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To: PatrickHenry; Ichneumon; betty boop; tortoise; Physicist; Doctor Stochastic; All
Thank y’all for your replies, PatrickHenry and Ichneumon! You guys are so much fun!

My question: Wouldn't every one of the examples of "transitional fossils" you provide in your exhaustive post actually be subject to the fallacy of quantizing the continuum?

PatrickHenry: The increasingly evident fact that there are no clear-cut quanta (isolated species), but everything, past and present, forms a continuum, is what common descent is all about.

Ichneumon: No, because they're samples along the continuum of morphological change, and not being presented as discrete entities. In fact, it's the anti-evolutionists who commit the fallacy of quantizing the continuum, by trying to assert that these transitionals are all "separate" creatures, and that there exist no further links between them.

PatrickHenry wins the prize for consistency with tortoise’s definition of the “continuum” and Physicist's and Doctor Stochastic's explanation thereof. However you both lose for applying the fallacy when it helps you and ignoring it when it doesn’t.

The fallacy was first raised to refute our attempt to define life v non-life (or death) in a project to investigate the theory of abiogenesis. IOW, the fallacy would say that it is impossible to define a point in the continuum at which life exists and thus abiogenesis is idle speculation. The same concept was used elsewhere in arguing when/if a fetus is alive in the womb.

To the contrary of your assertion, Ichneumon, a “sample” is in fact a discrete fossil, a quantization of the continuum, like a lizard or a snake, for instance. But there is no quantizable beginning for snakiness, as Physicist explains here.

The key presumption of the theory of evolution, as PatrickHenry has said, is that a continuum exists. Everything in the theory depends on it being a continuum and yet the evidence for the theory is quantization of that presumed continuum.

IOW, if the evidence for a continuum is the quantization of it and the quantization of a continuum is a fallacy per se then ipso facto evolution is false.

Anyone interested can read more about how the fallacy was defined and explained (and protested) here:

On Plato, the Early Church, and Modern Science: An Eclectic Meditation (post 633 and forward).

Personally – and I believe I can speak for betty boop here – the fallacy of quantizing the continuum is a smoke screen. To borrow my own phrasing from another thread:

There are so many ways to avoid facing Truth. The old-fashioned way of closing one's eyes, covering one's ears and whistling has been replaced with more fashionable equivalencies, e.g. - rabbits and rocks are both made of subatomic particles thus there is no difference between life and non-life/death, quantum superposition exists therefore observations at the classical levels must also be uncertain, computers can be envisioned to mimic man’s intelligence and therefore consciousness in the natural world is merely an epiphenomenon of the physical brain, the dead albatross and the live albatross are both made of the same DNA and chemicals therefore there is no distinction between life and death.

One must choose. Either you accept the fallacy of quantizing the continuum or not.

If you agree with betty boop and with me and do not accept it, then the theories of evolution and abiogenesis survive.

However, if you do accept it, well, then …

It is my duty to inform you that the theory of evolution passed away at 11:12:03 PM CST 01/20/2005. He had lingered in a coma since 1:18:10 PM CST 01/13/2005.

Though he was a combat veteran of many skirmishes with intelligent design and young earth creationism, his death was by natural cause. There was no evidence of fatal wounds on the body.

He was both loved and hated – but I ask those who hated him to please not celebrate or gloat but allow the family time to grieve.

I realize you are all interested in knowing the circumstances of his death and so I’ll devote the rest of this press conference to tell you what I know about it. I was there, so I can speak as an eyewitness to the events.

As you know, evolution was an old man – over 100 years old, as a matter of fact. And this was one of the few times in his life that he wasn’t involved in a fight. Actually there wasn’t even a fight going on, but the way he rushed in to the defense of his son, abiogenesis, I suspect he misinterpreted the scene and that may have led to his death.

Abiogenesis was just a baby and it was time for his first thorough examination here on the forum. I was one of those running tests on him. It is true that the tests were rigorous and there was some concern whether or not he could survive. But we were all being very careful not to kill him. The investigators reached a few conclusions about his health.

We determined that in order for there to be a theory of life from non-life, there had to be a clear definition of what life is. The panel agreed that that which is living can be discerned from that which is not living by the presence or absence of information, which is based on the Shannon-Weaver model, roughly “successful communications”. The comparison of a live skin cell to a dead skin cell (from the same person) was a base thought experiment although the same definition would find humans, cats, bacteria, viruses, spores, pollen all alive and rocks, stars, water, DNA and chemicals all not alive. We had not yet begun tests on autonomy, semiosis or complexity – we had only gotten the definition of life v non-life and death “nailed” and determined that there is currently no known source for information in space/time though we hadn’t yet looked at geometry and string theory.

