Chapter Promising in Law and Morals Promissory and contractual obligations raise many issues of common interest to philosophers and lawyers. ...

Atiyah and Sutcliffe made a number of conjectures about configurations of N distinct points in hyperbolic 3-space, arising from ideas of Berry and Robbins. In this paper we prove all these conjectures, purely geometrically, but we also provide a physical interpretation in terms of Electrons.

This article is based on the transcript of a recording of the author’s Fields Lecture at the World Mathematical Year 2000 Symposium, Toronto, June 7–9, 2000.

Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject. This first volume covers his early (...) and general papers dating back to his first paper written in 1952 whilst being a second-year undergraduate student. (shrink)

Why are mathematicians drawn to art? How do they perceive it? What motivates them to pursue excellence in music or painting? Do they view their art as a conveyance for their mathematics or an escape from it? What are the similarities between mathematical talent and creativity and their artistic equivalents? What are the differences? Can a theatrical play or a visual image capture the beauty and excitement of mathematics? Some of the world's top mathematicians are also accomplished artists: musicians, photographers, (...) painters, dancers, writers, filmmakers. In this volume, they share some of their work and reflect on the roles that mathematics and art have played in their lives. They write about creativity, communication, making connections, negotiating successes and failures, and navigating the vastly different professional worlds of art and mathematics. (shrink)

Pakatan Harapan won the 14thGeneral Election held in May, 2018 in Malaysia. PH thus ended sixty-one years rule of Barisan Nasional.While the slogan of Malaysia Bahru, indicating changes to come in the country, became a popular slogan, one thing remained constant. This was the number of women contesting the GE-14 as candidates and the number of them who were elected was much less than the number of men contesting and getting elected in GE-14 although women represented slightly more than 50% (...) of the total registered voters in that election. The main objective of this paper is to examine the main factors that influenced the female voters in GE-14. Two states in the northern Malaysia were selected with 200 eligible female voters. They were clustered and conveniently sampled and were given self-administered questionnaires. Demographic variables were cross-tabbed while asking the women which factors had influenced their votes. The findings show that majority of the female voters were influenced by the candidates’ social background. Younger women were very concerned with the issues directly affecting them. Significantly, preference for political party was of least interest to them while voting. While the majority of women voters from the three main ethnic groups supported more women to be nominated as candidates in elections, the Malay women showed the highest level of disagreement on that matter as compared to the rest. The study also shows that majority of the female voters, whether young or old, rural or urban, use social media as the main and the most trusted source of news on election. These findings have concluded that, their demographic background interplayed with each other constructing their voting preferences. Female voters are crucial and each contesting parties need to pay closer attention to the women’s concerns in order to secure their votes. (shrink)

Contents: LEGAL THEORY 1. Reflections on law in context / William Twining -- 2. Are omissions less culpable? / Tony Honore -- 3. Scandinavian legal realism in the law of contract / Jan Hellner -- 4. Statutes and contracts as founts of formal reasoning / Robert S. Summers -- 5. Conceptions of public policy / John Bell LEGAL HISTORY 6. Aftermath / Paul D. Carrington -- 7. The role of the judiciary: lessons from the end of empire / Robert Stevens (...) -- 8. The Origins of futures trading in the Liverpool Cotton Market COMMON LAW 9.payment undertakings / Roy Goode -- 10. Pre-contractual duties of disclosure / S.M. Waddams -- 11. Three problems with the new product liability / Jane Stapleton -- 12. Evaluating the goals of personal injury law: some empirical evidence / Donald Harris -- 13. Negligence and economic loss / John Dwyer -- 14. Libel and constitutional free speech / John Fleming -- 15. The basis of tortious liability / Peter Cane. (shrink)

This work is a controversial collection of interrelated papers investigating and arguing about issues of concern to lawyers and politicians today. MacCormick combines a scholarly concern with leading thinkers such as John Locke, Lord Stair, Adam Smith and David Hume, John Rawls, Ronald Dworkin, and Patrick Atiyah, and stringently argued view of questions of political obligation, civil liberty, and legal rights.

