证明
The proof of a system's value is its existence.
We are on the verge: Today our program proved Fermat's next-to-last theorem.
Often it is the means that justify the ends: Goals advance technique and technique survives even when goal structures crumble.
When we write programs that "learn", it turns out that we do and they don't.
The use of a program to prove the 4-color theorem will not change mathematics - it merely demonstrates that the theorem, a challenge for a century, is probably not important to mathematics.