One of the great discoveries of the twentieth century is that mathematics can describe the limits of mathematical thought! We’ll discuss some of these ideas from time to time in coming weeks. In this segment, we consider Alan Turing’s insightful question:
Can the answer to any mathematical question be computed?
We’ve also prepared a more comprehensive, much more subtle discussion here.
Of course we misspoke in the podcast when we said that Goldbach conjectured that every even number is the sum of two primes &emdash; 2 itself is not!