The proofs of Kleene, Chaitin and Boolos for Gödel's First Incompleteness Theorem are studied from the perspectives of constructivity and the Rosser property. A proof of the incompleteness theorem has the Rosser property when the independence of the true but unprovable sentence can be shown by assuming only the (simple) consistency of the theory. It is known that Gödel's own proof for his incompleteness theorem does not have the Rosser property, and we show that neither do Kleene's or Boolos' proofs. (...) However, we show that a variant of Chaitin's proof can have the Rosser property. The proofs of Gödel, Rosser and Kleene are constructive in the sense that they explicitly construct, by algorithmic ways, the independent sentence(s) from the theory. We show that the proofs of Chaitin and Boolos are not constructive, and they prove only the mere existence of the independent sentences. (shrink)

A cornerstone of modern mathematical logic is the diagonal lemma of Gödel and Carnap. It is used in e.g. the classical proofs of the theorems of Gödel, Rosser and Tarski. From its first explication in 1934, just essentially one proof has appeared for the diagonal lemma in the literature; a proof that is so tricky and hard to relate that many authors have tried to avoid the lemma altogether. As a result, some so called diagonal-free proofs have been given for (...) the above mentioned fundamental theorems of logic. In this paper, we provide new proofs for the semantic formulation of the diagonal lemma, and for a weak version of the syntactic formulation of it. (shrink)

It is shown that all the provably total functions of Basic Arithmetic BA, a theory introduced by Ruitenburg based on Predicate Basic Calculus, are primitive recursive. Along the proof a new kind of primitive recursive realizability to which BA is sound, is introduced. This realizability is similar to Kleene's recursive realizability, except that recursive functions are restricted to primitive recursives.

A polynomially bounded recursive realizability, in which the recursive functions used in Kleene's realizability are restricted to polynomially bounded functions, is introduced. It is used to show that provably total functions of Ruitenburg's Basic Arithmetic are polynomially bounded (primitive) recursive functions. This sharpens our earlier result where those functions were proved to be primitive recursive. Also a polynomially bounded schema of Church's Thesis is shown to be polynomially bounded realizable. So the schema is consistent with Basic Arithmetic, whereas it is (...) inconsistent with Heyting Arithmetic. (shrink)

We formalize the notion of Herbrand Consistency in an appropriate way for bounded arithmetics, and show the existence of a finite fragment of IΔ0 whose Herbrand Consistency is not provable in IΔ0. We also show the existence of an IΔ0-derivable Π1-sentence such that IΔ0 cannot prove its Herbrand Consistency.

Gödel's second incompleteness theorem is proved for Herbrand consistency of some arithmetical theories with bounded induction, by using a technique of logarithmic shrinking the witnesses of bounded formulas, due to Z. Adamowicz [Herbrand consistency and bounded arithmetic, Fundamenta Mathematical vol. 171 (2002), pp. 279-292]. In that paper, it was shown that one cannot always shrink the witness of a bounded formula logarithmically, but in the presence of Herbrand consistency, for theories I∆₀+ Ωm, with m ≥ 2, any witness for any (...) bounded formula can be shortened logarithmically. This immediately implies the unprovability of Herbrand consistency of a theory T ⊇ I∆₀ + Ω₂ in t itself. In this paper, the above results are generalized for I∆₀ + Ω₁. Also after tailoring the definition of Herbrand consistency for I∆₀ we prove the corresponding theorems for I∆₀. Thus the Herbrand version of Gödel's second incompleteness theorem follows for the theories I∆₀ + Ω₁ and I∆₀. (shrink)

We argue that Gödel's completeness theorem is equivalent to completability of consistent theories, and Gödel's incompleteness theorem is equivalent to the fact that this completion is not constructive, in the sense that there are some consistent and recursively enumerable theories which cannot be extended to any complete and consistent and recursively enumerable theory. Though any consistent and decidable theory can be extended to a complete and consistent and decidable theory. Thus deduction and consistency are not decidable in logic, and an (...) analogue of Rice's Theorem holds for recursively enumerable theories: all the non-trivial properties of them are undecidable. (shrink)

