A highly subjective question, based upon dogmatic concepts.
Short answer
A system is a set of interrelated parts. Just by adding one part to any system, a new property WILL ALWAYS correspond ("emerge") (see the theoretical explanation below): no need of the fashionable, metaphysical and subjective concept of "emergence" here. Add ONE atom to a rock pebble, new dimensions appear, or, if you want to use pop language, "emerge". No need of the notion of "complex" in this case: when do "simple" systems become "complex"? When a subject considers it so. "Systemic complexity" depends on mental capacity (not a scientific approach at all!).
Detailed answer
"Emergence" is a subjective assessment (emergence = perceiving a new property, perception being always metaphysical --not physical-- and subjective --not objective--). "Complexity" is another subjective assessment (complexity = difficulty to understand, the same system being complex for some or simple for others). Within this subjectivity, there can be multiple "emergent" phenomena from "complex" systems: e.g. A new flavor WILL ALWAYS emerge after mixing cooking ingredients ("complex system": cake, "emergent property": cake-flavor). Both terms have not a precise meaning, and, from experience (syseng here), complexity and emergence are coined by academics in order to make money.
See my critical answer here.
Many have tried to get science independent of philosophy, which does not work. Science is subject to philosophy, or it becomes useless/inconsistent/false knowledge, even if produced using the scientific method. Such was the case of the "complex systems" discipline, which raised without a philosophical guide, just to provide a set of methods that belong mostly to biology, or just fall into the classical Systems Theory. The terms "complexity" and "emergence" can only be accepted if they are used dogmatically, without critical and philosophical thinking.
An example
For this example, I will use an equation to explain what is an Artificial Intelligence model. And then, I will show a(n "emergent") property of Artificial Intelligence ("complex") system, to show that both are just metaphysical and subjective notions, which are already addressed by traditional science (biology) and the classical systems theory.
If you measure, scientifically (using the scientific method), a behavior that seems linear, like "the resistance of this system seems proportional to the amount of substance X in the cable", you can make a scientific hypothesis like this:
resistance is:
r = 0.29x
(I imagine this is NOT a complex system for you: keep reading, and you will see that it is in fact a complex system).
Now, having such equation, you can predict the resistance of any cable having such substance.
What you've done is an hypothesis of f(x), based on the input and the output:
output = f(input)
(I imagine f() is not an emergent property for you, keep reading, and you will see it is).
But what if a machine could take all those inputs, and all those outputs, and find f(x)
?
Well, that is exactly what artificial intelligence is about: instead of mentally finding a rule that relates inputs and outputs, AI is the machine that can find such rule, based on inputs and outputs.
Problem: having {(x1, r1), (x2, r2), (x3, r3), ... }
find f()
such that r=f(x)
.
In the present example, the AI model is a linear equation, and the "weights" (new AI term here: machine learning implies finding weights to neural units, to find the expected function), the weights are:
(a=0.29, b=0)
That is, plugging such weights in the AI model, allows defining the AI system:
r = ax + b
OK. Now, ChatGPT is exactly the same, although with a way larger equation, with millions of weights, and different operators, not just addition and multiplication (op):
gpt = a[op2]n [op2] b[op3](n-1) [op4]...
Is ChatGPT a "complex system"? Yes, using the best definition of "complex", because literally NOBODY can understand how the weights of the model produce the obtained result: a machine that knows all the answers in the Internet. Is that an "emergent" behavior? Yes, because equations are tools, never intelligent entities like ChatGPT. Many have tried to find the meaning behind the behavior of weight-based models. But our brains cannot handle such complexity: they are just too complex to understand.
This is where the classical General Systems Theory (GST) comes into play: PRECISELY TO SOLVE SUCH PROBLEM. Since around 1900. Memorize this: The GST was created to address complexity.
- "Complexity" is a property of all systems, and the GST has been created precisely to address such issue: what the GST does is providing formal methods for splitting complex problems (like finding millions of WEIGHTS) in multiple simple problems. In simple words, to split an unsolvable problem by finding a set of solvable problems.
Here, we've destroyed the idea of "complexity" in favor of the GST classic methods: the GST adresses "complexity" with solutions based on "simplicity".
- "Emergence" is a common property to all systems. If our system is a point, there's no distance. Add one and boom! A new property EMERGES: distance. Add another and boom-2! Another property emerges: they can define an area.
Here, we've debunked the idea of "emergence". The more subsystems a system has, the more properties DO exist. While the GST provides methods to identify and measure any property, the approach is the opposite: do not adress the properties of the whole, because they are phenomenal (that depend on metaphysical /subjective facts). If you want to address such properties, you don't need of any systems theory (either the GST or the alleged "complex systems theory"). You just need booze to appreciate such phenomena. All systems do emerge new properties just by adding a single member.
If you follow this last idea, add just 1 (one) weight to ChatGPT and boom-n!: a new dimensional property emerges: the one that answers to your question.
But the GST allows addressing the problem: just use its formal methods to divide the problem in simpler parts, until reaching a level which you can understand (and which will be different to my capacity of understanding). The fact that you don't do it, that you have not the time or the resources to do it does not justify calling it "complex" or "emergent". Just use the classic GST.