Type checking is a little different, and refers to some safety measures done at compile time that theoretically guard against certain types of errors. Scripting languages don't do them, and don't miss out on much programming correctness as far as I can tell.
Full run time type inference in C++ is about having a container of something -- let's say void pointers that just point to memory locations, and figuring out what sort of thing they're pointing at. Or similarly, you have a base-class pointer and want to figure out which derived version of the object is being pointed at.