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#1 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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Why Husserl's mathematisation of nature is important
This is an offshoot from another thread. I am going to try to explain what Edmund Husserl said and why he said it. He decided that it was impossible to get people to understand the metaphysical nightmare that philosophy was stuck in (and which the debates on this board are still stuck in) unless they retraced the stages of the development of thought that led to the current impasse.
Before the Greeks there was no science, no systematic philosophy and no geometry. When people spoke and thought about "the world" they simply referred to the world in which they lived. The world of trees and houses and people. Husserl asks you to reserve judgement at this time about what you think this world is "made of". There is just this world in which we live and Husserl refers to it as "the lifeworld". The first stage in the mathematisation of the lifeworld is the arrival of Greek geometry. Geometry does not describe the things we find in the lifeworld. Instead, it describe perfect versions of some aspects of those things. There are no perfect spheres or circles in the lifeworld. There are oranges, there are the moon and sun, but there are no absolutely perfect shapes like the ones we find in geometry. Husserl describes the entities of geometry as like "guiding poles" of perfection, which we might try to imitate in the lifeworld but which we can never actually attain. So the situation remained until Galileo comes along and has the bright idea of extending this mathematisation project to the whole of nature, whereby he might better transcend the confines of the subjectively experienced lifeworld and come to "better understand the mind of God". It is important to note that Galileo, at the time, still thought of the world as the lifeworld. The mathematisation was a deliberate ploy to better understand the way it worked, but it was never deliberately intended for the understanding of what "world" meant to shift from the lifeworld to the mathematisation of that world. The lifeworld is not completely mathematisable anyway. In the lifeworld you are presented with, say, a green apple. Now, you can geometrically mathematise the rough sphere, but how on earth are you going to mathematise the green? You can't. Well, you can't do it directly. You can only do it indirectly by abstracting something from the mathematised model. You can mathematise green by specifying the wavelength of green light, but this is an entirely different process to the mathematisation of the sphere, as I hope everyone will agree. The mathematisation of the sphere looks like a sphere. The mathematisation of green doesn't look like anything. It's just a number. Take another example. How are you going to mathematise felt temperature? You can specify the temperature of your nerve cells in degrees celsius, but this isn't even as useful as the wavelength, because a specific temperate in degrees celsius doesn't always feel the same - it depends on whether your hand is warming up, cooling down or staying the same. So this mathematisation of the lifeworld can never be complete and the mathematisation simply is not the lifeworld. However, the position of modern science which is defended by the people on this board considers the lifeworld and the mathematisation of the lifeworld to be identical. JREFers believe the world is made of atoms. Sure, it is also made of oranges and houses but those are made of atoms. But what are "atoms"? The word "atom" refers to an object in the mathematisation. The word "orange" refers to an object in the lifeworld. But oranges are made of atoms!!! Do you see the problem? At what point does it stop being the mathematisation and start being the lifeworld? Is it a continuum? It surely is not. Is there a sudden transition? No. Therefore we have a problem, it's a logical problem and it's a serious problem. At this point Husserl hopes that people can now begin the process of unravelling the mysterious mess we have got ourselves into. Somebody in the other thread said "So what? Why does this matter?" It matters because people (and at the time Husserl was writing it seemed like pretty much everyone) are not aware of this conflation of the lifeworld and the model of the lifeworld. It goes by unnoticed. But it is exactly this mistake which leads to the apparently unresolvable problems of metaphysics, and the only way to get beyond those problems is to go back to thinking of the lifeworld as the lifeworld and the mathematisation as the mathematisation. That's why it matters. What we call "materialism" is the result of getting the lifeworld mixed up with the mathematisation and failing to recognise that this has happened. What we call "idealism" is a dialectical reaction to this mistake which simply provides a mirror image of the mistake. Husserl therefore ends up being neither a materialist nor an idealist, regardless of the fact that he is often accused of being an idealist. ![]() Geoff. |
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#2 |
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Banned
Join Date: Aug 2004
Location: Waiting Long Enough By The River
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#3 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#4 |
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Banned
Join Date: Aug 2004
Location: Waiting Long Enough By The River
Posts: 17,897
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"Straw man".
