numbers vs. words

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north
 
Reply Sun 25 Apr, 2010 05:11 pm
@Extrain,
Quote:
Originally Posted by north http://www.philosophyforum.com/images/PHBlue/buttons/viewpost.gif
what do you mean by this

Quote:
What do you mean by "2+2=4 is true because the physical world says it is"?


well its hard to argue against that two seperate rocks = 2

that a mountiness area , is not made up of more than one , mountain

---------- Post added 04-25-2010 at 07:15 PM ----------

Quote:
Originally Posted by north http://www.philosophyforum.com/images/PHBlue/buttons/viewpost.gif
contigent on what ?

Quote:

In logic, "contingent" means "could have been otherwise." That the sun might not rise tomorrow is certainly possible. So it is contingently true that it will rise tomorrow. "2+2=4" could not be otherwise, 2 and 2 cannot make 3. So it is necessarily true.


good , so your making sense

---------- Post added 04-25-2010 at 07:20 PM ----------

Quote:
Originally Posted by north http://www.philosophyforum.com/images/PHBlue/buttons/viewpost.gif
explain this , falsness , that I have

Quote:
You seem to think mathematical truths are dependent on the physical world to be true. This is false.


they are however



Quote:

If this is NOT what you are saying, then you need to start making sense, because, so far, you are not making any sense at all.


I am making sense

for without the physical , mathematics has no foundation on which to calculate anything , at all

---------- Post added 04-25-2010 at 07:25 PM ----------

Quote:
Quote:
Originally Posted by north http://www.philosophyforum.com/images/PHBlue/buttons/viewpost.gif
then prove without the physical world that we can live without any source of water for a month

Quote:
You can't. Like I said, nothing can be proved empirically, and that is an empirical claim. It is a claim that is most likely true, of course, but that doesn't mean it is necessarily true. It could so happen that some scientist invents a pill that allows you to survive without water for a month. That's certainly possible with the advances in technology.

really , so go without water for a month....
I wouldn't rely on this pill , at the moment , it will cost you your life
 
Extrain
 
Reply Sun 25 Apr, 2010 06:17 pm
@north,
north;156552 wrote:
well its hard to argue against that two seperate rocks = 2


Certainly. But "2+2=4" is true independent of whether four rocks actually exist.

north;156552 wrote:
they are however


No they are not. They can't be dependent on the physical world, because all mathematical statements are necessary, whereas all emprical statements are contingent. So do you hold "2+2=4" can be false? Then all mathematicians will disagree with you.

"2+2=4" is not an empirical claim. It is a statement of a mathematical equality between two numbers that is necessarily true. It is true independent of whether there are rocks. If God suddenly destroyed those rocks "2+2=4" is still true. It doesn't suddenly become false because those rocks cease to exist.

We can use objects to add things. But the objects don't make the mathematical statement true. In fact, no object can since mathematics is an abstraction whereas ordinary physical objects are inifinitely divisible. The objects don't "add themselves." We add them by using math.

north;156552 wrote:
for without the physical , mathematics has no foundation on which to calculate anything , at all


This is false. Maybe you're so dense you need your own fingers to perform addition, but I sure don't. I can add numbers without rocks to do it.

It only requires a child to learn to count one time with chopsticks that "2+2=4" is necessarily true in all times and cases. He knows it is always true. But when a scientist finds a black raven in the environment, he doesn't conclude that all ravens are black. There very well could be white ravens too. So "All ravens are black for all time" is neither necessary, nor provable. 2+2=4 is provable by mathematics, it is always true, and a child immediately understands that it is. Read Plato's Meno about this. This is philosophy of mathematics 101.

north;156552 wrote:
really , so go without water for a month....
I wouldn't rely on this pill , at the moment , it will cost you your life


Then prove it. You can't.
 
kennethamy
 
Reply Sun 25 Apr, 2010 06:30 pm
@Extrain,
Extrain;156471 wrote:


"Santa is nicer than Dick Cheney." True or false? To me it seems true because it doesn't seem to imply the existence of Santa. But to you it seems false because it does imply that?






Quote:


If that means anything, it means that if Santa existed, then Santa would be nicer than Cheney. And that does not imply that either Santa or Cheney exists. (Actually, I think Cheney is quite nice, and, of course I don't belief that Santa is nice at all).

---------- Post added 04-25-2010 at 08:39 PM ----------

Ahab;156451 wrote:
It is always possible to misunderstand and misuse words. Even very competent uses of English make mistakes from time to time.

But what words mean must in general be transparent to their users. We do not have to wait for philosophers and scientists to discover what we really mean by the words we use and the sentences we utter.


