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.

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.

"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)

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)

Semantic relationships have an active role in textual study, as they are an essential tool through which the text is constructed, this is done through the sequence of sentences of saying, and these relationships lead to the growth and continuation of the subject of the text, and then linking speech, which in turn achieves textual harmony. The aim of this study is to highlight the importance of these relationships and to elaborate on them, this research dealt with two additional linkage (...) relationships: (equivalent additional relationship), and (different additional relationship), with a breakdown of each of them, and then the inclusion of poetic applications from the texts of the poet Hazem Rushak Al-Tamimi, showing the extent of the harmony, plot and coherence of these texts. (shrink)

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

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)

Ukrainian translation of al-Farabi’s treatise.

Predication is a central theme in Arabic logic that has undergone significant semantic transformation throughout history. This article explores the evolution of predication's scope and meaning across four successive stages. Rather than pinpointing specific historical moments—given that these transitions lack clearly defined beginnings or endings—the focus is on key propositions that enrich our understanding of predication, drawing on the classifications of thinkers such as Abū Naṣr al-Fārābī (d. 950), Athīr al-Dīn al-Abharī (d. 1262-65), Mullā Ṣadrā (d. 1635), and Muhammad Ḥusayn (...) Ṭabātabāʾī (d. 1981). The transition from the first to the second stage is characterized by the acceptance of natural propositions (ṭabīʿīya), while subsequent stages involve essential primary (dhātī awwalī) and stronger/weaker (ḥaqīqa-raqīqa) propositions. This progression illustrates a shift from expressing the properties of external objects to articulating the properties of concepts, ultimately culminating in the expression of identity between concepts and external entities. The four stages can be summarized as follows: (1) First-order predication; (2) Second-order predication; (3) Second-order identity; (4) First-order identity. (shrink)

Predication is a central theme in Arabic logic that has undergone significant semantic transformation throughout history. This article explores the evolution of predication's scope and meaning across four successive stages. Rather than pinpointing specific historical moments—given that these transitions lack clearly defined beginnings or endings—the focus is on key propositions that enrich our understanding of predication, drawing on the classifications of thinkers such as Abū Naṣr al-Fārābī (d. 950), Athīr al-Dīn al-Abharī (d. 1262-65), Mullā Ṣadrā (d. 1635), and Muhammad Ḥusayn (...) Ṭabātabāʾī (d. 1981). The transition from the first to the second stage is characterized by the acceptance of natural propositions (ṭabīʿīya), while subsequent stages involve essential primary (dhātī awwalī) and stronger/weaker (ḥaqīqa-raqīqa) propositions. This progression illustrates a shift from expressing the properties of external objects to articulating the properties of concepts, ultimately culminating in the expression of identity between concepts and external entities. The four stages can be summarized as follows: (1) First-order predication; (2) Second-order predication; (3) Second-order identity; (4) First-order identity. (shrink)

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

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)

“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”.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Islam: Religion, History, and CivilizationZain AliIslam: Religion, History, and Civilization. By Seyyed Hossein Nasr. San Francisco: Harper San Francisco, 2003. Pp. 224. Paper $9.71."Islam," writes Seyyed Hossein Nasr, "is like a vast tapestry," and in his book Islam: Religion, History, and Civilization he aims to survey the masterpiece that is Islam. The present work is part of a trilogy including Ideal and Realities of Islam and The Heart (...) of Islam. Nasr states that the common theme in the trilogy "is the universalist perspective and respect for other religions" (p. xxiv). In addition, Nasr clarifies that his approach, as with all of his Islamic writings, is to write from an Islamic perspective, which he terms "traditional Islam" (p. xxiii). Nasr stands opposed to either the secular modernist or fundamentalist perspectives, both of which he regards as forms of extremism.This book, initially published as part of Our Religions, edited by A. Sharma, is significantly revised and includes a new introduction and bibliography. It can best be described as a primer on Islam, consisting of eight chapters that focus on a variety of pertinent themes.Chapter 1 deals with the self-understanding of Islam and the Islamic world. Islam, Nasr notes, sees itself as a return to the primordial faith of humanity, a faith that affirms the unity and oneness of God. This chapter also presents an overview [End Page 495] of the various ethnic and cultural groupings within the Muslim world, and charts the spread and demographic growth of Islam.Chapter 2 introduces the notion of al-din, an Arabic term that corresponds closely to the word "religion." Nasr contrasts the two words, where religion means "to bind" while al-din means "debt" (p. 25). Thus, religion, as framed by Islam, involves the notion of debt, in particular humanity's debt to the Divine. The chapter also discusses the significance of the Qur'an and Muhammad as the messenger of God.Chapter 3 begins with an exposition of the nature of Divinity, which is at the heart of Islamic doctrine. As Nasr explains, the Divine is understood as being "at once the Absolute, the Infinite, and the Perfect Good" (p. 59). The remainder of the chapter deals with various Islamic doctrines and beliefs, including prophecy and revelation, human nature, the Qura'nic view of men and women, and eschatology.Chapter 4 deals with the content, codification, and schools of Shariah, the Divine Law of Islam. There is also an interesting discussion of Sufism, which Nasr claims "is like the heart of the body of Islam" (p. 81). Controversially, Nasr claims that "the spread of Islam outside of the Arab and Persian worlds up to the present day has been mostly through Sufism" (p. 87).Chapter 5 delves into the central pillars of Islam, which accompany the belief in God and in Muhammad as the messenger of God. The pillars are salah (canonical prayer), sawn (fasting), hajj (pilgrimage), and zakah (religious tax or charity). Associated with these pillars is the notion of jihad, and here Nasr writes, "jihad... is usually mistranslated into English as 'holy war,' but literally means 'exertion' or 'effort' in the path of God" (p. 91). Also covered are the topics of family, ethics, and economic and political institutions.Chapter 6 presents the historical evolution of Islam beginning with the migration of Muhammad to Medina, and the events leading to the divide between Sunnis and Shiites.Chapter 7 discusses the early Islamic community, who found themselves in the "throes of disputes over such issues as whether human beings are saved by faith or works, whether there is freewill or determinism, and questions concerning the sacred text as the Word of God" (p. 154). Nasr then explores the various schools of theology and philosophy that arose in order to address these questions of faith.Chapter 8, the final chapter of the book, attempts to evaluate the place of Islam in the contemporary world. Nasr concludes by noting that despite the challenges of secular modernism and fundamentalism the vast majority of Muslims remain committed to the truth of Islam, and bear witness to the Oneness of God and the Oneness of humanity.The one quibble... (shrink)

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.

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 Kitāb Takrīm al-ma‛īsha bi-taḥrīm al-ḥashīsha and the Kitāb Tatmīm al-Takrīm li-mā fi l-ḥashīsh min al-taḥrīm by Quṭb al-dīn al-Qasṭallānī occupy a prominent place in the Arabic literature scene on drugs in general and on hashish in particular. Its relevance is due to the fact that most of the Arab authors of subsequent centuries made use of these two epistles in drafting their treatises. That is why al-Qasṭallānī is the most frequently quoted authority in the aforementioned treatises. A close look (...) at both epistles reveals a considerable amount of historiographic unknown data to date on Arabic writing devoted to hashish and prompts us to question other generally accepted data. Futhermore, the characterisation of al-Qasṭallānī's historic personality perfectly illustrates the arrangement of orthodox sufi stratum who were the most important defenders of the ideological fight against hashish consumption during the 13th century. At the same time, the study of the contents of their epistles offers us a clear image of the general ideological context in which the controversy among those Sufis who were against and those who were for the ritual consumption for hashish took place. (shrink)