This was the statement I was responding to, it is stating that because it's built on simple mathematics it _cannot_ reason.
Yes we don't have a complete mathematical model of human intelligence, but the idea that because it's built on mathematics that we have modelled, that it cannot reason is nonsensical, unless you subscribe to a non-materialist view.
In a way, he is saying (not really but close) that if we did model human intelligence with complete fidelity, it would no longer be intelligence.