We give foundational results for the model theory of AfinK, the ring of finite adeles over a number field, construed as a restricted product of local fields. In contrast to Weispfenning we work in the language of ring theory, and various sortings interpretable therein. In particular we give a systematic treatment of the product valuation and the valuation monoid. Deeper results are given for the adelic version of Krasner's hyperfields, relating them to the Basarab–Kuhlmann formalism.

Prioritization of activities is a multicriteria problem that includes both quantitative and qualitative factors. Moreover, due to the nature of organizations and activities, the impact of activities on each other is fuzzy. Prioritizing activities in real and fuzzy situations will help an organization’s decision makers to make the right decisions. In this paper, a new fuzzy hybrid methodology is proposed to describe and prioritize the activities of the organization in fuzzy conditions. First, the activities of the organization are described in (...) a new fuzzy format based on activity model of the C4ISR framework. Furthermore, fuzzy DEMATEL is used to calculate the interdependencies between activities, and then fuzzy ANP is used to calculate the weight of each activity. Finally, by combining the results of the two methods, the priority of activities was calculated. Additionally, an empirical study is presented to illustrate the application of the proposed method. (shrink)

Recent research into cultural transmission suggests that humans are disposed to learn, remember, and transmit certain types of information more easily than others, and that any information that is passed between people will be subjected to cognitive selective pressures that alter the content and structure so as to make it maximally transmittable. This paper presents a review of emerging research on content biases in cultural evolution with relevance to the transmission of popular narratives. This is illustrated with content analysis of (...) urban legends, which found that most exploited at least one known content bias, with emotional information and social information being the most frequent. We argue that the narratives do not succeed because of the transmission of adaptively relevant information but because of their exploitation of content biases in human cognition. (shrink)

The paper focuses on the trajectory of involvement of the ancient Greek philosophers, up to Callisthenes and Clearchus, in the competition of the two greatest oracles, the Delphic and the Didymian (Branchidae), on the one hand, and in the ideology of colonization of the East, on the other. While the pre-Socratic Milesian philosophers were close to the Branchidae, Plato and Aristotle supported Delphi and the Delphic Apollo-Dionysian syncretism. I examine how theoriginal interpretation of the famous Delphic maxim 'Know Yourself related (...) to political issues, e.g. implementation of the Platonic and Aristotelian political Utopias, and how after Alexander this interpretation lost its value. I conclude that from the very dawn, philosophy has been neither the first nor the last comer to the stage of world affairs, but already is inside them, acting as a creative intermediary within such problem-producing domains as politics and religion. (shrink)

There is considerable scope for developing a more explicit role for ethnography within the research program proposed in the article. Ethnographic studies of cultural micro-evolution would complement experimental approaches by providing insights into the “natural” settings in which cultural behaviours occur. Ethnography can also contribute to the study of cultural macro-evolution by shedding light on the conditions that generate and maintain cultural lineages. (Published Online November 9 2006).

We give a definition, in the ring language, of Zp inside Qp and of Fp[[t]] inside Fp), which works uniformly for all p and all finite field extensions of these fields, and in many other Henselian valued fields as well. The formula can be taken existential-universal in the ring language, and in fact existential in a modification of the language of Macintyre. Furthermore, we show the negative result that in the language of rings there does not exist a uniform definition (...) by an existential formula and neither by a universal formula for the valuation rings of all the finite extensions of a given Henselian valued field. We also show that there is no existential formula of the ring language defining Zp inside Qp uniformly for all p. For any fixed finite extension of Qp, we give an existential formula and a universal formula in the ring language which define the valuation ring. (shrink)

We experimentally investigated the influence of context-based biases, such as prestige and popularity, on the preferences for quotations. Participants were presented with random quotes associated to famous or unknown authors, or with random quotes presented as popular, i.e. chosen by many previous participants, or unpopular. To exclude effects related to the content of the quotations, all participants were subsequently presented with the same quotations, again associated to famous and unknown authors, or presented as popular or unpopular. Overall, our results showed (...) that context-based biases had no, or limited, effect in determining participants’ choices. Quotations preferred for their content were preferred in general, despite the contextual cues to which they were associated. We conclude discussing how our results fit with the well-known phenomenon of the spread and success of misattributed quotations, and we draw some more general implications for cultural evolution research. (shrink)

The paper focuses on the trajectory of involvement of the ancient Greek philosophers, up to Callisthenes and Clearchus, in the competition of the two greatest oracles, the Delphic and the Didymian (Branchidae), on the one hand, and in the ideology of colonization of the East, on the other. While the pre-Socratic Milesian philosophers were close to the Branchidae, Plato and Aristotle supported Delphi and the Delphic Apollo-Dionysian syncretism. I examine how theoriginal interpretation of the famous Delphic maxim 'Know Yourself related (...) to political issues, e.g. implementation of the Platonic and Aristotelian political Utopias, and how after Alexander this interpretation lost its value. I conclude that from the very dawn, philosophy has been neither the first nor the last comer to the stage of world affairs, but already is inside them, acting as a creative intermediary within such problem-producing domains as politics and religion. (shrink)

