[vineyardmike]

> not me to find it for them by declaring that they will be exceptional

I don't think providing them stimulus and opportunity is you finding it for them. Giving your child access to interesting people across various fields ensures they can learn about various intellectual pursuits. Treating them as a person with real ideas to consider ensures that they'll have the confidence to engage in the real-world as a peer. Giving them freedom and "down time" to explore their own ideas actually give them the time to find their own path.

Think of it as a vector, you can let them pick the direction, but you can ensure that they go far in that direction. They don't have to be a world-class mathematician, even being a well-respected local teacher is exceptional.