This book offers a unified treatment of selected topics in the theory of financial markets. Starting with discrete time models, Dothan introduces discrete time stochastic calculus and discrete martingale methods of intuitive simplicity to characterize attainability, completeness, pricing, and the relationship between risk and return in financial markets. Subsequently, he uses the intuition developed in conjunction with the discrete time theory to introduce continuous time calculus for continuous, jump, and mixed continuous-jump processes, and to deal with attainability, completeness, pricing, (...) and the relationship between risk and return in general continuous time models. Throughout, the exposition of the continuous time theory emphasizes the analogies between discrete time and continuous time methods and results. The book includes many examples, applications to the pricing of options and other derivative securities, and an extensive discussion of the Black-Scholes model and its most general theoretical extension. (shrink)

The transformers that drive chatbots and other AI systems constitute large language models (LLMs). These are currently the focus of a lively discussion in both the scientific literature and the popular media. This discussion ranges from hyperbolic claims that attribute general intelligence and sentience to LLMs, to the skeptical view that these devices are no more than “stochastic parrots”. I present an overview of some of the weak arguments that have been presented against LLMs, and I consider several of the (...) more compelling criticisms of these devices. The former significantly underestimate the capacity of transformers to achieve subtle inductive inferences required for high levels of performance on complex, cognitively significant tasks. In some instances, these arguments misconstrue the nature of deep learning. The latter criticisms identify significant limitations in the way in which transformers learn and represent patterns in data. They also point out important differences between the procedures through which deep neural networks and humans acquire knowledge of natural language. It is necessary to look carefully at both sets of arguments in order to achieve a balanced assessment of the potential and the limitations of LLMs. (shrink)

Was Maimonides a radical philosopher who subtly argued for a naturalist world and who saw the obligation to keep the Torah's commandments as a social and moral obligation - or was he a conservative Jewish believer who only tried to formulate philosophical arguments in favour of a revealed religion? This question has been central to the interpretation of Maimonides from the 12th century until modern times. In the four chapters of this book, Shalom Sadik argues for a radical philosophical (...) interpretation of Maimonides. (shrink)

The application of deep learning methods to problems in natural language processing has generated significant progress across a wide range of natural language processing tasks. For some of these applications, deep learning models now approach or surpass human performance. While the success of this approach has transformed the engineering methods of machine learning in artificial intelligence, the significance of these achievements for the modelling of human learning and representation remains unclear. Deep Learning and Linguistic Representation looks at the application of (...) a variety of deep learning systems to several cognitively interesting NLP tasks. It also considers the extent to which this work illuminates our understanding of the way in which humans acquire and represent linguistic knowledge. Key Features: combines an introduction to deep learning in AI and NLP with current research on Deep Neural Networks in computational linguistics. is self-contained and suitable for teaching in computer science, AI, and cognitive science courses; it does not assume extensive technical training in these areas. provides a compact guide to work on state of the art systems that are producing a revolution across a range of difficult natural language tasks. (shrink)

Toldot adam 3 -- Bet ha-midot -- Sheʼelot u-teshuvot.

Studies in Abraham Joshua Heschel's Oeuvre.

This discussion of Jewish philosophy, covers the complex issue of good and evil in the context of classical Jewish thought.

This commentary discusses the relation between Grodzinsky's target article and Friederici's (1995) model of syntactic processing. The two models can be made more compatible if it is assumed that people with Broca's aphasia have a problem in trace construction rather than trace deletion, and that the process of trace construction takes place during the second early syntactic substage of Friederici's model.

