Overview
- Brings together some of the most prominent scholars with rising stars
- Focuses on the intersection of mathematics, logic and philosophy
- Is dedicated to the works of Iranian professor of mathematics, Mohammad Ardeshir
Part of the book series: Logic, Epistemology, and the Unity of Science (LEUS, volume 49)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (19 chapters)
-
Front Matter
Keywords
- Intuitionistic Logic
- Constructive Logic
- Basic Logic
- Constructive Mathematics
- Substructural Logic
- Intuitionistic Philosophy of Mathematics
- L. E. J. Brouwer
- Arabic Logic
- Arabic Philosophy of Mathematics
- Mohammad Ardeshir
- Residuated Expansions of Lattice-Ordered Structures
- Bounded Distributive Lattices with Two Subordinations
- Unification in basic logic
- Termination Condition of Gossip Protocols
- Binary Modal Companions for Subintuitionistic Logics
- Intuitionism to Many-Valued Logics through Kripke Models
- Intuitionistic Logic of Language
- Non-Conditional Contracting Connectives
- Struggle between Syntax and Semantics in Mathematics
- Avicenna on Deductions from Contradictory Premises
About this book
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.
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: Mathematics, Logic, and their Philosophies
Book Subtitle: Essays in Honour of Mohammad Ardeshir
Editors: Mojtaba Mojtahedi, Shahid Rahman, Mohammad Saleh Zarepour
Series Title: Logic, Epistemology, and the Unity of Science
DOI: https://doi.org/10.1007/978-3-030-53654-1
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-53653-4Published: 09 February 2021
Softcover ISBN: 978-3-030-53656-5Published: 09 February 2022
eBook ISBN: 978-3-030-53654-1Published: 09 February 2021
Series ISSN: 2214-9775
Series E-ISSN: 2214-9783
Edition Number: 1
Number of Pages: XVIII, 483
Number of Illustrations: 21 b/w illustrations, 5 illustrations in colour
Topics: Logic, Philosophy of Mathematics, Mathematical Logic and Foundations, History of Philosophy