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A model is usually a simplification of reality, but that's a good thing when reality is dumbfoundingly complex. If science had started off by trying to explain the world exactly in all its richness of detail, and never settled for anything less, it would never have got anywhere.
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"A witty saying proves nothing" Voltaire. "All your bias are belong to us" Ara Pacis. |
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Here is a clear-cut instance of a model: Copernican Solar System Model What physically in scientific theory is like that plastic and metal assembly? (Is it the ink markings on the paper, etc.?) As an aside, let me point out that being in possession of that solar system model does not make one adept at understanding and dealing with the solar system. You can use the model to teach someone about the solar system, but there is little to no gain in merely producing or possessing the model. We could say that the scientific knowledge is not contained in the model. But if we see our student pointing out planets in the night sky and describing their orbits, then we are more likely to feel that we are in the presence of scientific knowledge, even if we cannot put our finger on exactly what that is. |
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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I observe a woman being sawn in two. In fact, it turns out there are actually two women concealed in the magician's box. There is a distinction here, but not between a model and a deeper underlying reality. I observe "the actual." The women in the box do constitute something "deeper," but perhaps you meant something more out of reach by "deeper underlying reality." It just so happens that some actual things look like other actual things from particular perspectives, that is, there is ambiguity in the light patterns, as the magician Teller says. Most importantly, none of this means I am in some way isolated behind a model. I'm in touch with the actual in all cases. I just come to master it better with experience and exploration. Quote:
The point here is that it is still possible to be in contact with actual, yet to be wrong. My examples with the golfer practicing his putts shows that as well. You don't need to introduce the model/absolute-reality dichotomy to explain why we are wrong. We can directly observe the actual and still screw it up! Quote:
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I'm really trying, Ken. I enjoy these discussions and partake of them in good faith. And I know how irritating I must be to others coming off as stubborn or as somebody who just doesn't get what seems obvious and in no need of explanation to most everyone else. One function of philosophical discussions, however, is to re-examine the obvious from time-to-time.
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I've decided to focus on this point, in the hope that it will clarify your position for me. I'm not sure that I quite understand what your position is--what it is that you're criticising. A lot of what you say sound like things I agree with, and have argued for many times too in these forums. Yet other things you say sound a lot like the pop-postmodernist "anything-goes" epistemological talk of ID proponents. But then you say you are not saying "do whatever you want, anything goes". And I get confused... ![]() My model of your worldview seems to be amiss... Evidently I need to make further observations. ![]()
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"A witty saying proves nothing" Voltaire. "All your bias are belong to us" Ara Pacis. |
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The crux of this seems to be defining the actual. You define it as the “here and now” - so, prior to GR, Newton’s laws were the “actual” but post GR are these laws seen as a simplification/model or are they still an "actual"? Is GR an “actual” waiting to be a simplification/model? I suppose that if one thought science was able to reach an “actual reality”, then one would be justified in saying that each step along that road could be the “actual”, but that surely is a huge speculation to make. It seems to me that as long as we cannot be confident with regard to the ultimate completeness of scientific explanations, then they can only ever be a model. The degree to which the model can be thought of as representing the “actual” is I think a very difficult question, which is why I think essentially it is a case of models all the way down to the fundamental levels of nature. And what do we find at that fundamental level?, well, a notion of reality that is mind independent and inaccessible. I can see how one may consider the predictive element of (say) Newton's laws will always be valid within its domain (unlike the rather transitory nature of descriptive elements) and from this perspective it could be thought of as always being an "actual", but after all said and done it is still an incomplete representation. Quote:
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Exactly. It is a shame that in the normal science education, we so often fail to convey that important insight.