Then what would you call the difference between "John is eager to please" and "John is easy to please"? The grammar of the one is very different from the grammar of the other. That, of course, does not mean that competent English speakers do not understand them.

However, it is true that those who believed that when we say of something that it does not exist, we are not saying of it that it lacks a property, although competent speakers of the language (whatever language it is) believed that was true. Otherwise, they would not have argued that it was impossible for God not to exist. So, they did not understand the deep grammar of X exists.
 
Extrain
 
Reply Sun 25 Apr, 2010 06:40 pm
@kennethamy,
kennethamy;156581 wrote:

If that means anything, it means that if Santa existed, then Santa would be nicer than Cheney. And that does not imply that either Santa or Cheney exists. (Actually, I think Cheney is quite nice, and, of course I don't belief that Santa is nice at all).


I don't think that is right. It is intuitively obvious to me that for it to be true that Cheney is such and such a way, it is necessary that Cheney exists. There must be truth-makers for propositions to be true of anything. How can propositions be true or false, if truth is not intimately tied up with really existent things that are really such and such a way?

Disanalogously, statements made about Santat Claus are not clear to me. That's why I wrestle with this.
 
kennethamy
 
Reply Sun 25 Apr, 2010 06:46 pm
@Extrain,
Extrain;156589 wrote:
I don't think that is right. It is intuitively obvious to me that for it to be true that Cheney is such and such a way, it is necessary that Cheney exists. There must be truth-makers for propositions to be true of anything. How can propositions be true or false, if truth is not intimately tied up with really existent things that are really such and such a way?

Disanalogously, statements made about Santat Claus are not clear to me. That's why I wrestle with this.


I agree that necessarily, for Cheney to be nice, Cheney exists. Where did I deny that? And the same goes for Santa. But I did not say anything inconsistent with that either, so far as I can tell. Of course I don't believe that "for it to be true that Cheney is such and such a way, it is necessary that Cheney exists". But I don't suppose you do either.
 
fast
 
Reply Sun 25 Apr, 2010 09:15 pm
@Extrain,
Extrain;156471 wrote:
"Santa is nicer than Dick Cheney." True or false?
Santa is neither nice nor not nice, so it's not true that Santa is nicer than Dick Cheney; however, that's not to say it's false that Santa is nicer than Dick Cheney, and the reason is the same as before; thus, the proposition, Santa is nicer than Dick Chenyey, is neither true nor false. Simply, it's not true.

---------- Post added 04-25-2010 at 11:29 PM ----------

Ahab,

While I say that Santa is neither nice nor not nice, I also hold (in addition to that) that the Santa character that is depicted as being nice is also neither nice nor not nice. Santa doesn't exist, and things that don't exist cannot be nice, so Santa is not nice. The Santa character (that does exist btw; after all, it was created) is also not nice, for created characters cannot be nice (although they can be depicted as being nice-and being depicted as being nice isn't the same thing as actually being nice); hence, notice that my reasoning is different for one as opposed to the other: where one is Santa (a person that does not exist) and the character in fiction (a character that does exist).

Extrain,

When I talk of Santa, I'm not talking about the character in fiction that was created that we all also know as Santa; Ahab on the other hand is --sorta. I think there is a difference between 1) Santa and 2) the character in fiction (also named Santa.) I think Santa doesn't exist (kid's, I don't really mean it), but I do think the character in fiction exists--it exists in the only way characters in fiction can exist ... and that is within works of fiction, of course.

Hmmm,

I think I've jumped topics again. I ain't deletin'.
 
Extrain
 
Reply Sun 25 Apr, 2010 11:11 pm
@fast,
fast;156625 wrote:
Santa is neither nice nor not nice, so it's not true that Santa is nicer than Dick Cheney; however, that's not to say it's false that Santa is nicer than Dick Cheney, and the reason is the same as before; thus, the proposition, Santa is nicer than Dick Chenyey, is neither true nor false. Simply, it's not true.


No, that rejects the bivalence among propositions. I don't buy that at all.

It is clearly an assertive mental representation with propositional content, so it is a truth-valuable proposition, a declarative utterance, or statement. If Santa Claus is not nice then the statement is obviously false.

fast;156625 wrote:

When I talk of Santa, I'm not talking about the character in fiction that was created that we all also know as Santa; Ahab on the other hand is --sorta. I think there is a difference between 1) Santa and 2) the character in fiction (also named Santa.) I think Santa doesn't exist (kid's, I don't really mean it), but I do think the character in fiction exists--it exists in the only way characters in fiction can exist ... and that is within works of fiction, of course.


