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Language, thought, and infinty

 
  

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—| x |—
15:09 / 15.04.03
Now please Quantum, I don’t want to come off as being hard on you—we try to keep the unnecessary pain and suffering to a minimum around this house (buh-boom).

Now please kindly look at what you’ve said. On the one hand, you want to deny there is any objective reality—you are, as you say, “…a hardcore subjectivist/idealist.” But on the other hand you say, “A shovel is tangible, an object…”; so which is it? Is a shovel a tangible object existing “out there” or is it only in your head? Which answer can you prove?

You say that “A shovel is more real than the word 'shovel',” which I am inclined, in a sense, to agree; however from that it doesn’t follow that “…a shovel is more real than the number '1'.” What seems to follow, on your terms, from what we are discussing is that One is more real than the word ‘one’ or the symbol ‘1’. But, with respect to both our positions, it is the same way that the set of relations which makes a shovel is more real than our word for that shovel, like you said. Unless, of course, it’s all in our head, but in which case you seem to say that the shovel (or One) that is in our head is more real than the word that we have for it, in our head.

To put this all a little differently, by affirming idealism and denying realism we seem to reinforce that there is a difference, that there are limits, in the same way that our denying idealism and affirming realism does. As I said previously, we don’t seem able to establish objectivity or subjectivity—alls we gots to go on is a view (to a kill, no wait) from an ‘I’. Or differently still, think of it in terms of your namesake: a quanta is experienced as a wave, a quanta is experienced as a particle—the patterns of our experience are subjective, the patterns of our experience are objective.

So what you're saying is we can't directly experience infinity?” Well, not really, I am saying that we generally don’t experience infinity so long as we view ourselves as finite and discrete in a world—subjective and/or objective—of finite and discrete forms of experience. Typically, I think it’s often the case that “…we can only experience too-many-to-count or too-small-to-see due to our [I would add, perhaps, “habitual”] finite senses.” And certainly I concede that this “…is enough for us to have a conception of the infinite,” and that “We can think about it even though we can't directly experience it…and invent a word to label that concept- 'infinity'.” However, I would also hasten to add that, in the (please forgive the cliché) “bigger picture,” ‘infinity’ is as self-referential as a ‘shovel.’

Thus, I’ve been trying my best to tell a story about makes “…infinity special.” And I am curious—what sorts of “other things” do you have in mind that we do not directly experience?

Now I’ve got to go eat a bowel of cereal and go to bed—the kids at the school behind this dwelling are almost ready to go for morning recess! Thanks again for another heavy workout!

eZ dreams.
 
 
Quantum
15:10 / 15.04.03
'..this I shall do by printing in the infernal method, with corrosives, which in hell are considered salutory and medicinal, melting apparent surfaces away to reveal the infinite which is hid.'
William Blake
 
 
Quantum
15:22 / 15.04.03
If I believed in an objective world I would say the shovel is more real than mathematics, which is a human construct that only exists in our heads. A shovel is more real than the word 'shovel', thus a shovel is more real than the number '1'.

see the disclaimer? The shovel is in your head (funny mental image!)

"the shovel (or One) that is in our head is more real than the word that we have for it, in our head"
My point is that there should be quotes around One, as it is only a word, I believe it has no referent in the world (to use that terminology and assuming there is an external world). You can't point to it. Language is not in the world even if there is a world. Mathematics ditto.

"we don’t seem able to establish objectivity or subjectivity—alls we gots to go on is a view (to a kill, no wait) from an ‘I’"
That's subjectivism you're describing, a view from an I. So we can establish subjectivity.

I'm trying to think of examples of things we don't experience but am hungover and my brain not worky good now. Tomorrow will be focussed yes.
 
 
LVX23
17:26 / 15.04.03
el Zilcho wrote:
As I said before, I think all our words create an interpretation of events that “shield our minds” from direct contact with an infinite bundle of relations.

Language is a convenience for reducing the infinite into manageable terms. The ultimate referent of anything is the unified plenum of the electromagnetic spectrum - the "infinite", or Absolute. However, the referent of words is not in this realm. Language evolved to describe the phenomenal and it is our over-reliance on it which drives us to imagine that we can use words to describe the Absolute.

