numbers vs. words

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fast
 
Reply Fri 5 Mar, 2010 02:51 pm
@Zetherin,
[QUOTE=Zetherin;136596]He is saying that classes are what somehow exist in a non-temporal and non-spatial way. But I agree with you: Aren't classes simply classificiations of what exist?[/QUOTE]
I'm gonna take a stab at this.

I don't think biological taxonomy (for example) necessarily includes arbitrary classification but is rather highly influenced by what is actually observed in nature. Yes, we are documenting and classifying, but that is not necessarily to say we are inventing a system to describe what we observe; it's more like we're discovering the underlying natural classification of how things are in the natural world through observation. Our understanding of the differences between a kingdom and a phylum (for example) has less to do with us and our decisions for classifying than it does with what we have observed.

<It's a long shot, but for what it's worth.>

ETA: This reminds me of the debate over whether or not laws are invented or discovered. Something is discovered, and something is invented.
 
Zetherin
 
Reply Fri 5 Mar, 2010 03:13 pm
@cws910,
fast wrote:

I don't think biological taxonomy (for example) necessarily includes arbitrary classification but is rather highly influenced by what is actually observed in nature. Yes, we are documenting and classifying, but that is not necessarily to say we are inventing a system to describe what we observe; it's more like we're discovering the underlying natural classification of how things are in the natural world through observation. Our understanding of the differences between a kingdom and a phylum (for example) has less to do with us and our decisions for classifying than it does with what we have observed.


Yes, but not all classes are like that. Compare the class of bad movies with the class of good movies, or any other class which is subjective in nature. What are we discovering here? What natural classification exists that we are discovering? The fact that someone could dispute the badness or goodness of a movie, and be justified, says to me that these classes are not about discovery, they are about invention.

Quote:

ETA: This reminds me of the debate over whether or not laws are invented or discovered. Something is discovered, and something is invented.


That would depend on the law. Natural laws are discovered, common laws are not.
 
Ahab
 
Reply Fri 5 Mar, 2010 04:35 pm
@kennethamy,
kennethamy;136498 wrote:
No one, I think, has said that science discovers the "real meaning" of words. I don't think I would understand that view.


Apparently Kripke and Putnam did in their writings dating from the 60's and 70's. Hacker in his book Wittgenstein's Place in Twentieth-century Analytic Philosophy spends several pages critiquing the concept. But his critique is only directed toward Putnam's version. He cites Putnam's essay The Meaning of "Meaning" and his book Representation and Reality in which he(Putnam) tries to defend his claim that scientific discovery does not bring about a change in meaning but reveals the true meaning of a customary expression.


Quote:
But I do think that science can make discoveries about the nature of water. Isn't the discovery that each molecule of water consists of one molecule of hydrogen and two of oxygen, a discovery?

Surely so. I am not disagreeing with this. But rather with the view that it is the microstructure of water which provides the true meaning of the word 'water' and not rules of convention. If that were the case, then people have used the word 'water' for hundreds of years without knowing its real meaning. That strikes me as an absurd notion.



Quote:
So that, for instance, were we to come across a substance that looked like water, and we called it "water" but it turned out not to have the chemical composition of water, that the substance would not be water?

Well, this is the 'twin Earth' example Putnam used.
The answer to your question would depend on what rules we decided for the use of the word "water". If we thought that the particular chemical composition of water that science has discovered was definitive of water we would not classify this other substance as water. But we do recognize D2O ('heavy water') as a kind of water. So it appears to me that it would be open to us to decide whether or not to call this substance "water".


Quote:

That is certainly true of "fool's gold" or iron pyrite. See the film, The Treasure of the Sierra Madre for the scene in which some think that iron pyrite is gold.


Does fool's gold share all the physical properties of gold? Is the only thing differentiating it from gold its microstructure?

[Excellent movie. Have seen it multiple times. ]



I don't see how this distinction between fool's gold and gold threaten's the Wittgensteinian view of the autonomy of language. We are certainly free to classify things and use language to distinguish one thing from another.

