Computers are here to stay. It is a major challenge for the future to use computers efficiently in combinatorics without losing its special appeal.
Mathematicians tend to prefer a worst-case analysis, a kind of paranoia that is especially understandable if you live in Israel!
In highschool I was very excited that alog(b)=blog(a), and still find it useful today.
There is an explicit way to define what explicit is.
I was interviewed on the Israeli radio for five minutes and I said that more than 2000 years ago, Euclid proved that there are infinitely many primes. Immediately the host interrupted me and asked, 'Are there still infinitely many primes?'