That is when evolution had his heart attack. He grabbed his chest and keeled over in the examining room, muttering “quantizing the continuum fallacy”.

As you know he always is surrounded by body guards and his personal physicians. As they were working on him, his body guards explained what he meant by those, which turned out to be his final, words.

The term basically means that it is a fallacy to pick a single point out of a continuum. They gave an example of a person thought wealthy if he made $100,000 a year and not if he made $99,999.99 a year. They applied this to the distinction we made between life and death – saying that it means there is no distinction between life and non-life in the continuum.

Whereupon hearing that, abiogenesis immediately vanished into thin air. It was shocking at the time, but looking back on it now it makes sense – because if there is no definition of life, there can be no theory of life from non-life. Abiogenesis could not exist. Perhaps that is why nobody seemed to mourn him – it’s like he never existed at all, even to the bodyguards.

The bodyguards continued in their explanation of evolution’s last words.

They said the same fallacy of quantizing a continuum would apply to species – that there is no clear point in time in the geological record when a lizard begins and a snake begins.

Upon hearing that, evolution went into the coma from which he never recovered. Best I can tell he went into shock because his skeleton is the “tree of life” and the beginning side of each of the limbs disappeared into this fallacy and his skeleton simply, came apart and fell away. IOW, if there is no beginning to a limb then there can be no connection – and evolution himself existed not because limbs existed, but because he is the connection between the limbs, the theory of the origin of species, i.e. common ancestry He wasn’t the bones, he was the structure of the bones- but, alas, now the bones were lying on the floor without a beginning in physical reality, at least that anyone could see.

Outside the window, the evolution haters were celebrating, they had made big signs declaring that evolution can’t be a science if it based on a fallacy, the fallacy of quantizing the continuum.

His own physicians tried valiantly to revive him. We who had been examining his now no longer existing son tried to help by pointing to evolution’s vital organs – the connections themselves.

One of his own physicians came up with a procedure to try to save him – he made a gummy substance and proceeded to slap it on the bones lying on the floor in order to form some kind of a beginning for the bones in physical reality.

The physician called this substance a statistical distribution within the continuum and used the example of a bell curve wherein there may be a range of points in which a more obscure difference (such as between a snake and lizard) might be observed in a continuum.

But it was in a word, the bodyguard’s own word, fuzzy – there were no boundaries to the substance. It was loose in his hand – not as firm as bread dough and not as flimsy as water, something in between. They were all hoping it would be enough to give a beginning to the limbs so evolution could be reconnected.

So they tried to lift him up but the connections did not hold because the beginning of the limbs were still arbitrary. IOW, the distribution itself was derived from data points each of which is a fallacy of quantizing the continuum. It was better than limbs lying on the floor without a beginning at all in physical reality, but the beginnings of the limbs were nevertheless obscure, fuzzy, lacking boundaries – or as the evolution-haters were exclaiming outside the window, capricious.

He could not stand. His connections were not strong enough to hold the weight of his bones. He just keeled over again.

Attempts to revive him ceased and the bodyguards and personal physicians left the scene.

Whereupon I had a duty to declare him dead and have called this press conference to inform the forum because he was, after all, much loved and also much hated.

I realize there will be many recriminations over his death. Fortunately for those of us who were working on his son, everything was recorded.

Also, I’m sure there will be attempts to revive him. Or because under the fallacy of quantizing the continuum there is no distinction between life and death, there will be denials that he is dead at all. But for those of us who still see a distinction between life and death, he is most assuredly dead.


310 posted on 01/20/2005 9:12:18 PM PST by Alamo-Girl
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To: Alamo-Girl; Ichneumon
The key presumption of the theory of evolution, as PatrickHenry has said, is that a continuum exists. Everything in the theory depends on it being a continuum and yet the evidence for the theory is quantization of that presumed continuum. IOW, if the evidence for a continuum is the quantization of it and the quantization of a continuum is a fallacy per se then ipso facto evolution is false.

I think we have different understandings about what this fallacy is all about. To me, the fallacy of quantizing the continuum occurs when: (1) the subect being dealt with actually is a continuum; and (2) someone siezes upon an artifically defined segment thereof (a quantum) to declare something about that segment which is allegedly unique to it and not to that segment's boundry regions. For example: "All people earning between $x and $y enjoy bowling, and will vote for my candidate." Probably not a great example, but it gives you the idea. Another: "All second-graders are ready to learn decimals."

