Chapter 1. Short autobiography (Vadim A. Yankov), Part I: Non-classical logics.- Chapter 2. V. Yankov's contributions to propositional Logic (Alex Citkin).- Chapter 3. Dialogues and proofs; Yankov's contribution to proof theory (Andrzej Indrzejczak).- Chapter 4. Jankov formulas and axiomatization techniques for intermediate logics (Guram Bezhanishvili, Nick Bezhanishvili).- Chapter 5. Yankov Characteristic formulas (an algebraic account) (Alex Citkin).- Chapter 6. The invariance modality (Silvio Ghilardi).- Chapter 7. The Lattice NExtS41 as composed of replicas of NExtInt, and beyond (Alexei Muravitsky).- Chapter 8. An Application of the Yankov characteristic formulas (Valery Plisko).- Chapter 9. A note on disjunction and existence properties in predicate extensions of intuitionistic logic - An application of Jankov formulas to predicate logics (Nobu-Yuki Suzuki).- Part II: History and philosophy of mathematics.- Chapter 10. On V.A. Yankov's contribution to the history of foundations of mathematics (Ioannis M. Vandoulakis).- Chapter 11. On V.A. Yankov's existential interpretation of the early Greek philosophy. The case of Heraclitus (Tatiana Yu. Denisova).- Chapter 12. On V.A. Yankov's hypothesis of the rise of Greek mathematics (Ioannis M. Vandoulakis).