I don&#x27;t consider this an example of discovering multiplication.  The set theory rules were given to the computer.  Can a computer be built to start only with sensory input and then discover the rules of set theory?  Would it ever be able recognize why the patterns and rules for operating with sets are important and worth further study?  I&#x27;m skeptical.<p>Would a program flag the discovery of multiplication as important because it understood that this discovery is interesting or would it flag its discovery as important because the programmer encoded it to have this understanding?  That is can a program discover something new and alert to humans to this discovery and for it to be truly interesting and new?