We show that the Q-degree of a hyperhypersimple set includes an infinite collection of Q1-degrees linearly ordered under \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\leq_{Q_1}}$$\end{document} with order type of the integers and consisting entirely of hyperhypersimple sets. Also, we prove that the c.e. Q1-degrees are not an upper semilattice. The main result of this paper is that the Q1-degree of a hemimaximal set contains only one c.e. 1-degree. Analogous results are valid for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} (...) \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Pi_1^0}$$\end{document}s1-degrees. (shrink)

We show that the c.e. Q1,N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${Q_{1,N}}$$\end{document}-degrees are not an upper semilattice. We prove that if M is an r-maximal set, A is an arbitrary set and M≡Q1,NA\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M \equiv{}_ {Q_{1,N}}A}$$\end{document}, then M≤mA\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M\leq{}_{m} A}$$\end{document}. Also, if M1 and M2 are r-maximal sets, A and B are major subsets of M1 and M2, respectively, and M1\A≡Q1,NM2\B\documentclass[12pt]{minimal} \usepackage{amsmath} (...) \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{1}{\setminus} A\equiv{}_{Q_{1,N}}M_{2}{\setminus} B}$$\end{document}, then M1\A≡mM2\B\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{1}{\setminus}A\equiv{}_{m}M_{2}{\setminus} B}$$\end{document}. If M1 and M2 are r-maximal sets and M10,M11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{1}^{0},\,M_{1}^{1}}$$\end{document} and M20,M21\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{2}^{0},\,M_{2}^{1}}$$\end{document} are nontrivial splittings of M1 and M2, respectively, then M10≡Q1,NM20\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{1}^{0} \equiv{}_{Q_{1,N}}M_{2}^{0}}$$\end{document} if and only if M10≡1M20\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{1}^{0} \equiv{}_{1}M_{2}^{0}}$$\end{document}. From this result follows that if A and B are Friedberg splitting of an r-maximal set, then the Q1,N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${Q_{1,N}}$$\end{document}-degree of A contains only one c.e. 1-degree. (shrink)

In this paper we study structural properties of n-c. e. Q-degrees. Two theorems contain results on the distribution of incomparable Q-degrees. In another theorem we prove that every incomplete Q-degree forms a minimal pair in the c. e. degrees with a Q-degree. In a further theorem it is proved that there exists a c. e. Q-degree that is not half of a minimal pair in the c. e. Q-degrees.

We show that if M is an r‐maximal set, A is a major subset of M, B is an arbitrary set and, then. We prove that the c.e. ‐degrees are not dense. We also show that there exist infinite collections of ‐degrees and such that the following hold: (i) for every i, j,, and,(ii) each consists entirely of r‐maximal sets, and(iii) each consists entirely of non‐r‐maximal hyperhypersimple sets.

We investigate strong versions of enumeration reducibility, the most important one being s-reducibility. We prove that every countable distributive lattice is embeddable into the local structure $L(\mathfrak D_s)$ of the s-degrees. However, $L(\mathfrak D_s)$ is not distributive. We show that on $\Delta^{0}_{2}$ sets s-reducibility coincides with its finite branch version; the same holds of e-reducibility. We prove some density results for $L(\mathfrak D_s)$ . In particular $L(\mathfrak D_s)$ is upwards dense. Among the results about reducibilities that are stronger than s-reducibility, (...) we show that the structure of the $\Delta^{0}_{2}$ bs-degrees is dense. Many of these results on s-reducibility yield interesting corollaries for Q-reducibility as well. (shrink)

Let A be an infinite Δ₂⁰ set and let K be creative: we show that K≤Q A if and only if K≤Q₁ A. (Here ≤Q denotes Q-reducibility, and ≤Q₁ is the subreducibility of ≤Q obtained by requesting that Q-reducibility be provided by a computable function f such that Wf(x)∩ Wf(y)=∅, if x \not= y.) Using this result we prove that A is hyperhyperimmune if and only if no Δ⁰₂ subset B of A is s-complete, i.e., there is no Δ⁰₂ subset (...) B of A such that \overline{K}≤s B, where ≤s denotes s-reducibility, and \overline{K} denotes the complement of K. (shrink)

