Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir
Springer (2021)
Abstract
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.Author's Profile
My notes
Chapters
Binary Modal Companions for Subintuitionistic Logics.Dick de Jongh & Fatemeh Shirmohammadzadeh Maleki
Correction to: Binary Modal Companions for Subintuitionistic Logics.Dick de Jongh & Fatemeh Shirmohammadzadeh Maleki
Fuzzy Generalised Quantifiers for Natural Language in Categorical Compositional Distributional Semantics.Mǎtej Dostál, Mehrnoosh Sadrzadeh & Gijs Wijnholds
On PBZ∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{*}$$\end{document}–Lattices. [REVIEW]Roberto Giuntini, Claudia Mureşan & Francesco Paoli
On Descriptional Propositions in Ibn Sīnā: Elements for a Logical Analysis.Shahid Rahman & Mohammad Saleh Zarepour
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The Σ1-Provability Logic of HA.Mohammad Ardeshir & Mojtaba Mojtahedi - forthcoming - Journal of Symbolic Logic:1-18.
The Σ1-provability logic of HA.Mohammad Ardeshir & Mojtaba Mojtahedi - 2018 - Annals of Pure and Applied Logic 169 (10):997-1043.
From Intuitionism to Many-Valued Logics Through Kripke Models.Saeed Salehi - 2021 - In Mojtaba Mojtahedi, Shahid Rahman & Mohammad Saleh Zarepour (eds.), Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir. Springer. pp. 339-348.
Reduction of provability logics to Σ1-provability logics.Mohammad Ardeshir & S. Mojtaba Mojtahedi - 2015 - Logic Journal of the IGPL 23 (5):842-847.
A solution to the surprise exam paradox in constructive mathematics.Mohammad Ardeshir & Rasoul Ramezanian - 2012 - Review of Symbolic Logic 5 (4):679-686.
The -provability logic of.Mohammad Ardeshir & Mojtaba Mojtahedi - 2019 - Journal of Symbolic Logic 84 (3):1118-1135.
Completeness of intermediate logics with doubly negated axioms.Mohammad Ardeshir & S. Mojtaba Mojtahedi - 2014 - Mathematical Logic Quarterly 60 (1-2):6-11.
Basic propositional logic and the weak excluded middle.Majid Alizadeh & Mohammad Ardeshir - 2019 - Logic Journal of the IGPL 27 (3):371-383.
Compactness, colocatedness, measurability and ED.Mohammad Ardeshir & Zahra Ghafouri - 2018 - Logic Journal of the IGPL 26 (2):244-254.
On the constructive notion of closure maps.Mohammad Ardeshir & Rasoul Ramezanian - 2012 - Mathematical Logic Quarterly 58 (4-5):348-355.
The principle of open induction and Specker sequences.Mohammad Ardeshir & Zahra Ghafouri - 2017 - Logic Journal of the IGPL 25 (2):232-238.
A Bounded Translation of Intuitionistic Propositional Logic into Basic Propositional Logic.Mojtaba Aghaei & Mohammad Ardeshir - 2000 - Mathematical Logic Quarterly 46 (2):195-206.
Gentzen-style axiomatizations for some conservative extensions of basic propositional logic.Mojtaba Aghaei & Mohammad Ardeshir - 2001 - Studia Logica 68 (2):263-285.
A translation of intuitionistic predicate logic into basic predicate logic.Mohammad Ardeshir - 1999 - Studia Logica 62 (3):341-352.
A. R. Wadia: Essays in Philosophy Presented in His Honour.Robert W. Browning - 1957 - Philosophical Review 66 (2):277-279.
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