The application to biology is readily apparent. If Darwin were right, and all life is related by common descent, then it form a continuum, rather than a collection of discrete groupings we call "species." Thus, even where no intermediate forms are now alive, the theory predicts that they once did live, and perhaps will be found. So finding transitional forms confirms a prediction of the theory, and establishes the continuum. Whereas insisting that each "kind" is and always was unique is an example of the fallacy.

326 posted on 01/21/2005 3:52:37 AM PST by PatrickHenry (<-- Click on my name. The List-O-Links for evolution threads is at my freeper homepage.)
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To: Alamo-Girl; PatrickHenry; Ichneumon; betty boop; tortoise; Doctor Stochastic; All
IOW, if the evidence for a continuum is the quantization of it and the quantization of a continuum is a fallacy per se then ipso facto evolution is false.

Sophistry. Evolution is of course quantized at the level of the individual. The fossil record is of course tied to that quantization, because fossils are necessarily the remains of individuals. To claim that that disproves evolution is a farce, because it could not have been otherwise.

Note: that doesn't mean there is no continuum between lizards and snakes, because "lizard" and "snake" are abstract human concepts which discrete individuals match to non-discrete (i.e. continuous) degrees.

331 posted on 01/21/2005 5:11:02 AM PST by Physicist
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To: Alamo-Girl; PatrickHenry; Ichneumon; betty boop; tortoise; Physicist; Doctor Stochastic; All
Alamo-Girl: Wouldn't every one of the examples of "transitional fossils" you provide in your exhaustive post actually be subject to the fallacy of quantizing the continuum?

PatrickHenry: The increasingly evident fact that there are no clear-cut quanta (isolated species), but everything, past and present, forms a continuum, is what common descent is all about.

Ichneumon: No, because they're samples along the continuum of morphological change, and not being presented as discrete entities. In fact, it's the anti-evolutionists who commit the fallacy of quantizing the continuum, by trying to assert that these transitionals are all "separate" creatures, and that there exist no further links between them.

[Alamo-Girl again:] PatrickHenry wins the prize for consistency with tortoise’s definition of the “continuum” and Physicist's and Doctor Stochastic's explanation thereof. However you both lose for applying the fallacy when it helps you and ignoring it when it doesn’t.

No, I don't believe we do apply it inconsistently. On the contrary, I think you've misunderstood the sort of fallacy that tortoise is calling "the fallacy of quantizing the continuum".

He was speaking specifically of the kind of fallacy that is often called "black-and-white thinking", "all-or-nothing thinking", "either/or fallacy", or "false dichotomy". However, those terms all describe a general class of fallacious analysis, and it seems to me that tortoise chose a new name to cover just a *specific* type of this fallacy which seems to come up a lot in science/anti-science discussions.

The specific type he wanted to address was when a property which exists along a continuum is erroneously treated as if there is (or should be) a sharp line between different states, or that the two (or more) states are entirely disjoint. This is the type immortalized literally in the name "black-and-white thinking" -- when someone insists on partitioning all cases as either "black" or "white", when the issue actually exists across a continuum of white on one end, black on the other, and various shades of gray in between.

In the thread in which he introduced that name, he was pointing out that betty boop's comment about the "obvious" difference between living and nonliving things overlooked the fact that there are things which rest in a gray area (like viruses), and that in the rise of life-as-we-know-it from inorganic beginnings, there would have been several stages where both the terms "living" and "nonliving" would be strained in varying degrees if applied. "Life" as we now know it has *several* properties (replication, metabolism, interaction with its environment, energy storage, autonomy, and more), but a system which has only some (but not all) of those properties (*and* in varying degrees) would not entirely accurately be described as either "living" *or* "nonliving". This was tortoise's point.

I'm not going to rehash whether I think this was a fair critique of betty boop's post or not (dead horse), I'm just clarifying which kind of fallacy he was describing, so that I can address your current charge that PatrickHenry and I somehow "apply it inconsistently".

And I disagree with part of your summary:

IOW, the fallacy would say that it is impossible to define a point in the continuum at which life exists and thus abiogenesis is idle speculation.
I agree with the first half (that it would be a fallacy to define a *particular* point in the continuum at which "life" suddenly exists where it had not at all existed a moment before), but I disagree with the second half, concerning whether this would mean that "abiogenesis is idle speculation". I don't believe that was tortoise's point at all. In fact, I think it might be the exact opposite: By trying to "see" a sharp dividing line between "life" and "nonlife", one would have trouble understanding abiogenesis, because one would be looking for a "poof" moment when life "suddenly" arose from "nonlife". But this expectation would be mistaken, since abiogenesis would be the *gradual* emergence of life-as-we-know it by the slow one-at-a-time accumulation of the *many* processes which, all together, make up the complex system that we are familiar with under the label of "life". Between a chemical "soup" and even the simplest modern single-celled organism would be many stages in the "gray area" between "nonlife" and today's "life" as we are used to seeing it. Only by understanding that there *is* (or if you prefer, "would be") a continuum of nonlife/life is one able to begin to grasp the concepts of abiogenesis in a meaningful way.

