From Antiquity until recently, philosophers and mathematicians have continually discussed the concept of angle and its relation to archimedean and non-archimedean theories of measurement. For the first time, this book traces the history of these discussions in Greek and Arabic, from Euclid to Kamāl al-Dīn al-Fārisī, after whom the discussion was not resumed until Newton and Euler. The volume presents first editions of over twenty texts, either in Arabic or Greek and translated into Arabic, of the greatest mathematicians and philosophers (...) of the time. The texts are here translated into French and supplemented with extensive commentary. The book begins with the definitions and propositions of Euclid on angles and measurement, followed by the Greek commentary tradition represented by Proclus and Simplicius (only extant in Arabic) and the writings of the Arabic mathematicians and philosophers from the 9th through 14th century, placing the fundamental contributions by Avicenna and Ibn al-Haytham into their historical context and showing how numerous successors produced new syntheses of their work. (shrink)

Introduces young readers to Ibn Sina, telling his story as he might tell it himself. It provides a fascinating glimpse into the life of this philosopher, scientist and physician who was one of the greatest thinkers of his time.

We argue that there is an incompatibility between the two basic principles of Molinism, i.e., God’s middle knowledge of counterfactuals of creaturely freedom, and divine immutability. To this end, firstly, we set out the difference between strong and weak immutability: according to the latter only God’s essential attributes remain unchanged, while the former affirms that God cannot change in any way. Our next step is to argue that Molinism ascribes strong immutability to God. However, according to Molinism, some counterfactuals of (...) freedom need to be actualized by divine will. We argue that this claim does entail a change in God because it attributes a knowledge to God that involves moving from possibility to actuality through divine will. Therefore, claiming God knows counterfactuals of freedom leads us to reject the strong sense of divine immutability. Further, we argue that assuming God’s knowledge encompasses counterfactuals of freedom cannot be consistent even with weak immutability because, according to Molinism, a change in God’s knowledge requires a change in His essence. We conclude that Molinism is incoherent. (shrink)

Code of conduct in society according to Islam.

In this work the Persian and English texts are edited and published together for the first time. This is Tusi’s major Ismaili work and the most important primary source on Ismaili doctrines during the Alamut period.

The central issue in this work is self-knowledge. The human soul is created in the Image of God with a purpose.

This is a major work of Islamic mysticism by the great thirteenth-century Persian poet, Farid al-Din Attar. Translated by A J Arberry, Attar’s work and thought is set in perspective in a substantial introduction.

The appearance of nonlinear equations in science, engineering, economics, and medicine cannot be denied. Solving such equations requires numerical methods having higher-order convergence with cost-effectiveness, for the equations do not have exact solutions. In the pursuit of efficient numerical methods, an attempt is made to devise a modified strategy for approximating the solution of nonlinear models in either scalar or vector versions. Two numerical methods of second-and sixth-order convergence are carefully merged to obtain a hybrid multi-step numerical method with twelfth-order (...) convergence while using seven function evaluations per iteration, resulting in the efficiency index of about 1.4262. The convergence is also ascertained theoretically, and the asymptotic error constant is computed. Furthermore, various numerical methods of varying orders are used to compare the numerical results obtained with the proposed hybrid method in approximate solution, number of iterations, absolute error, absolute functional value, and the machine time measured in seconds. The obtained results outperformed the chosen methods when applied models arising from physical and natural fields were solved. Finally, to observe the convergence graphically, some complex polynomials are plotted as polynomiographs, wherein the rapid convergence of the proposed method is guaranteed. (shrink)

Quʹest-ce que lʹêre? Cette question passe pour fonder la philosophie. Encore faut-il s'entendre sur le sens du mot "être ". L'essence des choses détermine-t-elle leur existence? Devons-nous affirmer, au contraire, que l'existence conditionne l'intensité d'être qui qualifie une certaine réalité? Molla Sadr Shirazi, dans ce traité écrit en Iran au siècle de Descartes et de Leibniz, médite ces questions qui sont encore les nôtres. Mais les solutions qu'il propose s'évadent hors de nos perspectives, après avoir opéré une révolution décisive dans (...) la métaphysique des Orientaux. Penseur shi'ite en butte à la persécution, Molla Sadra est la plus haute figure de la philosophie iranienne islamique au temps splendide de la cour safavide d'Ispahan. Sa doctrine du primat de l'existence, que le présent ouvrage expose complètement, ouvre sur une interprétation spirituelle de la résurrection des corps. Cette traduction par Henry Corbin, qui fut aussi l'éditeur du texte original, a fait événement : par son ample introduction, il situe la question de l'être et déploie une explication comparée de ce que l'Occident grec puis médiéval en ont fait, avec la tradition shi'iite. -- Back cover. (shrink)

