Comment by saosebastiao

The most prominent programming languages designed specifically for mathematical purposes (Mathematica, MatLab, Julia, R, Fortran), all have 1-based indexing. That should be a sign to you that 1-based indexing has a legitimate mathematical rationale. Djikstra wasn't speaking on behalf of the mathematics community. The idea that if you have deep faith in mathematical beauty that you'll come to the same conclusion is absurd.