To the contrary of your assertion, Ichneumon, a “sample” is in fact a discrete fossil, a quantization of the continuum, like a lizard or a snake, for instance.

First, pointing to a discrete spot on a continuum (or even labeling it for convenience) is NOT the same as "quantizing" the continuum. It in no way attempts to conceptually BREAK UP the continuum into DISJOINT, conceptually erroneous "blocks", which is the sort of fallacious quantizing that tortoise was speaking of.

Let's use a rainbow (or light spectrum/continuum, to be more technical) as an example.

Example #1, discrete samples from the continuum: "The light at this point in the rainbow has a wavelength of 660nm, and is red. The orange light over here has a wavelength of 620nm."

Example #2, quantizing the continuum: "This band is red, and this band next to it is orange." ("Um, you've drawn the line between them in the middle of an orangey-red color, and there's some of that in both your "red" and your "orange" bands, plus how did you choose that particular spot to divide it at, since the red smoothly transitions into orange all in between?") "No, dammit, this band is all *red*, and this band is all *orange*!"

Example #1 picks out discrete spots in the continuum for demonstration purposes, but doesn't misrepresent (or misunderstand) the continuum nature of the rainbow as a whole. Example #2 does, in exactly the way tortoise was describing -- by attempting to shoe-horn all portions of the continuum into ill-fitting conceptual "boxes" which are inappropriate ways to handle values that vary across a continuum and have, in reality, no sharp boundaries, only changing gradations.

It's like the difference between these two images:

The first accurately captures the "blurring" of one color into another. The second misrepresents the rainbow as having mono-colored "bands" which suddenly "shift" to another color at a sharp boundary.

But there is no quantizable beginning for snakiness, as Physicist explains here.

I never said that there was. I wasn't trying to quantize evolutionary change. And pointing to discrete points on the continuum is not quantizing it.

The key presumption of the theory of evolution, as PatrickHenry has said, is that a continuum exists.

It's not a "presumption", it's very strongly supported by the evidence. The paradigm of a continuum of living forms over time is the *conclusion*, not the premise.

Everything in the theory depends on it being a continuum and yet the evidence for the theory is quantization of that presumed continuum.

I think you're misunderstanding the term "quantization" as tortoise was using it.

IOW, if the evidence for a continuum is the quantization of it

It isn't.

and the quantization of a continuum is a fallacy per se

Not per se, although it's quite often an error (and tortoise was speaking of the *fallacious* use of it) -- just as invoking ad hominem in an argument is usually done in a fallacious way, despite the fact that it can be used appropriately (as when a source's reliability is legitimately called into question).

then ipso facto evolution is false.

Your premises are flawed, therefore your conclusion does not follow.

Whereupon hearing that, abiogenesis immediately vanished into thin air. It was shocking at the time, but looking back on it now it makes sense – because if there is no definition of life, there can be no theory of life from non-life. Abiogenesis could not exist. Perhaps that is why nobody seemed to mourn him – it’s like he never existed at all, even to the bodyguards.

I know you're trying to be humorous, but this really misrepresents the argument. The point isn't that there is "no definition of life", the point is that any definition which excludes the existence of gray areas, or which purports to be able to draw a clear objective line between life and nonlife for all conceivable cases, is a false and misleading one.

They said the same fallacy of quantizing a continuum would apply to species – that there is no clear point in time in the geological record when a lizard begins and a snake begins.

Correct. It's like asking for the "clear point" where the rainbow's "red" ends and "orange" begins. One *transitions* into the other. Failing to acknowledge, recognize, or understand this leads to incorrect analysis and conclusions -- and similar fallacies occur when people attempt to understand biology in general, and evolutionary biology in particular, without a good grasp of the fact that *transitions* can't be accurately conceptualized with "either/or" logic. Just as it's a nonsensical question to ask where in the rainbow red "first" appears, it's a logical error to ask when the "first" mammal was born, or to think of a reptile "suddenly" giving birth to a mammal. The change occurred *gradually*, across *many* generations, from a very "lizardlike" form, eventually to a "lizardish with vaguely mammalian features" form, to eventually something that people might consider "mostly mammal", and sometime down the road (but with no clear "aha" dividing line) to something we'd consider "fully mammalian" (like, say, a wolf). This same error is repeated endlessly on these threads by people who ask to see "an ape giving birth to a human". That's not how evolution happens, and it's fallacious to try to quantize an evolutionary continuum in that way, into an "either all ape or all human" way of thinking about it.