William Vitek enlarges our understanding by treating the act of promising as a social practice and complex human experience. Citing engaging examples of promises made in everyday life, in extraordinary circumstances, and in literary works, Vitek grapples with the central paradox of promising: that human beings can intend a future to which they are largely blind. _Promising_ evaluates contemporary approaches to the topic by such philosophers as John Rawls, John Searle, Henry Sidgwick, P.S. Atiyah, and Michael Robbins but transcend their (...) more limited focus on promissory obligation. Vitek's innovative approach moves beyond theories of language, ethics, and law to unveil a complex human activity subject to shifting interpretations and changes in nature. (shrink)

The traditions about isrāʾīliyyāt that were seen almost in all the types of Islamic sciences appeared in the sources of tafsīr from early periods. These traditions that were generally used to explain the Qurʾān were seen problem and critisized by some exegetical specialists. Even though corresponding to a relative later period in the classical era, an approach was tried to put forward in view of the traditions about isrāʾīliyyāt. This methodological concern for isrāʾīliyyāt in classical period has increased and been (...) influential for many researchers from east and west to work on this issue in modern times. There has been reached to important results about the issues of the definition of isrāʾīliyyāt, the source of it, its spread in Islamic sciences, its aim of usage, the progress of these positive-negative attitudes against these traditions in historical process. But it is important to discuss some evaluations and analysis again that put forward in this process when different cases about the issue are taken into consideration. According to this, a series of problem, such as how the isrāʾīliyyāt can be defined in tafsīr, when the criticism of isrāʾīliyyāt started, whether Biqāʿī was the first exegete who made reference to Bible or not will be discussed considering relevant resources in this article.Summary: Since the early periods, isrā’īliyyāt narratives were used as a source of information in tafsīrs. These narratives, which are transmitted in various tafsīrs of the Qur’ān, one of the main sources of Islamic religion, have also taken the methodological interests of some exegete since the early periods. This interest continued in the modern period, and both Western and Eastern researchers made research on isrā’īliyyāt. Some of the findings, analyses, and claims available in researches on this subject will be reexamined in this article. The first of these is the problem of the definition of isrā’īliyyāt. In contemporary research, inclusive definitions are made for isrā’īliyyāt, seen in all sources. These definitions do not allow for a refined description of isrā’īliyyāt which is handled in terms of different intentions in the sources of each different field and which varies in terms of the issues it covers, leading to the underestimation of some of its aspects in relevant fields. In the definitions, it is stated that isrā’īliyyāt is mostly learned from the Ahl al-Kitāb, (the People of the Book) it became widespread along with Islām and it included narratives about caliphs, dynasties, and Mahdī, as well. Another issue is to be emphasized that they are fictive or mythological. In classical tafsīrs, isrā’īliyyāt is observed to be related mainly with the history of the Ahl al-Kitāb or with the subjects they know about. In the modern era, the narratives about the ancestors of the Arabs have been identified as isrā’īliyyāt. If some of the isrā’īliyyāt narratives are related to the history of Arabs, then their resource should be the historical-cultural memory of Arabs. However, as almost all Qur’ānic stories were somewhat known before the revelation period and relations with the Ahl al-Kitāb dated back to times long before the Islamic period, the claim that these narratives became widespread along with Islām should be revised. It is also problematic to emphasize the legendary nature of some of the isrā’īliyyāt and to make that as a reason to reject all. Such emphasis also leads to the underestimation of the functions of narratives in tafsīrs. In isrā’īliyyāt, tafsīr was used for i) interpreting the ambiguous words in the stories, ii) to bring evidence to the Ahl al-Kitāb, and ii) tarhīb-targhīb (encouragement-warning). These narratives can be used as a source in tafsīr unless they are explicitly falsified by the data of fields such as history, history of religions and archaeology as well as the Qur’ān and the true Sunnah. The first criticisms of isrā’īliyyāt are claimed to belong to exegete like Ibn al-‘Arabī (d. 543/148) or Ibn ‘Aṭīyah (d. 541/1147). However, criticism of isrā’īliyyāt is also observed in the tafsīrs of earlier exegete, such as al-Māturīdī (d. 333/944), al-Māwardī (d. 450/1058) or al-Ṭūsī (d. 460/1067). They do not necessarily have to use the term isrā’īliyyāt explicitly in their criticism like the later ones. If the narratives they criticize and the reasons for their criticism are the same as those of the later exegete, it will be necessary to date the criticism of isrā’īliyyāt back to the 4th Century of the Hegira. The understanding that "the expression in the story is sufficient, it is unnecessary to deal with the ambiguities; instead, it is necessary to deal with the lesson and wisdom in the story" is one of the criteria that Muḥammad ‘Abduh (d. 1905), who is deemed to be the pioneer of the strict criticism of isrā’īliyyāt in the modern period, took as basis in this criticism, is valid for the exegete of the classical period, as well. Although exegete, such as al-Ṭabarī (d. 310/923), al-Māturīdī, al-Rāzī (d. 606/1210), and Abū Ḥayyān (d. 745/1344) who had this understanding, gave place to isrā’īliyyāt, these people recognized that "these narratives were not final, binding or necessary”, indeed. The understanding that such expression in the story is sufficient, which is one of the reasons for such awareness in the classical period, seems to have turned into a strict rejection in the modern period. Another issue is the claim that Biqā‘ī (d. 885/1480) was the first exegete to systematically benefit from the Bible in tafsīr in the classical period. However, al-Daylamī (d. 593/1197) before Biqā‘ī, is also observed to have used the Old Testament systematically in tafsīr. He cited the Tanakh in his period in two ways. He either directly quoted from the translation of Tanakh or the Hebrew text written in Arabic letters. Another exegete who used the Tanakh as a source in his tafsīr was al-Ṣafadī (d. 696/1296). He enriched his tafsīr with systematic quotations from the Tanakh. Therefore, the use of the Bible as a source of interpretation in the classical period should not be started with Biqā‘ī. The reason why the pioneer exegete of the classical period did not directly use the Bible is claimed to be the fact that they falsified it and deemed the isrā’īliyyāt narrated from the predecessors to be more reliable. However, it is known that a significant portion of the isrā’īliyyāt, which was orally transferred from the predecessors, is based on written sources, particularly including the apocryphal texts. So just like the Bible, isrā’īliyyāt, which was orally transferred from the predecessors, is problematic in terms of authenticity. This allows us to argue that classical exegete have an inconsistent attitude, indeed. On the other hand, when we take into account the fact that classical exegetes criticize these narratives from time to time and believe that they are not final or binding, the problem of potential inconsistency disappears. Accordingly, they did not deem chain transmission of these narratives from the predecessors by reliable transmitters to be a sufficient reason for their acceptance and adoption for good and all. (shrink)

