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)

This paper is a technical study of the systematic observations and computations made by Muḥyī al-Dīn al-Maghribī (d. 1283) at the Maragha observatory (north-western Iran, c. 1259–1320) in order to newly determine the parameters of the Ptolemaic lunar model, as explained in his Talkhīṣ al-majisṭī, “Compendium of the Almagest.” He used three lunar eclipses on March 7, 1262, April 7, 1270, and January 24, 1274, in order to measure the lunar epicycle radius and mean motions; an observation on April 20, (...) 1264, to determine the lunar eccentricity; an observation on August 29, 1264, to test the model; and another on March 15, 1262, for measuring the lunar parallax. In the second period of activity at the Maragha observatory, Shams al-Dīn Muḥammad al-Wābkanawī (c. 1254–1320) adopted all of al-Maghribī’s parameter values in his Zīj, but decreased his value for the mean longitude of the moon at epoch by 0;13,11∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{\circ }$$\end{document}. By comparing the times of the new moons and lunar eclipses in the period of 1270–1320 as computed from the astronomical tables of the Maragha tradition with the true modern ones, it is argued that this correction was very probably the result of actual observations. (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.

Ptolemy presents only one argument for the eccentricity in his models of the superior planets, while each one of them has two eccentricities: one for center of the uniform motion, the other for the center of the constant distance. To take into account the first eccentricity, he introduces the equant point, but he provides no argument for the eccentricity of the center of the deferent. Why is the second eccentricity different from the first one? The 13 th century astronomer Quṭb (...) al-Dīn al-Shīrāzī, a member of the famous school of Marāgha, who was interested in this problem, suggests the “retrograde arcs” as the empirical origin of the second eccentricity and develops an argument to justify this conjecture. Although his argument is not without difficulty, his suggestion is in line with the suggestions made by some historians of astronomy in recent decades. Résumé Ptolémée ne donne qu'un seul argument pour expliquer dans son système l'excentricité des planètes supérieures, alors que chacune d'elles a deux excentricités: l'une par rapport au centre du mouvement uniforme, l'autre par rapport au centre de la distance constante. Pour rendre compte de la première excentricité, il introduit le point équant, mais il ne donne en revanche aucun argument pour l'excentricité par rapport au centre du cercle déférent. Or, pourquoi la seconde excentricité est-elle différente de la première? Quṭb al-Dīn al-Shīrāzī, astronome du xiii e siècle membre de l'école de Marāgha, qui s'est intéressé à cette question, a fait l'hypothèse que les “arcs de rétrogradation” constituent l'origine empirique de cette seconde excentricité. Bien que l'argument sur lequel il appuie cette hypothèse ne soit pas exempt de difficultés, sa suggestion rejoint celles faites par des historiens de l'astronomie durant les dernières décennies. (shrink)

Resistance towards non-Muslim leaders emerged when the case of blasphemy against Islam was brought against Basuki Tjahya Purnama, known as Ahok, as the governor of DKI Jakarta at that time (DKI Jakarta is mostly inhabited by Muslims). The case of blasphemy committed by Ahok has triggered the resistance of Muslims towards non-Muslim candidates for the regional leader election. This study uses a cross-sectional design conducted by interviewing 1121 Muslim youths who participated in regional head elections in North Sumatra. Multivariate analysis (...) in this study used a logistic regression test with JAPS 16 software. The results of this study indicate that Muslim youth in North Sumatra province have high resistance to non-Muslim candidates for regional heads (governor and mayor). Hifz Al-Din [maintaining religion] (p < 0.001; Exp [β] = 2.505) is seen to affect the resistance of Muslim youth to non-Muslim governor candidates; Hifz Al-Din (p < 0.001; Exp [β] = 2.053) is seen to affect the resistance of Muslim youth to non-Muslim mayoral candidates; Hifz Al-Ummah [developing national integration] (p = 0.001; [β] = 2.194) is seen to have influenced the resistance of Muslim youth to non-Muslim governor candidates; Hifz Al-Ummah (p = 0.011; Exp [β] = 1.800) affects the resistance of Muslim youth to non-Muslim mayoral candidates. Muslim youth have high resistance to non-Muslim leaders when participating in elections. Muslim youth are afraid that prospective non-Muslim leaders will make various policies that will make it difficult for Muslims to carry out various kinds of worship performed by Muslims. CONTRIBUTION: This study is expected to provide information for non-Muslim leader candidates about the fear of Muslim youth against non-Muslim candidates for the regional leader election, especially regarding the policies to carry out worship for Muslims and to maintain the unity of the Ummah. (shrink)