That's two. We can all tell the difference between a mathematical model and reality. |
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Penultimate Amazing
Join Date: Apr 2004
Location: Detroit suburbs
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What I don't understand is why the mistake of confusing the lifeworld and its mathematisation somehow leads to the apparently unresolved problems of metaphysics, or why eliminating the confusion would help us get past those problems.
Occaisionally, I do see signs of this confusion, but not all that often, and I don't see that confusion leading to any of the struggles on this board or any place where people debate weighty philosophical issues. |
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Dave "War is Peace. Freedom is slavery. Particles are waves." |
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#6 |
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Master Poster
Join Date: Sep 2002
Posts: 2,074
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Both the "lifeworld" and the mathematization of nature, based on your descriptions, seem to both be models. The lifeworld as you describe it seems to refer to the various sensations by which we experience reality. Phenomena seem to me to be merely the internal model by which human beings automatically parse the universe into. I see no reason to believe that the sensation of "redness" actually exists in nature. (It might, but it might not.) The "lifeworld," as it were, is merely the model which our subconscious mind automatically constructs, whereas the mathematical world consists of the model which our conscious mind constructs quite deliberately and carefully. Neither is a truly complete model of reality, but the mathematical world seems better because it is the result of conscious effort.
In addition, it seems unfair to give atoms and oranges different levels of reality. We can see individual atoms, and we can see individual oranges. It just happens that we can see oranges with our natural faculties, whereas atoms can only be seen with additional help. But I don't see why the eyeball is so much better than the electron microscope. For what it's worth, I've long been of the opinion that much of metaphysics is utter bullsh*t. I am very much of the opinion of people such as Kant who say that the ultimate nature of reality is unknowable. |
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Never attribute to malice that which can be adequately explained by stupidity. -- Hanlon's Razor |
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#7 |
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Banned
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#8 |
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Banned
Join Date: Aug 2004
Location: Waiting Long Enough By The River
Posts: 17,897
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No. Nor have I tried breathing before wrestling with crocodiles.
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Muse
Join Date: Apr 2004
Location: Tennessee
Posts: 869
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I don't at all speak for Dr. A, but I would agree with him that many (probably not most) people on this board understand the limits of their philosophical leanings. It's easy to forget those limitations when we are debating back and forth.
However, in relation to the straw man accusation, I believe Geoff gave a fair criticism of a hardline materialist world view, which does deserve a bit more discussion. Again we are really talking about the models of understanding reality, and many of us know this even when we sound like we don't. Further, the statement from Geoff deserves more consideration: What we call "idealism" is a dialectical reaction to this mistake which simply provides a mirror image of the mistake. Husserl therefore ends up being neither a materialist nor an idealist, regardless of the fact that he is often accused of being an idealist. Where this post doesn't yet take us, and I am uncertain if Husserl does or not, is into the notion that of what we are really able to discuss outside of mathematization (or representation models) of empiricial facts. It also fails to really acknowledge the power and problems of nominalism as we move further away from empirical facts-- in which language serves a mathematical model of representation of both objective phenomomon and subjective noumenon, both of which exist as (at the bare minimum) ontological entities in the lifeworld. That said, it is important to realize that there are many scientists and logicians with the not-so-hidden agenda as to make idealism out to be a farce to begin with, in other words, treating it as an utter failure to communicate anything of value. This post addresses that very well. Flick |
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http://narcissus-shrugged.blogspot.com/ |
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#10 |
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Banned
Join Date: Aug 2004
Location: Waiting Long Enough By The River
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However, the fact remains that no-one is in any danger of confusing a mathematical model of reality and reality. For much the same reason that no-one is likely to try to eat the word "apple".
