Introduction Philosophy Asking about the Foundations of Logic and Mathematics

In this introduction to the volume Philosophical Approaches to the Foundations of Logic and Mathematics dedicated to Professor Stanisław Krajewski, I argue that it is worth asking about such foundations and putting together logic and mathematics when we conduct such considerations. There are various problems and questions which apply to both of them. But what is more important, putting them together allows us to make new observations, as in the case of the phenomenon of emergence in mathematics described by Stanisław Krajewski. I also show that asking about the foundations is constitutive for logic and mathematics, and essential for philosophy as such; furthermore, it also plays a significant role for the humanities.