# Math Museum

### From TheTangentSpace

(→Tessellations) |
(→Unsolvable or Unsolved problems) |
||

Line 48: | Line 48: | ||

We could mention a few easy-to-understand problems (like the 3x+1 problem, or the Goldbach conjecture) and a few harder problems, like the Riemann hypothesis. We could also mention things that are impossible to do in math, such as the implications of Godel's incompleteness theorem or solving the quintic. It might be nice to leave the audience with an idea of some problems they can actually think about, but they are known to be still unsolved (of course, give them fair warning!). And to not kill their brains include some warm-up problems so they at least feel better when they can't solve the hard ones. | We could mention a few easy-to-understand problems (like the 3x+1 problem, or the Goldbach conjecture) and a few harder problems, like the Riemann hypothesis. We could also mention things that are impossible to do in math, such as the implications of Godel's incompleteness theorem or solving the quintic. It might be nice to leave the audience with an idea of some problems they can actually think about, but they are known to be still unsolved (of course, give them fair warning!). And to not kill their brains include some warm-up problems so they at least feel better when they can't solve the hard ones. | ||

+ | Plus the connection between Hilbert's 10th problem, renumerable sets (work of Davis, Putnam and Robinson) and Diophantine equations and primes (Matajasevic, Jones, Wada et al). The Busy Beaver Problem. The Word Problem. The connection between some tesselations and decision problems. | ||

== Other possible exhibits == | == Other possible exhibits == |