We don't have infinite memory, but we have the capacity to create all the memory we need as we need it, all we need to do is create it. Being infinity programable goes back to what David was saying. Claiming that there are things we can't program, which is a subset of understanding something, is similar to claiming that some part of reality is not explicable.
Also, some of our knowledge does have infinite reach, and therefore we also have infinite reach. Take general relativity, it applies for all physical reality (as I was typing I realize that we don't know if the universe is infinite or not) but our knowledge of infinity itself is infinite.
We don't have infinite memory, but we have the capacity to create all the memory we need as we need it, all we need to do is create it. Being infinity programable goes back to what David was saying. Claiming that there are things we can't program, which is a subset of understanding something, is similar to claiming that some part of reality is not explicable.
Also, some of our knowledge does have infinite reach, and therefore we also have infinite reach. Take general relativity, it applies for all physical reality (as I was typing I realize that we don't know if the universe is infinite or not) but our knowledge of infinity itself is infinite.