Maths physics question about numbers.?

All maths and physics and really everything is based on the assumption that our numbering system is correct. For example. Many calculations are worked out assuming that the correct way to number is 123456789 10 etc. And that there are ten tens in one hundred. And ten one hundrers in one thousand. Say the... show more All maths and physics and really everything is based on the assumption that our numbering system is correct. For example. Many calculations are worked out assuming that the correct way to number is 123456789 10 etc. And that there are ten tens in one hundred. And ten one hundrers in one thousand. Say the numbering system is actually supposed to contain other numbers which have not been considered, say there were extra numbers left out, wouldn't this completely void everything in science and maths? What I'm trying to say is that there could be other numbers we don't know about. How do we know there are just ten basic numbers- 123456789 could others exist? If you understand could you maybe try to answer this?