There is a big literature on the ages at which intellectuals peak in life. The rate of publishing papers peaks about tenure time. Physical sciences peak earlier than social sciences. And per paper, each one has an equal chance to be a person’s best paper, regardless of at what age it was written.
Being a polymath, I’ve posted lots on the topic of polymaths over the years. Seen as a production rather than a consumption strategy, polymathing is mainly looking for and building on connections one finds between distant intellectual areas. And while I haven’t seen data to confirm it, my personal experience suggests a hypothesis: polymaths peak later in life.
Why? Because our key intellectual strategy of looking for connections between areas should work better as we learn more areas. And I feel like I see this in my own life. While my stamina and raw speed or intensity of thought is probably declining with age, knowing more things makes it easier for me to learn the basics of each new area. When I seek concrete examples of things, I have a far larger library to draw on, and I find closer better examples more easily. And when I ponder a puzzle, I can find many more analogies and kinds of explanations to consider. Furthermore, I better know roughly want to expect re what sorts of connections won’t yet have been found, which are how valuable, and what it would take to test them or get folks to listen about them.
Now if there were enough other polymaths out there, none of this would help much, as most all the things I found would already have been found by many others. But in fact the space of intellectual connections to consider is sparsely populated. It is usually easy to find connections that no one else seems to have ever much considered.
Now the fact that polymaths peak later in life might be a bit discouraging news to young polymaths. So yes, they should start out more with the usual non-polymath strategy, and then cautiously explore the possibility of dabbling in more areas.
What about the risk that one will pretend to be a polymath as an excuse to dabble unproductively in many areas? My strategy is to hold myself to the standards of publishing original insights in each new area I allow myself to pursue. If I don’t think I could meet that standard, I’ll give the new area a pass.
"Now the fact that polymaths peak later in life might be a bit discouraging news to young polymaths." Not discouraging at all, it gives me hope. Just when I think I've surpassed the age of making achievements, I read this and find a newfound motivation. Thank you :)
I think it's hard in this area to distinguish whether it's the mastery of the material that takes time or aquiring the social status and ways of speaking that allow one to be taken seriously.
I suspect that the biggest reason for the time to have an effect on multiple areas is overcoming the barriers fields raise against outsiders.