Applying the resolution–scale relativity principle to develop a mechanics of non-differentiable dynamical paths, we find that, in one dimension, stationary motion corresponds to an Itô process driven by the solutions of a Riccati equation. We verify that the corresponding Fokker–Planck equation is solved for a probability density corresponding to the squared modulus of the solution of the Schrödinger equation for the same problem. Inspired by the treatment of the one-dimensional case, we identify a generalization to time dependent problems in any (...) number of dimensions. The Itô process is then driven by a function which is identified as establishing the link between non-differentiable dynamics and standard quantum mechanics. This is the basis for the scale relativistic interpretation of standard quantum mechanics and, in the case of applications to chaotic systems, it leads us to identify quantum-like states as characterizing the entire system rather than the motion of its individual constituents. (shrink)

This phenomenological study investigated educators’ lived experiences of teaching online in higher institutions in Malaysia. Data, which was generated through semi-structured interviews with 20 lecturers from three universities in the country, was analysed based on the thematic analysis approach guided by the Technological, Pedagogical, and Content Knowledge -self-efficacy framework. The findings revealed that after a year of teaching online, the potential of technology has been acknowledged by the educators after some trials and constraints were addressed. The domains related to Technology (...) Content Knowledge, Technology Pedagogical Knowledge, and TPACK were evident in the findings. However, Pedagogical Content Knowledge was not given emphasis, hence this manuscript argues that educators need to be constantly reminded of the significance of PCK. The findings discussed in this manuscript can be a helpful guide for educators when there is a need for them to teach online. (shrink)

When the teachers’ training practicum was paralyzed during the COVID-19 pandemic, preservice teachers in Malaysia were required to adapt to the online practicum. This qualitative case study was conducted with 20 preservice teachers to investigate their online teaching practicum experiences. The study drew on the Engagement Theory and Disaster Management Cycle framework to further suggest teaching approaches that might be effective during a tragic situation. Data were collected from interviews and video observations, and analyzed thematically. The findings contribute to the (...) understanding of how preservice teachers learn to modify their teaching practices during the challenging context. A number of themes related to positive experience were identified: higher confidence level, improved interaction, engagement in active learning, and adapting to online syllabus. On the other hand, the negative experience revolves around the problem with Internet connection. It is hoped that the findings of this study will encourage preservice teachers to consider hybrid approaches and online teaching in the future. (shrink)

“Maqamat as-Sufiyya” is a small theoretical works of Shihab ad-Din as-Suhrawardi (ab. 1154-1191), the founder of the Philosophy of Illumination. It contains practical instructions and theoretical reflections and proofs. As-Suhrawardi especially notes terminology used by philosophers and terminology used by sufis in “Maqamat as-Sufiyya”.

Air temperature prediction can play a significant role in studies related to climate change, radiation and heat flux estimation, and weather forecasting. This study applied and compared the outcomes of three advanced fuzzy inference models, i.e., dynamic evolving neural-fuzzy inference system, hybrid neural-fuzzy inference system, and adaptive neurofuzzy inference system for AT prediction. Modelling was done for three stations in North Dakota, USA, i.e., Robinson, Ada, and Hillsboro. The results reveal that FIS type models are well suited when handling highly (...) variable data, such as AT, which shows a high positive correlation with average daily dew point, total solar radiation, and negative correlation with average wind speed. At the Robinson station, DENFIS performed the best with a coefficient of determination of 0.96 and a modified index of agreement of 0.92, followed by ANFIS with R2 of 0.94 and md of 0.89, and HyFIS with R2 of 0.90 and md of 0.84. A similar result was observed for the other two stations, i.e., Ada and Hillsboro stations where DENFIS performed the best with R2: 0.953/0.960, md: 0.903/0.912, then ANFIS with R2: 0.943/0.942, md: 0.888/0.890, and HyFIS with R2: 0.908/0.905, md: 0.845/0.821, respectively. It can be concluded that all three models are capable of predicting AT with high efficiency by only using DP, TSR, and WS as input variables. This makes the application of these models more reliable for a meteorological variable with the need for the least number of input variables. The study can be valuable for the areas where the climatological and seasonal variations are studied and will allow providing excellent prediction results with the least error margin and without a huge expenditure. (shrink)

Maimonide, philosophe dans la mouvance d'al-Farabi, etait medecin, informe des mathematiques et maitre de la litterature talmudique. Ce livre a pour ambition d'examiner les liens entre philosophie et science dans l'oeuvre de Maimonide, et aussi de placer celle-ci dans son veritable contexte historique entre Cordoue et Le Caire au XIIe siecle. Les etudes rassemblees ici explorent plusieurs facettes de cette oeuvre: logique, savoir et philosophie mathematiques, ecrits medicaux, conception du libre-arbitre ou des rapports entre nature et loi... Elles examinent aussi (...) l'impact qu'a eu l'oeuvre de Maimonide en arabe, en hebreu et en latin. Maimonides, a philosopher in the tradition of d'al-Farabi, was a physician, well-informed in mathematics, and a master of Talmudic literature. The goal of this book is to examine the links between philosophy and science in Maimonides' work, and also to situate it within its genuine historical context, between Cordoba and Cairo in the 12th century. The studies collected here explore several facets of this work: logic, mathematical knowledge and philosophy, medical writings, conception of free will and of the relations between nature and law, etc. They also examine the impact of Maimonides' work on Arabic, Hebrew, and Latin scientific and philosophical literature. (shrink)