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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In noting metaphorical aspects of what this or that person says, I am not criticizing; I am trying to clarify by offering another way of looking at the matter. Quote:
That's all I am saying. Once you acknowledge the figurative aspects of language, and recognize when they have creeped into a philosophical discussion, you can momentarily set such notions aside and look at what people actually do to succeed, to fail, to recovery from failure, to improve, etc. Quote:
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Tuna Casserole Recipe 1 Tuna Casserole Recipe 2 Newton and GR are two recipes or techniques for (among other things) predicting the positions and motions of bodies. Don't think of Newton's theory as just ink markings in a book. Think of a student who has drilled on the subject and then proceeds to calculate for us where to look for a given comet in 90 days time. That student is not moving closer to or farther from anything. He is doing something. It will either work well for him or it won't—for any number of reasons. Quote:
Suggesting that we are wrong because we possess a model that does not accurately represent reality overlooks all those factors. Blaming scientific failure on a model is an extremely simplistic metaphor. That strategy works to our advantage in general circumstances, so, I am not saying we shouldn't use the term “model” interchangeably with “theory.” But we may need to remind ourselves now and then that it is just a metaphor. Quote:
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Except figuratively speaking. Quote:
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The engineers don't observe RF energy “through instruments.” They observe the instruments and how they change as they alter the environment. They don't “relate the observed behavior to a concept of an electric field.” They calculate and cut antenna element lengths and configure antenna array geometries to maximize the needle positions on their instruments, to reduce the amount of static relative to signal coming out of the speakers, and so on. The way they treat antennas and the rest of their RF equipment may be similar to the ways they treat water waves and oscillating springs, but their techniques are not pictures, models, or representations of water waves or anything else. Quote:
Briefly, the techniques work as well as they do because they were tested. Good science is good procedure. Quote:
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1) Scientific knowledge is not the same as truth. If it were, we wouldn't need to revise it and correct it all the time. 2) Scientific theories should be regarded as simplifications of and approximations to the data on which they're based. They are never identical to the data. Therefore, we should not be surprised when they fail to describe the data with 100% accuracy. 3) I noted above that scientific knowledge is permanently subject to revision. But how do scientists determine when it should be revised, what should be revised, and how it should be revised? The answer is that scientific theories do not exist in a vacuum. They are not self-justifying (another reason why they are not the same as truth). There are standards in science that good theories must meet. One such standard is that the theory must be reasonably compatible with observation (though perhaps not with 100% accuracy, as I noted in the previous point). Each of these three facts shows that there are important dualities in science. Truth on one side, science on the other. The complexity of the data on one side, the simplifications of science on the other. Observation on one side, theory on the other. This is why it makes perfect sense to describe science and scientific theories as models of something else (it doesn't matter that we can't access that something else directly). Some people may feel uneasy about these dualities. They may long for a simpler, more holistic image, where science is not subject to the flawed judgement of the scientists, but merely proceeds forward with a life of its own, impartial and unhindered, gathering more and more itty bitty little facts until it becomes one with the truth -- like a shopping cart at a supermarket. The shopping-cart image of science has the appeal of giving the impression that science can do no wrong. Scientists never make any mistakes; they just need further data, sometimes. It's a more comfortable position. But isn't it interesting that many people formed in the hard sciences, such as Ken G, will instinctively reject the shopping-cart view of science? I would say more: it's telling. Because the shopping-cart image shows a deep misunderstanding of the scientific process. In reality, science is not an additive process that keeps going forward like a train firmly on its tracks, and just gobbles up more and more data. Sometimes, scientists need to throw away what came before, and go back to the drawing board. I find the picture metaphor much more realistic than the shopping-cart metaphor.
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"A witty saying proves nothing" Voltaire. "All your bias are belong to us" Ara Pacis. Last edited by Disinfo Agent; 12-July-2008 at 05:00 PM.. |
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Joe