The paper suggests a novel methodology for determining the state of legal doctrine on a particular issue by legal scholars. This methodology is inspired by the philosophical field of phenomenology. In particular, the tool of eidetic reduction developed by Edmund Husserl is applied to reach inter-subjectively valid assessments of doctrine. The methodology developed here argues that scholars who wish to discover legal doctrine on a particular issue need to first define general paradigms that explain the relevant legal field. Then, they (...) should develop a hypothesis about the law on the particular issue that concurs with the essential qualities of all these paradigms. Finally, to determine if a hypothesis about the content of the law should be accepted or rejected, it must be checked against legal sources that often include judgments. Reasoning by analogy should be used to learn from judgments with the same policy implications as the doctrine suggested by the hypothesis. The paper offers several heuristics—demonstrated with examples from international law—that can be used to find judgments that have the same policy implications without determining conclusively what these implications are. (shrink)

International courts strive to enhance their legitimacy, that is, they would like the members of the international community to perceive their judgments as just, correct and unbiased even if they do not agree with their specific content. This Article argues that international courts take into account the actors they interact with, the norms they apply, and the conditions they operate under as they try to enhance their legitimacy. It demonstrates strategic behavior towards that end in the judgments of two prominent (...) international courts - the International Court of Justice and the European Court of Human Rights. International courts interact with states under their jurisdiction and with their national courts. International courts try to preserve their legitimacy vis-à-vis states; at the same time, they want to signal that states will comply with them even if they issue judgments states disagree with. International courts can cooperate with national courts and gain legitimacy from interacting with legitimate national courts. The norms that international courts apply constrain their ability to maneuver their judgments in ways that can help their legitimacy, but at the same time help legitimize their judgments. International courts use various tactics to shape their reasoning in order to improve their legitimacy. The behavior of international courts is scrutinized by the domestic public within each state. That public has certain agendas, priorities and preferences. The domestic public’s agenda is a condition that the court must respond to, but sometimes courts can also shape that agenda to their benefit. (shrink)

Following participation in Dr. Yair Caspi’s “Psychology in Judaism” workshop, the writers contemplate whether the teaching of Caspi’s model in academic settings could become simultaneously a fresh addition to interdisciplinary approaches to the teaching of Judaism in Israeli Academic life, and an academic addition to the contemporary trend to Jewish renewal in Israeli society. The model is based on weekly facilitated workshops in which participants both reflect on and discuss their lives and also explore unique interpretations of Jewish texts and (...) ideas, constantly seeking the borderline where their lives inform the text and vice versa. The process leads to the re-enchantment of ancient Jewish concepts, the reinvention of the Jewish religious experience in a contemporary paradigm and idiom, and the possibility of deep transformative insight. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reply to Russell's letter of 16 May 1960 by Albert Shalom EDITORIAL NOTE To illustrate a list ofrecent acquisitions in Russell (Summer 1981), we printed in facsimile Russell's letter of 16 May 1960 to Professor Albert Shalom concerning the interpretation of Wittgenstein's Tractatus LogicoPhilosophicus. The correspondence between Russell and Shalom began when Shalom wrote on I May 1960 asking whether Russell had the time and (...) inclination to read a translation of a lecture which Shalom had given the previous December in Paris. The paper was entitled "The Metaphysical Thinking Underlying Wittgenstein's Tractatus". Shalom had received "different and even contradictory appraisals" of his paper, and he very much wanted to have Russell's opinion of it. Close to the age ofninety, Russell was entering a hectic period in his life in which he worked assiduouslyfor the Campaign for Nuclear Disarmament. He had published three books in 1959 and had produced prefaces and introductions for other people. As usual, he was besieged with mail including numerous requests to read unsolicited manuscripts sent to him quite regularly. Yet he had managed to answer correspondence in a very personal way. In November 1959, he had been involved in a controversy regarding the refusal ofthe editor of Mind to review Ernest Gellner's Words and Things, a book which attacked the then prevalent philosophy of linguistic analysis and for which Russell had written the introduction. In the early months of1960, he took time out from his usual writing on the nuclear threat to reply to several articles devoted to his theory of descriptions and his ethical theory in the journal Philosophy. Russell's reply (4 May 1960) to Shalom's first letter states: "Thank you for your letter ofMay I. I shall be interested to see your paper on Wittgenstein's Tractatus, but, as I am very busy, it may be some time before I can read it carefully." On 8 May Shalom wrote back in appreciation enclosing his paper and an offprint of an article, "Qu'est-ce qu'un concept?", Revue internationale dephilosophie, 50 (1959): I-IS. The main objection raised against his paper, Shalom admitted, was that Wittgenstein was not concerned with problems of epistemology at the time of his writing the Tractatus. Nonetheless, Shalom felt that the "picture theory" of reality implies an epistemology, and he was unable to see a fallacy in his paper: "Perhaps the fact that I'm not a logician has something to do with the matter. Ifyou could enlighten me on this point I should be most grateful to you." 45 28th April 1982. 46 Russell winter 1982-83 Russell's letter of 16 May followed. On 25 May Shalom challenged Russell's interpretation. Far /rom underestimating the notion of structure, Shalom claimed that he had emphasized the notion as the key to understanding the Tractatus. "In fact, my main point is that Wittgenstein's analyses of various concepts are unintelligible unless understood as arguments in terms of the dominating idea ofstructure or form. And that is what I understand as a metaphysical argument." Shalom went on to say that his interest in any philosopher was to try to discover the chief concepts employed in the philosopher's analysis and to examine the manner in which the analysis was performed. For this reason, the later Wittgenstein was not devoid ofinterest. In a postscript, he asked Russell whether he would be in London in July ofthat year, and ifso, whether a meeting was possible. Russell replied on 18June as follows: "Thank you for your letter ofMay 25. I am sorry that at present my time and thought are so occupied with matters very remote from those with whichyour letter deals that I cannot offeryou a reasoned reply. Unfortunately, I do not expect to be in London in July so that I am afraid a meeting will hardly be possible." On 14 Shalom requested the return of his paper, and Russell complied on 19 July. Shalom is now Professor ofPhilosophy at McMaster. We invited him to comment on his exchange with Russell, particularly Russell's letter of16 May 1960. His comments take the form ofa further (and no doubtfinal) letter in the exchange.-Carl... (shrink)

