Can Two Different Physical Theories Yield the Same Predictions?

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Robin04
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Is it possible that two physical theories are equivalent in the sense that their predictions are exactly the same but the mathematics they use is different?
 

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Like Newtonian and Lagrangian mechanics?
 
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Vanadium 50 said:
Like Newtonian and Lagrangian mechanics?

Yes, exactly, thank you! Are there any modern examples? Are physicist trying to reconstruct some theories in this way?
 

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