Mathematics, Logic, and their Philosophies : Essays in Honour of Mohammad Ardeshir

著者名：Mojtahedi, Mojtaba (EDT)/Rahman, Shahid (EDT)/Zarepour, Mohammad Saleh (EDT)

Springer（2021/02/09発売）

• 言語：ENG
• ISBN：9783030536534
• eISBN：9783030536541

Description

This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy.

Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.

Table of Contents

Chapter 1. Introduction (Mojtaba Mojtahedi, Shahid Rahman, and Mohammad Saleh Zarepour).- Chapter 2. Extension and Interpretability (Albert Visser).- Chapter 3. Residuated Expansions of Lattice-Ordered Structures (Majid Alizadeh and Hiroakira Ono).- Chapter 4. Bounded Distributive Lattices with Two Subordinations (Sergio Celani and Roman Jansana).- Chapter 5. The Termination Condition of Gossip Protocols (Rahim Ramezanian, Rasool Ramezanian, and Hans van Ditmarsch).- Chapter 6. On equivalence (Wim Veldman).- Chapter 7. Unification in basic logic (Mojatba Mojtahedi).- Chapter 8. Binary Modal Companions for Subintuitionistic Logics (Dick de Jongh and Fateme Shirmohammadzade Maleki).- Chapter 9. From Intuitionism to Many-Valued Logics through Kripke Models (Saeed Salehi Pourmehr).- Chapter 10. The Intuitionistic Logic of Language (Mehrnoosh Sadrzadeh).- Chapter 11. Non-Conditional Contracting Connectives (Luis Estrada-González and Elisángela Ramírez-Cámara).- Chapter 12. The Struggle between Syntax and Semantics in Mathematics (Siavash Shahshahani).- Chapter 13. De-Modalizeing the Language in an Empiricist-Friendly Way: The Case of Physics (Kave Lajevardi).- Chapter 14. Avicenna on Deductions from Contradictory Premises (Behnam Zolghar).- Chapter 15. On Descriptive Propositions in Ibn Sīnā: Elements for a Logical Analysis (Shahid Rahman and Mohammad Saleh Zarepour).- Chapter 16. TBA (Ali Farjami).- Chapter 17. Empiricism of Avicenna Reconsidered (Seyed N. Mousavian).