So, I'm not sure why you believe the paper to be unreliable? The P=NP problem has a certain family resemblance to pseudomathematics: it's fairly easy to understand for someone without much training, it would have a sweeping generality of result if solved, and certain aspects of it are highly counterintuitive. But it's also verging on common knowledge, at least in its broadest outlines. That's my first question, I suppose.
But you also bring up an interesting question about epistemic justification: if you think the paper is suspect, how would you confirm your suspicions on livejournal? That paper's written by Avi Wigderson. A profesor of math. At the Institute for Advanced Study. His CV is nineteen pages long. Who are you going to believe?
I took a class last year taught by Avi on pretty much this stuff. It's pretty respectable.
However, I wouldn't say it's a summary of the things that are happening in mathematics. It's possibly a summary of the things that have been going on in computation theory, and more likely a summary of some really cool stuff that Avi Wigderson finds interesting.
In other words, it's a great summary of some of the things that are happening in mathematics these days.
There's too much of it for me to dig in, I never really know what to pick, and I never really have the time, so I just focus on what I'm doing in my classes, which generally isn't new stuff.
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But you also bring up an interesting question about epistemic justification: if you think the paper is suspect, how would you confirm your suspicions on livejournal? That paper's written by Avi Wigderson. A profesor of math. At the Institute for Advanced Study. His CV is nineteen pages long. Who are you going to believe?
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However, I wouldn't say it's a summary of the things that are happening in mathematics. It's possibly a summary of the things that have been going on in computation theory, and more likely a summary of some really cool stuff that Avi Wigderson finds interesting.
In other words, it's a great summary of some of the things that are happening in mathematics these days.
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so what else is happening?
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There's too much of it for me to dig in, I never really know what to pick, and I never really have the time, so I just focus on what I'm doing in my classes, which generally isn't new stuff.
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