Final answer:
Chaos theory looks at the non-linear and unpredictable behaviors of systems sensitive to initial conditions. It does not show that the order seen in nature is the result of chaos, nor does it prove that all events are random, therefore Option B is correct.
Step-by-step explanation:
Chaos theory primarily B) looks at non-linear and unpredictable behavior of systems. It is a field within mathematics that deals with systems that are extremely sensitive to initial conditions, which makes it seem that these systems are unpredictable or random. However, chaos theory does not prove that all events are random, nor does it necessarily show that the order seen in nature is the result of chaos. Instead, chaos theory helps us understand that what appears to be disorderly may still have an underlying order, governed by rules that can, to some extent, be understood and can lead to predictable patterns in the long term.
Chaotic systems can be simple or complex. Even simple systems can exhibit chaotic behavior if they have the right kind of dynamics. A great example of chaotic behavior is turbulent fluid flow, where conditions like fluid speed, viscosity, and boundary surfaces can vastly affect the flow patterns. The field of chaos has found ways to deal with such unpredictable systems and apply this understanding to a variety of fields, not just mathematics but also in disciplines like physics and biology, where it can, for example, influence how we monitor and treat heart arrhythmias.
Therefore, the correct answer to the question is Option B, which states that chaos theory looks at the non-linear and unpredictable behavior of systems. Any observed order in nature, as per chaos theory, is not an outcome of chaos but rather a result of deterministic processes that are highly sensitive to their initial conditions, leading to behavior that can seem random but is not.