'The Fathers According to Rabbi Nathan' gives insight into the folklore of Palestine, the character of Rabbinic thought in New Testament times, and the views of the Pharisees and their successors on man's relationships with himself, his ...
Chapter 49 of the Han Feizi, entitled 'Wudu' ('The Five Vermin'), includes one of the earliest discussions in Chinese history of the concepts of gong and si: Han Fei (d. 233 B.C.) takes si to mean 'acting in one's own interest'. Gong is simply what opposes si. 'Acting in one's own interest' is not inherently reprehensible in Han Fei's view; but a ruler must remember why ministers propose their policies: they are concerned only with enriching themselves, and look upon the (...) ruler as nothing more than a resource to be exploited in their quest for material aggrandizement. The interests of the ministers and the ruler are diametrically opposed. Ministers <span class='Hi'>hope</span> for a comfortable career; a ruler must weed out the posers in his search for those rare and invaluable adjuvants who are genuinely capable of administering the state. In short, if si is the self-interest of the minister, gong is the self-interest of the ruler. (shrink)
One of the challenges of reading ancient Chinese philosophical texts is to recognize that certain keywords have attained significantly different senses in the more recent language, and to try to reconstruct, on the basis of contemporary documents, what these terms would have meant to classical audiences. One such term is zhong å¿ , which is often mechanically translated as loyalty. Throughout the imperial period, and in many Eastern Zhou contexts, zhong did indeed mean something very similar to loyalty. However, simply (...) plugging in the word loyalty every time one encounters zhong can lead to seriously incorrect translations, especially when dealing with texts from before the third century BCE. This article discusses a range of complex early meanings including treating people right, being honest with oneself in dealing with others, and adjudicating a case fairly. In addition, the relationship with zhong ä¸ is explored by means of a revealing Western Zhou bronze inscription. (shrink)
The classical view of computing positions computation as a closed-box transformation of inputs (rational numbers or finite strings) to outputs. According to the interactive view of computing, computation is an ongoing interactive process rather than a function-based transformation of an input to an output. Specifically, communication with the outside world happens during the computation, not before or after it. This approach radically changes our understanding of what is computation and how it is modeled. The acceptance of interaction as a new (...) paradigm is hindered by the Strong Church–Turing Thesis (SCT), the widespread belief that Turing Machines (TMs) capture all computation, so models of computation more expressive than TMs are impossible. In this paper, we show that SCT reinterprets the original Church–Turing Thesis (CTT) in a way that Turing never intended; its commonly assumed equivalence to the original is a myth. We identify and analyze the historical reasons for the widespread belief in SCT. Only by accepting that it is false can we begin to adopt interaction as an alternative paradigm of computation. We present Persistent Turing Machines (PTMs), that extend TMs to capture sequential interaction. PTMs allow us to formulate the Sequential Interaction Thesis, going beyond the expressiveness of TMs and of the CTT. The paradigm shift to interaction provides an alternative understanding of the nature of computing that better reflects the services provided by today’s computing technology. (shrink)
This essay discusses selected English translations of the Daode jing by people who do not know Chinese, and criticizes them on three counts: they rely heavily on earlier translations; they fail any basic test of accuracy; and they distort and simplify the philosophy of the original. The paper concludes by considering why publishers continue to market such works, and why readers consume them.
Heng Xian is a previously unknown text reconstructed by Chinese scholars out of a group of more than 1,200 inscribed bamboo strips purchased by the Shanghai Museum on the Hong Kong antiquities market in 1994. The strips have all been assigned an approximate date of 300 B.C.E., and Heng Xian allegedly consists of thirteen of them, but each proposed arrangement of the strips is marred by unlikely textual transitions. The most plausible hypothesis is one that Chinese scholars do not appear (...) to take seriously: that we are missing one or more strips. The paper concludes with a discussion of the hazards of studying unprovenanced artifacts that have appeared during China’s recent looting spree. I believe the time has come for scholars to ask themselves whether their work indirectly abets this destruction of knowledge. (shrink)
This edited volume on the thinker, his views on politics and philosophy, and the tensions of his relations with Confucianism (which he derided) is the first of its kind in English.Featuring contributions from specialists in various ...
