There wouldn't be, because you got the knowledge even the number system through muslims.
The decimal positional system, which al-Khwarizmi popularized was actually Indian in origin and was in use almost 200 years before his time. This isn't meant to take away from any of his other contributions in the field of mathematics, which were interesting and important. Only to point out that the particular number system is irrelevant and unimportant. Summerians, for example, centuries before Islam first showed up on earth, quite happily used sexagesimal numbering systems and the fundamental mathematics remain the same whether you use base 1 or base 2, 10 or 174 and whether you represent the number three with the glyph 3, ༜ or |||.
Can we state with certainly that the Rennaisance could not have happened without Muslims? No, we can't. It would certainly have been different, but we don't know how. You can speculate and make guesses, but your guesses and speculation are... well... guesses and speculation and mean little in this context.
You had nothing, you didn't even know how to wash yourself.
You keep upping the ante with more and more ridiculous assertions. You realize that ruins in Crete and Olynthus, built and destroyed centuries before Muhammad came along and dreamed up of Islam, had indoor plumbing such as flushing toilets, tiled bathrooms, self-draining tubs and hot-water delivery systems, right? You realize that Rome was notorious for its hot water baths, right?
