Every computer programmer is aware or should be aware of the concept of a combinatorial explosion. The term refers to a situation where the number of possibilities rises exponentially, resulting in so many possibilities that it is impossible to test them all. For a computer programmer, the problem with a combinatorial explosion is that it results in so many possibilities that you cannot test them all before releasing your software.
For example, imagine a screen like the one below. There are two checkboxes, and a single radio button, which can have one of three possible values. The total number of possible states the form can be in before it is submitted is a mere 12 states. So it is easy to make a comprehensive test of whether the form works under all possible conditions. A programmer can simply test all 12 of the states.
But consider the web page below. It has very many inputs, including lots of dropdown controls, each of which allow the selection of many possible options. There is now a combinatorial explosion. There are so many possible ways the form can be configured before pressing the Submit button that no software developer can test all of them. By merely multiplying by about ten the number of inputs on the form, the number of possible configurations has increased exponentially, rising to trillions or more.
The same idea is relevant to a chemist. Let's imagine a chemist is trying to determine the safety of various combinations of chemicals. Imagine that the combinations consist of three different chemicals from a larger set of chemicals. If the set of chemicals consists of only 20 chemicals, the number of possible combinations isn't very large. It is 1140. We can calculate that using the web page below (you can do a Google search for "combinations calculator" to find similar sites).
Scientists have never been able to make a living thing under conditions simulating the early earth, and scientists have not been able to even make any of the building components of a living thing under experimental conditions realistically simulating the early earth. The building components of visible organisms are cells, and the building components of a microorganism are proteins. Scientists have not been able to produce from scratch proteins or cells in experiments simulating the early earth. In fact, scientists haven't even been able to make appreciable amounts of any of the 20 building components (amino acids) of the building components of microorganisms under conditions realistically simulating the early earth.
To imagine the simplest living thing, we cannot imagine something like a virus. Viruses require living cells to reproduce, and biologists tell us that viruses did not exist until after living self-reproducing cells existed. Nor can we imagine some mere self-reproducing molecule existing as a living thing before a cell exists. No such living self-reproducing molecule has ever been observed outside of the framework of cells, so the concept of such a thing is pure fantasy. Since it is a basic fact of biology that cells are the basis of all living things, we must imagine some kind of cell as the simplest living thing.
A team of 9 scientists wrote a scientific paper entitled, “Essential genes of a minimal bacterium.” It analyzed a type of bacteria (Mycoplasma genitalium) that has “the smallest genome of any organism that can be grown in pure culture.” According to wikipedia's article, this bacteria has 525 genes consisting of 580,070 base pairs. The paper concluded that 382 of this bacteria's protein-coding genes (72 percent) are essential. So multiplying that 580,070 by 72 percent, we get a figure of about 418,000 base pairs in the genome that are essential functionality. This is all information that must be arranged in just the right way for the tiny microbe to be capable of self-reproduction.
What is the chance that such a thing could ever arise from a chance combination of chemicals? Such a probability is essentially zero. We have here an improbability explosion so big it can be called galaxy-sized.
We do not get out of this jam by imagining that instead of having an inconceivably improbable arrangement of low-level chemicals, there might have been merely a combination of various functional proteins that happened to be floating about. The functional proteins would not have existed prior to the origin of the first living thing. Before it folds into a three-dimensional shape, a protein typically consists of a sequence of hundreds of amino acids arranged in just the right way to achieve a functional end. If the existing genetic code is used, there are 20 possible amino acids that may be used in any position of this sequence. The average protein consists of about 375 amino acids arranged in just the right way to achieve a functional effect. Even assuming that merely half of such amino acids have to match the existing sequence of amino acids for the same protein functionality to be achieved, the probability of a protein appearing with similar functionality (based on chance combinations of amino acids) is therefore something like 1 in 20 to the 187th power, which is equal to about 1 in 10 to the 243rd power, or 1 in 10243. That probability is essentially zero.
You could summarize this situation by saying that the origin of each new protein molecule would require its own improbability explosion like the other improbability explosions I have discussed. The origin of a self-reproducing cell from chemicals (requiring at least 300 different types of protein molecules) would require an improbability super-explosion consisting of at least 300 individual improbability explosions, each fantastically unlikely to occur.