To misquote Samuel Johnson : "I am not so lost in mathematics as to have forgotten that numbers are the sons of earth and things are the daughters of heaven." NB : Flick --- re your signature --- I have a single hypothesis which can explain both the facts that puzzled Chesterton. Can you guess what it is? |
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#11 |
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Muse
Join Date: Apr 2004
Location: Tennessee
Posts: 869
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http://narcissus-shrugged.blogspot.com/ |
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Master Poster
Join Date: Jan 2002
Location: 60°N 25°E
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Penultimate Amazing
Join Date: Feb 2003
Location: Queensland
Posts: 10,265
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Thinking is skilled work....People with untrained minds should no more expect to think clearly and logically than people who have never learned and never practiced can expect to find themselves good carpenters, golfers, bridge-players, or pianists. -- Alfred Mander |
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#14 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#15 |
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Master Poster
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#16 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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Hello Meadmaker.
Thankyou for giving a coherent reply instead of an attempt at a two-word put-down. The unresolvable problems of metaphysics which we are usually struggling with basically started with a bunch of arguments about three metaphysical positions: cartesian dualism, materialism and idealism. Descartes and Galileo were contempories, so the mathematisation project of Galileo and the metaphysical project of Descartes were practically simultaneous. What makes the current situation unresolvable is the impossibility of getting rid of one half of Descartes dualism without doing violence to the other half. It's also really quite difficult to think and talk without unwittingly falling back into the same mistakes over and over again. The mathematised model isn't real. It is an idealised abstraction, in exactly the same way as the perfect shapes of geometry are idealised abstractions. Within the lifeworld, as it was implicitly understood before the mathematisation, all sorts of things exist which transcend the supposed distinction between mind and matter. The red apple is a classic example. The apple seems to be clearly material. Yet even though the redness occurs on the surface of the apple, it seems to be mental - at least it is very hard to figure out how it could be material. You say you can't see why this leads to confusion? Look at the post that followed yours:
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The reason Husserl's concept can get us past the problems of metaphysics is that it tries to get us to see that there is no way forwards out of this problem. As soon as the mathematisation has been confused with the lifeworld you end up with an implicit claim of materialism. As soon as this claim is made, somebody will come along and give you a dualistic or idealistic response which is very hard to rebutt because all it does is point out the stark staring obvious fact that we really do have subjective experiences and they really do contain unmathematisable components like the experience of seeing red or feeling warmth. We have taken a wrong turn, and are stuck in a blind alley. There is no way forward out of the blind alley. We can't fix materalism and we can't fix dualism or idealism either. So we must reverse to the point of the (unacknowledged) wrong turn. We must go back and grab a concept which existed implictly before the mathemisation and bifurcation, but which had no name other than "world". "World" is now a really difficult problem, because we can't agree what "world" is actually made of. So Husserl invents the term "lifeworld" and insists that we suspend judgement about what it is "made of" (he call's this an "epoche" or "bracketing of the question of existence"). In doing so we are not so much solving the problems of metaphysics than rewinding to a position before they occur - which is the only genuine way to escape them. As long as people continue trying to defend materialism, they are perpetuating the confusion unwittingly created by Descartes and Galileo. The key to understanding this, IMO, is fully taking on board the fact that materialism, as it is generally propounded at the moment, is not conceptually independent of dualism. The lifeworld, by contrast, is independent of dualism and the mathemetisation, because it predates both. Geoff |
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#17 |
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Lackey
Administrator / JREF Forum Liaison
Join Date: Aug 2001
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If it were all so simple! If only there were evil people somewhere insidiously committing evil deeds, and it were necessary only to separate them from the rest of us and destroy them. But the line dividing good and evil cuts through the heart of every human being. And who is willing to destroy a piece of his own heart? - Aleksandr Solzhenitsyn 1918-2008
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Penultimate Amazing
Join Date: Feb 2003
Location: Queensland
Posts: 10,265
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This paragraph is content-free, so I have nothing to say about it.
