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Depends what you define by fresh eyes. You can have fresh people with old ideas, trying constantly the same thing, until an idiot comes along with an exotic expertise and solve your problem.

And it happens everyday to many of us, sometimes we are the old ideas people, having a noob show us how it could be done better and faster, and sometimes we are the ones joining an old group and proposing something new we saw elsewhere to apply to one of their stupidly long-standing problem.

I find her story very relatable and a good reminder we should never dismiss the noobs in scientific, creative or high-profit endeavors: they can always bring something we didn't think of by exploring an area we overlooked. And as an example, you can look at the high-speed, youth-driven electronic innovation craze in Shenzhen, often overlooked, where everyone share everything, everyone and everything is new somehow, and exploration is encouraged (and financially rewarded) more than production of blueprints.



From TFA:

“Whenever a new invariant comes along, we try to test it against the Conway knot,” Greene said. “It’s just this one stubborn example that, it seems, no matter what invariant you come up with, it won’t tell you whether or not the thing is slice.”

The Conway knot “sits at the intersection of the blind spots” of these different tools, Piccirillo said.

One mathematician, Mark Hughes of Brigham Young University, created a neural network that uses knot invariants and other information to make predictions about features such as sliceness. For most knots, the network makes clear predictions. But its guess about whether the Conway knot is smoothly slice? Fifty-fifty.

“Over time it stood out as the knot that we couldn’t handle,” Livingston said.

Not my area, but if the article is to be believed, pretty much every new related technique gets thrown at this knot as a matter of course. That's what I mean by "fresh eyes."




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