Children as Philosophers

I have long been trying to decide where the natural philosophy of Children, or perhaps my children, falls.  I am certain they are not strict Nihilists, Rationalists or Empiricists, which I find notable. I do pick up some Descartes from the eldest, but I probably see more Existentialism from them than any other single school of thought. Some Platonic concepts show up too.  For example, children’s ability to use experience with, say, trees to learn to identify other types of trees, and distinguish them from shrubs reminds me strongly of Plato’s World of Forms, or at least a parallel psychological construct.

I am very interested in input on this topic, so please let me know what you think.