Some literal Creationists claim that there's a dichotomy between believing that everything, on the level of complexity we observe, came about miraculously, and believing "it all came about by chance."
From a summary of "Truth That Transforms: A Rational Defense," a Creationist video from the late D. James Kennedy's Coral Ridge Ministries: "Chaos could not have given birth to the tremendous order in our world."
"Order cannot come from chaos." This is not an uncommon thing to hear from Creationist organizations. But what are they referring to, specifically, when they talk about observing "order"? Are they referring to the productions of man (pottery, music, architecture), as if they must have been divinely granted rather than naturally innovated? Or are they referring to the current living genera, as if they could not have evolved? Or are they referring to living things entirely, as if they could not have emerged from protocellular constructs? Or are they referring to molecular constructs themselves, as if their tendency to order themselves in certain configurations could not have natural impetuses?
They are, in fact, referring to all four, which makes it tough if you're a Christian who believes in the natural innovation of music and art but not evolution or abiogensis, or a Christian who believes in the evolution of existent genera but not in unassisted abiogenesis, or a Christian who believes in both evolution and abiogenesis but that God wrote the fundamental "rules." How would such Christians respond to the charge that you must decide between "created by God" and "created by chance" across the board? I bet they'd have a problem picking either one!
The following is a detailed analogy to explain to across-the-board Creationists how apparent order can emerge from chaos.
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Larry programmed a deterministic particle simulation. Here's a screen shot:

There are many simulated particles in this box. Each particle moves only left or right, and bounces back on its path whenever it hits a wall. The contents of the box are chaotic (chaos is the apparent randomness in deterministic systems once they become complex enough). It would be pretty hard to keep a mental handle on the entire contents of the box at every moment, especially if the particles were moving extremely quickly.
Every so often, a particle reproduces. It spawns another particle directly above or below itself. Things are getting more and more chaotic!
Now, let's say there's a hole in the wall. That wall becomes a selective filter. It allows out only particles that are near the same latitude:

The particles that escape create a line of particles. Speed the particles up and zoom out a bit, and the particles apparently constitute a straight line! Voila, order from chaos!
"But we only got order because we punched a hole in the wall, creating a selector! Isn't that cheating?"
Well, the wall is actually made of particles as well, and something in their behavior causes them to open up holes in their structure from time to time.
"Okay, you've demonstrated order from chaos on this layer of observation. But that only works because the particles themselves, the bouncing particles and the wall particles, were hardcoded by Larry to do what they do."
Actually, these particles weren't hardcoded by Larry to do what they do! Here's what one of the bouncing particles looks like when we zoom in:

Let's call it a "tier 1 particle." It's a complex maze of reactions between even tinier particles... "tier 2 particles," one might say. A tier 1 particle is a machine made from a network of tier 2 particles chaotically interacting and selecting themselves until they arrive at some kind of orderly equilibrium.
Let's zoom in and take a look at these tier 2 particles:



"Okay, so tier 1 particles weren't hardcoded. They're the result of chaotic undercurrents. But certainly the tier 2 particles, which produce those chaotic undercurrents, are hardcoded by Larry."
Nope! A tier 2 particle is made of tier 3 particles, chaotically interacting and selecting themselves until they arrive at some kind of orderly equilibrium.



And does it stop there? Did Larry hardcode the tier 3 particle? Nope. The tier 3 particle is also the orderly result of chaotic processes.
"My mind is being blown asunder! How far does it go?"
After this point, the system won't let us zoom in any further. We can only guess that, at some mysterious point, maybe at tier 4 or 5 or 1001, Larry hardcoded some sort of "rules."
We haven't yet discovered where that point is, of course; we haven't yet found the foundational gap that requires Larry's attention to fill.
Now, remember the orange room mentioned at the beginning? That room, and the line of particles it shoots out, is a subcomponent of a relatively massive tier 0 particle.

Now what if someone came along and told you that Larry hardcoded the tier 0 particle? And that any other explanation for the tier 0 particle is impossible, because "order doesn't come from chaos?"
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The fact eluding the Creationists who make this argument is that order does come from chaos, because the only difference between order and chaos is the perceptual confusion of the observer. If the observer is bewildered, it's called "chaos," and if the observer makes sense of it, it's called "order." Both order and chaos are "orderly" in the sense that they both are governed by a single deterministic system.
The more proper claim is that "order/chaos cannot emerge from completely acausal systems," which does not apply to things like evolution by natural selection, the formation of protocellular machines, etc., because those systems are causal.