The proofs of Gödel (1931), Rosser (1936), Kleene (first 1936 and second 1950), Chaitin (1970), and Boolos (1989) for the first incompleteness theorem are compared with each other, especially from the viewpoint of the second incompleteness theorem. It is shown that Gödel’s (first incompleteness theorem) and Kleene’s first theorems are equivalent with the second incompleteness theorem, Rosser’s and Kleene’s second theorems do deliver the second incompleteness theorem, and Boolos’ theorem is derived from the second incompleteness theorem in the standard way. (...) It is also shown that none of Rosser’s, Kleene’s second or Boolos’ theorems is equivalent with the second incompleteness theorem, and Chaitin’s incompleteness theorem neither delivers nor is derived from the second incompleteness theorem. We compare (the strength of) these six proofs with one another. (shrink)

We take an argument of Gödel's from his ground‐breaking 1931 paper, generalize it, and examine its validity. The argument in question is this: "the sentence G says about itself that it is not provable, and G is indeed not provable; therefore, G is true".

We prove the equivalence of the semantic version of Tarski’s theorem on the undefinability of truth with the semantic version of the diagonal lemma and also show the equivalence of a syntactic version of Tarski’s undefinability theorem with a weak syntactic diagonal lemma. We outline two seemingly diagonal-free proofs for these theorems from the literature and show that the syntactic version of Tarski’s theorem can deliver Gödel–Rosser’s incompleteness theorem.

We present axiom systems, and provide soundness and strong completeness theorems, for classes of Kripke models with restricted extension rules among the node structures of the model. As examples we present an axiom system for the class of cofinal extension Kripke models, and an axiom system for the class of end-extension Kripke models. We also show that Heyting arithmetic is strongly complete for its class of end-extension models. Cofinal extension models of HA are models of Peano arithmetic.

We argue that, under the usual assumptions for sufficiently strong arithmetical theories that are subject to Gödel’s First Incompleteness Theorem, one cannot, without impropriety, talk about *the* Gödel sentence of the theory. The reason is that, without violating the requirements of Gödel’s theorem, there could be a true sentence and a false one each of which is provably equivalent to its own unprovability in the theory if the theory is unsound.

We demonstrate that, in itself and in the absence of extra premises, the following argument scheme is fallacious: The sentence A says about itself that it has a property F, and A does in fact have the property F; therefore A is true. We then examine an argument of this form in the informal introduction of Gödel’s classic (1931) and examine some auxiliary premises which might have been at work in that context. Philosophically significant as it may be, that particular (...) informal argument plays no rôle in Gödel’s technical results. Going deeper into the issue and investigating truth conditions of Gödelian sentences (i.e., those sentences which are provably equivalent to their own unprovability) will provide us with insights regarding the philosophical debate on the truth of Gödelian sentences of systems—a debate which goes back to Dummett (1963). (shrink)

Interesting as they are by themselves in philosophy and mathematics, paradoxes can be made even more fascinating when turned into proofs and theorems. For example, Russell’s paradox, which overthrew Frege’s logical edifice, is now a classical theorem in set theory, to the effect that no set contains all sets. Paradoxes can be used in proofs of some other theorems—thus Liar’s paradox has been used in the classical proof of Tarski’s theorem on the undefinability of truth in sufficiently rich languages. This (...) paradox (as well as Richard’s paradox) appears implicitly in Gödel’s proof of his celebrated first incompleteness theorem. In this paper, we study Yablo’s paradox from the viewpoint of first- and second-order logics. We prove that a formalization of Yablo’s paradox (which is second order in nature) is non-first-orderizable in the sense of George Boolos (1984). (shrink)

To counter a general belief that all the paradoxes stem from a kind of circularity (or involve some self--reference, or use a diagonal argument) Stephen Yablo designed a paradox in 1993 that seemingly avoided self--reference. We turn Yablo's paradox, the most challenging paradox in the recent years, into a genuine mathematical theorem in Linear Temporal Logic (LTL). Indeed, Yablo's paradox comes in several varieties; and he showed in 2004 that there are other versions that are equally paradoxical. Formalizing these versions (...) of Yablo's paradox, we prove some theorems in LTL. This is the first time that Yablo's paradox(es) become new(ly discovered) theorems in mathematics and logic. (shrink)

We respond to some of the points made by Bennet and Blanck (2022) concerning a previous publication of ours (2021).

