Infinitely Long Trains - Infinity Hotel

In the 18 seventies, cantel proved that not infinities are equal. The infinity of the continuum is much larger than the infinity of the natural numbers. And then dave does an explanation of canter's diagonal argument. I'm going to do a slightly different version he ets. It's kind of the version that youwill see if you just look at ut canter’s diagonalization argument. We've had an infinitely long train turnd up to infinity hotel with an infinite number of people. But they still accommodated inside of the hotel. And the next thought experiments even that.