Let A be an infinite $\Delta _{2}^{0}$ set and let K be creative: we show that K ≤Q A if and only if K ≤Q1 A. (Here ≤Q denotes Q-reducibility, and ≤Q1 is the subreducibility of ≤Q obtained by requesting that Q-reducibility be provided by a computable function f such that Wf(x) ∩ Wf(y) = ∅, if x ≠ y.) Using this result we prove that A is hyperhyperimmune if and only if no $\Delta _{2}^{0}$ subset B of A is (...) s-complete. i.e., there is no $\Delta _{2}^{0}$ subset B of A such that K̄ ≤s B, where ≤s denotes s-reducibility, and K̄ denotes the complement of K. (shrink)

We show that the _sQ_-degree of a hypersimple set includes an infinite collection of \(sQ_1\) -degrees linearly ordered under \(\le _{sQ_1}\) with order type of the integers and each c.e. set in these _sQ_-degrees is a hypersimple set. Also, we prove that there exist two c.e. sets having no least upper bound on the \(sQ_1\) -reducibility ordering. We show that the c.e. \(sQ_1\) -degrees are not dense and if _a_ is a c.e. \(sQ_1\) -degree such that \(o_{sQ_1}, then there exist (...) infinitely many pairwise _sQ_-incomputable c.e. _sQ_-degrees \(\{c_i\}_{i\in \omega }\) such that \((\forall \,i)\;(a. (shrink)

We use certain strong Q-reducibilities, and their corresponding strong positive reducibilities, to characterize the hyperimmune sets and the hyperhyperimmune sets: if A is any infinite set then A is hyperimmune (respectively, hyperhyperimmune) if and only if for every infinite subset B of A, one has \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\overline{K}\not\le_{\rm ss} B}$$\end{document} (respectively, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\overline{K}\not\le_{\overline{\rm s}} B}$$\end{document}): here \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\le_{\overline{\rm (...) s}}}$$\end{document} is the finite-branch version of s-reducibility, ≤ss is the computably bounded version of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\le_{\overline{\rm s}}}$$\end{document}, and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\overline{K}}$$\end{document} is the complement of the halting set. Restriction to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Sigma^0_2}$$\end{document} sets provides a similar characterization of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Sigma^0_2}$$\end{document} hyperhyperimmune sets in terms of s-reducibility. We also show that no \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${A \geq_{\overline{\rm s}}\overline{K}}$$\end{document} is hyperhyperimmune. As a consequence, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\deg_{\rm s}(\overline{K})}$$\end{document} is hyperhyperimmune-free, showing that the hyperhyperimmune s-degrees are not upwards closed. (shrink)

صدر عن المركز العربي للأبحاث ودراسة السياسات كتاب المنطق الإسلامي: حضور المنطق الأرسطي لدى مفكري المشرق الإسلامي، وهو من تأليف محمد بن يعيش. يقع الكتاب في 272 صفحة، شاملةً ببليوغرافيا وفهرسًا عامًّا. أمام ما يعرِّفه مؤلفُ الكتاب بـ "حقيقتين تاريخيتين"؛ هما أوّلًا: كثرة من اشتغلوا بعلم المنطق في الحضارة العربية الإسلامية من أفذاذ العلماء، وانتشارهم في أصقاع البلاد الإسلامية، وتنوّع أديانهم، وأصناف تخصصاتهم العلمية ونتاجاتهم، تأليفًا وحواشيَ مسهبةً وترجماتٍ ومختصراتٍ وشروحًا وأرجوزات، وثانيًا: إقراره بما لقيه هؤلاء العلماء من مضايقات وتجريح (...) واتهامات وملاحقات. يطرح الكتاب إشكاليةَ البحث، المتمثلةَ بالحيثيات التي رافقت استقبال المسلمين علمًا دخيلًا على العلوم الإسلامية كالمنطق وتعاملهم معه، ومراحل تردده بين الرفض والقبول في البيئة الجديدة، وأوجه الجِدّة لدى العلماء الذي ساهموا في تكريسه لغويًّا (الفارابي وابن سينا) ودينيًّا (الغزالي). وقد دفع "الحضور" الأرسطي لدى مناطقة الشرق الإسلامي الكاتبَ إلى تبيان مساهمة أرسطو - ضمن عناصرَ مساهِمة كثيرة - في تكريس خطاب إسلامي عقلاني جديد، وتشكيل المعالم الكبرى والجزئية لفلسفة هؤلاء المناطقة، التي تعبّر برأيه عن "تواصل" بين الفكرين اليوناني والإسلامي بدلًا مما يُحكى عن الانفصال والقطيعة والطلاق البائن، متجنِّبًا الانحياز إلى أحد طرفي الأزمة، المشنِّعين الذين يقذفون المنطق بشتى التهم، كإثارة الشبهات والباطل والرجم بالغيب من جهة، والقائلين بمادية فيلسوف اليونان وعقلانيته في مقابل لاعقلانية المسلمين وظلامية فكرهم، مع تشديده على تميز خطاب مفكري المشرق ضمن تاريخ الفلسفة المرافِق لهذا التواصل. وقد أتاح الجهد البحثي المبذول الانفتاحَ على أفق منطقي غير مدرسي اتبعته مجموعة من مفكري العالم الإسلامي، في محاولة لتكريس نظرة جديدة إلى التراثين اليوناني والإسلامي، متوسِّلًا لبلوغها كثرة الاستشهاد بنصوص المناطقة المشرقيين التي يُستدعى فيها أرسطو وسيلةً لإثبات حقيقة العلاقة بين الخطابين بطريقة علمية أمينة. (shrink)

