you don't get it. Bach and Shakespeare and Newton and Gauss were just 4 people. Hitler, Stalin, Pol Pot were just leaders of millions. These millions were expressing and implementing abstract ideas who should be killed by doing actual killing. So, lets put it in easy way for you to understand - the top manifestations (number of people involved, total effort they put into it, including the ability for abstract thinking) are Inquisition, WWI, WWII, Khmer Rouge, ...
>And yet today the world -- especially the industrialized, wealthy parts of the world, which have benefited most from a sustained application of that ability for abstract thought -- is less violent and longer-lived than ever before.
this would sound so true right before WWI, and before WWII as well...