When watching Meade and Murphy's interview, one of the things that stood out to me was that Meade said that the math we use might simply be "outdated," or fulfilled most of its potential, meaning we need entirely new mathematical tools to properly model and understand the systems we are dealing with. What is even more worrying, according to him, is that theoretical mathematicians are not as ahead of experimental science as they used to be in the past. Now, in great part because of Machine Learning, we will get a "result" to some problem without fully understanding the mathematics that goes into creating that result itself. I hope we are smart enough to figure something out, and not get stuck with the same problems forever.
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I also find this very interesting. Mathematics is the foundation for how we model our universe and to hear that the math we use right now might be outdated is alarming. I wonder if these breakthroughs need to be entirely
new foundations or can they just build on previous discoveries? The idea that machine learning will help us discover new ideas is amazing but also if we don’t understand them can they really be used or considered accurate?