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Thinking is skilled work....People with untrained minds should no more expect to think clearly and logically than people who have never learned and never practiced can expect to find themselves good carpenters, golfers, bridge-players, or pianists. -- Alfred Mander |
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Lackey
Administrator / JREF Forum Liaison
Join Date: Aug 2001
Location: South East, UK
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Don't forget that is just one the ways it occurs - direct stimulation to the brain can also cause it e.g. damage, chemical, direct stimulation of the tissue by probes and so on. But of course I agree with your comment that in principle we have certainly now "found" redness.
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If it were all so simple! If only there were evil people somewhere insidiously committing evil deeds, and it were necessary only to separate them from the rest of us and destroy them. But the line dividing good and evil cuts through the heart of every human being. And who is willing to destroy a piece of his own heart? - Aleksandr Solzhenitsyn 1918-2008
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#20 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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Hello UserGoogol
You are trying to map the lifeworld onto the post-mathematised post-cartesian vocabulary that is inextricable from the problem. The mathematisation is quite clearly and explitly a model, but you must resist the temptation to think of the lifeworld as a model. You only think it is a model because you are thinking in terms of modern day computationlist/representationalist theories of mind. This is in fact a paradigm example of the problem Husserl is talking about. Modern cognitive science is so entrenched in the problem that it has turned experiences themselves into a model - a model in "the mind" of human beings. But there is nothing in Husserl's argument or my description of them which implies that the lifeworld is a model. It is entirely understandable why you see the lifeworld in terms of "sensations" or "mental models". But when I see a red apple I do not see sensations of an apple or a mental model of an apple, anymore than when I draw a tree am I drawing a drawing of tree. What I see is an apple. I hope you see what I mean. The lifeworld is not supposed to refer to "mental things", because "mental things" already presuppose the bifurcation. If it doesn't refer to "mental things" then it can't be mistaken for a model. There was nothing in my post that suggested the lifeworld is a model. That suggestion is coming from the way that you are thinking about the problem, and demonstrating the difficulty in thinking your way out of it. The confusion is utterly entrenched in our way of thinking.
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So - to return to your claim "it seems unfair to give atoms and oranges different levels of reality" do you see why it is fair to give the mathematised atom a different level of reality to the deep purple lifeworld atom that the micro-human encounters? Lifeworld atoms are purple. Mathematised atoms couldn't concievably be coloured at all. They therefore aren't the same thing and are justifiably ascribed "different levels of reality" i.e. they do not have the same ontological status. For the same reason, it is entirely "fair" to ascribe different ontological statuses to mathematised atoms and lifeworld oranges. All your example does is provide us with a thought experiment where there is some meaning to the term "lifeworld atom." This is fair enough, but a lifeworld atom still isn't a "physical atom".
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http://www.angelfire.com/md2/timewarp/husserl.html
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#21 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#22 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#23 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#24 |
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Lackey
Administrator / JREF Forum Liaison
Join Date: Aug 2001
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If it were all so simple! If only there were evil people somewhere insidiously committing evil deeds, and it were necessary only to separate them from the rest of us and destroy them. But the line dividing good and evil cuts through the heart of every human being. And who is willing to destroy a piece of his own heart? - Aleksandr Solzhenitsyn 1918-2008
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Master Poster
Join Date: Jan 2002
Location: 60°N 25°E
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That world is what world is and does what world does, and science creates mathematical models that describe how the world looks like and allows us to predict how it will behave.
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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What are you talking about, Kevin? In what sense was that paragraph "content free"? "Content-free" is when you get a rant or a flame or a total failure to say anything at all. The paragraph you are refering to contained a whole load of content. Why have you nothing to say about it? Do you agree with it? Do you disagree with it? Why?
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Most of the rest of your post is equally irrelevant to the argument supplied, and therefore of interest whatsoever.
