The
Cosmic Zoo: Complex Life on Many Worlds is a recent book about
the possibilities of extraterrestrial life. Written by Dirk
Schulze-Makuch and William Bains, the book is mainly a look at
earthly biology, with attempts to assure us that what we see on our
planet isn't all that amazing, and that we should expect to see
similar wonders all over the universe. On page 181 of their book,
the authors make this Panglossian statement: “So if life arises on
a distant exoplanet, it will also traverse the path from simple to
complex, unicellular to multicellular, and produce intelligent
animals capable of tool use in its forests and kelp beds, providing
the planet is habitable long enough.”
To
promote such runaway optimism, the authors introduce a classification
scheme attempting to categorize biological innovations. They
maintain that biological innovations can be put into three
categories: (1) the Critical Path model; (2) the Random Walk model;
(3) the Many Paths model.
On
page 5 the authors define the Critical Path model like this:
Each
transition requires preconditions that take time to develop...Once
the necessary preconditions exist on the planet then the transition
will occur in a well-defined timescale. It is like filling up a bath
tub; once you turn on the taps, the bath will fill up. It just takes
time.
On
page 5 the authors define the Random Walk model like this:
Each
transition is highly unlikely to occur in a specific time step, and
the likelihood does not change (substantially) with time. This may be
because the event requires a highly improbable event to occur, or a
number of highly improbable steps....Once life exists on a planet,
ultimately the key innovation will occur, but when it occurs is up to
chance, and whether it occurs before the planet runs out of time and
becomes uninhabitable is not knowable.
The
last sentence is rather confusing, because “ultimately the key
innovation will occur” suggests inevitably, but the rest of the
sentence suggests no inevitably at all. On page 9 they clarify that
this Random Walk model refers to something that is “quite unlikely
to occur.”
On
page 5 the authors define the Many Paths model like this:
Each
transition or key innovation requires many random events to create a
complex new function, but many combinations of these can generate the
same functional output,
even though the genetic or anatomical details of the different
outputs are not the
same. So once life exists the chance that transition will occur in a
given time period is high, but the exact time is not knowable.
Later
on page 9 they describe this Many Paths model like this:
There
are no specific preconditions for a Many Paths process other that
prior existence of life that can achieve the innovation. However,
once any appropriate precondition is met, the innovation will happen
fairly reliably some time afterwards (as measured in generations). So
it it almost inevitable that the innovation will occur eventually.
But because there are many ways that it can occur, then each time the
function will be
carried out by a different mechanism.
Throughout
the book again and again the authors attempt to convince us that
particular types of biological innovations that occurred on Earth
were examples of a Many Paths process, and that we should therefore
expect to see them commonly on other planets. The logic of the
authors seems to be something like this: when nature shows us
there are many ways in which a particular biological innovation can
be implemented, we can call this a Many Paths innovation; such
innovations are pretty likely because there are many ways they can be
implemented, not just one way.
But
such reasoning is very fallacious. To judge the likelihood of
something, we should not merely consider whether there is only one
way that it can be achieved, or many ways. We should instead consider
the ratio between the outcomes that do not achieve such a result and
the outcomes that do achieve such a result.
We
can give a concrete example regarding vision systems, the biological
systems that result in vision. In humans the vision system consists
of 4 main things: (1) the eye; (2) an optic nerve stretching from the
eye to the brain; (3) the visual cortex in the brain (a part of the
brain that interprets visual inputs); (4) very complex and fine-tuned
proteins such as rhodopsin that are used in vision, helping to
capture light. On page 6 the authors submit this as an example of a
Many Paths innovation. They state:
An
example of the Many Paths Model is the evolution of imaging vision.
Eyes that can make images of the world (not just detect light and
dark) have evolved many times in insects, cephalopods, vertebrates,
and extinct groups like the trilobites.
But
you would be committing a great error in logic if you reasoned like
the authors, and suggested that it is fairly likely that a vision
system would evolve, because there is not just one way to make a
vision system, but lots of ways. A better line of reasoning would
involve comparing the number of ways to arrange matter that do not
result in functional vision to the number of ways that do result in
functional vision. That would give you a ratio of more than
1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 to 1.
From such a perspective the appearance of a vision seems
fantastically unlikely.
It
is fallacious to argue that something is relatively likely
to occur because there are many ways for it to happen. Using such
reasoning we might argue that there is a pretty good chance that
tornadoes passing through a junkyard will one day assemble a car by
chance, because there are many different ways to assemble a car from
parts in a junkyard. Even though there are many types of automobiles,
the number of arrangements of matter that do not result in
automobiles is more than
1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 times
greater than the number of arrangements that do result in
automobiles. So the chance of an automobile appearing in such a way
is incredibly low, despite there being many different ways to make a
car.