Sorry, I don't see it. You just borrowed this view from Kennethamy, and it doesn't sound right to me. This "story-operator" approach to fictional discourse only provides a solution to sentences internal to fictional discourse, but doesn't provide any solutions to sentences external to fictional discourse. Here in Stanford:

Quote:
According to the story-operator strategy, we have to interpret sentences of fictional discourse as incomplete. A complete rendition of, for instance,
[INDENT](1) Pegasus is a flying horse.
[/INDENT]would be as follows:
[INDENT](1′) According to the story S (where "S" here and in what follows stands for the story of Greek mythology): Pegasus is a flying horse.
[/INDENT]The expression "according to the story S" is the so-called "story operator",[6] which is a sentencenot imply that there are flying horses; neither does it imply that Pegasus exists. Thus, the contradictions are avoided.[7] This looks like an elegant solution, at least as long as we confine ourselves to a particular kind of example. Unfortunately, however, it does not work equally well for all kinds of sentences of fictional discourse. Consider, for instance:
[INDENT](4) Pegasus is a character from Greek mythology.
[/INDENT]This sentence seems to be straightforwardly true; but if we put a story operator in front of it, we get a straightforward falsehood:
[INDENT](4′) According to the story S: Pegasus is a character from Greek mythology.
[/INDENT]It is not true that according to the relevant story, Pegasus is a character. Rather, according to this story, Pegasus is a living being of flesh and blood.

One may call sentences like "Pegasus is a flying horse" or "Hamlet hates his stepfather" "internal sentences of fictional discourse", in distinction from external sentences of fictional discourse, like "Pegasus is a character from Greek mythology" or "Hamlet has fascinated many psychoanalysts". The story operator strategy can be applied to internal sentences only and thus fails as a general solution to the problem of fictional discourse.


Also, it seems you are letting fictional linguistic (contextual) frameworks redefine "existence" for you, and I'm not sure that is right. It goes against the univocity of "existence"--thereby introducing what's often criticized as "ontological pluralism of (Ex)" into the domain of language. Here is Quine, briefly on the matter of fictional entities:

Quote:
"How can we talk about Pegasus? To what does the word 'Pegasus' refer? If our answer is, 'Something,' then we seem to believe in mystical entities; if our answer is, 'nothing', then we seem to talk about nothing and what sense can be made of this? Certainly when we said that Pegasus was a mythological winged horse we make sense, and moreover we speak the truth! If we speak the truth, this must be truth about something. So we cannot be speaking of nothing."


---------- Post added 04-25-2010 at 11:14 PM ----------

kennethamy;156593 wrote:
I agree that necessarily, for Cheney to be nice, Cheney exists. Where did I deny that? And the same goes for Santa. But I did not say anything inconsistent with that either, so far as I can tell. Of course I don't believe that "for it to be true that Cheney is such and such a way, it is necessary that Cheney exists". But I don't suppose you do either.


For a proposition to be true, it needs truth-makers, is my point. You may not believe that, but I do. Truth makers are existent states of affairs....something makes the statement true.
 
Ahab
 
Reply Sun 25 Apr, 2010 11:47 pm
@fast,
fast;156625 wrote:
Ahab,
While I say that Santa is neither nice nor not nice, I also hold (in addition to that) that the Santa character that is depicted as being nice is also neither nice nor not nice. Santa doesn't exist, and things that don't exist cannot be nice, so Santa is not nice. The Santa character (that does exist btw; after all, it was created) is also not nice, for created characters cannot be nice (although they can be depicted as being nice-and being depicted as being nice isn't the same thing as actually being nice); hence, notice that my reasoning is different for one as opposed to the other: where one is Santa (a person that does not exist) and the character in fiction (a character that does exist).


Santa Claus is a creation of someone's imagination. That is the Santa that is depicted in a work of art - be it a picture or a story or a movie or a play. And it is that imaginary being we refer to when we correctly use the name 'Santa Claus'.
Am not sure why you want to make two Santas when everyone else thinks there is only one.:perplexed:

I think the same goes for other fictional characters. There is not a Molly Bloom who doesn't exist and a Molly Bloom who does exist. My English Lit. professor did not ask me which Molly I was referring to when I wrote about her infidelity.

A fictional character is a representation of an imaginary person.

To be honest, i don't really care that much if you think Santa exists or doesn't exist, or if he is nice or isn't nice. My concern is with the claim that people cannot refer to an imaginary person because it doens't happen to fit a particular philosophical theory of reference.
Sorry, I ain't buying into the notion that philosophers are the overseers for correct usage.
 
