Why can mathematics and physics simulate natural phenomena so closely in thought experiments, calculations and computer programs?
In: 163
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
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