Because
we do not show some outcome is likely or show that it even has one
chance in a trillion quadrillion of occurring by showing there are
many ways to achieve the outcome, the classification scheme offered
by the authors of The Cosmic Zoo is misleading, and should not
be used. But is there some better way to classify biological
innovations, some classification scheme that might shed a little
light on the chance of them randomly occurring on other planets?
Let
me sketch out such a classification scheme. The categories are below. The difficulty level refers to how hard it is for the biological innovation to occur by random mutations and natural selection.
Category
Name |
Description |
Example |
Difficulty
Level |
Category
1 |
A
biological innovation requiring no major structural change |
A
biochemical change resulting in sun-protective dark skin rather
than light skin. |
Low |
Category
2 |
A
biological innovation requiring some small structural change which
is repeated many times |
Hair,
which consists of thousands of repetitions of a single hair
follicle |
Moderate |
Category
3 |
A
biological innovation requiring multiple small components which
are either very simple and easy-to-achieve or complex but
individually useful |
Teeth.
Each tooth provides a small benefit.
|
Moderate |
Category
4 |
A
biological innovation requiring multiple complex components, none
of which by itself provides any benefit to the organism (no
increase in survival value or reproduction) |
A
vision system, requiring eyes, an optic nerve, a
light-interpreting visual cortex, and complex light-capturing
proteins (all are useless unless all 4 components exist) |
Fantastically
improbable; vastly harder than Category 3 |
The
difference between the difficulty of achieving biological innovations
in Category 3 and Category 4 is an exponential difference, which we
can colloquially describe as “all the difference in the world.” I
can give an exact numerical example to illustrate the difference.
Let
us imagine that some biological innovation requires five complex
components, each of which is individually useful once it occurred. If
a species consists of a million organisms, it might be that there is
(on average) only 1 chance in 100 of each of these components arising
by chance in this population during a 50-million year period. But if
each of these components is useful by itself, once such a component
appears in the gene pool a “classic sweep” of natural selection
might cause all of the organisms to get such an innovation after
several generations. So over the course of 50 million years, the
overall likelihood of the biological innovation occurring in the
population might be only a little less than 1 in 100 to the fifth
power, which equals 1 in 10 billion. Those are pretty steep odds,
but not totally prohibitive odds.
But
let us imagine that some biological innovation requires five complex
components, each of which is not individually useful once it
occurred, and each of which is not useful until all of the five
components have appeared in a single organism. If a species consists
of a million organisms, it might be that there is (on average) only 1
chance in 100 of each of these components arising by chance
mutations in this population during a 50-million year period. But if
each of these components is not useful by itself, once such a
component appears in the gene pool there would not be any “classic
sweep” of natural selection that might cause all of the organisms
in the population to get such an innovation after several
generations.
Now
the math ends up being radically different. Imagine the first
component arrives in the gene pool, and that such an arrival (at any
time during the 50 million years) has a chance of 1 in 100. If the
second component appears in the gene pool, it would need to occur in
some member of the population that already had the first component;
or else the second component would be wasted. The chance of this now
is 1 in 100 multiplied by 1 in a million (actually less 1 in a
million, because the first component, being useless by itself, would
probably have disappeared from the gene pool before the second
component arrived). So to get an organism with both the first and the
second component, we have an overall likelihood of less than 1 in 100
times 1 in 100 times 1 in a million. The same math ends up applying
to the third component, the fourth component, and the fifth. Overall
the math looks like this for the probability of ending up (at any
time during the 50 million year period) with a single organism with
all of the five components required for the biological innovation
(with the “1 in a million” coming from the size of this
population):
Chance
of first component appearing in gene pool per 50 million years: 1 in
100.
Chance
of second component appearing during this period in an organism
already having first component: 1 in 100 multiplied by less than 1 in
a million.
Chance
of third component appearing during this period in an organism
already having first and second components: 1 in 100 multiplied by
less than 1 in a million.
Chance
of fourth component appearing during this period in an organism
already having first, second, and third components: 1 in 100
multiplied by less than 1 in a million.
Chance
of fifth component appearing during this period in an organism
already having first, second, third, and fourth components: 1 in 100
multiplied by less than 1 in a million.
