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DeepMath is an impressive system. But there's still a long path ahead for ML-powered mathematics...
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Mathematics lacks empirical grounding. The metaphysics of mathematics is divorced from reality by a fat ass called Thomas Aquinas.
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Except with an extreme word sense disambiguation problem. http://bit.ly/2ck4JK2
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It gets even harder when math symbols (-constants) don't carry semantic value. Like predicting programs by variable names.
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deep learning will turn machines against us.
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my argument isn't that it should be more formalized. I just don't think math will be terribly learnable.
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try training a model to learn to predict kth element in OEIS data and you'll find it doesn't work well.
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yes, but as sample complexity increases, you begin overfitting. Memorizing vs. Learning.
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That's not the argument either.
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