My little thinker  is always thinking.  Usually about numbers. 

His latest contemplation has been along these lines.  If one-quarter of infinity is still infinity and twice infinity is still infinity (he arrived at this on his own),  then infinity can't be infinite because it's value never changes.   ('Value' is my word here...I can't remember the exact way he communicated this to me.)    So, if infinity is not forever increasing, then it's not infinite. 

Did I explain that right?  Basically he reasoned that infinite is finite because it's value never changes when it is divided or multiplied.

It's not so much the concept that stops me in my tracks, (although that does amaze me) as the depth of thinking required to get there.

Anyone want to lone me a couple of Physics and Math textbooks to add to my stack of bedside reading?