Why can mathematics and physics simulate natural phenomena so closely in thought experiments, calculations and computer programs?
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Because maths and physics literally DESCRIBE nature. That is what they are for. If they don’t describe nature it is wrong/ a breakthrough
Mathematics really is building a logical model based on assumptions that you consider true regardless, called axioms. When your axioms match what you can observe in nature, the logical system that follows is pretty accurate at explaning nature. An exemple of an axiom that we use is that a + b = b + a, and you can indeed place two objects on you left and one on your right or vice et versa and you will still have three objects in total. You could totally build another model with different axioms where a + b =/= b + a, but such a model wouldn’t predict well the natural world.
Edit: Typo
If you have enough data on something you can usually either see trends or make predictions for the future.
They pump these computer programs full of data, tell them exactly how to use the data, and then they just hit run.
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