IOW, if there is no beginning to a limb then there can be no connection – and evolution himself existed not because limbs existed, but because he is the connection between the limbs, the theory of the origin of species, i.e. common ancestry

Again, this is a misrepresentation of the point.

Outside the window, the evolution haters were celebrating, they had made big signs declaring that evolution can’t be a science if it based on a fallacy, the fallacy of quantizing the continuum.

Again, this is incorrect.

The physician called this substance a statistical distribution within the continuum and used the example of a bell curve wherein there may be a range of points in which a more obscure difference (such as between a snake and lizard) might be observed in a continuum.

Yawn. Satirizing the evidence doesn't make it go away.

IOW, the distribution itself was derived from data points each of which is a fallacy of quantizing the continuum.

No, it isn't, as I've pointed out above. An observed data point is in no way the kind of "disjointing" that tortoise was describing as a fallacy.

Also, I’m sure there will be attempts to revive him. Or because under the fallacy of quantizing the continuum there is no distinction between life and death,

Yet again, this is a misrepresentation of the point.

The point is not that "there is no distinction between life and death", the point is that any definition which treats them as entirely disjoint sets -- or declares that the gray area can safely be ignored -- is going to be incorrect. Similarly, even though there are shades of gray in between which people need to take into account, that's not the same as arguing that "there is no distinction between black and white".

But for those of us who still see a distinction between life and death, he is most assuredly dead.

There is "a distinction", of course, but the boundary between is far more complex than most people realize.

Now, could you please explain why you allege that PatrickHenry and I, specifically, have some sort of double-standard on this issue? Please use specific examples from my posts, if you can.

332 posted on 01/21/2005 5:29:35 AM PST by Ichneumon (.)
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To: Alamo-Girl; PatrickHenry; Ichneumon; betty boop; tortoise; Physicist; Doctor Stochastic; All
For a good example of trying to "quantize a continuum", see this page on the comparison of various fossil hominid skulls. Scroll down a page or two to the table, "Creationist Classifications of Hominid Fossils". As the chart makes entirely clear, and the text explicitly points out, when the creationists try to "quantize" fossil skulls into the two disjoint categories of either "ape skull" or "human skull", they trip all over themselves (and each other) trying to decide which one goes where.

Excerpt:

As this table shows, although creationists are adamant that none of these are transitional and all are either apes or humans, they are not able to tell which are which. In fact, there are a number of creationists who have changed their opinion on some fossils. They do not even appear to be converging towards a consistent opinion. [...] Creationists, on the other hand, assert that apes and humans are separated by a wide gap. If this is true, deciding on which side of that gap individual fossils lie should be trivially easy. Clearly, that is not the case.
[highligting in original] The point is that even if one refuses to accept the evolutionary explanation for the apparently transitional skulls between ape and man, the fact remains that the skulls actually *do* map out a *continuum*, with various skulls having more/less ape and less/more human features, and it is an error which leads to immediate confusion if one attempts to "force" the skulls into artificially quantized categories of "all ape" or "all human".

The *reality* of the skulls is that they lie along a spectrum from "fully ape" on one end and "fully human" on the other, with "some of both in varying amounts" in between. Any attempt to quantize them into separate "buckets" immediately ties itself in knots and fails, as the chart makes quite clear.

341 posted on 01/21/2005 6:12:41 AM PST by Ichneumon (.)
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To: Alamo-Girl

You seem really upset that the definition of life is not settled. Please calm down and try to understand why this is so.

It is not difficult to determine that an entity is the offspring of a living thing. DNA and RNA are giveaways. It is also not difficult to determine that an individual that used to metabolize has ceased to metabolize. (Except for viruses, which never did, and spores, which have suspended metabolism.) So except for the trillions of bacteria that are able to to suspend animation and reanimate under more favorable conditions, it is fairly easy to distinguish living from dead.

But if there is a chain of chemical evolution leading to life, and if we can reconstruct it (or one of the possible chains), it will be difficult to determine which step is uniquely the first living entity.

Without that history, or a plausibly reconstructed history, we don't really know how easy or difficult it is to define life.


360 posted on 01/21/2005 8:16:52 AM PST by js1138
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