With that much cooling behind it, you'd think they could go with a faster processor.

I have a 2 and 5 year old and this is true in my experience too. They just want to spend time with you. My two year old boy will sometimes put on my shoes and pretend to be "daddy", he will also imitate other acitivites I do like reading and using the computer. It's how kids learn. However there are plenty of studies that show heavy computer use by kids under the age of 7 can be damaging to development in other areas as the child become reliant on the technology. Think about how well your basic maths would be if you were allowed to use calculators from the age of two. You woulnd't be able to perform basic arithmatic!