"How is an error possible in mathematics?"

This quote by Henri Poincare is a reflection on the nature of mathematics and the potential for errors. Mathematics is a field of study that relies on rational thinking and accurate calculations. As such, it is often presumed that mathematics is infallible which errors are difficult. Nevertheless, Poincare's quote suggests that errors can still take place in mathematics, even if they are uncommon. This is because mathematics is a human venture, and humans are susceptible to making mistakes. Even the most cautious and experienced mathematicians can make errors in their computations or thinking. Additionally, mathematics is a complicated field, and it is possible for mathematicians to neglect certain information or make incorrect assumptions. For that reason, Poincare's quote functions as a reminder that mistakes can still take place in mathematics, even if they are unusual.