ḥeleḳ rishon. Sheʼelot u-teshuvot be-ʻinyanim shonim mi-toratenu ha-ḳedoshah shebi-khetav ṿeshe-be-ʻal peh -- ḥeleḳ sheni. Leḳet mikhtavim u-maʼamarim le-ḥizuḳ ṿe-hitʻorerut ba-ʻavodat ha-Shem yitbarakh -- ḥeleḳ shelishi. Leḳet mikhtavim me-a.m. ṿe-r. ha-Rav Ḥayim Shaʼul z. l.l. h.h. Grainiman baʻal ha-ḥidushim u-veʼurim".

Yemeni writer Ahmed Qāsim al-Arīqī, in addition to his profession as a pharmacist, is a writer who has made a name for himself in the country's literary field, especially in the last fifteen years. A prolific writer, al-Arīqī is the author of poetry collections as well as stories and novels that emphasise awareness of the traditional issues of the Yemeni people. He has published "Maḳāmāt al-'Arīḳī" (2006), "Ġalṭṭetu Ḳalem" (2012), "Qurāt al-S̱-S̱elj" (2017), "Ta'riyya" (2018), "Zurbet al-Yumnā" (2018), "Da'wat al-Ḥuḳūl" (2019), (...) "Zuhr al-Ġarām" and "Sīret al-Kūbī" (2022). His novel "Yawma Māta al-Shaytan" (The Day Satan Died) was published electronically by Hindāwī Publishing House in 2022. The novel, which is approximately 120 pages, is written in six chapters. There are eleven passages in the first and fourth chapters, thirteen in the second and sixth chapters, twelve in the third chapter, and eight in the fifth chapter. The novel is about the adventures of a member of the army named Marwan Naji, who was wounded in the war between the Houthi militia and the Yemeni army, and after nine months in a coma, opens his eyes in a perfect world dominated by biological and technological advances. Symbolising the treatment of selfishness and various narcissisms with advanced vaccines through the death of Satan, the author describes Marwan's adventures in his world, which he sometimes describes as the realm of the jinn, in a very simple language, while not failing to criticise reality in its various political, social and religious dimensions. In fact, Marwan's world of imagination and fantasy is the main story of the novel, but not the only one. The author also includes the stories of family members in Marwan's world of turmoil, destruction, massacre, war and victory, giving the reader the opportunity to compare both worlds. While his mother Gusoun, his wife Hamide and his daughter Fatma, who later got engaged in time after being widowed, are the female characters of his real world, Professor Mari and Mariana, one of his seven wives, are the other important characters of his imaginary world. Gusûn is a devoted mother who does not leave the bedside of her comatose son, prays for him day and night and tries to do everything she can for his recovery. Gusûn, who is listened to at home to a certain extent, scolds her grandchildren to prevent the breakup of her son's home because of inheritance, defends that the existing wealth still belongs to her son and reminds them that she will not hesitate to spend money for his recovery. Gusûn's daughter-in-law Hamide also takes care of her husband, who shows no signs of recovery. Hamide, who is not as patient as her mother-in-law, is also a jealous woman. On the other hand, although both of them display false religious tendencies that have no relation with real life, Gusûn is more prone to the superstitious approaches put forward and adopted in the name of religion. Fatma is also a widow who, although she has the will to take care of her children and live her life alone, has been engaged for a long time to her uncle's son Münir, who, like her, took part in anti-regime demonstrations and whose love she believes in. Fatma, who is more conscious than her grandmother and mother, is not alien to the issues that society complains about and often participates in women's movements organised against the government. Professor Mari, one of the two important characters belonging to Marwan's imaginary world, is a psychologist and the chief physician of a large hospital who treats jealousy, anger, lying and selfishness, which are considered dangerous viruses, with vaccines developed by scientists. Professor Mari, who is personally involved in Marwan's treatment, also chairs the committee that records his memory and projects all his memories on a giant screen. Mariana, on the other hand, monitors Marwan's behaviour and thoughts through a biological chip to control the effect of the vaccines given to him, criticises him through the tragic images projected on the screen and provides information that will facilitate his adaptation to his new world. In the article, in which the author's main published works are briefly introduced along with a broad summary of the novel, the social messages that an author, who is not indifferent to the realities of the geography he lives in, tries to give directly and indirectly with a language far from locality, are tried to be determined through the mentioned female characters. It is seen that the desire to become a single nation by making; love, brotherhood, friendship and peace dominant lies behind the author's novelisation of the dream of an ideal world symbolised by the death of Satan. (shrink)