Consider the phenomenon known as "dog". As a young child free of the definitions of language, "dog" is a wild, soft and sharp, bouncing, wet slobbery mess of joyful play and sudden ferocity, friendly and loyal, sometimes obedient and servile, yet free and unbound. The description can go on an on in an infinite effort to adequately capture the essence of the experience of this creature.

But as the child grows and acquires language and the tools necessary for survival, the experience of such entities becomes reduced to a cataloging. The experience is replaced by the definition. Now we glance atthe creature and quickly catalog the change in our environment based on whether it poses a threat or not: "Dog. Tail wagging. Friendly."

Language is primarily a tool used to interact with the phenomenal world and to catalog it within the context of biosurvival. Mathematics seeks to quantify the phenomenal world in order to develop more accurate predictive models of its behavior. Both fail to adequately describe the human experience of the Absolute. The term "infinity" succeeds as a sense of the Absolute only in it's inherent paradox - it defies itself as a descriptor by defining itself as beyond description: "Without limit and boundless".
 
 
6opow
22:34 / 16.04.03
Nothing to see here. Move along!

i.e., pure unadulterated thread rot—more or less

Borges, Burroughs, and Blake?!? Well, don’t balk at the heavy hitters…

“He walked toward the sheets of flame. They did not bite his flesh, they caressed him and flooded him without heat or combustion. With relief, with humiliation, with terror, he understood that he also was an illusion, that someone else was dreaming him.”
—Borges, from “The Circular Ruins”

“I can see two tiny pictures of myself, and there’s one each of your eyes. And they’re doing everything I do: every time I light a cigarette, they light up theirs; I take a drink, and I look, and they’re drinking too. It’s driving me crazy! It’s driving me nuts!”
—Burroughs, from “Sharkey’s Night”

“How do you know but ev’ry Bird that cuts the airy way,
Is an immense world of delight, clos’d by your senses five?”
—Blake, from “The Marriage of Heaven and Hell”

Observation: BBB = 222, which is, according to some sources, the numerical correspondence of beyond good and evil.

“I turn around, and it’s fear. I turn around again, and it’s love.”
—Laurie Anderson, from “Sharkey’s Day”

What’s all this got to do with infinity? “Hey sport, you connect the dots, you pick up the pieces,” as Burroughs intones from the same source as his quote above.

We now return you to your regularly scheduled program.
 
 
—| x |—
02:36 / 17.04.03
If I believed in an objective world I would say the shovel is more real than mathematics, which is a human construct that only exists in our heads. A shovel is more real than the word 'shovel', thus a shovel is more real than the number '1'.

OK, let’s proceed slowly please. I’m pretty sure that I’ve articulated my position without reference to whether or not there is an objective world; that is, your belief is not in question.

Let’s go from the assumption that there is an objective world. Here I am saying that there is a pattern of material that is a one in the same way that there is a pattern of material that is a shovel. Further, there are words that more or less relate to these patterns of material: ‘one’ or ‘1’ for the former, and ‘shovel’ for the latter. The pattern that ‘1’ relates to exists as a group of relations in the same way that the pattern which ‘shovel’ relates to is a group of relations. On this view, we have “sense-reference” as exhibiting “meaning of word” to “object as external entity.”

Now, let’s go on the assumption that there is no objective world. Here I am saying that there is a pattern in consciousness that is a one in the same way that there is a pattern of consciousness that is a shovel. Further, there are words that more or less relate to these patterns of consciousness: ‘one’ or ‘1’ for the former, and ‘shovel’ for the latter. The pattern that ‘1’ relates to exists as a group of relations in the same way in that the pattern which ‘shovel’ relates to is a group of relations. On this view, we have “sense-reference” as exhibiting “meaning of word” to “object as internal entity.”

Please notice that the position I am attempting to articulate works the same on either an idealist or realist view. So again, “a shovel is more real than the word 'shovel', thus a shovel is more real than the number '1'” isn’t a valid move to make (see third paragraph of my previous post). We can point to an instance of ‘one’ in the same way we can point to an instance of ‘shovel’ regardless of whether or not these things are objective or subjective. For example:

When I go to work in the garden, I grab my handy spade. I say to my friend, “Hand me that spade,” and she says, “What?” I point to the spade, “Hand me that.” I have pointed to an instance of ones and an instance of shovels. There they are—whether as objects in an objective world or as objects in a subjective world—each has the same “reality.” The words ‘one’ and ‘shovel’ both pick out something.

