Why can mathematics and physics simulate natural phenomena so closely in thought experiments, calculations and computer programs?

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Why can mathematics and physics simulate natural phenomena so closely in thought experiments, calculations and computer programs?

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We base them on the assumptions made about what we are modeling so if we’re modeling cellular division we base it off the math of one becoming two and two becoming 4 and so on. It gets more complicated but that’s the gist of it is that we just write the assumptions science is wanting to test in math form and they can extrapolate into models of the physical reality.

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