Entirely false. It is Rome that absorbed Greece civilization.
You need to study history instead of showing your hate for Christianity.
Http://en.m.wikipedia.org/wiki/Greece_in_the_Roman_era
Greek inventions could have been replicated in any other part of the world not subject to the middle ages and also having access to greek archives and knowledge (Middle East)
My argument from good old Civ5: some invention require a network of other advancements to take hold, otherwise they are not good alternative to existing technology and the constraints it imposes (as in, what good would a modern computer have been in ancient Greece in measurement errors made the fine precision of the advanced calculations exihibit more variance than simpler method using rough estimations?)