These
are all independent probabilities, and to compute the overall
likelihood of all of these things happening in this population
during the 50 million years we must compute the first probability
multiplied by the second probability multiplied by the third
probability multiplied by the fourth probability multiplied by the
fifth probability. This gives us an overall probability of less than
1 in 10 to the thirty-fourth power (less than 1 in
10,000,000,000,000,000,000,000,000,000,000.000). These odds can be
described as being totally prohibitive. We would not expect such an
event to occur even once in the history of the galaxy, even if there
are billions of life-bearing planets in the galaxy.
Do
we see any of these Category 4 innovations occurring in earthly
history? Yes, we see them occurring rather often. One example is the
appearance of a vision system. If we consider a minimal vision
system consisting of several eye components, an optic nerve, a part
of the brain specialized to interpret visual signals, and at least
one fine-tuned light-capturing protein, then we have a system
consisting of at least five or six components, all of which are
necessary for vision. Numerous other examples could be given of such
Category 4 innovations. If we consider only random mutations and natural
selection, we should not expect such miracles of innovation to be
repeated on any other planets in our galaxy. Natural selection
(which creates a “classic sweep” causing the proliferation of a
useful trait) makes Category 3 innovations more likely, but does
nothing to make Category 4 innovations anything other than
fantastically improbable.
I
call this type of difficulty “the scattering problem.” It is the
problem that when we consider how the mutations needed for a complex
innovation would (if they occurred) be scattered across the
individuals of a population existing over multiple generations, it is
exceptionally unlikely that all of the required mutations would ever
end up in a single individual. This “scattering problem” rears
its ugly head in every type of Category 4 innovation, in which the
complex components needed for an innovation are not individually
useful (meaning no “classic sweep” can occur until all of the
components have appeared in a particular organism).
I
can illustrate this scattering problem through an analogy. Let's
imagine you're some “ahead of his time” genius who invented the
first home computer in 1960. Suppose that this consisted of 7 key
parts: a motherboard, a CPU, a memory unit, a keyboard, a monitor, a
disk drive, and an operating system disk. If you were to mail one of
these parts on 7 different days, sending a different part each day to
the same person, there might be a reasonable chance that the person
might put them all together to make a home computer. But imagine you
did something very different. Imagine you mailed each part in a
different year, sending out the parts gradually between 1960 and
1965. Imagine also that each part was mailed to a person you selected
through some random process (such as picking a random street and a
random time, and asking the name and address of the first person you
saw walking down that street) – a process that might give you any
of a million people in the city you lived. What would be the chance
that the parts you had mailed through such a process would ever be
assembled into a single computer? Less than one chance in
1,000,000,000,000,000,000,000,000. The actual likelihood in this
example is about 1 in a million to the seventh power, or 1 in 1042.
It
is comparable odds that a Darwinian process of random mutations and
natural selection would constantly be facing in regard to complex
biological innovations of the Category 4 type. If it luckily happened
that there somehow occurred in a gene pool all of the random
mutations needed for some biological innovation, such gifts would be
scattered so randomly across the population and across some vast
length of time that there would be less than 1 chance in
1,000,000,000,000,000,000 that they would ever come together in a
single organism, allowing the biological innovation to occur for
the first time.
The
previous analogy involving computer parts serves well as a rough
analogy of the scattering problem. To make a more exact analogy, we
would have to imagine some parts distribution organization that
persisted for many generations. Such an organization might send out
one part of a complex machine in one generation, to a randomly chosen
person in a city, and then several generations later send out another
part of the machine to some other randomly chosen person in the city
(who would be very unlikely to be related to the previous person);
and then several generations later send out another part of the
machine to some other randomly chosen person in the city; and then
several generations later send out another part of the machine to
some other randomly chosen person in the city. The overall
likelihood of the parts ever becoming assembled into a machine with
all the required parts would be some incredibly tiny, microscopic
probability. This more exact analogy better simulates the scenario
in which favorable mutations supposedly accumulated over multiple
generations.
Is
there any way to reduce the scattering problem when considering the
odds of complex biological innovations occurring by Darwinian
evolution? You might try to do that by assuming a smaller population
size. However, assuming a smaller population size is very much a
case of “robbing Peter to pay Paul.” The reason is this: the
smaller the population size, the smaller the chance that some
particular favorable random mutation will occur in a gene pool
corresponding to that population (just as the smaller the number of lottery ticket buyers in a lottery pool, the lower the chance of any one of them winning a multi-million dollar prize). So any reduction in the assumed
population size should involve a corresponding reduction in the
average chance of one of the favorable mutations occurring. The
result will be that the incredibly low probability of the biological
innovation will not be increased.