I am saying that, subjectively or objectively, “things” are patterns, groups, sets, etc. of relations. If you want to continue to disagree with this, then you have to say why “things” aren’t patterns of relations and you have to say what we are going to assume that “things” are. To reiterate one more time:

“I am saying…[pick almost any noun or pronoun], [then it] refer[s] to [or bears a more or less definite relationship to]…[some] thing [or pattern of experience]…I am saying that…‘1’ [like ‘shovel’] picks out something in the world that is no more or less [of a] fiction...” Please, if you disagree, then your disagreement can’t be based on an idealist view, or realist, because what I am saying is independent of whether or not there is an objective or subjective world—I need you to explain why it is that you disagree that a noun or pronoun doesn’t bear some relationship to a pattern in, or of, our experience. And again, please include why you feel “things” aren’t patterns of relations and provide an alternative assumption to work with.

Language is not in the world even if there is a world. Mathematics ditto.

But this simply isn’t so. Language (and here we’ll take mathematics as falling under Language—we both agree!) is clearly in the world as it is present in our experiences—it is as much “in the world” as trees, dogs, people, cars, lakes, etc. Regardless of whether there is only an objective world or only a subjective world, language is an element of the world; that is, language is in the world. Perhaps you could say more about what you mean?

I don’t think a “view from an ‘I’” establishes or describes subjectivism—at best it points to solipsism. But solipsism is, in a sketch, only the doctrine that an I exists and nothing else. This I can be seen as either the entire objective reality or as the entire subjective reality; however, solipsism by itself does not establish idealism or realism—there needs to be some other assumptions to tip it one way or the other. Granted, solipsism is generally taken to lean towards idealism; however, I think this requires presuppositions and it seems that we could choose to think that only we, as an I, exist, and still maintain that this I exists expressed as all objective phenomena. A peculiar form of solipsism for sure, but not an untenable one.

To put this differently, idealism and realism need one another to define what they are; thus, they are not separate but interdependent. Again, “…think of it in terms of your namesake: a quanta is experienced as a wave, a quanta is experienced as a particle—the patterns of our experience are [ideal], the patterns of our experience are [real].” I see no distinction between realism and idealism other than a matter of taste, as a matter of our method of observation (like quanta will be wave or particle depending upon our method of observation): but method is not truth—method can only establish what it presupposes.

Switching gears a little, LVX, it appears that you’ve captured the infinite side of linguistic representation. It does seem as if any, as you say, “…description can go on an on in an infinite effort to adequately capture the essence of the experience…” And yes, it does seem that as we grow older we tend to allow words to become more and more rigid and finite in our interpretations of their meanings: we become habituated to the reflection of self as finite and discrete, and so, our interpretations follow suit. In a sense, this infinite side of linguistic representation is for us: it is a function of how we experience other things in the world.

However, I also have an intuition that the things are, in themselves, infinite. This side of infinity is inherent to the thing being considered. To use your example, I have an intuition that a dog is, in itself, infinite with respect to the composite of relations that make the dog, well, a dog. However, and for whatever reasons (biological, psychological, etc.), we do not normally experience the dog—or any other thing—as it is in itself: we experience the dog as it is for us.

Language evolved to describe the phenomenal and it is our over-reliance on it which drives us to imagine that we can use words to describe the Absolute.

I think this is where we go to “the map is not the territory” idea. I think we can use words to describe the Absolute, if there is such a thing, but the words will never adequately represent the thing. Where I feel that some words more or less relate to things, I also think that, in relation to the Absolute, words are only less of a relation and not more. But of course, this leads to another paradox to coexist with the one that you point out regarding ‘infinity’ as “…a descriptor…defin[ed]…as beyond description”: a dog is, it seems to me, in itself infinite, and so, a dog is the Absolute, which requires that the word ‘dog’ is less of a relation to the dog and not more, and yet, we use ‘dog’ as if it relates to the dog more and not less.

Like a dog chasing its tail, we move in eZ circles.
 
 
Quantum
07:01 / 29.04.03
Just a quick one- eZ; "there is a pattern of material that is a one in the same way that there is a pattern of material that is a shovel"
No there isn't. Show me the pattern of material that makes up a one. A number, like a word, is not a physical object- a written word or numeral may act as a marker to represent the number one to us, but you cannot say that numbers are material objects- they're not.
More later....
 