Background: Physical restraint is among the commonly used methods for ensuring patient safety in intensive care units. However, nurses usually experience ethical dilemmas over using physical restraint because they need to weigh patient autonomy against patient safety. Aim: The aim of this study was to explore factors behind ethical dilemmas for critical care nurses over using physical restraint for patients. Design: This is a qualitative study using conventional content analysis approach, as suggested by Graneheim and Lundman, to analyze the data. (...) Methods: Seventeen critical care nurses were purposefully recruited from the four intensive care units in Tehran, Iran. Data were collected through in-depth semi-structured interviews and were concurrently analyzed through conventional content analysis as suggested by Graneheim and Lundman. Ethical consideration: This study was approved by the Ethics Committee of Iran University of Medical Sciences, Tehran, Iran with the code: IR.IUMS.REC.1397.795. Before interviews, participants were provided with explanations about the aim of the study, the confidentiality of the data, their freedom to participate, and the right to withdraw the study, and their free access to the study findings. Finally, their consents were obtained, and interviews were started. Results: Factors behind ethical dilemmas for critical care nurses over using physical restraint were categorized into three main categories, namely the outcomes of using physical restraint, the outcomes of not using physical restraint, and emotional distress for nurses. The outcomes of using physical restraint were categorized into the three subcategories of ensuring patient safety, physical damage to patients, and mental damage to the patient. The outcomes of not using physical restraint fell into two subcategories, namely the risks associated with not using physical restraint and legal problems for nurses. Finally, the two subcategories of the emotional distress for nurses main category were nurses’ negative feelings about restraint use and uncertainty over the decision on physical restraint use. Conclusion: Decision-making for restraint use is often associated with ethical dilemmas, because nurses need to weight the outcomes of its use against the outcomes of not using it and also consider patient safety and autonomy. Health authorities are recommended to develop clear evidence-based guidelines for restraint use and develop and implement educational and counseling programs for nurses on the principles of ethical nursing practice, patient rights, physical restraint guidelines and protocols, and management of emotional, ethical, and legal problems associated with physical restraint use. (shrink)

In these two long-distance interviews, Iranian Saeed Naji, founder of the Philosophy for Children movement in Iran, questions two veteran practitioners of philosophy for children/community of philosophical inquiry . He raises issues related to P4C/CPI as representative of a larger educational paradigm, which he calls “reflective education,” and weighs its prospects for replacing what he calls the “traditional paradigm” worldwide. He also queries the two scholars on issues such as criteria for appropriate texts/stimuli for practicing philosophy with children; issues (...) around teacher preparation; the epistemological paradigm of CPI and its relation to the logic of scientific discovery and mathematical proof; the status of CPI as a “new” or reconstructed form of the discipline of philosophy; the prospects for a narrative approach to philosophy as exemplified in the new literary genre of the Lipmanian philosophical novel for children; the relationship between the practice of CPI in schools and the possibility for educational reconstruction, particularly in the area of social democracy and school governance; the significance of understanding the child as a “privileged stranger” to patriarchal colonialist culture, and the social implications of a form of education based on dialogue rather than forced enculturation; and the implications for the construction and delivery of curriculum in a school in which CPI and emergent curriculum were central organizational elements. (shrink)

Organised into three sections covering the place of semantics in linguistics, the description of sentence and word meanings, and current theoretical approaches to semantics, this book is aimed at undergraduates as well as general readers.