Here is a short quote from Hacker's book which I mentioned above:
"It is a leitmotif of Wittgenstein's reflections on meaning that the meaning of an expression is given by what are accepted as correct explanations of meaning, which constitute rules for the use of the expressions explained. Rules for the use of expressions are not true or false, and are not answerable to reality for their correctness (an aspect of what he called the 'the arbitrariness of grammar' or the 'autonomy of language')."

---------- Post added 03-05-2010 at 02:54 PM ----------

fast;136602 wrote:

I'm gonna take a stab at this.

I don't think biological taxonomy (for example) necessarily includes arbitrary classification but is rather highly influenced by what is actually observed in nature. Yes, we are documenting and classifying, but that is not necessarily to say we are inventing a system to describe what we observe; it's more like we're discovering the underlying natural classification of how things are in the natural world through observation. Our understanding of the differences between a kingdom and a phylum (for example) has less to do with us and our decisions for classifying than it does with what we have observed.


<It's a long shot, but for what it's worth.>


Once a system of classification is established the rules for it have to be followed or you end up with a different system of classification. I see no problem with setting up a system of classification that is based on observation of certain biological phenomena. Or with using past observations to help set up a new system of classification that we might find to be more productive for our needs.

It is the same in language. Rules have been established for the use of words and expressions. Those rules can be changed but then meaning changes.



Quote:

ETA: This reminds me of the debate over whether or not laws are invented or discovered. Something is discovered, and something is invented.


Well, of course, laws are invented. And, of course, if we want our natural laws to be useful and have explanatory power then we are going to be sure to base them on careful observations of the world around us. Since we make discoveries in those careful observations it is easy to think that we are discovering a law.
 
Reconstructo
 
Reply Fri 5 Mar, 2010 05:43 pm
@fast,
fast;136057 wrote:
The referent of the term, "three" is what it is, and even should it have ever been the case that we never discovered it, it would remain what it is; after all, truth is independent of knowledge.


i can't see how the three can exist outside of man. reality is presumably continuous, as nature abhors a void. it also seems quixotic to contemplate (humanly) what nature would be apart from humans. funn, but quixotic.

---------- Post added 03-05-2010 at 06:46 PM ----------

fast;135330 wrote:
A number is neither a word nor a concept.


A number traces back, in my opinion, to a white-washed word. If not a concept than what? What is pi? What is 3 to the 4th, then? A reality? A reference w/o a referent?

---------- Post added 03-05-2010 at 06:48 PM ----------

fast;136482 wrote:
I think I have good handle on the distinction between a concept and what a concept is a concept of. For example, my concept of Earth is one thing, and what my concept is a concept of, namely, Earth--aka the referent of the term, "Earth" is another thing. One is a mental entity, and the other is not. One's existence depends on my existence whereas the other does not.

But actually you are just using the same concept with a twist. None of us have seen all of the earth. We only understand it as a social concept, part of this concept including that it exists outside of our concepts (paradoxical but useful.)

---------- Post added 03-05-2010 at 06:49 PM ----------

kennethamy;136030 wrote:
Yes, about natural kinds. We discovered that there were mammals, we did not invent that classification. And we discovered that whales are mammals and they are not fish. It was an error to believe that whales are fish just because they had the superficial aspects of fish. Similarly in the case of porpoises. I think that is right, don't you?


Our classification is invented, but we do so in a way that makes sense of the data, not randomly.

---------- Post added 03-05-2010 at 06:50 PM ----------

kennethamy;136030 wrote:
Yes, about natural kinds. We discovered that there were mammals, we did not invent that classification. And we discovered that whales are mammals and they are not fish. It was an error to believe that whales are fish just because they had the superficial aspects of fish. Similarly in the case of porpoises. I think that is right, don't you?


Our classification is invented, but we do so in a way that makes sense of the data, not randomly.
 
kennethamy
 
Reply Fri 5 Mar, 2010 06:02 pm
@Ahab,
Ahab;136640 wrote:


]



I don't see how this distinction between fool's gold and gold threaten's the Wittgensteinian view of the autonomy of language. We are certainly free to classify things and use language to distinguish one thing from another.