We define the ideal with the property that a real omits all Borel sets in the ideal which are coded in a transitive model if and only if it is an amoeba real over this model. We investigate some other properties of this ideal. Strolling through the "amoeba forest" we gain as an application a modification of the proof of the inequality between the additivities of Lebesgue measure and Baire category.
In this work we give a complete answer as to the possible implications between some natural properties of Lebesgue measure and the Baire property. For this we prove general preservation theorems for forcing notions. Thus we answer a decade-old problem of J. Baumgartner and answer the last three open questions of the Kunen-Miller chart about measure and category. Explicitly, in \S1: (i) We prove that if we add a Laver real, then the old reals have outer measure one. (ii) We (...) prove a preservation theorem for countable-support forcing notions, and using this theorem we prove (iii) If we add ω 2 Laver reals, then the old reals have outer measure one. From this we obtain (iv) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + \neg B(m) + \neg U(m) + U(c))$ . In \S2: (i) We prove a preservation theorem, for the finite support forcing notion, of the property " $F \subseteq ^\omega\omega$ is an unbounded family." (ii) We introduce a new forcing notion making the old reals a meager set but the old members of ω ω remain an unbounded family. Using this we prove (iii) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + U(m) + \neg B(c) + \neg U(c) + C(c))$ . In \S3: (i) We prove a preservation theorem, for the finite support forcing notion, of a property which implies "the union of the old measure zero sets is not a measure zero set," and using this theorem we prove (ii) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + \neg U(m) + C(m) + \neg C(c))$. (shrink)
If ZFC is consistent, then each of the following is consistent with ZFC + 2ℵ0 = ℵ2: (1) $X \subseteq \mathbb{R}$ is of strong measure zero iff |X| ≤ ℵ1 + there is a generalized Sierpinski set. (2) The union of ℵ1 many strong measure zero sets is a strong measure zero set + there is a strong measure zero set of size ℵ2 + there is no Cohen real over L.
We conclude the discussion of additivity, Baire number, uniformity, and covering for measure and category by constructing the remaining 5 models. Thus we complete the analysis of Cichon's diagram.
This is a study of the ninth chapter of the Huai-nan-tzu, a Chinese philosophical text compiled in the mid-second century BC. The chapter (entitled Chu-shu [The techniques of the ruler]) has been consistently interpreted as a proposal for a benign government that is rooted in the syncretic Taoist principles of the Huai-nan-tzu and is designed to serve the best interests of the people. I argue, on the contrary, that the text makes skilful (and deliberately deceptive) use of vocabulary from the (...) major philosophical traditions of the day, in an attempt to subdue all philosophical sectarianism and wrench various antecedent philosophical ideas into the justification of a supreme political state. The best interests of the people are understood as nothing more than their material needs, since the text also denies that the ruler's subjects are possessed of 'minds' in any philosophical sense. It is this process of systematically undermining other philosophical traditions that I call 'insidious syncretism. '. (shrink)
Within The Guide of the Perplexed Maimonides presents an argument that is intended to render probable the temporal creation of the cosmos. In one of these arguments Maimonides adopts the Kalamic strategy of arguing for the necessity of there being a “particularizing” agent. Maimonides argues that even one who grants Aristotelian science can still ask why the heavenly realm is as it is, to which there is no reply forthcoming but “God so willed it.” The argument is effective against the (...) Arabic Neoplatonic Aristotelians, but not against Aristotle himself. Aristotle’s response to Maimonides would be that the latter is in effect asking, “Why are there the essences there are?”, a question that Aristotle would take to be fundamentally misplaced, since he holds that the existence of the theoretical primitives of every science is to be assumed. Nevertheless, Maimonides’ challenge has force for those who recognize a demand for a metaphysical explanation for there being those kinds of things posited as primitive by the natural sciences. (shrink)
In this paper we will study four forcing notions, two of them giving a minimal degree of constructibility. These constructions give answers to questions in [Ih].
In this article we give a forcing characterization for the Ramsey property of Σ 1 2 -sets of reals. This research was motivated by the well-known forcing characterizations for Lebesgue measurability and the Baire property of Σ 1 2 -sets of reals. Further we will show the relationship between higher degrees of forcing absoluteness and the Ramsey property of projective sets of reals.