Managing non-communicable diseases in crisis-affected and fragile humanitarian contexts requires special attention because primary health care systems often collapse or become compromised in such settings. As a result, addressing and managing these diseases become more challenging. Humanitarian organizations that intervene in crisis situations are increasingly including NCD management in the services they support and provide; however, they encounter a range of issues such as ensuring the quality of care, sustainability of programs, and the possibility of unintended harms. This case study (...) explores ethical considerations raised by a mobile NCD program run by an international humanitarian organization in a country affected by a protracted civil war. (shrink)

IntroductionNowadays, biotechnology has a significant influence on different aspects of human life. The applications of biotechnology are so broad, and the advantages so compelling, that virtually every industry is using this technology. Developments are under way in areas as diverse as pharmaceuticals, diagnostics, textiles, aquaculture, forestry, chemicals, household products, environmental cleanup, food processing, and forensics, to name a few. Biotechnology is enabling these industries to make new or better products, often with greater speed, efficiency, and flexibility. Biotechnology is any technological (...) application that uses biological systems, living organisms, or derivatives thereof to make or modify products or processes for specific use. It applies the knowledge of biology to enhance and improve the environment, health, and food supply. Using biotechnology, scientists work to develop environment-friendly alternatives to fossil fuels and plastics; new medicines, vaccines, and. (shrink)

This book on Philosophy for Children is a compilation of articles written by its founders and the movement's leaders worldwide. These articles have been prepared in the dialogue and interview format. Part I explains the genesis of the movement, its philosophical and theoretical foundations. Part II examines the specialized uses of philosophical dialogues in teaching philosophy, morality, ethics and sciences. Part III examines the theoretical concerns such as the aims of the method in regards to the search for truth or (...) sense of meaning, or the debate on the novel or short stories and its characteristics. Part IV explains the practices of P4C worldwide and the issue of cultural differences, the ways of the community of inquiry and the necessary adaptation to suit local concerns. The book concludes with a notable review of the progress of P4C, the obstacles, and its international spread to over 60 countries. These penetrating insights make the book an incredibly rich resource for anyone interested in or involved with implementing a P4C programme. Brave Old Subject, Brave New World Teaching Science and Morality Via P4C Showing Children can do Philosophy. (shrink)

To investigate the effect of philosophical thinking on the development of reasoning skills and behavioral performance among Iranian primary school students, we conducted a qualitative method study with ten fourth grade students (including boys and girls)selected from different primary schools in Tehran1. We also study the reactions of children and their parents to this new method of education, which thoroughly differs from the method practiced in our schools now. This study was carried out in the Institute for Humanities and Cultural (...) Studies, as an extra class once a week for twenty sessions. Data collection strategies of this study including the authors’ observations during sessions, children’s parents’ observations and reports, and interviews with children and their parents. Our research result shows that reasoning skills enhance communication skills by enabling children to express their ideas more persuasively. We also found that children act more confidently and independently. (shrink)

We investigate the impact of women shareholders on corporate social responsibility (CSR) and how they interact with women directors to exert a greater influence on CSR activities. Little is known about how women's ownership can enhance their roles in CSR practices. Based on data from Omani-listed firms during 2016–2020 and using CSR budgeting and spending as proxies for CSR activities, firms with women shareholders allocate more CSR budgeting and spend more money on CSR activities. However, we also find that women (...) directors can only affect CSR budgeting and spending if their representation on the board is increased. Furthermore, we find that firms with women shareholders and directors have higher CSR budgeting and spending. Further analysis reveals that women shareholders are more likely to spend money on CSR activities within the budgeted amount and are less likely to be associated with gaps between CSR budgeting and spending. This analysis also shows that the type of ownership (family versus non-family) influences women shareholders' effects on CSR budgeting and spending. Our empirical findings provide critical insights into how woman shareholders influence CSR actions. (shrink)

This study linked background TV and socioeconomic status to minority children’s Persian vocabulary development. To this end, 80 Iranian preschool children from two minority groups of Arabs and Turks were selected using stratified random sampling. They were simultaneous bilinguals, i.e., their mother tongue was either Arabic or Azari and their first language was Persian. Language sample analysis was used to measure vocabulary development through a 15-min interview by language experts. The LSA measures included total number of utterances, total number of (...) words, total number of new words, and mean length of utterance. A series of independent-samples t test, paired-samples t test, and repeated measures MANOVA tests were ran to examine data. Results showed significant improvements in children’s vocabulary scores from pretest to posttest for all children. In addition, high-SES children scored higher on the vocabulary measures in pretest and posttest. Moreover, background TV was associated with higher means in the TNW and the NDW in groups. The researchers concluded that background TV may be related to higher vocabulary scores in low-SES families as it may compensate for some linguistics gaps in these families including lower amount of child-parent interaction, play, and parents’ level of literacy. (shrink)