Here is a short quote from Hacker's book which I mentioned above:
"It is a leitmotif of Wittgenstein's reflections on meaning that the meaning of an expression is given by what are accepted as correct explanations of meaning, which constitute rules for the use of the expressions explained. Rules for the use of expressions are not true or false, and are not answerable to reality for their correctness (an aspect of what he called the 'the arbitrariness of grammar' or the 'autonomy of language')."

---------- Post added 03-05-2010 at 02:54 PM ----------





I don't see it either, but then, I am not clear about what "autonomy of language" means. I guess we are free (legally anyway) to classify things. But we are not intellectually free to make errors, like classifying a whale as a fish. Whales are no more fish than trees are tigers. So, does the "autonomy of language" allow us to classify trees as tigers, or whales as fish? On a biology exam, if someone said that whales are fish he would be marked wrong. And I don't think that Wittgenstein believed that whales are fish, whatever he believed about the autonomy of language.
 
Reconstructo
 
Reply Fri 5 Mar, 2010 06:06 pm
@cws910,
It's obvious that such generalities are human inventions. But we had good reasons to separate the whale from the fish. We wanted a coherent system, as coherence is probably the basic structure of what we perceive as true.
 
Fido
 
Reply Fri 5 Mar, 2010 06:11 pm
@fast,
fast;136534 wrote:
The class of all pencils, the class pencil, had no particulars that belonged to the class during a time when there were no people. The class of all classics, the classics class, had no particulars that belonged to the class during a time when there were no people.

Go to the head of the class. You try to make my point, that all forms are forms of relationship... Even the last man could find no meaning, because meaning is all we share...
 
prothero
 
Reply Fri 5 Mar, 2010 11:11 pm
@cws910,
Numbers are for quantity. Numbers are signs.
Words are for quality. Words are symbols.
Quantlity is always more ambiguous as well as capable of conveying more textures of meaning. Reality is composed of both quantity and quality. Science only deals with quantities.
 
Ahab
 
Reply Sat 6 Mar, 2010 02:35 pm
@kennethamy,
kennethamy;136671 wrote:
I don't see it either, but then, I am not clear about what "autonomy of language" means. I guess we are free (legally anyway) to classify things. But we are not intellectually free to make errors, like classifying a whale as a fish. Whales are no more fish than trees are tigers. So, does the "autonomy of language" allow us to classify trees as tigers, or whales as fish? On a biology exam, if someone said that whales are fish he would be marked wrong. And I don't think that Wittgenstein believed that whales are fish, whatever he believed about the autonomy of language.


Wittgenstein was a competent user of language so I agree that he would not believe that a whale is a fish for that is not what the word "whale" means. Of course, a whale has the appearence of being a fish but biologist's have decided not to classify living things merely on superficial appearence.

Wittgenstein's claim for the 'autonomy of language' or, his more commonly used expression, 'the arbitrariness of grammar' can be difficult to grasp. It is meant to counter a natural tendency that we have: to try and justify our grammar or use of words by appealing to reality.

To be honest, I am still working on understanding it myself. I have found Wittgenstein and those philosophers who work under his influence to be very helpful in resolving or understanding better some philisophical problems I was struggling with in the past. Because of that I have a tendency to be sympathetic toward some of his positions even though I do not understand them completely myself. I at times find discussions of this sort can be helpful for attaining that understanding. It may be that when I understand better what Wittgenstein was about in claiming that language is autonomous that I will reject it.
 
Reconstructo
 
Reply Sat 6 Mar, 2010 03:13 pm
@prothero,
prothero;136801 wrote:
Numbers are for quantity. Numbers are signs.
Words are for quality. Words are symbols.
Quantlity is always more ambiguous as well as capable of conveying more textures of meaning. Reality is composed of both quantity and quality. Science only deals with quantities.