In
the calculations above, I don't even consider an additional aspect of
the scattering problem: that the mutations needed for some innovation
would be scattered not just over some vast length of time and not
just over an entire population but also scattered in random positions
of an organism (so, for example, some component needed for an eye
would be far more likely to occur uselessly in some other spot such
as a foot or an elbow). This consideration just shrinks the
likelihood of accidental complex innovations by many additional
orders of magnitude, making it billions or trillions of times
smaller.
The
previous calculations involved the probability of only one organism
in a population ending up with some biological innovation. The
probability of such a biological innovation becoming common
throughout the population (so that most organisms in the population
have the innovation) is many times smaller. Evolution experts say
that a particular mutation will need to occur many times before it becomes "fixated" in a population, so that all organisms in the population have the mutation. I did not even factor
in such a consideration in making the calculations above. When such a
consideration is added to the calculation, we would end up with some
probability many, many times smaller than the microscopic probability
already calculated. Instead of a probability such as 1 in 1032
we might have a probability such as 1 in 1050
or 1 in 10100.
Probability
1: Probability that the gene pool of some particular species
will ever experience (possibly scattered in different generations
and organisms) each of the random mutations needed for a complex
“Category 4” biological innovation, in which there is no
benefit until multiple required components exist arranged in a way
providing functional coherence |
Some
particular probability |
Probability
2: Probability that all of these mutations will exist in the
gene pool during one particular generation (possibly scattered
among different organisms) |
Some
probability only a tiny fraction of Probability 1 |
Probability
3: Probability that all of these mutations will ever end up in
one particular organism, allowing the biological innovation to
occur
|
Some
probability only a microscopic fraction of Probability 1-- perhaps
a million trillion quadrillion times smaller. |
Probability
4: Probability that all of these mutations will ever end up in
most of the organisms in the population |
Some
probability many times smaller than Probability 3, and perhaps
billions of times smaller. |
There
is clearly a very strong basis for suspecting that something other
than mere chance and natural selection was involved in all the
biological innovation that occurred on Earth. Contrary to the naive
claims of the authors of The Cosmic Zoo, if we use nothing but
the explanations of orthodox Darwinists, we are left with bleak
prospects for the existence of humanoid beings elsewhere in our
galaxy. A more hopeful attitude would be appropriate only for someone
willing to consider metaphysical and teleological considerations that
might change the prospects dramatically. It would seem to make no
sense for a SETI spokesman to be optimistic, unless he believes in
cosmic teleology -- or unless he can specify some way in which non-humanoid extraterrestrials with a radically alien biology might appear without any of the ever-so-improbable Category 4 biological innovations occurring.
But
an orthodox Darwinist will continue to argue along the lines of
“Innovations that occurred multiple times must have had a high
chance of occurring randomly.” Below is a dialog that illustrates
the fallacy in this type of reasoning. Let us imagine a conversation
between a mother and a father, with a 3-year-old son.
Mother:
That son of ours is learning a few things. I notice that he knows
the channel of his favorite TV show, because I see him repeatedly
pressing three buttons on the remote, and getting his favorite
channel on the first try.
Father:
No, that must be just chance. He's probably just
randomly pressing number buttons on the remote. He probably
accidentally gets the right channel often because there aren't that
many channels.
Mother:
Are you kidding me? I must have seen our son fifty different times
press three numbers on the remote, and get his favorite channel on
the first try. That proves it isn't just chance.
Father:
Not at all. If our son got the right channel fifty different times,
that just proves what I said – that there must be few TV channels,
and that there's pretty good odds of him getting the right channel
accidentally. Otherwise, he wouldn't have accidentally got his
channel so quickly so many times.
The
father's reasoning here is very much in error. Each additional time
that the son presses three numbers on the remote and gets his
favorite TV channel on the first try is actually an additional item
of evidence arguing against the claim that blind chance is involved.
If there are ten such cases, it argues strongly against the
accidental success theory, and if there are fifty such cases, it
argues much more strongly against the accidental success theory. The
father has simply taken evidence against his theory, and tried to
convert it into evidence for his theory. His statement that
“otherwise, he wouldn't have accidentally got his channel so
quickly so many times” commits the fallacy of overlooking the
possibility that something other than chance is involved, and
assuming the truth of what the father is attempting to prove (an
example of what is called circular reasoning).
Similarly,
each additional occurrence of a vastly improbable biological
innovation is not evidence that such innovations have accidentally
occurred but are instead additional reasons for doubting the theory
that such innovations are mere accidents. Similarly, if you are
playing poker with a card dealer who very frequently deals himself a
royal flush in spades, this doesn't show that it's easy to get by
chance a royal flush in spades; it's simply a reason for suspecting
that something more than chance is involved.