If you divide a line into infinitely many segments, the length of those segments approaches 0 Hence the real world being quantized. You can't even hypothetical

If you divide a line into infinitely many segments, the length of those segments approaches 0 Hence the real world being quantized. You can't even hypothetically divide a string into infinite points because there is a smallest distance, below which it really does round to zero, i.e., a singularity.