Calculations such as these actually vastly underestimate how big an improbability explosion would be required, because they assume an existing genetic code that limits the number of possible amino acids in a protein to only twenty. But as a recent scientific article states, "There are millions of possible types of amino acids that could be found on Earth or elsewhere in the universe, each with its own distinctive chemical properties....there are 1048 ways of making sets of 20 amino acids."
What this means is that we vastly overestimate the likelihood of the first living thing appearing by chance if we imagine an analogy such as a typing monkey producing the book of 450,000 characters by randomly striking keys on a keyboard. For a monkey at such a keyboard would always have his keystrokes restricted so that there would be something like a 1/30 chance of typing a valid character. Given all the possibilities for the genetic code (with 1048 ways of making sets of 20 amino acids), a much better analogy is to imagine a monkey equipped with a pen and a 250-page book of blank empty pages. In this analogy, the monkey can make any type of mark, which may or may not be a valid character. Similarly, chemicals randomly forming into amino acids (or base pairs representing amino acids) could make a vast number of combinations, with only the tiniest fraction corresponding to the twenty amino acids used in earthly proteins.
The overall probability of a self-reproducing cell being accidentally produced would be incomparably smaller than the probability of a monkey at a keyboard producing a 250-page technical book all filled with relevant and coherent technical instructions. It would instead be more like the probability of a monkey equipped with a pen handwriting such a book, and producing the coherent 250-page technical book of useful instructions by making random scribbles on the blank pages.
How often would we expect such a result to be achieved by chance? Never in the history of the universe, even if there are 100 billion galaxies each containing billions of planets, and even if there were 13 billion years for such chance combinations. And similarly, if there were 100 billion galaxies each filled with 100 billion planets, and they were all populated with countless billions of monkeys scribbling on blank pages, we would not expect that any such monkey would ever produce even one full page with hundreds of words giving coherent technical instructions on how to do anything, even if there were 13 billion years for monkeys to engage in such scribbling. I haven't even discussed the issue of homochirality, an entirely separate requirement for abiogenesis, one that worsens the chance of it by very many additional orders of magnitude, probably making such a thing even trillions of quadrillions of quintillions of times less likely.
And so abiogenesis (the imagined accidental origin of biological life from lifeless chemicals) must be described not merely as an improbability explosion, but the mother of all improbability explosions.
In general, Darwinist professors ignore the mountainous improbability of parts fitting together to make complex innovations. Our Darwinist experts typically speak as if having the parts for something is about as good as having that thing, ignoring the reality that the more complex something is, the more improbable that parts would accidentally fit together to make that thing, even if all the parts were present. How often have we heard SETI enthusiasts speaking as if having "the building blocks of life" in space (by which they mean mere amino acids) was almost as good as having a living thing (which requires a fantastically improbable special arrangement of such building components utterly beyond the reach of chance)?
Roughly speaking, we can say that the improbability of a complex innovation appearing accidentally usually rises exponentially and geometrically as the number of parts needed for that innovation undergoes a simple linear increase, in most cases when a special arrangement of the parts is required. Similarly, the improbability of you throwing a handful of cards into the air and having them all form into a house of cards will rise exponentially and geometrically as the number of cards in your hand undergoes a simple linear increase. Getting a two-card house of cards by accident isn't too hard, by having two cards lean together diagonally. But if all the humans in the world spent their whole lives throwing a deck of cards into the air, none of these random throws would ever produce a triangular 26-card three-level house of cards by accident.
"On the physical level, biological creatures are so much more complex in a functional way than current artifacts of our technology that there's almost no comparison. The most elaborate and sophisticated human-designed machines, while quite impressive, are utter child's play compared with the workings of a cell: a cell contains on the order of 100 trillion atoms, and probably billions of quite complex molecules working with amazing precision. The most complex engineered machines -- modern jet aircraft, for example -- have several million parts. Thus, perhaps all the jetliners in the world (without people in them, of course) could compete in functional complexity with a lowly bacterium."

















