Earlier Zero?

Written in the 7th century, it would not hae too much of an immediate impact. The Roman Empire of Heraclius isn't going to be butterflied into survival unless you are getting really creative. But it could have very interesting consequences down the road fairly soon. Byzantium had the complex trade relations and klnowledge of astronomy that made mathematical concepts like that useful, so they would spread a bit faster than they did OTL. That could translate into better banking and credit management. It probably won't do much for engineering because that takes a host of other technologies for complex maths to be really useful. You could see a renewed interest in numerological theology. And it would mean that Eastern Europe starts out its existence as part of Christendom with a new and improved set of mathematical concepts. You have possibilities that way - social statistics, advanced finance, cartopgraphy and navigation. The problem is, though, that maths is a two-edged sword, intellectually speaking. It is a field where you can make incredible advances with just a genius and a pencil, so once you've invented pencils, further technological progress is optional. It *could* lead to much more accurate Byzantine charts of the known world in the 1100s, compound interest projections and sophisticated taxation schemes based on demographic projection. It need lead to none of these.
 
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