Dear Koshy
If we kill all mathematicians and burn all handbooks then what will remain after? I can tell you that there will remains the quantity conservation laws only that we can find again experimentally (1=1 =/ 0). However, somebody can build the same math apparatus again by using this mentioned single principle only. The evidence of this can serve binary calculus system where every kind of possible calculus transformed to sum of nulls and units. This shows the smallest (technical only) role of math apparatus in the scientific research and its unnecessary elevation to mystically significance. For you It will very difficult be agree with this, - but you try do it for yourself!