I agree, quite a bit. THe only exception is that science needs a few words in order to connect its numbers to measurements. as wittgenstein saw, that's where it gets tricky. we have to attach newtons equations to a particular object, which exists as both quality and quantity.. once the mental model is constructed, pure math can finish the job, but then the applier of this model must address particular objects (qualia and quanity) to make use of such.

It seems that man is the collision of quantity and quality. Neither is known w/o the other, as even our barest formal logic is written in contingent symbols. (we could have always used other symbols...as visual or sonic symbolizations are all of them accidental, not essential.

---------- Post added 03-06-2010 at 04:15 PM ----------

Ahab;136932 wrote:
Wittgenstein was a competent user of language so I agree that he would not believe that a whale is a fish for that is not what the word "whale" means.


Witt wouldn't be silly enough to bother with such an issue, as he has no quarrel with taxonomy. He goes to the heart of the relationship of formal logic and living language. The word "whale" shows what it means. And that is all.
 
Ahab
 
Reply Mon 8 Mar, 2010 09:12 am
@fast,
fast;136482 wrote:
I think I have good handle on the distinction between a concept and what a concept is a concept of. For example, my concept of Earth is one thing, and what my concept is a concept of, namely, Earth--aka the referent of the term, "Earth" is another thing. One is a mental entity, and the other is not. One's existence depends on my existence whereas the other does not.

Just as we can distinguish between 1) a concept and 2) what a concept is a concept of for concrete objects, so too ought we be able to do so for abstract objects.


Why should we assume that 'abstract objects' should be treated the same as concrete objects'? Because they both have the word "object" in them? We have many different uses for words and expressions.

An analogy:
We have a concept of the King in Chess and we have the chess piece that symbolizes the King. That concept doesn't exist in your mind. And the chess piece that stands in for the King can be said to refer to the King just as you say that 'three' refers to three. Is there an abstract object called "King" that is mind-independent?

Also, I'm not quite clear by what you mean when you say we can distinguish between a concept and what it is a concept of. Certainly a concept of gold is not an actual nugget of gold. But then neither is it a bag of chips. So we can distinguish between a concept of gold and a piece of gold. In the same way we can distinguish between a concept of gold and a bag. And we can distinguish between a concept of gold and a concept of a bag. But a concept is not like a container in which you can distinguish between that container and what is inside it. How would one distinguish between a concept and what it is a concept of?

 
Zetherin
 
Reply Mon 8 Mar, 2010 09:14 am
@cws910,
Ahab wrote:

How would one distinguish between a concept and what it is a concept of?


By saying this:

Quote:

Certainly a concept of gold is not an actual nugget of gold.


You distinguished.
 
kennethamy
 
Reply Mon 8 Mar, 2010 09:23 am
@Reconstructo,
Reconstructo;136674 wrote:
It's obvious that such generalities are human inventions. But we had good reasons to separate the whale from the fish. We wanted a coherent system, as coherence is probably the basic structure of what we perceive as true.


So is the generalization that all water is H20 created by people, but, of course, the general fact it describes is not created by people. And the same is true of all whales are mammals. No one created the fact that water is composed of hydrogent and oxygen, and no one created the fact that all whales are mammals (and not fish).
 
Ahab
 
Reply Mon 8 Mar, 2010 10:19 am
@kennethamy,
kennethamy;137507 wrote:
So is the generalization that all water is H20 created by people, but, of course, the general fact it describes is not created by people. And the same is true of all whales are mammals. No one created the fact that water is composed of hydrogent and oxygen, and no one created the fact that all whales are mammals (and not fish).


A whale has some properties that scientists use to classify it as a mammal and not a fish. If there is a fact here it is a linguistic one. If our biological taxonomy was based on superficial appearences then whales would most likely be classified as a fish and that would be considered a fact.

The substances we encounter in the world around us have a vast array of properties. We choose which properties are going to be used for classifying them.
 
