It involves approximating numbers with fractions:
The duo’s solution came as a surprise to many in the field. “The general feeling was that this was not close to being solved,” says Aistleitner. “The technique of using [graphs] is something that maybe in the future will be regarded as just as important [as]—maybe more important than—the actual Duffin-Schaeffer conjecture,” says Jeffrey Vaaler, a retired professor at the University of Texas, Austin, who proved a special case of the conjecture in 1978.
It may take other experts several months to understand the full details. “The proof now is a long and complicated proof,” says Aistleitner. “It’s not sufficient just to have one striking, brilliant idea. There are many, many parts that have to be controlled.” At 44 pages of dense, technical mathematics, even leading mathematical minds need time to wrap their heads around the paper. The community, however, seems optimistic. Says Vaaler: “It’s a beautiful paper. I think it’s correct.”Leila Sloman, “New Proof Solves 80-Year-Old Irrational Number Problem” at Scientific American
So math isn’t as cut and dried as some students fear.
See also: Some philosophical questions to keep you awake, if the prospect of partying doesn’t:
Does the size of the universe sweep us toward atheism?
Philosopher: If there is something rather than nothing, questions around God cannot be ignored Waghorn: “Firstly, that on the most plausible demarcation criterion for science, science is constitutionally unable to show theism to be a redundant hypothesis; the debate must take place at the level of metaphysics. ”
Is zero even?
Absolute zero proven mathematically impossible?
Is celeb number pi a “normal” number? Not normal. And things get worse. Surely this oddity is related in some way to the unreasonable effectiveness of mathematics.
Durston and Craig on an infinite temporal past . . .
Physicist David Snoke thinks that Christians should not use the kalaam argument for God’s existence
Must we understand “nothing” to understand physics?
Why is space three dimensions anyway? Why not six? A new theory is offered. They want to test their theory? What a great idea! In an age of wars on falsifiability, that’s a refreshingly new/old idea. Anyway, our universe seems pretty smart and can keep us awake.
Follow UD News at Twitter!