The resistance of Muslims to shamanism began when lies of the shamans were exposed on social media. Many shamans practise fraud under the guise of religion. Magical objects such as luminous daggers or stones that emit smoke, used by shamans as occult actors are also known to be objects of magic tricks that are sold freely and can be used by anyone. Scholars also continuously preach that Muslims’ belief in shamans is forbidden. Therefore, Muslims in Indonesia fear that believing in (...) shamans degrades human dignity and makes worship unacceptable. The purpose of this research is to identify the factors that cause the resistance of Muslim youth to shamanism. This study used a cross-sectional design which was conducted by interviewing 3025 Muslim youths who had the desire to highlight shamanism phenomena in North Sumatra. The analysis in this study used a logistic regression test with Jeffreys’s Amazing Statistics Program (JAPS 16 software). The results of this study indicate that Muslim youths have a high resistance to shamanism. The resistance of young Muslims to shamanism is influenced by emancipative Islamic theology ( p < 0.001; Exp [β] = 2.504) and hifz al-din [maintaining religion] ( p = 0.001; Exp [β] = 2.293). Muslim youths have high resistance to shamanism due to the fear that this culture will reduce the dignity of the human caliphate if it is subject to anyone other than Allah. Muslim youth also have high resistance to shamanism because they are of the view that shamanism makes worship unacceptable to Allah SWT. Contribution: This article explains the resistance of Muslim youth to shamanism. It also demonstrates how Muslims live in a multicultural society. (shrink)

The seventeenth century Muslim philosopher Muhammad Sadr al-Din Shirazi, known as Mulla Sadra, introduced the idea of substantial motion in Islamic philosophy. This view is characterized by a continuity criterion for diachronic identity, a four-dimensional view of individual substances, the notion that possibilities change, and the continual creation of all creatures. Modern philosophical logic provides means to model a variety of claims about individuals, substances, modality and time. In this paper, the semantics of formal systems discussed by Carnap, Bressan and (...) Gupta are reviewed with regard to the issue of substance and identity. Next a model introduced by Storrs McCall is described that is able to build upon and yet resolve some of the issues about substance and identity as characterized by Bressan and others. McCall’s model is also shown to be able to provide an illustration of Mulla Sadra’s doctrine of substantial motion. (shrink)

Muḥyī al-Dīn Ibn ‘Arabī (d. 638/1240) is regarded as one of the foremost mystical thinkers in Islam. This paper explores the ways in which he and his followers distinguish between the reality of Muḥammad (_al-ḥaqīqa al-Muḥammadiyya_) or the light of Muḥammad (_al-nūr al-Muḥammadī_), as the metaphysical reality of Muḥammad, and his metahistorical manifestation as Muḥammad Ibn ‘Abd Allāh. In his metaphysical reality, Muḥammad is the manifestation of the _qur’ān_, which ‘brings together’ the divine and His creation. Muḥammad’s metaphysical reality, as (...) the primary recipient of the divine outpouring, enables further differentiations of the divine to emerge in the form of the universe, and establishes his connection to the divine. Yet the Qur’an is also temporal in terms of being an historical act of revelation. Likewise, Muḥammad Ibn ‘Abd Allāh, in terms of his physical reality, was temporally circumscribed. It is in these ways, argues Ibn ‘Arabī and his acolytes, that Muḥammad, as reality and personality, brings together the divine and the temporal, in the same manner as the _qur’ān_/Qur’an respectively. (shrink)