Zetherin
 
Reply Mon 8 Mar, 2010 10:21 am
@Ahab,
Ahab;137535 wrote:
A whale has some properties that scientists use to classify it as a mammal and not a fish. If there is a fact here it is a linguistic one. If our biological taxonomy was based on superficial appearences then whales would most likely be classified as a fish and that would be considered a fact.

The substances we encounter in the world around us have a vast array of properties. We choose which properties are going to be used for classifying them.


Yes, but all he's saying is that we do not make something have the property it has. That is, we do not create the fact, we discovr it.
 
fast
 
Reply Mon 8 Mar, 2010 10:25 am
@cws910,
Ahab,

Earth is the third planet from the Sun. That's a fact, but it's not a fact that is dependent on humans. Earth, the number three, and the Sun exist, and they exist independent of humanity. The human observation of the fact is dependent on humans, but neither the actual objects nor the RELATIONSHIPS between the actual objects are dependent on humans. The human observation of the physical relationships are mind-dependent, but the actual physical order of objects to other objects are not.

I think you have no issues in making a distinction between 1) the word, "earth", 2) your very own concept of Earth, and 3) Earth, and I think you believe (just as I) that the existence of Earth is independent of minds. Also, what I say in regards to Earth should stand for the Sun as well.

What's important in this conversation is what is being referenced by the words, "Earth," "three", and "Sun," but what I believe the word, "three" refers to is different than what you think the word, "three" refers to. You seem to make no distinction between the concept of the number three and the number three, and you fail to make that distinction because you think the number three is itself a concept, and to explain to you why I think that is a failing, I take you back to the fact, "Earth is the third planet from the Sun."

I have no qualms agreeing with you in that our concepts of the number three is dependent on us, but you need to keep in mind that I believe the referent of the numeral, "three" (hence, the number three) refers to something that isn't conceptual. Just as the relationship between objects in the sky isn't conceptual, so too is it the case with the number three. Yes, we invented the numerical classification system, just as we invented a classification system for other phenomena, but what's important isn't the classification but rather what's being classified-the actual states of affairs (or facts of the world).

If another system had evolved (as you pointed out), the actual facts of the world (like the one I keep mentioning) would not have changed. The facts would still be there for our discovery. It's a non-human dependent fact that Earth is the third planet from the sun.
 
Zetherin
 
Reply Mon 8 Mar, 2010 10:28 am
@cws910,
fast wrote:

Earth is the third planet from the Sun. That's a fact, but it's not a fact that is dependent on humans. Earth, the number three, and the Sun exist, and they exist independent of humanity. The human observation of the fact is dependent on humans, but neither the actual objects nor the RELATIONSHIPS between the actual objects are dependent on humans. The human observation of the physical relationships are mind-dependent, but the actual physical order of objects to other objects are not.


That makes sense. Thanks. You have nearly convinced me.
 
Ahab
 
Reply Mon 8 Mar, 2010 10:30 am
@Zetherin,
Zetherin;137537 wrote:
Yes, but all he's saying is that we do not make something have the property it has. That is, we do not create the fact, we discovr it.


Yes, I agree that it is an empirical finding that whales have certain properties. But we choose whether or not to use those properties depending on the taxonomy we have created. We did not discover the taxonomy itself, we discovered things that we classify according to the already established taxonomy.
 
Zetherin
 
Reply Mon 8 Mar, 2010 10:32 am
@Ahab,
Ahab;137541 wrote:
Yes, I agree that it is an empirical finding that whales have certain properties. But we choose whether or not to use those properties depending on the taxonomy we have created. We did not discover the taxonomy itself, we discovered things that we classify according to the already established taxonomy.


As far as I understand you, that's correct.
 
Fido
 
Reply Mon 8 Mar, 2010 10:49 am
@prothero,
prothero;136801 wrote:
Numbers are for quantity. Numbers are signs.
Words are for quality. Words are symbols.
Quantlity is always more ambiguous as well as capable of conveying more textures of meaning. Reality is composed of both quantity and quality. Science only deals with quantities.

I would agree with the notion that numbers are signs, excepting one, which is a concept, and all the other numbers are signs in proportion to one...
 
 

 
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