Mathematics, Logic, and their Philosophies

Essays in Honour of Mohammad Ardeshir
1. Auflage 2021
ISBN: 978-3-030-53656-5
Verlag: Springer International Publishing

Buch, Englisch, Band 49, 483 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 756 g

Reihe: Logic, Epistemology, and the Unity of Science

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.

Zielgruppe

Research

Autoren/Hrsg.

Mojtahedi, Mojtaba

Zarepour, Mohammad Saleh

Rahman, Shahid

Fachgebiete

• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie

Inhaltsverzeichnis

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 Sina: 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).

Über Autor(innen)

Mojtaba Mojtahedi is Assistant Professor at the Department of Mathematics, Statistics and Computer Science, College of Science, University of Tehran. He is graduated from Sharif University of Technology in 2013. His research interests include provability logic, intuitionistic logic and arithmetic.
Shahid Rahman is full-professor of logic and epistemology at the Université de Lille-Nord-pas-de-Calais, Sciences Humaines et Sociales. He is also researcher at the UMR-CNRS 8163: STL, member (2016-2018) of the Conseil Scientifique du Réseau national des Maisons des Sciences de l’Homme, member of the commission of the Institute Eric Weil, and director (for the French side) of the ANR-DFG Franco-German project 2012-2015 (Lille (MESHS)/Konstanz, Prof M. Armgardt): Théorie du Droit et Logique/Jurisprudenz und Logik. Prof. Rahman works span both philosophy of logic and its history, including a dialogical perspective on Constructive Type Theory. He is the leading researcher in the field of the dialogical conception of logic to which he contributed with publications in, among other fields, non-classical logics, legal reasoning, Aristotle, Arabic Logic and Epistemology. Prof. Rahman is the main editing director of two collections of books in Springer, namely, Logic, Epistemology and the Unity of Science (more than 40 volumes edited so far), and Logic, Argumentation and Reasoning, Perspectives from the Social Sciences and the Humanities.

Mohammad Saleh Zarepour is a Humboldt Postdoctoral Research Fellow at Ludwig Maximilian University of Munich. His areas of expertise include philosophy of mathematics, philosophy of language and philosophy of religion from the perspective of both contemporary analytic philosophy and medieval Islamicate philosophy. He has published articles in various journals, including Synthese, Archiv für Geschichte der Philosophie, Oriens, Acta Analytica, Religious Studies, Sophia, and Dialogue.