Suppose I've seen records of some inputs and outputs to a program: 1->2, 5->10, 100->200. In every case I am aware of it was given a number as input, it output the doubled number. I don't have the program's source and or ability to access the computer it's actually running on. I form a hypothesis: if this program received input 10000, it would output 20000. Am I running the program?

In this case: doubling program<->Eliezer, inputs<->comments and threads he is answering, outputs<->his replies.