Yesterday I had lunch with a former Ph.D student of mine, who is now highly successful and tenured at a very good school. I was reminded that, over twenty years ago, I was Graduate Director of Admissions. One of my favorite strategies was to take strong candidates who applied for Masters and also offer them Ph.D admissions, suggesting they might to do the latter. My lunch partner was a beneficiary of this de facto policy.
At least two of our very best students went down this route. Ex ante, neither realized that it was common simply to apply straight to a Ph.D program, skipping over the Masters. I believe this is now better known, but the point is this.
At critical moments in time, you can raise the aspirations of other people significantly, especially when they are relatively young, simply by suggesting they do something better or more ambitious than what they might have in mind. It costs you relatively little to do this, but the benefit to them, and to the broader world, may be enormous.
This is in fact one of the most valuable things you can do with your time and with your life.