In his second period of logical research, which includes several books and treatises, Athir al-Din al-Abhari is the only Avicennan logician who vindicated as invalid one of the two most important Avicennan novelties: iqtirani conditional syllogism. His exposition and reasons for this invalidity in these books and treatises are various and rooted in numerous kinds of conditionals and their truth-conditions and their developments in the books and treatises. His most important reason to deny conditional syllogism is notice to the manifold (...) assumptions used to prove the syllogisms. In this paper, we deal with the main reason, studying the mentioned differences and developments. Citing successor logicians’ points of views on Abhari’s claim and assessment of all of them is out of the purposes of this paper and in need to other researches. (shrink)

One of the most influential figures in the history of Islamic thought is Fakhr al-Dīn al-Rāzī (d. 606/1210). The identities of mushakkik, which creates problems on many subjects, especially metaphysical and theological ones, the muhaqqiq who tries to solve the problems above the sects, and the jâmî who brings many different views together in the highest concepts, have seriously affected all the thinkers after him. Therefore, in the tradition, all schools had to inherit the philosophical and scientific dynamism that he (...) created and displayed an attitude about the problems he created and the solutions he offered. The real important motive that makes Râzî so indispensable and effective is his problematic identity (mushakkik), which carries the kalām to philosophy and philosophy to kalām, and criticizes philosophy on the basis of the kalām, and the kalām on the basis of philosophy. For this reason, when we look at the works of Râzî, who has been evaluated politically and sociologically within Ash'arism throughout his life, it is clearly seen that he is a thinker who is suitable to be embraced by different schools and to be interpreted in different ways. The fact that many Ahl as-sunnah theologians emphasized the works written by Râzî with a theological-Ash'ari theme, caused his supra-sectarian identity to be overshadowed. On the other hand, it is seen that some thinkers are making an effort to know and recognize Râzî as a philosopher-theologian and muhaqqiq. This effort is clearly seen especially in scientific figures who benefited from Kamaladdin Ibn Yûnus (d. 639/1242) in some way. Afḍal al-Dīn Khūnajī (d. 646/1248), Athir al-Din al-Abharî (d. 663/1265), Najm al-Din al-Qazwinî al-Kâtibî (d. 675/1277) can be given as examples. These personalities, on the one hand, played an active role in the spread of Râzî's scientific heritage and they were effective in bringing Râzî to the fore with his supra-sectarian identity on the other. Sirāj Al-Dīn Al-Urmawî (d. 682/1283), who inherited his scientific legacy, is among the important names who established his identity as a muhaqqiq who mostly solved supra-sectarian problems. Human actions are at the forefront of the issues in which this facility has clearly emerged. Urmawî tries to revise al-Arba'în's expressions, which seem to ignore the power and influence of human beings in terms of human actions as well as criticizing Razi's arguments very seriously. In his work Lübâb, on the one hand, he summarizes al-Erba'în of Razî he seriously criticizes Razi's Ash'ari attitude towards human actions on the other. He does this largely on the axis of the arguments that Râzî himself expressed from his encyclopedic works such as al-Matâlibu'l-'âliyya mina'l-'ilmi'l-ilâhi. It is clear that this is not an ordinary situation. Because human actions are at the forefront of the issues that determine the thinkers' conception of divinity and the relationship between God and man. In this study, Râzî's attitude on this issue and Urmavi's philosophical and theological criticisms will be tried to be determined. Thus, it is clearly seen that he is trying to establish Râzî as a muhaqqiq in the axis of human actions. (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.

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.

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)

Acknowledgements -- List of illustrations -- Table of transliteration -- Introduction: Shams al-Din Samarqandi: his life and training -- Works and thought -- Science of the cosmos and the soul ('Ilm al-afaq wa al-anfus) -- Manuscripts used in preparing this edition -- Sources -- Persian and Arabic texts [1-287].

“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”.

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)

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

The medieval Islamic solutions to the liar paradox can be categorized into three different families. According to the solutions of the first family, the liar sentences are not well-formed truth-apt sentences. The solutions of the second family are based on a violation of the classical principles of logic (e.g. the principle of non-contradiction). Finally, the solutions of the third family render the liar sentences as simply false without any contradiction. In the Islamic tradition, almost all the well-known solutions of the (...) third family are inspired by the solution proposed by At_īr al-Dīn al-Abharī (d. 1265). Providing a logical analysis of his discussion of the liar paradox, I show that his solution is based on a conception of truth according to which every sentence signifies, usually among other things, its own truth. This makes Abharī’s solution of the same spirit as certain solutions that were later developed in the Latin tradition, in particular by John Buridan (d. 1358) and Albert of Saxony (d. 1390). (shrink)