Extrain
 
Reply Mon 26 Apr, 2010 12:10 am
@Ahab,
Ahab;156641 wrote:
Santa Claus is a creation of someone's imagination. That is the Santa that is depicted in a work of art - be it a picture or a story or a movie or a play. And it is that imaginary being we refer to when we correctly use the name 'Santa Claus'.
Am not sure why you want to make two Santas when everyone else thinks there is only one.:perplexed:


But what happens when someone says, "Yes, son, Santa Claus is coming to town, and the weather man just now spotted him flying above New York City," while someone else says at the exact same time, "Yes, son, Santa Claus is coming to town, and the weather man just now spotted him flying above Atlanta." Is Santa Claus now one imaginary being in two different places at once? Or are there now two different Santas?:rolleyes:

Fb-->Ex(Fx)

Santa has flying reindeer.
So there are flying reindeer?

Fb-->Ex(x=b)

Pegasus is a flying horse.
So Pegasus exists?

Ahab;156641 wrote:
My concern is with the claim that people cannot refer to an imaginary person because it doens't happen to fit a particular philosophical theory of reference.


Like your own philosophical theory of reference to non-existent entities?

Ahab;156641 wrote:
Sorry, I ain't buying into the notion that philosophers are the overseers for correct usage.


But you are? You mean to say, "I don't want to consider any other point of view than my own."
 
ughaibu
 
Reply Mon 26 Apr, 2010 02:54 am
@Extrain,
Extrain;156514 wrote:
This is false. Cauality is not sufficient to distinguish "two types" of existence.
Well, my claim wasn't limited to causality, was it?
 
Extrain
 
Reply Mon 26 Apr, 2010 04:25 am
@ughaibu,
fast;156167 wrote:

A: referring term
B: a term that refers

You think that A is logically equivalent to B, but you're mistaken. A is stronger than B. B implies A, but A doesn't imply B.


I just figured out the problem: You think "referring" is an adjective. But it is not. It is an action verb acting as an adjective: just look up the lexical definition. It is not an adjective like "red" or "small," since something can't "to red" or "to small," nor can something be "redding" or "smalling"--that doesn't even make sense. So "red" and "small" are not verbs at all--whereas, "referring" is a verb and it literally means "is referring": present progressive perfect tense. Therefore, a referring term is literally referring. And so long as it is a referring term, it is always referring. Q.E.D.

Take this example of an action verb that can act as an adjective, but is not actually an adjective, only a verb:

C: puking cat
D: a cat that pukes

You say D implies C, but C does not imply D. This is false.

If Susie is the kind of cat that pukes, then necessarily Susie is a puking cat. This is true. But this is the adjectival sense of "puking."

But if it is true that Susie is a puking cat in the verbal sense--it's true sense--then, necessarily, it is also true that Susie is a cat that is puking, as in, "to be puking right now" in the present verbal tense of "is puking."

Susie is puking. "Nixon" is referring.

"Puking" is a verb, just as "referring" is a verb. Therefore, referring terms are referring. And so long as a term is referring it is always referring. Analogously, so long as Susie is puking, Susie is always puking. This is the most consistent interpretation of the lexical meaning, and it is tautologously true.

You are the one adding additional meaning to "referring." You are actually claiming it is an adjective when it is not. So your view is false.

---------- Post added 04-26-2010 at 04:31 AM ----------

ughaibu;156673 wrote:
Well, my claim wasn't limited to causality, was it?


?...I addressed everything you said. So you still haven't shown there are more than one type of existence. Try again.
 
fast
 
Reply Mon 26 Apr, 2010 07:30 am
@Extrain,
If I say that "cat" is a referring word, then I'm using "referring" as an action verb. There is no technical term called "referring word," so I have no choice but to treat the term "referring word" much like you treat the term "referring term."

Although there is no technical term called "referring word," there is a technical term called "referring term." Whether or not we treat the word "referring" as an action verb has everything to with whether or not we intend to use a technical term (or merely a term) when we say "referring term."

Furthermore, if you do not use the term "referring term" as a technical term, then you are using "referring" as an action verb, but when I use the term "referring term" as a technical term, I am not (nor should I be) using the term "referring" as an action verb.

If you continue to use the term "referring term" as you do, then I fully expect you to think that the meaning of "referring term" hinges on the lexical meanings of each word inclusive of the term, but because I have not been using the term as merely a term but instead as a technical term, you ought not expect that I glean the meaning of the technical term by what the lexical meanings of the inclusive words are.
 
ACB
 
Reply Mon 26 Apr, 2010 07:32 am
@Extrain,
Extrain;156675 wrote:
"Puking" is a verb, just as "referring" is a verb. Therefore, referring terms are referring. And so long as a term is referring it is always referring. Analogously, so long as Susie is puking, Susie is always puking. This is the most consistent interpretation of the lexical meaning, and it is tautologously true.


