Authors’ response: On the Cognitive Origins of Mental Self-evidence

Regardless of what our preferences are regarding the foundations of mathematics (for example Platonism or radical constructivism), the problem remains of understanding why mathematical concepts so often appear selfevident in our cognitive experience. This is the case with the continuum and the discrete. Taking the opportunity offered by the commentators' observations, we consider the formalization presented in the target article from the perspective of this particular problem.