Grown up as versatile people, Ottoman intellectuals had holistic views towards science, art and literature, and wrote in a variety of disciplines. It was not uncommon for a mathematician to write in philosophy, for a ḥadīth (report of the words and deeds of the Prophet) scholar to write history books, for a statesman to be busy with calligraphy or for a Shaykh al-Islām (the highest ranking Islamic legal authority) to have a “Dīwān” (a collection of poems). However, possibly due to (...) specialization-based scientific understanding of modern researchers, one side of these people generally came to the fore and some capabilities of them remained unknown. Grown up in Istanbul, capital town of Ottoman Empire, in late 16th and early 17th centuries, Okchuzāde Mehmed Shāhī was also one of these personalities called “hezār-fan” (polymath). Mehmed Shāhī served in top level offices of the State, was busy with art and literature, and became known for inshāʾ (composition) kind of works written with elaborate prose. Mehmed Shāhī earned a deserved fame with these capabilities and he was also a poet. Indeed, due to poems he wrote in his early ages, he was noticed by some biography writers about poets and his poems were mentioned in some anthologies. In addition to poetry anthologies, he had some classical works, and some couplets, quatrains and verses included in his prose works. In the present study, a collection and evaluation of poems by Mehmed Shāhī were presented.Summary: Ottoman statesman Okchuzāde Mehmed Shāhī was born in 1562 AD (970 AH) in Istanbul. He was son of Okchuzāde Mehmed Pasha (d. 995 AH/1587 AD) and served as Kātib (scribe), Defterdār (treasurer), Reīs-ul-kuttāb (chief of the scribes), Governor General of Cyprus and Aleppo. His real name was Mehmed, but he was mentioned in different sources by names such as Mehmed Bey, Mehmed Shāh, Mehmed Shāhī, Mir Mehmed Shāhī and Okchuzāde Mehmed Shāhī. Starting at a young age, he was well educated in madrasah (college). With his vibrant character and superior genius, he came to the forefront among his peers. He was educated under the supervision of Māʿlūlzāde Nakīb Efendi (d. 993 AH/1585 AD) and graduated in 988 AH/1580 AD at the age of 18. When Nakīb Efendi became Shaykh al-Islām in the same year, he started his official duty as Dīwān-ı Humāyūn (imperial council) secretary. With the duty of Executive Assistant, he became the secretary of Damad İbrahim Pasha who started to his office in 1004 AH/1596 AD. He worked under the patronage of the Pasha until Pasha’s death in 1010 AH/1601 AD. Mehmed Shāhī succeeded Musa Chelebi as Reīs-ul-kuttāb and Basdefterdar (chief treasurer) in 1005 AH/1596 AD, and was appointed as title deed and cadastre director in 1006 AH/1597 AD. However, he was dismissed from this duty and was included among the officials to join military campaign. He was prosecuted and tried for imprisonment for the accusation of coming to Istanbul without permission. He succeeded Hamza Pasha as Nishanci (high-ranking bureaucrat) in 1007 AH/1599 AD and was assigned to military campaign. Mehmed Shāhī was dismissed from his duty in 1008 AH/1600 AD. Although he was reappointed to his duty in the same year, he was dismissed again in 1010 AH/1601 AD. While Hamza Pasha was reappointed to his office, Mehmed Shāhī was not assigned to any duty. He succeeded Murad Efendi as the Defterdar of Egypt in 1013 AH/1605 AD. After this duty, one of the vassal Sanjak (administrative district) Beyliks (principalities) in Egypt was given to him. When vassal Sanjak Beyliks were abolished by Kara Mehmed Pasha, Beylerbeyi (governor) of Egypt, in 1016 AH/1608 AD, he returned to Istanbul. He was not appointed to an office for a long time. In 1029 AH/1620 AD, he was appointed as title deed and cadastre director in 1029 AH/1620 AD, and became Nishanci again in 1030 AH/1621 AD. He served in military campaign to Poland, but was dismissed from this duty during the campaign. He was appointed as Nishanci for the fifth time during the second reign of Sultan Mustafa (1622-1623). He was dismissed in 1033 AH/1624 AD and retired. In early 1039 AH/1630 AD, he died at the age of 69 in Istanbul. His tomb is near Ekmekchioghlu tomb in the vicinity of Sunbul Efendi.What is known about his family is limited to his son named Vakʿi Ahmed Efendi (d. 1060 AH/1650 AD). Ahmet Efendi learned Naskh, Thuluth and tevkīʿi types of calligraphy styles from his father. He served as anthology writer for Shaykh al-Islām Bahāī Efendi. He died in 1060 AH/1650 AD when he was serving as teacher in Sulaymaniyah Madrasah. His tomb is around Shaykh Vefa tomb.In addition to his administrative duties, Mehmed Shāhī was also interested in poetry, prose, calligraphy, mysticism, ḥadīth and tafsīr (exegesis). Possibly also due to his dismissal of duties many times in his life, he produced many works. Among them are Aḥsan al-ḥadīth, an-Naẓm al-mubīn fī āyāt al-erbaʿīn, al-Maqām al-Maḥmūd, Tarjuma-i Tuḥfa as-ṣalavāt, Jāmiʿ al-ghāyāt, Mukhtār