Do innocent civilians who will be killed in a justified attack on a nearby military target have a right to defend themselves by shooting down the bomber pilot? I argue that they do not, and that Jeff McMahan's view that they do have such a right—that there is a moral equivalence between pilot and civilian—is flawed in much the same way that Michael Walzer's moral equivalence of combatants—a position that McMahan has so persuasively refuted—is flawed.

To single out "time" or "temporality" as the most important concept within a philosophical framework attempting to delineate "reality" immediately raises the question of how to situate temporality itself. I will distinguish only two ways of situating time, because they both appear to be simple and straightforward, and because they establish a sufficient framework for the incipient theory I propose briefly elaborating. On the one hand, temporality can certainly be situated in terms of cosmological and biological evolution. And on the (...) other hand, it is certainly the case that temporality has been situated in terms of the evolution of mind or of the development of consciousness. It is of interest to note that these two ways of situating time are analogous to the two sides of what is frequently called "the body/mind problem," and they seem to carry analogous implications. (shrink)

FOR THE PURPOSES of this paper, I will interpret the word "culture" to refer, at its most basic level, to the fundamental categories in terms of which the peoples of that culture spontaneously express their most basic presuppositions. These fundamental categories, or basic presuppositions, designate the specific ways of conceiving reality which are expressed by the sense of the categories themselves. From the standpoint adopted here, they are not to be regarded as impositions of something called "the mind": neither in (...) the form of Kantian a priori categories, nor in the form of Collingwoodian "absolute" presuppositions. They do not form internally coherent "tables" of categories or "constellations" of absolute presuppositions. They constitute contingent ways of trying to understand the complexities of reality, and they are, themselves, a function of that reality of which they constitute a variety of interpretations. And the significant point to underline is that it is precisely when certain fundamental categories of this sort show themselves increasingly, and with increasing urgency, to be mutually incompatible that the stage is set for the necessary emergence of a new orientation in the history of human thinking--an orientation which constitutes an overcoming of the strongly felt incompatibility between whatever fundamental presuppositions are in question. (shrink)

