"This accessible, applications-related introductory treatment explores some of the structure of modern symbolic logic useful in the exposition of elementary mathematics. Topics include axiomatic structure and the relation of theory to interpretation. No prior training in logic is necessary, and numerous examples and exercises aid in the mastery of the language of logic. 1959 edition"--.

Since the middle of this century, the dominant prescriptive approach to decision theory has been a deductive viewpoint which is concerned with axioms of rational preference and their consequences. After summarizing important problems with the preference primitive, this paper argues for a constructive approach in which information is the foundation for decision-making. This approach poses comparability of uncertain acts as a question rather than an assumption. It is argued that, in general, neither preference nor subjective probability can be assumed given, (...) and that these need to be generated by using the relevant information available to the decision-agent in a given situation. A specific constructive model is discussed and illustrated with a real example from this viewpoint. (shrink)

This article aims to explore representation of the content knowledge of historical Malay manuscripts by extracting the event features using an event ontology framework. The manuscript used during the testing is Sulalatus Salatin (Sejarah Melayu ) by Abdul Ahmad Samad and it was published at University of Malaya Digital Library database. In aligning to a domain-specific ontology, the Simple Event Model (SEM) model is adopted and an event-based ontology for historical Malay manuscripts is designed. Information extraction approach is done manually (...) to extract events from the manuscript and mapped into Protégé editor. Competency questions were constructed and submitted to the Protégé editor using SPARQL to check the ontology capability of providing answers as well as to examine its correctness. Event-based ontology model assists in discovering and representing the content knowledge of historical Malay manuscripts and supports organisation of knowledge. All the main concepts are extracted from selected Malay manuscript and 17 concepts used to develop the event-based ontology model. The knowledge was verified by three domain experts in Malay manuscript. In the findings, the interrater reliability for Event and Actor instances is 84%, which means 16% of instances and its type are incorrect and need amendment. For Place, interrater reliability is 95% and 99% for Role. Meanwhile, the experts achieved 100% agreement for Time. In addition, the experts agreed that the concepts, properties and instances for Malay Manuscript Ontology and complied with the criteria of consistency, completeness, conciseness, expandability and ease of use. The development of the event-based model of an ontology-based system with a high level of semantic granularity reflects the various cultural riches and intellectual aspect stored in Malay manuscripts. This will enable systematic research of the knowledge embedded in the manuscripts and make it widely and easily accessible by everyone. (shrink)

In Chinese scholarship, Xunzi is often regarded as an eclectic Confucian master who accepted some form of utilitarian thoughts (e.g. Fung Yu-lan, Mou Zongsan and Xu Fuguan). This characteristic was also observed by some western scholars such as Benjamin I. Schwartz. In a recent study, I argued that the basic character of Xunzi’s philosophy is utilitarianism in a broad sense based on an examination on his intellectual criticism and political criticism. Xunzi asserts that humans are innately driven by self-interested desires, (...) and he evaluates all intellectual works and political behaviours by their utility. However, he does not limit utility to only basic animal desires such as food and sex. In Xunzi’s view, humans also have innate emotions; hence, these emotions should also be accounted for in their utility. This is similar to John Stuart Mill’s redefinition of Bentham’s concept of utility. Are Xunzi’s and Mill’s concepts of utility exactly the same? This question has yet to be examined. This article is a comparative study between utilitarianism and Xunzi’s philosophy which especially explores the compatibility of these two philosophies. (shrink)

Kungmin yulli t'ŭkkang -- Ch'oe Che-u non -- Silla munhwa wa p'ungnyu chŏngsin.

t. 1. A-D -- t. 2. E-M -- t. 3. N-S -- t.4. T-I︠A︡.

We study the minimal enumeration degree problem in models of fragments of Peano arithmetic () and prove the following results: in any model M of Σ2 induction, there is a minimal enumeration degree if and only if M is a nonstandard model. Furthermore, any cut in such a model has minimal e-degree. By contrast, this phenomenon fails in the absence of Σ2 induction. In fact, whether every Σ2 cut has minimal e-degree is independent of the Σ2 bounding principle.