al-akhyār, Qānūn-i Jadīd-i Arāḍi, Munsheat ve Dīwān. Famed for his prose works, the author was also a poet. With his couplets which he wrote under pseudonym of Zaynī, he managed to get on the anthology of Kınalızāde at his twenties. He was celebrated with the expression of “Arrow of word from his bow of soul has reached the target of approval from masters; he is at a young age (at his twenties)”. Subsequently adopting pseudonym of Shāhī, the poet had some poems published within the works of Beyānī, Nevʿizāde and Mustaqimzāde as well as within his own prose works. Mustaqimzāde even mentioned that Mehmed Shāhī had a dīwān. Nevertheless, this work of him has not been found yet. A total of 30 poetry works of Mehmed Shāhī were found in various sources, except for his translations of 40 ḥadīth and 40 Qur’ān verses written in poetry. Of his 30 poetry works, 26 were written in Turkish and 4 in Persian. Various sections of ʿarūḍ (meter) were used in these works written as couplets, quatrains and verses. It could be stated that his poems rich in Persian and Arabic words had a rich rhyme frame. In his poetry works in which religious, literary, historical, legendary and mysticism themes were worked, concepts and figures such as Allah, the Lord, Messiah, Messenger, Risālet (messengership), intercession, Kāfūr al-Ikhshīdī (966-968), Mustaʿsim (d. 656 AH/1258 AD), Ibn Alkamī (d. 656 AH/1258 AD), Naṣīr-i Tūsī (d. 672 AH/1274 AD), Jamshīd, Keyumars, Uftade, Hudāyī, Majūsī, Kizilbash, Bayramī and muftī (jurist capable of giving a formal legal opinion). His poems were about intercession demand from the Messenger (PBUH), sin of serving to Persian, importance of an invention, praise of Uftade Sultan (d. 988 AH/1580 AD), effect of prayer, fate of administrator favoring his relatives, futility of envying the rich, importance of fighting with Zoroastrian, benefits of exhibition of sorrow, value of skillful people, resembling of the world to a bride with a thousand grooms, beauty of eloquence, ignominy of leaving chastity for lust, asking for forgiveness for sins, talent of understanding the words, not giving quarter to enemies, praise of Hz.ʿUmar, humbleness, value of lack of worldly things, sufferance due to the beauty of the beautiful, needing not to wonder why the beloved one is far away, evil of protecting the snot, richness of Arabic language, deeds of Anatolian fāḍils (virtuous), importance of endeavor in succeeding the closeness to God and respectability of ʿAzīz Maḥmūd Hudāyī (d. 1038 AH/1628 AD). Okchuzāde Mehmed Shāhī was an Ottoman statesman who also earned a well-deserved fame for his works written in inshāʾ (composition) genre of elaborate prose. In addition, he also had poetry works. Praised for the poems which he wrote in his early ages by anthology writers who included his poems in their anthologies, the poet also had some couplets and quatrains scattered among his own prose works. His poems in the form of couplets and quatrains within abovementioned works mostly were about religious, literary, legendary, historical and mysticism themes.Mehmed Shāhī was knowledgeable in tafsīr, ḥadīth, mysticism and calligraphy, and had good levels of Arabic and Persian. Writing poems in Persian, Mehmed Shāhī was decorated his prose works with Arabic expressions such as Qur’ān verses, ḥadīths and proverbs. It could be stated that such decorations made the language of his poems more difficult. Nevertheless, his poems are plainer and easier compared to his prose works. The poet who also had lyrical poems generally preferred ḥikamī (sapiential) style and wrote genres such as munacaat (prayer to God), shafaatnāme (intercession epistles), historical quatrain, medhiye (panegyric) and hicviye (epigram). His poems in anthologies were lyrical, those in Aḥsan al-ḥadīth and an-Naẓm al-mubīn were didactical and those in Munsheat were epic. Based on an evaluation of these poems, it could be stated that he was a poet with a style, though not a poet of first class. (shrink)

This paper presents an edition of al-Hasan ibn al-asan ibn al-Haytham's treatise, Qawl fi samt al-qibla bi-al-isāb with translation and commentary. In it Ibn al-Haytham provides a universal method for finding the direction of the qibla at any location on the surface of the earth by using spherical trigonometry and accurate calculation. Ibn al-Haytham's computational solution has not been studied before, and it has often been confused with another work of his in which he uses an analemma construction to solve (...) the problem of the qibla graphically. As a result of this confusion, contemporary scholars have mistakenly attributed the first universal solution of the qibla problem to Jamshīd al-Kāshī, some four centuries after the introduction of this method by Ibn al-Haytham. The present treatise represents an important juncture in the history of the development of mathematics of the qibla, and sheds more light on the contributions of one of the most important scientists of medieval Islam. (shrink)