 
Quantum
07:09 / 29.04.03
(eZ)"idealism and realism need one another to define what they are; thus, they are not separate but interdependent....I see no distinction between realism and idealism other than a matter of taste, as a matter of our method of observation"
I take idealism and realism to be the same doctrine (Monism) taken from two sides (wave/particle, idealism/realism) and defined in relation to Dualism. So I'm happy to ignore whether or not the world is mind or matter.
So accepting that lets focus on the intentionality of language (let's agree mathematics is a language). How do words (signs, maps) relate to things (signifiers, territory)? They 'point to them'. What does that actually mean? How can a word point? How do words get their 'aboutness'?

If we can agree on the relation of words to things IN GENERAL then we can debate the relation of the word 'infinity' to it's signifier (if it has one).
 
 
Adamant
16:35 / 29.04.03
Whether you are a materialist or an idealist doesn't really matter. Both must distinguish between internal and external. Words, conventions, ideas, potentials, and concepts exist in the internal. Manifestations of the above exist in the external.
 
 
—| x |—
21:24 / 29.04.03
Just a quick one- eZ; ‘there is a pattern of material that is a one in the same way that there is a pattern of material that is a shovel’.

Ooo, ouch, good call! I’ve used an improper bit of language to convey what I wanted to say. It would have been better for me to write:

“There is a pattern in our experience that is a ‘one’ in the same way there is a pattern in our experience that is a ‘shovel’.”

A number, like a word, is not a physical object…

Yes, in a sense I agree: a number and a word seem to share the same sort of ontological existence (whatever that existence might be!).

…a written word or numeral may act as a marker to represent the number one to us, but you cannot say that numbers are material objects

Again, I agree, in a sense; however, what I am trying to get at is not so much about “material” objects, but more about what we can at least say about objects in general, or better, what we can at least say about our experience with respect to “objects.”

I'm happy to ignore whether or not the world is mind or matter.

Excellent: let’s leave behind such a distinction, as we cannot really conclusively decide one way or the other, and as the terms seem to be interdependently defined.

How do words (signs, maps) relate to things (signifiers, territory)? They 'point to them'. What does that actually mean? How can a word point? How do words get their 'aboutness'?

Excellent questions, and I don’t pretend to know the answers. However, in line with what I’ve been saying throughout this thread it seems that, to the extent we can be sure, we can be certain that there is experience. Further, within or composing experience, there are patterns. Some of these patterns we percive as “objects” while other of these patterns we percieve as “ideas.” Using this distinction we can (tentatively) say that an actual shovel is a pattern of the former kind, while the word ‘shovel’ is a pattern of the latter kind.

I think that at this stage what Adamant has said is very important. There is an apparent distinction that we make between the external and the internal. Now, while on the one hand I don’t think this is a real distinction, i.e., it is merely another binary pair interrelated and separated one from the other via dualism; on the other hand, the problems we are having in this discussion appear to turn on this distinction. We seem to be caught up in saying that “ideas” are internal and “objects” external. So, I have been attempting to articulate a position which is independent of the external vs. internal distinction.

What follows from this, in terms of what I’ve been putting forth, is that there are words, numbers, or symbols, which are patterns in our experience, which, in some way, bear a relation to objects and things, which are patterns in our experience. So, while I am not sure what this relationship is—it can be seen, I guess, as a “pointing to”—I think we can be sure, insofar as we can be sure, that there is some kind of relationship between these patterns of our experience. Put differently, we can at least agree that there is a “…relation of words to things IN GENERAL,” and I don’t think it is necessary here for us to go any further than this.

What I am saying about numbers, then, is that there is the “internal” representation of a particular number in the same manner as there is an “internal” representation of a particular shovel. These representations are both patterns of experience. Further, these “internal” patterns are related to “external” patterns; thus, there must be an “external” pattern of a particular number in the same way there is an “external” pattern of a particular shovel. Collapsing the internal vs. external duality, it follows that there is no more “reality” to a shovel than to a number—there are linguistic representations which relate to some thing (or “object”) in either case.
 
 
Nietzsch E. Coyote
22:54 / 29.04.03
Why must the connection be in the same manner?

"…relation of words to things IN GENERAL,"

Just because there is a relation in general does not mean that there is a relation in every individual case, language can be mistaken can't it?
 
