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What is the difference between determinism and predictable. I have heard classical mechanics is both predictable and deterministic, chaos theory is deterministic but unpredictable , quantum mechanics is indeterministic and unpredictable. And how determinism is related to free will ?

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Final answer:

Determinism and predictability are related concepts in physics. Classical mechanics, which describes the behavior of macroscopic objects, is both deterministic and predictable.

Step-by-step explanation:

In classical mechanics, determinism means that if you know the initial conditions of a system and the forces acting on it, you can predict its future behavior with complete certainty. Predictability, on the other hand, refers to the ability to make accurate forecasts or predictions about the future based on available information.

Classical mechanics is considered both deterministic and predictable because it follows the laws of motion and can accurately predict the behavior of macroscopic objects.

Chaos theory, although deterministic, is unpredictable because it involves complex, nonlinear systems that exhibit sensitive dependence on initial conditions. Tiny changes in the starting conditions can lead to drastically different outcomes, making long-term predictions impossible.

Quantum mechanics, on the other hand, is indeterministic and unpredictable. It introduces the concept of uncertainty and probabilistic behavior at the microscopic level, where the behavior of particles cannot be precisely determined.

When it comes to determinism's relationship with free will, there is a philosophical debate. Some argue that if determinism is true, then free will is an illusion, as our actions are predetermined by the causal chain of events. Others propose compatibilism, which suggests that free will and determinism can coexist, allowing for the idea that even though our actions are determined, we can still have a sense of agency and make choices within certain constraints.

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