Submitted by **BernardJOrtcutt** t3_zd7hlq
in **philosophy**

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**Masimat**
t1_iz4yi67 wrote

Is it possible to predict the future of any deterministic system with math formulas?

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**LonelyMandom**
t1_iz7dod5 wrote

Deterministic systems are mathematical models, so by definition yes.

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**EyeSprout**
t1_izulm25 wrote

Only if you know the initial state of the system and can describe the evolution of the system.

Deterministic systems are systems where any "future state" is a fixed function of the "initial state". If the observer knows both of these things, then it's predictable by definition. That doesn't mean that an observer actually *knows* the initial state or what the fixed function is. Things can get a little complicated if the system includes the observer itself.

There is a question of is it even possible to know or approximate what the initial state of a system is? It's possible to have a system where there's a limit to how much information you can get about the initial state.

(There's nothing special about the "math" part, "math" is really just any language that describes something precisely.)

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