THE fundamental metaphysical problem concerning any and all organisms capable of subjective experience is the problem of explaining the source and nature of subjectivity itself. Not many solutions have been proposed, but it is important to recognize from the start that every solution which has been proposed has depended on a framework consisting of relatively few fundamental concepts and that it is these fundamental concepts which have served to define both the problem and the solution proposed.

This book explores what motivates net-generation community college students to complete their degrees. By emphasizing relationships, personal growth, and support systems, the author’s research will empower educational institutions to increase retention and foster success.

The second edition of The Handbook of Contemporary Semantic Theory presents a comprehensive introduction to cutting-edge research in contemporary theoretical and computational semantics. Features completely new content from the first edition of The Handbook of Contemporary Semantic Theory Features contributions by leading semanticists, who introduce core areas of contemporary semantic research, while discussing current research Suitable for graduate students for courses in semantic theory and for advanced researchers as an introduction to current theoretical work.

Este artículo examina los diversos niveles de certeza en el pensamiento de Hasdai Crescas, tal como pueden encontrarse en su _Sermón de Pascua_ y su principal obra filosófica, _Or Hashem_. En la primera parte del artículo se analiza la discusión principal de Crescas sobre este tema en el _Sermón._ En la segunda parte, las principales ideas expuestas allí se comparan con la opinión de Crescas en _Or Hashem_. Además, el artículo busca explicar por qué este tema está más desarrollado en (...) el _Sermón_ que en su principal obra filosófico. En última instancia, se concluye que Hasdai Crescas identifica cuatro niveles distintos de certeza: (1) pruebas irrefutables y la experiencia de la profecía; (2) pruebas lógicas razonables y la presencia de milagros que no tienen explicación terrenal; (3) pruebas y milagros menos probables de naturaleza dudosa; y (4) aceptar el significado claro del texto de la Torá y la tradición en general. Es probable que R. Crescas no mencionara este tema en _Or Hashem_ debido al bajo grado de certeza de la tradición, que eligió mantener oculta. (shrink)

Although "Love your fellow as yourself" is, as Rabbi Akiva taught, the great underlying principle of the Torah, achieving the experience of this love is a profound challenge for most people. Human personality is instead often given to baseless hatred. The discourse Heichaltzu (lit., "Arm yourselves") by the fifth Lubavitcher Rebbe deals with the spiritual roots of such hatred, its practical consequences, and the remedies for it. Includes several related essays and letters, as well as extensive footnotes and references.

On the Fregean view of NP's, quantified NP's are represented as operator-variable structures while proper names are constants appearing in argument position. The Generalized Quantifier approach characterizes quantified NP's and names as elements of a unified syntactic category and semantic type. According to the Logicality Thesis, the distinction between quantified NP's, which undergo an operation of quantifier raising to yield operator-variable structures at Logical Form and non-quantified NP's, which appear in situ at LF, corresponds to a difference in logicality status. (...) The former are logical expressions while the latter are not. Using van Benthem's [2, 3] criterion for logicality, I extend the concept of logicality to GQ's. I argue that NP's modified by exception phrases constitute a class of quantified NP's which are heterogeneous with respect to logicality. However, all exception phrase NP's exhibit the syntactic and semantic properties which motivate May to treat quantified NP's as operators at LF. I present a semantic analysis of exception phrases as modifiers of GQ's, and I indicate how this account captures the central semantic properties of exception phrase NP's. I explore the consequences of the logically heterogeneous character of exception phrase NP's for proof theoretic accounts of quantifiers in natural language. The proposed analysis of exception phrase NP's provides support for the GQ approach to the syntax and semantics of NP's. (shrink)