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#27 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#28 |
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Lackey
Administrator / JREF Forum Liaison
Join Date: Aug 2001
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Posts: 64,741
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You are using a word that we have invented to describe certain "events" in the world around us and trying to extend the usage of that word to something it was not originally intended to cope with. (Not that there is anything wrong with extending how a word is used - it happens all the time and is just part and parcel of the evolution of language).
However there is nothing profound about your question - at best it just exposes a shortcoming in how the word "colour" is currently used and defined which, since it developed before we knew about "atoms" (as the word is used today), is hardly surprising. So I'm afraid the answer to your question is indeed "yes and no". |
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If it were all so simple! If only there were evil people somewhere insidiously committing evil deeds, and it were necessary only to separate them from the rest of us and destroy them. But the line dividing good and evil cuts through the heart of every human being. And who is willing to destroy a piece of his own heart? - Aleksandr Solzhenitsyn 1918-2008
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Master Poster
Join Date: Oct 2005
Posts: 2,064
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You may as well ask "what color is dye?"
A specific example of an amount of dye can be any color. 'Dye' as a concept has no ties to any specific color. Duh. |
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Arguing with the irrational is like giving medicine to a dead man or preaching to the damned. "Dance with us, GIR! Dance with us into oblivion!" "Oddly, stating that one has no creed assures that one has no creed." -- Upchurch "I am the only one here using reason." -- Interesting Ian "You cannot respond to the arguments of TIMECUBE!" -- TimeCube guy |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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#31 |
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Pachyderm of a Thousand Faces
Join Date: Jan 2002
Location: Sussex, England
Posts: 9,060
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Since when were colours "events"? I can't discern any meaning in this claim. Colours are properties of objects or properties of experiences or properties of sensations/sense data. Either way, they are properties rather than events.
The reason you are being forced to answer "yes and no" is because you have conflated the lifeworld with the mathematisation. In the lifeworld, atoms are coloured. In the mathematisation, atoms cannot possibly be coloured because you cannot mathematise colour. In my account, there is no contradiction. In yours, there is a blatant contradiction and rather than seeking to eliminate it you are just claiming it is not a problem. Having self-contradictory beliefs is a problem. "Are atoms coloured?" is an entirely valid question. It forces you to decide what you mean by the word "atom". You can't decide, so you have given both answers at the same time. If you don't think that is a problem, there's not much more for me to discuss with you. I suspect some readers of this thread will detect a problem here, even if you can't see it. Could you please go back to the original argument, and tell me at which point you do not follow it. Most of the people responding to me in this thread have not done this. You are all just skipping to the end, finding something you don't agree with and offering some or other attempt at a respecification of the problem according to your own belief system. I need you to actually follow the description of the historical process which occured since this is the essential difference between Husserl's attempt to solve this problem and the contemporary attempts to solve the problem. If you are going to disagree with Husserl, you must specify at which point in his historical account you don't follow his argument. You can't just disagree with his conclusion and fail to address his argument. Geoff |
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"I am real!" said Alice, and began to cry. "You won't make yourself a bit realler by crying," Tweedledee remarked: "there's nothing to cry about." |
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Nap, interrupted.
Join Date: Aug 2001
Location: a little toolshed
Posts: 18,589
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I vote we continue this conversation for 18 more days before we bother to define color. Also, someone please page Ian.
Geoff: Could you define color before you ask the apparently poignant question "What colour are atoms?" ~~ Paul |
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Millions long for immortality who do not know what to do with themselves on a rainy Sunday afternoon. ---Susan Ertz RIP Mr. Skinny |
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#33 |
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Nap, interrupted.
Join Date: Aug 2001
Location: a little toolshed
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Originally Posted by Geoff
~~ Paul |
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Millions long for immortality who do not know what to do with themselves on a rainy Sunday afternoon. ---Susan Ertz RIP Mr. Skinny |
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Nap, interrupted.