Can you please have another look at my posts #836 and 839.

A parade of fighting men is not a parade of men who are (currently) fighting. And a washing machine is not necessarily a machine that is (currently) washing; it is still correctly called by that name even when turned off or broken. "Washing" here is a gerund describing the machine's structure and function (= a machine for washing), not a present participle stating what it is currently doing (= a machine that is washing). The same applies to "flying squirrel" which mysteriously appeared in posts #886-902; such an animal does not cease to be a "flying squirrel" when it stops flying.

My point is that, in English, an "X-ing Y" does not always mean a "Y that is currently X-ing". Whether it does so in any particular case depends on the context.

Now, if "word or set of words that are referring" is the established meaning of "referring term" in the philosophy of language, that's fine; let's stick to that. But I think it would then be useful to have an expression to describe the class of words or sets of words that purport (truly or falsely) to refer (e.g. Dick Cheney, Santa Claus, horse, unicorn), as opposed to those that do not purport to refer at all (e.g. although, abc, @^~).
 
kennethamy
 
Reply Mon 26 Apr, 2010 07:36 am
@Ahab,
Ahab;156641 wrote:
Santa Claus is a creation of someone's imagination. .


If Santa were any kind of creation, then Santa would exist, since necessarily what has been created exists. But, Santa does not exist. Therefore, Santa is not a creation of any kind. QED
 
Ahab
 
Reply Mon 26 Apr, 2010 07:54 am
@kennethamy,
kennethamy;156700 wrote:
If Santa were any kind of creation, then Santa would exist, since necessarily what has been created exists. But, Santa does not exist. Therefore, Santa is not a creation of any kind. QED


Someone thought him up or imagined him and gave him the name 'Santa Claus'. And people use that name to refer to Santa.
 
kennethamy
 
Reply Mon 26 Apr, 2010 07:59 am
@Ahab,
Ahab;156705 wrote:
Someone thought him up or imagined him and gave him the name 'Santa Claus'. And people use that name to refer to Santa.


But there is no "him" at all. Therefore, no one could have given anyone the name of "Santa". It is not like a christening, you know. There is no Santa. (I am beginning to sound like a Scrooge, I know). And there is no Santa to refer to (there I go again, I hope I am not making a little kid cry). As I said, if Santa had been created he would exist.
 
Ahab
 
Reply Mon 26 Apr, 2010 08:24 am
@kennethamy,
kennethamy;156706 wrote:
But there is no "him" at all. Therefore, no one could have given anyone the name of "Santa". It is not like a christening, you know. There is no Santa. (I am beginning to sound like a Scrooge, I know). And there is no Santa to refer to (there I go again, I hope I am not making a little kid cry). As I said, if Santa had been created he would exist.


Strange then that you know who I am referring to.

I agree completely that Santa Claus is not real. That doesn't prohibit people from using his name to refer to him.
 
fast
 
Reply Mon 26 Apr, 2010 09:19 am
@Ahab,
[QUOTE=Ahab;156711]Strange then that you know who I am referring to.

I agree completely that Santa Claus is not real. That doesn't prohibit people from using his name to refer to him.[/QUOTE]
If it's not a person, it's not a him.

People are male or female. Santa doesn't exist, so Santa isn't a person, and because Santa isn't a person, Santa isn't male. It's not so that he is depicted as a male. What is so is that something is depicted as a male.
 
Ahab
 
Reply Mon 26 Apr, 2010 10:12 am
@fast,
fast;156727 wrote:

If it's not a person, it's not a him.

People are male or female. Santa doesn't exist, so Santa isn't a person, and because Santa isn't a person, Santa isn't male. It's not so that he is depicted as a male. What is so is that something is depicted as a male.


Santa is an imaginary person. Of course, Santa doesn't have a real hand that I can shake. That doesn't prohibit me from referring to him.
Using an imaginary person's name to refer to her is not like shaking her hand.
I cannot successfully use 'Santa Claus' to refer to a real person unless a real person has been given that name.
 
kennethamy
 
Reply Mon 26 Apr, 2010 10:30 am
@Ahab,
Ahab;156711 wrote:
Strange then that you know who I am referring to.

I agree completely that Santa Claus is not real. That doesn't prohibit people from using his name to refer to him.


He does not have a name. There is no Santa. People have told stories (mostly to children) about a fictional being called, "Santa". There are Santa-stories. But no (I am sorry to break it to you) Santa.
 
 

 
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