These notules deal with the question of the lexical data in vernacular/semi-vernacular Arabic collected in the Manāqib Abī l-Qāsim al-Misrātī by the writer Ǧamāl al-dīn Muḥammad b. Ḫalaf al-Misrātī al-Qayrawānī. We remind historians and linguists of the interest there would be in studying the textual material in vernacular/semi-vernacular Arabic from Tunisia-Libya in the 11th/17th century in order to contribute to a better knowledge of the social history of linguistic habits. The information is exposed in Arabic script and ranged into two (...) sections: common lexicon and compound formulas/sentence segments. (shrink)

The paper explores the role and meaning of maṣlaḥa and its possible appropriation in the field of Islamic legal and economic thought, as laid down by various medieval and contemporary Muslim scholars. Questions that are pertinent to the research are the following: how has maṣlaḥa been incorporated in legal reasoning and what kind of meaning does it convey; what type of economic reading does it presuppose; do ethics, law, and scriptural sources play equally important role as reference in developing the (...) concept in economic terms, are some of the questions that this paper will try to provide answer to. Further, as there is a tendency to believe that Islamic economic thought cannot be equated only with legal and juridical underpinnings, it is pertinent to pose a question if economic ideas have flourished independently from its legal framework. Maṣlaḥa in its capacity has always remained part and parcel of Islamic legal theory, and has been rarely addressed within the frame of economic thought; therefore a new reading is required to deal with the position of economic teachings within Islamic tradition. The paper consists of three sections, whereby the contributions made by Muslim medieval scholars on Islamic economics will be presented. The first chapter provides a historical overview of Islamic law and the concept of maṣlaḥa in relation to the field of Islamic economics, including Abu Hamid al-Ghazali’s monumental Iḥya ‘ulūm al dīn, which presents a milestone in converging Sufi ethical teachings of Islam in accordance with the legal methodology of Islamic law. The second part aims to discern and examine the economic jurisprudence and economic theory in Islam as it is understood by some of the mainstream theoreticians of Islamic studies, advocating the view that Islamic economics is inextricably related to the gist of Islamic legal reasoning. In this section the ideas of Muhammad Baqr al-Sadr will be presented as he proposes a new reading of Islamic economics as a doctrine and not a science. The third part questions Islamic legal establishment and its normativity, the claim that legal norms have always been part of the Islamic economic reasoning. This claim rests upon the idea that Islamic legal patterns were also socially constructed, including some aspects of Islamic economic reasoning. Concluding remarks will draw upon the idea that despite the fact that Islamic legal and economic literature are based upon the religious scriptures of Islam, the Qur’an and Tradition, it is more appropriate to claim that they rest upon the ethical cosmology that surpasses purely theological concerns. (shrink)

The paper explores the role and meaning of maṣlaḥa and its possible appropriation in the field of Islamic legal and economic thought, as laid down by various medieval and contemporary Muslim scholars. Questions that are pertinent to the research are the following: how has maṣlaḥa been incorporated in legal reasoning and what kind of meaning does it convey; what type of economic reading does it presuppose; do ethics, law, and scriptural sources play equally important role as reference in developing the (...) concept in economic terms, are some of the questions that this paper will try to provide answer to. Further, as there is a tendency to believe that Islamic economic thought cannot be equated only with legal and juridical underpinnings, it is pertinent to pose a question if economic ideas have flourished independently from its legal framework. Maṣlaḥa in its capacity has always remained part and parcel of Islamic legal theory, and has been rarely addressed within the frame of economic thought; therefore a new reading is required to deal with the position of economic teachings within Islamic tradition. The paper consists of three sections, whereby the contributions made by Muslim medieval scholars on Islamic economics will be presented. The first chapter provides a historical overview of Islamic law and the concept of maṣlaḥa in relation to the field of Islamic economics, including Abu Hamid al-Ghazali’s monumental Iḥya ‘ulūm al dīn, which presents a milestone in converging Sufi ethical teachings of Islam in accordance with the legal methodology of Islamic law. The second part aims to discern and examine the economic jurisprudence and economic theory in Islam as it is understood by some of the mainstream theoreticians of Islamic studies, advocating the view that Islamic economics is inextricably related to the gist of Islamic legal reasoning. In this section the ideas of Muhammad Baqr al-Sadr will be presented as he proposes a new reading of Islamic economics as a doctrine and not a science. The third part questions Islamic legal establishment and its normativity, the claim that legal norms have always been part of the Islamic economic reasoning. This claim rests upon the idea that Islamic legal patterns were also socially constructed, including some aspects of Islamic economic reasoning. Concluding remarks will draw upon the idea that despite the fact that Islamic legal and economic literature are based upon the religious scriptures of Islam, the Qur’an and Tradition, it is more appropriate to claim that they rest upon the ethical cosmology that surpasses purely theological concerns. (shrink)

