Why do logical truths exist at all, and how can our belief in them be justified? In an earlier article (‘What on Earth is Logic?', THINK 45) we contended that at least some aspects of logic must always be assumed, without argument, and that ‘logic is a horizon beyond which none of our earnest and self-reflecting arguments can help us see’. We also contended that logical truths are independent of physical facts, of social rules, and of the anatomical features of our brains. Nevertheless, in a further article in this volume, Jeremiah Joven Joaquin and Jose Emmanuel Agregado have challenged our view. We respond to their criticisms.