First, nice Futurama reference...
Second, in game config file (something like documents/my games/civilization 5/config.ini) there should be something about 'enable logging', I think switching the value from 0 to 1 should get you logs, haven't tested this though, just a thought. What is the problem you are epxeriencing? Is it a mod you are working on? Modbuddy has debugging and error messaging inbuilt into it in the view menu, and displays very clearly what is going wrong if you are indeed working on a mod.
Lastly, it is probably IS a graphics clitch if you are just getting random crashes. It is irrelevant what size map you can handle etc, that is performance, not stability/compatibility. Make sure your drivers are up to date (yawn, doesn't everyone say that?) and try running in either DX9 or 11 (trying both.) If not you can run the debug in game (by going to the config and switching debugenable from 0 to 1) and disabled/enable various things in game to troubleshoot by hitting the ` key (I think it is called tilda.)
Anyway hope that helps