 
Quantum
10:25 / 30.04.03
What I am saying about numbers, then, is that there is the “internal” representation of a particular number in the same manner as there is an “internal” representation of a particular shovel. These representations are both patterns of experience.
OK, nothing contentious there.

Further, these “internal” patterns are related to “external” patterns; thus, there must be an “external” pattern of a particular number in the same way there is an “external” pattern of a particular shovel.
Leaving aside the question 'what is the relation?' this is fallacious logic. You are assuming that because we assert the externality of a shovel we must also accept the externality of numbers. Why? It's entirely plausible (and indeed my position) that some patterns of experience are ONLY 'internal' and are thus distinct from those that relate to 'external' patterns of experience.
There are some internal patterns of experience that realate to sensory experience (eg the sight and texture of a shovel) and others that relate to imagined or purely mental experiences (eg the thoughts about numbers you have). 'One' is not like 'a shovel' because it has no texture etc. it is only in our 'internal' experience.

Collapsing the internal vs. external duality, it follows that there is no more “reality” to a shovel than to a number—there are linguistic representations which relate to some thing (or “object”) in either case
OK, no problem there.

So it's the middle part I take issue with.
 
 
—| x |—
06:20 / 02.05.03
It's entirely plausible (and indeed my position) that some patterns of experience are ONLY 'internal' and are thus distinct from those that relate to 'external' patterns of experience.

I thought your position was more that all patterns of experience are only internal? Isn’t that kinda’ what subjectivism is about?

There are some internal patterns of experience that realate to sensory experience (eg the sight and texture of a shovel) and others that relate to imagined or purely mental experiences (eg the thoughts about numbers you have).

I don’t think I am willing to draw such a sharp line between “sensory experience” and “mental experience.” In fact, I find it hard to conceive of one without the other, or perhaps, that there is any difference between them. Again, this is why I am saying that there “is no more reality” to a shovel than to a number. Since you agree with the “collapsing of internal and external,” then I don’t really see how there can be a problem with the middle part!

Just because there is a relation in general does not mean that there is a relation in every individual case, language can be mistaken can't it?

Hi Nietzsche! Umm, I think that accepting that there is a “relation in general” isn’t making any claims as to the accuracy or inaccuracy of the relation, or perhaps better, the authenticity or lack thereof of the relation. I don’t know if “language can be mistaken”—it doesn’t seem the sort of thing that is able to make mistakes; rather, it is more that it is the language user who is mistaken as to the status of the relation between word and experience.
 
 
Quantum
09:40 / 02.05.03
"I thought your position was more that all patterns of experience are only internal? Isn’t that kinda’ what subjectivism is about?"
Nah, subjectivism is primarily an epistemilogical position asserting that we can only know things about the world from our subjective point of view. I collapse the internal/external distinction because I think the external is a convenient fiction.
But I thought we were assuming the existence of an external world etc. to make the argument more accessible to those who do (most people)?
Anyway, your move is still a logical fallacy. You've said 'X is Y, Z is Y, X is A THUS: Z is A' a false deduction.

"I don’t think I am willing to draw such a sharp line between “sensory experience” and “mental experience." In fact, I find it hard to conceive of one without the other, or perhaps, that there is any difference between them. Again, this is why I am saying that there “is no more reality” to a shovel than to a number. Since you agree with the “collapsing of internal and external,” then I don’t really see how there can be a problem with the middle part!

But you must- otherwise dreams are as real as tables, memories are as real as perceptions, imaginings are as real as sensations. If you can't distinguish between a memory and a perception, every time you thought of a tiger you'd shit your pants and run away- you'd be mad.
If you're saying everything is as real as everything, then that's a much bolder claim than numbers are as real as physical objects. Are you?
 
 
Nietzsch E. Coyote
10:24 / 02.05.03
every time you thought of a tiger you'd shit your pants and run away

Just because the "thought of a tiger" is a real thing and a "tiger" is a real thing doesn't mean one would confuse one for the other. The map is not the territory.

Memories as memories are as real as perceptions as perceptions.
 
 
We're The Great Old Ones Now
16:47 / 02.05.03
Hmmm.

It appears there are far more imponderables and far fewer certainties than I implied. It hadn't occurred to me that a contemplation of our inability to understand completely a term such as infinity would expose our inability to understand anything completely at all.

I suppose that it should have.

Is there a difference in our inability to comprehend the finite and the infinite? Or are we co-equally ignorant?
 
  

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