We build models where all $\underset{\sim}{\triangle}^1_3$ -sets of reals are measurable and (or) have the property of Baire and (or) are Ramsey. We will show that there is no implication between any of these properties for $\underset{\sim}{\triangle}^1_3$ -sets of reals.
Despite their importance in public discourse, numbers in the range of 1 million to 1 trillion are notoriously difficult to understand. We examine magnitude estimation by adult Americans when placing large numbers on a number line and when qualitatively evaluating descriptions of imaginary geopolitical scenarios. Prior theoretical conceptions predict a log-to-linear shift: People will either place numbers linearly or will place numbers according to a compressive logarithmic or power-shaped function (Barth & Paladino, ; Siegler & Opfer, ). While about half (...) of people did estimate numbers linearly over this range, nearly all the remaining participants placed 1 million approximately halfway between 1 thousand and 1 billion, but placed numbers linearly across each half, as though they believed that the number words “thousand, million, billion, trillion” constitute a uniformly spaced count list. Participants in this group also tended to be optimistic in evaluations of largely ineffective political strategies, relative to linear number-line placers. The results indicate that the surface structure of number words can heavily influence processes for dealing with numbers in this range, and it can amplify the possibility that analogous surface regularities are partially responsible for parallel phenomena in children. In addition, these results have direct implications for lawmakers and scientists hoping to communicate effectively with the public. (shrink)
Computers today are not only the calculation tools - they are directly (inter)acting in the physical world which itself may be conceived of as the universal computer (Zuse, Fredkin, Wolfram, Chaitin, Lloyd). In expanding its domains from abstract logical symbol manipulation to physical embedded and networked devices, computing goes beyond Church-Turing limit (Copeland, Siegelman, Burgin, Schachter). Computational processes are distributed, reactive, interactive, agent-based and concurrent. The main criterion of success of computation is not its termination, but the adequacy of its (...) response, its speed, generality and flexibility; adaptability, and tolerance to noise, error,faults, and damage. Interactive computing is a generalization of Turing computing, and it calls for new conceptualizations (Goldin, Wegner). In the info-computationalist framework, with computation seen as information processing, natural computation appears as the most suitable paradigm of computation and information semantics requires logical pluralism. (shrink)
Following Linda Zagzebski's discussion of the paradoxical implications of moral luck for Christian morality, I explore the role of religious luck in two accounts of divine election – that of Paul the Apostle and that of the sixteenth-century Jewish thinker, Rabbi Judah Loeb of Prague. On both accounts, special religious status is conferred unrelated to the deserts of the beneficiary. What sense does it make to ascribe religious worth to someone if it simply came his way? Both accounts appeal (...) to the notion of religious virtue to answer this question. On Rabbi Judah's account, like ethical virtues, religious virtues inhere within the essence of their bearer and thus belong to him necessarily; on Paul's they are accidental, a matter of luck. Thus Paul's account, more than Rabbi Judah's, suffers from the paradox troubling Zagzebski. (Published Online February 17 2004). (shrink)
In the early 1970s, James Buchanan and Gordon Tullock held a series of seminars examining anarchism as a feasible method of social organization (Tullock 1972b; Tullock 1974b). The general consensus was that that good which may be termed ‘security" is a public or collective good. Since "security" is both (a) essential for the very existence of any social order and (b) incapable of being supplied voluntarily, government, that agency with a (legitimate) monopoly on the use of compulsion and control, is (...) indispensable. Interestingly, numerous articles have appeared since then in Public Choice (Goldin; Moss; Kim and Walker; Isaak, Walker and Thomas; McCaleb and Wagner) and elsewhere (Brubaker; Marwell and Ames; Schneider and Pomrnerehne; Brown-. (shrink)
This book surveys the vast body of medieval Jewish philosophy, devoting ample discussion to major figures such as Saadiah Gaon, Maimonides, Abraham Ibn Ezra, Judah Halevi, Abraham Ibn Daoud, and Gersonides, as well as presenting the ancillary texts of lesser known authors. Sirat quotes little-known texts, providing commentary and situating them within their historical and philosophical contexts. A comprehensive bibliography directs the reader to the texts themselves and to recent studies.