This word "model" certainly seems to causing some problems that I'm not entirely sure are fully justified, so would it be worth getting back to basics? The dictionary defines the word as "a simplified description, esp. a mathematical one, of a system or process, to assist calculations and predictions." I think of the "system" as being our macroscopic reality, so from that perspective, the scientific model is a simplified description of that reality that allows us to understand nature in an objective manner. If we understood everything about nature then that understanding would not be a model, it would be the "system", but is science up to such a feat?(I think not). So if I suggest that science simplifies, then according to the dictionary definition Newton's laws and GR are both a model of the gravitational "system". Now this seems fairly uncontroversial to me, so is it the case that you don't see science as simplifying anything about our reality, or is it solely your dislike of the word "model" seeming to invoke a notion of underlying or distant reality as being distinct from a simplified scientific representation? Our science at the quantum level takes the form of predictive observations, not events - there is no "particle" prior to a measurement/observation. The predicted observation of a particle is clearly a simplified description of "something" within the "complex system" that consists of us as observers and a reality that is mind independent and inaccessible. That we are forced to acknowledge an element within the "system" that is outside of our knowledge, reinforces (for me) the dictionary definition of a model as a simplified representation since we have no possibility of ever reaching this element of mind independent reality. Again, in this context, the use of the term "model" to me seems fairly uncontroversial. I'm trying to avoid repetition from my posts, but I apologize for seemingly going over the same ground, I am having some difficulty in seeing where the problem with the use of the term model lies, and where exactly you are coming from (and why). Perhaps if we try and clarify things from basics, it may help. Incidentally, I am reading a book at the moment on Maxwell and there is a chapter entitled "spinning cells". It seems that Maxwell formulated a mechanical model to represent current flow, magnetic and electrostatic force and electromagnetic waves consisting of cells and wheels. He also derived the ratio of electrostatic and electromagnetic units of electric charge to give c from this model. This is what Maxwell said of the model: (from "The life of James Clerk Maxwell" by Basil Mahon) "The conception of a particle having its motion connected with that of a vortex by perfect rolling contact may appear somewhat awkward. I do not bring it forward as a mode of connexion existing in nature, or even as that which I would willingly assent to as an electrical hypothesis. It is however, a mode of connexion which is mechanically conceivable, and easily investigated, and it serves to bring out the actual mechanical connexions between the known electromagnetic phenomena; so that I venture to say that any one who understands the provisional and temporary nature of this hypothesis, will find himself rather helped than hindered by it in his search after the true interpretation of the phenomena." How would you see this in terms of the discussion? To me it seems that Maxwell obviously knew that electromagnetic and electrostatic fields were not actually microscopic cells and wheels, but he saw it as a means of representing a reality that he knew was completely different in nature to the model. There is implied a clear distinction between model and reality, and I can't help thinking that we could pretty much repeat Maxwell's quote in a more modern context say when (for example) talking about "travelling photons between a source and sink in vacuum)". |
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Hmm - correlation replacing theoretical constructs. It's interesting, but isn't equating correlation with cause, or ignoring cause altogether what got us magical thinking in the first place? Maybe the new magic will work a bit better than the old, being based on mountains of data, rather than a few scattered points mangled by confirmation bias - but at the end of the day, doesn't it leave you just as ignorant?
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http://amssolarempire.blogspot.com |
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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Another very nice thread, folks.
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Lighten up! This is a stellar board! Author: duh. "The mean of five measures each of which is not worth a dang (sinc), has a maximum value of only five dangs (sinc)". Heber Curtis "(sinc)" - spelling is not correct (in its orginal form) :) |
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A more interesting comparision is between Copernicus and the model of Tycho Brahe, because Tycho made all the same errors the Greeks did about inertia, motion, gravity, and the distance to the stars, but he had better data than Ptolemy, so he knew Ptolemy's model didn't work. So he was led to the idea that all the other planets orbit the Sun, not the Earth, but he still had to have the Earth be stationary so he had to make the Sun orbit the Earth! This is not nearly the "paper tiger" that is Ptolemy's model, because it is actually much more like Copernicus' model, it just focuses attention on that most key of questions: is the motion of the Earth special in some way? So it does require Newton's laws to give us the answer to this, nothing less will really suffice. Newton's laws unify our understanding so completely that they leave no room for the sterile idea that the Earth's motion is special, and that's what selects Copernicus over Tycho. Note I do not say we know whether the Earth orbits the Sun or the Sun orbits the Earth, because general relativity tells us that this is a meaningless question-- it is how we choose to look at it. But what we can say is that there is nothing special about the motion of the Earth, relative to other planets, that derives in anything but the fact that we are here and can therefore choose to treat its motion as special for purely subjective reasons. This is the real culmination of that debate, once the gross flaws in the Ptolemy model are dispensed with via even the most rudimentary telescopic observations, and once the Greek (and Tycho's) misconceptions about motion and gravity are corrected. Reaching this destination required Galileo's notions about inertia, Newton's notions about the sources and nature of forces, and even to some extent Einstein's notions about the arbitrariness of reference frames. What will be the next chapter?