Join Date: Aug 2001
Location: a little toolshed
Posts: 18,589
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Originally Posted by Geoff
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Perhaps it concerns him that the mathematics does not "look like" the lifeworld things it models. But that's true of all mathematics. 1 + 1 = 2 doesn't look like what happens when I drop two pennies in a pile, which in turn does not look like what happens when I put two horses in a corral.
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~~ Paul |
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Millions long for immortality who do not know what to do with themselves on a rainy Sunday afternoon. ---Susan Ertz RIP Mr. Skinny |
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#35 |
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Lackey
Administrator / JREF Forum Liaison
Join Date: Aug 2001
Location: South East, UK
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Sorry from this post I thought you described phenonema like colour "events". Call it a property or somethign then.
I slightly disagree with how you define the property of an object - I would say that colour is a word we use to communicate between ourselves certain observations we make of the world. No I'm not it is because sometimes to communicate to someone else it is useful to say that a particular group of atoms has the "property" that we label as a certain "colour" and at other times it is useful to say they have no colour. It is right for me to say that a lump of carbon atoms "has" the colour black and it is also right for me to say that a lump of carbon atoms "has" no colour (i.e. coal and diamond). Both descriptions are describing "properties" of atoms so as I said the only answer to "Are atoms coloured?" (in the language you asked it) is "yes and no". Let me challenge you with one back - what colour is a carbon atom or a silicon atom? Apart from the fact I have shown that my answer was not contradictory but correct, given the language it was asked in, you do realise all you are doing here is making an assertion? I.e. how do you know that reality (whatever "it" *is*) is not self-contradictory? The world has left most if not all of these "metaphysical" speculation in the past - let me ask you a question - what colour is a "b quark"? There is evidence of only one reality and we have developed many different ways of communicating about the many different aspects of it to one another - some of these forms of communication work better for communicating certain ideas etc. then others. All you are talking about is how we use different languages (whether that be English, logic, maths and so on) to communicate about different things at different times and how sometimes we find one particular form of communication isn't very good at communicating something about reality. Again there is absolutely nothing profound about this. Our languages or forms of communication have always tripped up us because of course our language is not what reality *is* merely the way we communicate with one another about whatever reality *is*. |
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If it were all so simple! If only there were evil people somewhere insidiously committing evil deeds, and it were necessary only to separate them from the rest of us and destroy them. But the line dividing good and evil cuts through the heart of every human being. And who is willing to destroy a piece of his own heart? - Aleksandr Solzhenitsyn 1918-2008
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#36 |
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Master Poster
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Arguing with the irrational is like giving medicine to a dead man or preaching to the damned. "Dance with us, GIR! Dance with us into oblivion!" "Oddly, stating that one has no creed assures that one has no creed." -- Upchurch "I am the only one here using reason." -- Interesting Ian "You cannot respond to the arguments of TIMECUBE!" -- TimeCube guy |
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#37 |
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Master Poster
Join Date: Jan 2002
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#38 |
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Nap, interrupted.
Join Date: Aug 2001
Location: a little toolshed
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Originally Posted by Melendwyr
~~ Paul |
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Millions long for immortality who do not know what to do with themselves on a rainy Sunday afternoon. ---Susan Ertz RIP Mr. Skinny |
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#39 |
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Banned
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#40 |
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Illuminator
Join Date: Jul 2002
Location: UK/US
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Actually, I don't see a compelling reason why an abstract mathematical description of a shape is philosophically any different from an abstract mathematical description of a colour.
Both describe the results of our observations. This is where we lose you (IMHO). The closest anyone might get to agreeing with you is to say that the mathematical model could be used to predict the way we observe the "lifeworld" respond to various inputs. i.e. we can see a "ball" in the "lifeworld" and pick it up and throw it. The mathematical model can then describe exactly the way the ball arcs and drops and bounces. But we are not claiming that the mathematical description is reality, it's just a description, an aid to predicting/recording our subjective experience in the "lifeworld". Just as when Jane Austin writes about Eliza Bennett, we are reading a description... no one claims "these printed words are in some way the real eliza bennett". |
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