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 a finite problem.
Resilience is not a trait that people either have or do not have. It involves behaviors, thoughts, and actions that can be learned and developed in anyone.
When stocks are attractive, you buy them. Sure, they can go lower. I've bought stocks at $12 that went to $2, but then they later went to $30. You just don't know when you can catch the bottom.