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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It is interesting how Tycho combined the benefits of both models into his third model that brought the tidal change for the Jesuit scholars, who quickly adopted it. It seems his math skills were not exceptional, however, since he had to rely on Kepler to put his data to real use. [Kepler knew this, too, and refused to be an underling to Tycho.] Quote:
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However, I think we disagree here, just maybe. A causal foundation to any model has to be superior to one that offers little or no causal explanation if both models give the same predictions. This GR question is still quite foggy for me since both Newton and GR do offer a causal explanation for each: a gravitational field and spacetime warpage proportionate to mass, respectively. [Though my view of GR must be naive since we are still trying to snag some gravitons.]Quote:
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Lighten up! This is a stellar board! Author: duh. "The mean of five measures each of which is not worth a dang (sinc), has a maximum value of only five dangs (sinc)". Heber Curtis "(sinc)" - spelling is not correct (in its orginal form) :) |
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Much of the stuff done as physics and nearly all of cosmology fits into the same category. You don't need the "physical model" to get the best results. Modeling is just for us to be able to get new ideas, it doesn't help with the results. |
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You can think of this like taking your favorite vase from your living room, and deciding on a way to specify quantitatively the location of every point on the vase. You can put a "coordinate chart" on the vase to do that, and you can do the chart any way you like. However, once done, if you ask questions like how tired does an ant get crawling between various points, the answer will depend on some things that are special to your coordinates, and other things that are special to the shape of the vase. The former is arbitrary, the latter is the only thing in need of a "cause" (the shape of the vase).
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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Exactly. Causality is itself a model that gets folded into other models for all the same reasons that we make models in the first place: to unify experience.
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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Sorry to bump a (now) old post in this thread, but I'm late to the party ...
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I don't know what "astronomy meetings" you're referring to Ken G, but at the very least I think you are missing out on what happens when everyone gets back to the lab/institute/cubicle/whatever. I mean, if that were all there was, where would ideas for new observations come from? After all, astronomers don't use their zippy new equipment to simply get yet another spectrum of Vega with an x-fold improvement in resolution (to take a ridiculous example)! But perhaps I misunderstand what you were saying here ... |
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But, yes, that makes sense to me as I see the coordinate issue a math construct and not an interface; a wiring diagram but not the wires that actually interface with that reality beyond. It is the wires that have the juice.
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Lighten up! This is a stellar board! Author: duh. "The mean of five measures each of which is not worth a dang (sinc), has a maximum value of only five dangs (sinc)". Heber Curtis "(sinc)" - spelling is not correct (in its orginal form) :) |
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Indeed, I see it rarely enough that I take notice when I do see it (it does happen, of course). So that could be improved-- it turns out the skill to create a huge simulation is often quite a bit different than the skill to "boil one down" into what "really happened". It is the latter skill that I see as more and more lacking, whereas decades ago it was much more prevalent (largely because the black boxes had to be much simpler). I'm not saying no one combines those skills-- some do, and admirably at that. It's just not the typical theory or observational talk that does. As for stimulating future observations, in my experience observations are more often technology driven than theory driven. The CMB was not found because someone said "look for it" (though it almost was, it's true), it was found because the technology to see it was developed. Ditto for quasars, ditto for pulsars, ditto for gamma ray bursts. The theory does often say "you'll need X spatial and Y spectral resolution to see Z effect", but again those can all be callibrated by black box simulations once the discovery of the effect has occured. We do often see "cartoon" level descriptions of "what happened", but that's not what I'm talking about either, as the cartoons don't really tell you much (they won't usually give you factor-2 sorts of estimates, for example). What is (somewhat) lacking is descriptions like "although the full physics that went into the simulation was Y, it turns out that if you just focus on the simple effect X, you get a result whose gross level of accuracy is not that far out of step with the other gross idealizations that are being applied to the question." That is loosely how I would define "understanding". I should mention, however, that some problems do indeed have a fairly reliable level of precision in the calculations, like stellar interior models. So when the neutrinos come out wrong to a factor of 2 or 3, or if the model won't supernova when it is supposed to, those problems may be taken seriously and lead to new discoveries that can only come from detailed "kitchen sink" simulations (the fishing net, again). So such simulations have their place. I would say they are pretty much all you see, however. (Welcome back Nereid, long time no see!)
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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I don't mean the economic stuff, which I won't comment on, but your claims about physics and cosmology.
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"A witty saying proves nothing" Voltaire. "All your bias are belong to us" Ara Pacis. |
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Logic is the grammar of truth. Meaning and absolute certainty are incompatible, and profound meaning and absolute certainty are profoundly incompatible. The only thing intelligence is capable of is recognizing itself. |
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This is better seen, I think, when we regress to the antipodal apples scenario where apples on opposite ends of the globe fall simultaneously toward the ground so a fixed Earth model (relative to the apples at least) is superior than any other model for human semi-reality consumption. ![]()
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Lighten up! This is a stellar board! Author: duh. "The mean of five measures each of which is not worth a dang (sinc), has a maximum value of only five dangs (sinc)". Heber Curtis "(sinc)" - spelling is not correct (in its orginal form) :) |
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