In this enlightening study, a noted scholar elucidates the distinguishing characteristics of the works of several Jewish thinkers of the Middle Ages. In addition to summaries of the main arguments and teachings of Moses Maimonides, Isaac Israeli, Judah Halevi, Abraham Ibn Daud, Hillel ben Samuel, Levi ben Gerson, Joseph Albo, and many others, the author offers insightful analyses and commentary. Of particular value to beginners, this volume is also an ever-relevant resource for many issues of scholarly debate.
Gesture does not have a fixed position in the Dienes & Perner framework. Its status depends on the way knowledge is expressed. Knowledge reflected in gesture can be fully implicit (neither factuality nor predication is explicit) if the goal is simply to move a pointing hand to a target. Knowledge reflected in gesture can be explicit (both factuality and predication are explicit) if the goal is to indicate an object. However, gesture is not restricted to these two extreme positions. When (...) gestures are unconscious accompaniments to speech and represent information that is distinct from speech, the knowledge they convey is factuality-implicit but predication-explicit. (shrink)
Developmental psychologists have long recognized the extraordinary influence of action on learning (Held & Hein, 1963; Piaget, 1952). Action experiences begin to shape our perception of the world during infancy (e.g., as infants gain an understanding of others’ goal-directed actions; Woodward, 2009) and these effects persist into adulthood (e.g., as adults learn about complex concepts in the physical sciences; Kontra, Lyons, Fischer, & Beilock, 2012). Theories of embodied cognition provide a structure within which we can investigate the mechanisms underlying action’s (...) impact on thinking and reasoning. We argue that theories of embodiment can shed light on the role of action experience in early learning contexts, and further that these theories hold promise for using action to scaffold learning in more formal educational settings later in development. (shrink)
Introduction: in search of a Jewish renaissance -- Jewish philosophy: humanist roots of a contradiction in terms -- The prophetic-poetic dimension of philosophy: the ars poetica and Immanuel of Rome -- Leone Ebreo's concept of Jewish philosophy -- Conceptions of history: Azariah de Rossi -- Scientific thought and the exegetical mind, with an essay on the life and works of Rabbi Judah Loew -- Mathematical and biblical exegesis: Jewish sources of Athanasius Kircher's musical theory -- Creating geographical and political (...) utopias: the ten lost tribes and the east -- Ceremonial law: history of a philosophical-political concept -- The city and the ghetto: Simone Luzzatto and the development of Jewish political thought -- Body of conversion and immortality of the soul: Sara Copio Sullam, the 'Beautiful Jewess'. (shrink)
We prove the following theorems: (1) If X has strong measure zero and if Y has strong first category, then their algebraic sum has property s 0 . (2) If X has Hurewicz's covering property, then it has strong measure zero if, and only if, its algebraic sum with any first category set is a first category set. (3) If X has strong measure zero and Hurewicz's covering property then its algebraic sum with any set in APC ' is a (...) set in APC '. (APC ' is included in the class of sets always of first category, and includes the class of strong first category sets.) These results extend: Fremlin and Miller's theorem that strong measure zero sets having Hurewicz's property have Rothberger's property, Galvin and Miller's theorem that the algebraic sum of a set with the γ-property and of a first category set is a first category set, and Bartoszynski and Judah's characterization of SR M -sets. They also characterize the property (*) introduced by Gerlits and Nagy in terms of older concepts. (shrink)
We show that Σ1 4-Amoeba-absoluteness implies that $\forall a \in \mathbb{R}(\omega^{L\lbrack a \rbrack}_1 < \omega^V_1)$ and, hence, Σ1 3-measurability. This answers a question of Haim Judah (private communication).
Abstract In The Regulated Economy: A Historical Approach to Political Economy, Claudia Goldin and Gary D. Libecap use case studies to defend and expand upon the notion that elements of civil society??special interests??manage to ?capture? government regulators and make the state serve their selfish ends. The evidence of the case studies themselves, however, and the occurrence of such anomalies as the deregulatory movement, suggest that government actors often enjoy considerable autonomy in regulating civil society, and that readily manipulable (...) currents in public opinion are also important. (shrink)
Psycho-physical origins.-- Spatial nothingness.-- The origin of space.-- Moral facts and origins.-- Psycho-physical relationship.-- Morality and moral ideals.-- The economic solution.-- Principles of psychotherapy.
