how a fictional character can exist (distingished from the actual character). Where is "The Scooby Doo character"? Clearly it is non-temporal and non-spatial, so why not assume it is a concept?
 
Ahab
 
Reply Thu 11 Mar, 2010 01:08 pm
@fast,
fast;138652 wrote:


You placed a comma between "character" and "Scooby", and doing so complicates matters. I am making a distinction between "Scooby Doo" and "The Scooby Doo character", yet when you say, "The fictional character, Scooby Doo," you are implying that Scooby Doo (as opposed to the Scooby Doo character) is a fictional character, but Scooby Doo is not a fictional character. The Scooby Doo character is a fictional character.

So, how can I possibly say, "Scooby Doo is not a fictional character" with a straight face? It's because I'm not saying "Scooby Doo" in shorthand for "The Scooby Doo character." Of Course Scooby Doo does not exist, and of course there is a Scooby Doo character ... kids watch him all the time.

Remember, one exists, and one doesn't. The Scooby Doo character most certainly exists, but there is no actual Scooby Doo. If there were, we would hear him.

:eek:

What mysitfies me is how you can say witha straight face what I have highlighted in red.
Zetherin is correct to say that Scooby Doo is a ficitonal character.

Of course, one could come up with a story in which a fictional character is a character in the story.Woody Allen's great movie The Purple Rose of Cairo is a nice example.
 
fast
 
Reply Thu 11 Mar, 2010 01:14 pm
@Ahab,
Ahab;138661 wrote:
:eek:

What mysitfies me is how you can say witha straight face what I have highlighted in red.
Zetherin is correct to say that Scooby Doo is a ficitonal character.

Of course, one could come up with a story in which a fictional character is a character in the story.Woody Allen's great movie The Purple Rose of Cairo is a nice example.

The Scooby Doo character exists, but it's a fictional character because Scooby Doo does not exist.
 
Zetherin
 
Reply Thu 11 Mar, 2010 01:17 pm
@fast,
fast;138665 wrote:
The Scooby Doo character exists, but it's a fictional character because Scooby Doo does not exist.


What is a property of "The Scooby Doo character"?
 
fast
 
Reply Thu 11 Mar, 2010 01:26 pm
@Zetherin,
[QUOTE=Zetherin;138657]What is a property of "The Scooby Doo character"? You mean the phrase exists? Are you going to tell me a property of "The Scooby Doo character" is that it contains four o's? [/QUOTE]Lol. No, I am not saying that. I just thought it might be easier to use quotes because they show up a bit better than italics.

[QUOTE]I think all that exists is a concept of the imaginary character Scooby Doo.[/QUOTE]Our mental mind-dependent conceptions do most certainly exist, but what cartoonists create does exist, and it exists in the real world, just like drawings exist. What is depicted in a drawing may not exist, but the drawing itself exists. Same with cartoon characters. The actual character is created by talented people, and although the character Scooby Doo exists, that's not to say there is a corresponding talking, breathing, and brave (let's not forget brave--I don't care what they say!) dog.

The character Scooby Doo has properties, but we have to be careful when say what they are. Recall, we often speak in shorthand, so don't be fooled into thinking that one property of the character Scooby Doo is that he speaks as humans do, for cartoon characters can't literally speak, but there still exists a fictional character Scooby Doo depicted as a dog that can talk.
 
Zetherin
 
Reply Thu 11 Mar, 2010 01:34 pm
@fast,
fast;138673 wrote:
Lol. No, I am not saying that. I just thought it might be easier to use quotes because they show up a bit better than italics.

Our mental mind-dependent conceptions do most certainly exist, but what cartoonists create does exist, and it exists in the real world, just like drawings exist. What is depicted in a drawing may not exist, but the drawing itself exists. Same with cartoon characters. The actual character is created by talented people, and although the character Scooby Doo exists, that's not to say there is a corresponding talking, breathing, and brave (let's not forget brave--I don't care what they say!) dog.

The character Scooby Doo has properties, but we have to be careful when say what they are. Recall, we often speak in shorthand, so don't be fooled into thinking that one property of the character Scooby Doo is that he speaks as humans do, for cartoon characters can't literally speak, but there still exists a fictional character Scooby Doo depicted as a dog that can talk.


1.) Scooby Doo
2.) The concept of the fictional character Scooby Doo
3.) The fictional character Scooby Doo
4.) Every drawing, painting, movie, t.v. show, or otherwise representation of the fictional character Scooby Doo

(1) most certainly does not exist. (2) and (4) most certainly do exist.

Why would you think (3) exists?
 
fast
 
Reply Thu 11 Mar, 2010 01:53 pm
@Zetherin,
Zetherin;138675 wrote:
1.) Scooby Doo
2.) The concept of the fictional character Scooby Doo
3.) The fictional character Scooby Doo
4.) Every drawing, painting, movie, t.v. show, or otherwise representation of the fictional character Scooby Doo

(1) most certainly does not exist. (2) and (4) most certainly do exist.

Why would you think (3) exists?

Television shows have characters. This shouldn't be a point of contention. Most cartoons have fictional characters. To say of a character that it's fictional isn't to say there is no character. It's to say there is no corresponding non-fictional entity.
 
Ahab
 
Reply Thu 11 Mar, 2010 02:28 pm
@fast,
fast;138673 wrote:
Lol. No, I am not saying that. I just thought it might be easier to use quotes because they show up a bit better than italics.

Our mental mind-dependent conceptions do most certainly exist, but what cartoonists create does exist, and it exists in the real world, just like drawings exist. What is depicted in a drawing may not exist, but the drawing itself exists. Same with cartoon characters. The actual character is created by talented people, and although the character Scooby Doo exists, that's not to say there is a corresponding talking, breathing, and brave (let's not forget brave--I don't care what they say!) dog.

The character Scooby Doo has properties, but we have to be careful when say what they are. Recall, we often speak in shorthand, so don't be fooled into thinking that one property of the character Scooby Doo is that he speaks as humans do, for cartoon characters can't literally speak, but there still exists a fictional character Scooby Doo depicted as a dog that can talk.


One should not confuse a depction with what it is a depiction of. The depiction is the drawing or picture. Scooby Doo is what is being depicted.

But Scooby Doo is only an imaginary dog. A dog that can talk. A dog that we all agree doesn't exist. Scooby Doo is not a picture.

---------- Post added 03-11-2010 at 12:51 PM ----------

fast;138673 wrote:

The character Scooby Doo has properties, but we have to be careful when say what they are..


Can you tell us just what those poperties are that the character Scooby Doo has?

Aren't those the properties being depicted? But you claim that the character Scooby Doo can't talk.

So I am still unclear as to what it is you are actually claiming.
 
 

 
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