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V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics
Hardcover
Series: Outstanding Contributions to Logic, Book 24
FictionGeneral MathematicsLogic
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ISBN10: 3031068424
ISBN13: 9783031068423
Publisher: Springer Nature
Published: Nov 9 2022
Pages: 313
Weight: 1.40
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9783031068423
Publisher: Springer Nature
Published: Nov 9 2022
Pages: 313
Weight: 1.40
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
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).
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