While training design choices seem amoral, they interact to determine training (in)effectiveness, potentially harming/benefiting trainees and organizations. These moral implications intensify when training is administered at scale (e.g., e-training) and focuses on social issues like sexual harassment (hereafter, SH). In fact, research on SH training shows it can elicit trainees’ gender-based biases against content messengers. We suggest that one such bias, resulting from messenger gender-occupation incongruence and influencing training effectiveness, is lowered perceptions of the messenger’s integrity. We also investigate whether (...) rich media will increase or decrease this perceived integrity penalty. Using an excerpt from real SH e-training and a sample [_N_ = _210_] consistent with the targeted training audience, we conducted a 2 × 2 × 2 relative comparison experiment (messenger gender x messenger occupation x media richness) and tested a moderated mediation model of the interactive effects of messenger gender-occupation incongruence and media richness on trainees’ perceptions of messenger integrity and training outcomes. Results suggest that trainees’ perceptions of messenger integrity decrease when the messenger’s gender is incongruent with their occupation, leading to worse outcomes in text-based training. These effects, however, are mitigated by increased media richness, providing support for media richness theory. Implications for researchers and practitioners are discussed. (shrink)

مختارات من كتاب عيون الأنباء في طبقات الأطباء لموفق الدين أحمد بن خليفة الحكيم الخزرجي، الشهير بابن أبي أصيبعة، وقد كان طبيبا ناجحا، إلا أن شهرته الأساسية تعود لكتابه هذا الذي يعد من أهم مراجع تاريخ الطب عند العرب؛ إذ لم يضع أحد سواه معجما تاريخيا للأطباء، ترجم فيه لما يزيد عن خمسمئة طبيب، وأورد فيه أخبارهم وأشعارهم ونوادرهم، وقد وضع ابن أبي أصيبعة هذا الكتاب لاعتقاده الجازم بأهمية صناعة الطب التي هي عنده من أشرف الصنائع وأربح البضائع، مما يوجب (...) الاعتناء بها وتحصيل قوانينها، ولأنه لم يجد من اعتنى في معرفة طبقات الأطباء وذكر أحوالهم، على الرغم من كثرة المشتغلين فيها،والبارعين بها. (shrink)

Commentary on Quwaysinī's commentary on Akhḍarī's work titled the Sullam al-muawraq on logic.

_ Source: _Volume 54, Issue 2-3, pp 125 - 145 Maimonides’s _Guide for the Perplexed_ had a significant influence on both Jewish and Christian philosophy, although the vast majority of Jewish and Christian readers in the Middle Ages could not read the original Judeo-Arabic text. Instead, they had access to the text through Hebrew and Latin translations. The article focuses on words derived from the root _sh-h-r_ in the original text of Maimonides, first on the understanding of Maimonides himself, where (...) they take on two meanings; the first sense of these words is an adjective that refers to things well-known to the larger public; the second sense is that in which the opinions held by the public are opposed to the intelligibles. Second, while one of Maimonides’ Hebrew translators, Ibn Tibbon, did understand the original meaning of the words in the _Guide_, the other, Alharizi did not; he missed the distinction between rational understanding and generally admitted opinions. This misunderstanding changed the meaning of three important passages of the _Guide_. Finally the mistranslation of Alharizi influenced the medieval philosophers that either read his translation, such as Rabbi Aaron ben Elijah of Nicomedia, or a Latin translation based upon it, such as Meister Eckhart. (shrink)

Faults; religious aspects; Islam; Islamic daʻwah.