In 1908, Henri Poincar? claimed that: ...the mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a mathematical law, just as experimental facts lead us to the knowledge of a physical law. They are those which reveal to us unsuspected kinship between other facts, long known, but wrongly believed to be strangers to one another. Towards the end of the twentieth century, with many more mathematical (...) facts since discovered, several mathematicians proposed overarching schemes to organise the facts they considered most significant. In this paper, I shall briefly discuss three of these schemes (those of Arnold, Atiyah, and Baez and Dolan), before drawing some philosophical consequences from their attempts. Rather than the kind of claim made by Frege that with the entry of imaginary numbers we reach the ?natural end of the domain of numbers?, we are dealing here with a more open-ended sense of conceptual growth. I shall illustrate this theme by discussing the elaboration of algebraic structures designed to measure symmetry. What emerges is that at any one time mathematicians are operating with a notion very similar to that discussed in the philosophy of science under the heading of ?natural kinds?. We find ?quasi-causal? talk of properties being ?responsible? for a phenomenon, projectability, the transfer of robust mechanisms between domains, and reference to entities not yet fully determined. Debates in philosophy of science prompt further questioning as to the ?naturalness? of these mathematical kinds, whether one should expect them to be dependent on varying human interests, whether there is a distinction between artefactual and real kinds, and whether there is convergence of kinds. I believe that these questions present a wonderful opportunity for a philosophy of mathematics to treat ?real? mathematics, while making powerful points of contact with philosophy of science, and philosophy in general. (shrink)

This collection of essays, published to coincide with Tony Honore's sixty-fifth birthday, focuses on the areas where Honore's thought has made the most significant contribution: Roman law and jurisprudence. Included are essays by P.S. Atiyah, Zenon Bankowski, John Bell, Peter Birks, John W. Cairs, Hugh Collins, David Daube, W. M. Gordon, J. W. Harris Nicola Lacey, A. D. E. Lewis, Detlef Liebs, G. D. MacCormack, Neil MacCormick, G. Maher, Pieter Norr, Alan Rodger, and Peter Stein.