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)

The author gives a clear explanation of the philosophy of Sard al-Din Shirazi.

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)

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.

Code of conduct in society according to Islam.

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.

"Al-Farabi of Baghdad (c. 870-950) is the first major representative of the medieval Arabic Aristotelianism which came to influence the Christian West so profoundly. In the Islamic world his writings on logic set the pattern for the future and virtually created Islamic philosophy. He is also important as a witness to the study of Aristotle in late antiquity, demonstrating a knowledge of Galen and the exegetical tradition of Porphyry. This translation is based on a fresh study of the Arabic manuscripts. (...) An introduction and notes make this intriguing document accessible to all for whom it contains important matter.Classicists, historians of philosophy and logic, medievalists, Arabists, students of Islamic thought."--. (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)

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

The twelfth century philosopher-theologian Fakhr al-Dīn al-Rāzī is well known for his critique of Avicennan metaphysics. In this paper, I examine his critique of Avicenna's physics, and in particular his rejection of the Avicennan and Aristotelian theory of place as the inner boundary of a containing body. Instead, Fakhr al-Dīn defends a definition of place as self-subsisting extension, an idea explicitly rejected by Aristotle and Avicenna after him. Especially in his late work, theMaṭālib, Fakhr al-Dīn explores a number of important (...) philosophical issues with reference to this theory of place, including the principle that two indiscernible things must be identical and the idea that motion and rest are always relative.RésuméLe philosophe-théologien du XIIesiècle Fakhr al-Dīn al-Rāzī est bien connu pour sa critique de la métaphysique avicennienne. Nous examinons, dans cet article, sa critique de la physique d'Avicenne, et en particulier son rejet de la théorie avicennienne et aristotélicienne du lieu – lieu comme limite interne du corps englobant. Alternativement, Fakhr al-Dīn défend une théorie du lieu comme extension auto-subsistante, doctrine explicitement révoquée par Aristote et Avicenne à sa suite. En particulier dans son œuvre tardive, lesMaṭālib, Fakhr al-Dīn explore plusieurs questions philosophiques importantes en rapport avec cette théorie du lieu, dont: le principe voulant que deux choses indiscernables soient identiques, et l'idée selon laquelle mouvement et repos sont toujours relatifs. (shrink)

Ukrainian translation of al-Farabi’s treatise.

De scientiis: translation by Gerard of Cremona of (romanized: Ibsā al-ʻulūm)--De intellectu et intellecto: anonymous translation of (romanized: Risālah fi al-ʻaql).

Selected aphorisms -- Enumeration of the sciences, chapter 5 -- Book of religion -- The harmonization of the two opinions of the two sages: Plato the Divine and Aristotle.

“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”.

En esta nota crítica (i) se hace una breve descripción de cada uno de los artículos que componen Orayen: de la forma lógica al significado, (ii) se señalan algunas cuestiones que no están claras en ellos o en las réplicas de Orayen y, (iii) en la medida de lo posible, se indica si los autores desarrollan ulteriormente los problemas abordados en sus artículos. The aim of this critical note is threefold: (i) it briefly describes and comments on each of the (...) articles of Orayen: de la forma lógica al significado; (ii) identifies some issues that may not be clear enough or not fully developed whether in the articles or even in Orayen's replies; (iii) as far as possible, it refers to further studies made by the authors themselves on the same, or quite related, subjects addressed by them in their papers. (shrink)

La crise et la critique implaquables qui ont mine l'idee de subjectivite et de sujet meme - depuis plusieurs decennies - n'etaient-elles pas dues pour une large part, a l'inachevement des concepts et a celui de la theorie? Inachevement qui cependant, s'est trouve tout a fait masque par l'hypertrophie (mille fois denoncee) du sujet, dans la metaphysique, la morale ou la theorie politique des classiques; et d'ailleurs, masque aussi bien pour ses critiques ulterieurs que pour ses promoteurs. Telle est l'hypothese (...) qui meut cet ouvrage. Elle s'approfondit et surtout en vient a se confirmer, lorsque - s'aidant en quelque sorte des apories et des difficultes memes de la theorie classique parvenue a son apogee - l'on introduit plusieurs notions dont l'absence ou bien le developpement insuffisant, devait conduire a ces difficultes; et plus tard a la critique contemporaine, a son tour (en sens negatif), unilaterale et insuffisante. (shrink)