Jamal al-Din al-Afghani (1838-97) was a pan-Islamic thinker, political activist, and journalist, who sought to revive Islamic thought and liberate the Muslim world from Western influence. Many aspects of his life and his background remain unknown or controversial, including his birthplace, his religious affiliation, and the cause of his death. He was likely born in Asadabad, near present-day Hamadan, Iran. His better known history begins when he was 18, with a one-year stay in India that coincided with the Sepoy Mutiny (...) of 1857-59. In what would become a life of constant travel, he soon went to Mecca to perform Hajj, before returning to Afghanistan to join the service of the country's ruler, Dost Mohammad Khan (1793-1863). He later sided with Dost's son Mohammad Aʻzam, who ultimately lost in a power struggle with his British-supported brother Sher Ali. Al-Afghani's political activism eventually took him to Paris, London, Tehran, Saint Petersburg, and Constantinople. It was during his second stay in Egypt (1871-79) that he cemented his role as a reformer. He found in Cairo a class of young intellectuals who gathered around him, established newspapers, and used these papers to disseminate his ideas. Chief among al-Afghani's Egyptian disciples were scholar Muhammad ʻAbduh, journalist ʻAbd Allah al-Nadim, and nationalist politicians Mustafa Kamil and Saʻd Zaghlul. Al-Afghani's influence on both modernist and traditionalist Islamic thought continues to the present. An activist who sought to effect change through political journalism and public speaking, he did not write many books. This treatise, entitled al-Radd ʻalā al-dahrīyīn (Refutation of the materialists), was a rebuttal of the views of the pro-British Sir Sayyid Ahmad Khan, who had argued that science is more important than religion in the rise of civilizations. First written in Persian following al-Afghani's exile from Egypt to India, it was translated into Arabic by his student Muhammad ʻAbduh, with the help of al-Afghani's assistant Arif Efendi. (shrink)

This book defines, perhaps for the first time in the history of the intellectual and religious tradition of Islam, the meaning of worldview from the perspective of Islam. The definition is articulated in the gathering together of the fundamental elements in the vision of reality and truth that projects the worldview of Islam into a meaningful whole. This articulation of the definition involves also explanation and contradiction of the challenges to that vision encountered throughout the ages to the present time.

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)

Ṭūsī, Naṣīr al-Dīn Muḥammad ibn Muḥammad, 1201-127 ; Risālah-i is̲bāt al-ʻaql - Criticism and interpretation.

Rāzī, Fakhr al-Dīn Muḥammad ibn ʻUmar; 1149 or 1150-1210; criticism and interpretation; Islamic ethics; Islamic philosophy.

This text is a bilingual Arabic-English translation of one of the most important metaphysical works of the Persian Muslim philosopher known as Mulla Sadra & Sadr al-Din Muhammad al-Shirazi. In this work Mulla Sadra develops an anti-Platonic philosophical position which is non-Aristotelian. He holds that "existents" are ontologically prior to "essence" & that there are two different realms -- the mind dependent domain & entities which exist independent of the mind. Mulla Sadra's views became very popular among Iranian Muslim philosophers (...) & eventually were instrumental in destroying the Aristotelian school of thought in the Islamic world. The translator, Dr. Parviz Morewedge, is the Secretary-Treasurer of the Society for the Study of Islamic Philosophy & Science & has published ten books & numerous articles in Islamic Philosophy & Mysticism. (shrink)