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<blockquote data-quote="Kairos" data-source="post: 173566" data-attributes="member: 10263"><p>You aren't describing a flaw in mathematics, but a deviation between a mathematical model and the reality it seeks to model. We have to simplify everything in a mathematical model, and we merely seek to model a specific phenomenon with accuracy within some define parameters. For instance, the equation for gravity in Newtonian mechanics works like a charm for pretty much everything we do here on Earth, but it breaks down at high accelerations and high gravitation due to the fact that the simplicity of the model ignores the curviture of spacetime and relativity. The math didn't fail. The model just doesn't work under those circumstances.</p><p></p><p>The process of science involves creating models that make falsifiable predictions. Those predictions become hypothesis in experiments. We test them over and over. Where the model's predictions fail, we seek to alter the model or come up with something new (i.e. classical mechanics replaced with general and special relativity).</p><p></p><p>For math to fail, you are talking about some situation where 2+2=5.</p></blockquote><p></p>
[QUOTE="Kairos, post: 173566, member: 10263"] You aren't describing a flaw in mathematics, but a deviation between a mathematical model and the reality it seeks to model. We have to simplify everything in a mathematical model, and we merely seek to model a specific phenomenon with accuracy within some define parameters. For instance, the equation for gravity in Newtonian mechanics works like a charm for pretty much everything we do here on Earth, but it breaks down at high accelerations and high gravitation due to the fact that the simplicity of the model ignores the curviture of spacetime and relativity. The math didn't fail. The model just doesn't work under those circumstances. The process of science involves creating models that make falsifiable predictions. Those predictions become hypothesis in experiments. We test them over and over. Where the model's predictions fail, we seek to alter the model or come up with something new (i.e. classical mechanics replaced with general and special relativity). For math to fail, you are talking about some situation where 2+2=5. [/QUOTE]
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