Further, Darwins theory also asserts that there is an ancestry in the continuum leading from species to species and that is what I am saying requires a quantization of the continuum to assert. To use the rainbow metaphor again, it would be saying that because of the juxtaposition in the continuum of the rainbow, blueness descended from greenness which descended from redness (which we know is not a heritable trait in a rainbow).
That is patently absurd and why I reject the appeal to the fallacy of quantizing the continuum to argue against abiogenesis.
The blending of colors in the rainbows does not prevent us from knowing red from blue in the rainbow much less in everyday life. The blending of fossils in the geologic record does not prevent us from recognizing the difference between a horse and a man. And none of the proposed theories of abiogenesis would keep us from knowing the difference between a rock and rabbit or a live cat and a dead cat.
There were layers of continuums of what lies underneath. We were splitting rocks and rabbits until there was no distinguishable difference i.e. matter, subatomic particles, fields, geometry.
Frankly, it was absurd - the notion that life cannot be distinguished from non-life or death because all are made up of the same stuff. betty boop used the example of going to the top of the Leaning Tower of Pisa and throwing off a live albatross, a dead albatross and a 12 lb cannonball.
You also should have kept reading the Plato thread because, at that time, noone was trying to define the difference between life and non-life or death from the biochemical characterizations. That is, as you probably know, a creationist argument and we were trying to investigate abiogenesis scientifically and objectively. The model we chose was mathematical, Shannons mathematical theory of communications.
Later, when we gave up on trying to discuss abiogenesis, we began looking at life v non-life or death in the here-and-now. At that time another mathematical model with biological characterizations was asserted by betty boop, the Irvin Bauer model.
But the arguments against being able to define life v. non-life or death became even more absurd. Namely, since we can envision artificial intelligence such as von Neumanns probe therefore there is no difference between life and death/non-life. So we clarified that we were speaking to life which occurs in nature.
The assertion then was that life in nature is indistinguishable in terms of higher or lower lifeforms - amoeba is equal to man. Naturally, we found that absurd as well and pointed to a host of alternative theories for the rise of complexity in biological life Kolmogorov, functional, self-organizing, physical, etc.
There were quite a few sidebars along the way but that is the gist of it.
The geologic continuum is the continuum of focus to Darwin. From it, he asserted a continuum of biological life, common descent. But that is only one of the continuums involved here. And the conclusions being drawn right and left by asserting continuums and decrying quantizations are patently mindless.
Everyone knows there is a difference between life and death and between life and non-life. Everyone knows there is a difference between lifeforms. If they didnt, theyd be moving to ban antibiotics and grant equal rights to bacteria.
It is the argument itself the fallacy of quantizing the continuum - which is absurd, a smokescreen which prevents serious investigation of important issues here on the forum.
The fallacy of quantizing the continuum this continuum, that continuum, all the continuums was being thrown around like smoke bombs and obfuscated the issues we were trying to discuss.
But two can play that game so I volleyed it right back to yall by applying the fallacy of quantizing the continuum to the theory of evolution.
In sum, it is not possible for us to describe a rose and not be able to use the names of colors because their boundaries are obscured in a rainbow. If we say that green is made up of yellow and blue the fact that green, yellow and blue all occur in a rainbow somewhere sometime does not make it any less clear that green is made up of yellow and blue.
The divergence of our understanding begins here. If I say that you are descended from your grandfather, it's true that there is an intermediate generation to be identified. I don't see how this requires "a quantization of the continuum to asset." We don't disagree that individuals are quantifiable. It's the chain of common descent that makes up the continuum. True, each generation is made up of individuals. That's not a contradiction, or an invocation of the fallacy.
Er, if I might ask, how can you not see that there is a sharp dividing line between life and non-life? If that makes it tough to defend abiogenesis, well thats too bad. A thing is either alive or it is not. Any life-capable system is either alive or dead (unless it is Schroedinger's cat who "explained" quantum superposition...).
There is no continuum involved with the question, simply the question of whether a thing lives or not. Life departs abruptly, suddenly, all at once, as it were. A cancer patient may suffer for years, but his death needs only an instant to occur. That being the case, the inception of life (which I imagine precedes the physical occurrence of birth) may well also be quite sudden and abrupt.
And what does Darwins theory of evolution have to do with it? Darwin avoided the question of life altogether: He just assumed that God made it (like most people in his time), and then went on to look at the evolution of the forms living systems could take. He never, ever dealt with the phenomenon of life per se, nor did he spend much time speculating about how life got started.
To put it crudely, Darwin dealt with the outer forms or husks of living organisms, the rise of species, their transitions, etc., etc. So why are we having an Evo food fight over this issue of life vs. non-life? If you think that evolution = life -- or even that biology per se = life, for that matter -- then I think youre very, very confused....
To repeat a statement you made: "...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'."
How do you know that abiogenesis is a "gradualist" process,"as opposed to assuming it "must be" a gradualist process?
And why do you say that "life is a complex process?" It could be the simplest thing in the world. The complexity enters in with how biological forms "wire into it." But again, that's not the same thing as what is life? That is only the how of life.
But life is what we were discussing over on the other thread, what observed characteristics it has in living forms and other matters, when a ginned-up "fallacy," "quantizing the continuum" so-called, popped up. It was a non sequitur from its first appearance, as its author almost certainly is aware.