This study examined the influence of ethical leadership on knowledge sharing, the mediating role of psychological ownership, and the moderating effect of professional commitment between ethical leadership and knowledge sharing. Data were collected from 307 public listed Pakistani companies’ employees. Statistical analyses were performed by using SPSS Version 25 and AMOS version 22. The findings indicate a positive relationship between EL and KS behavior. Additionally, the impact of EL on KS was partially mediated by psychological ownership. Furthermore, professional commitment buffers (...) the link between EL and KS. This study contributes to the body of knowledge in the field of leadership by confirming the role of ethics. The results show that ethical leaders develop employee attitudes that contribute to employee KS behavior. Ethical leaders create and encourage a learning culture to enhance organizational performance. This study adds to the little data on the positive impact of EL on listed company’s employees and addresses the gaps in previous studies on the role of EL in changing environments. In addition, professional commitment as a moderator has not been previously investigated with ethical leadership antecedents. (shrink)

Pessimistic meta-induction is a powerful argument against scientific realism, so one of the major roles for advocates of scientific realism will be trying their best to give a sustained response to this argument. On the other hand, it is also alleged that structural realism is the most plausible form of scientific realism; therefore, the plausibility of scientific realism is threatened unless one is given the explicit form of a structural continuity and minimal structural preservation for all our current theories. This (...) essay aims to present what we call expansive structures, which are the structures that can be reconstructed from geometrized Newtonian gravitation and are capable of expanding into general relativity, explicitly. In this way, pessimistic meta-induction will be undermined. (shrink)

The capacity to classify social groups legally is a central characteristic of modern states. Social groups, however, often resist the classificatory schemas of the state. This raises the following question: how do modern states exercise symbolic power in social fields beset by acute classification struggles? While existing scholarship has demonstrated that states exercise symbolic power, there has not been a concomitant effort to systematize and theorize the various strategies through which they do so. This article addresses this lacuna through examining (...) classification struggles centered on a number of “heterodox” religious groups that have historically been perceived as deviant from mainstream religions. Specifically, it looks at Falun Gong in China, Mormons in the United States, and Baha’is in Egypt. The analysis draws attention to three strategies through which states exercise symbolic power: coercive classification, wherein the deviant group is forcibly fixed as such in law; juridical normalization, whereby the deviant group is allowed to enter the mainstream by shedding “problematic” ritual practices; and legal erasure, whereby the deviant group is kept out of the official classificatory system so that it becomes a legal non-entity. In summary, this article both identifies the religious field as a critical domain in which states of various ideological orientations exercise symbolic power and deploys this analysis to identify distinct strategies through which they do so. (shrink)

Building on social information processing theory and social exchange theory, this research advances the emerging concept of work engagement and inclusive leadership. Surprisingly, there is no study linking work engagement and inclusive leadership style in the setting of multiple organizations in China. The main purpose of this study is to identify the effective leadership style affecting work engagement directly and indirectly through psychological safety. The trust in leader further moderated the direct relationships. Using multi-source data of 390 responses from leaders-subordinates (...) dyads working in 20 Chinese companies (which include textile, manufacturing, construction, and trading), this study tested how inclusive leadership increased the work engagement of their subsequent subordinates. The mediating role of psychological safety and moderating role of trust in leader therein. The findings introduced an interactive motivational framework that revealed the positive influence of inclusive leadership on the work engagement of subordinates. Further, psychological safety mediated the direct relationship between inclusive leaders and work engagement. The role of trust in leader strengthened the direct relationship of inclusive leadership with psychological safety and work engagement. This is among the first studies to integrate inclusive leadership, psychological safety, trust in leader, and work engagement into a single interactive framework. Further, it provides empirical evidence in the context of predicting and increasing the work engagement of subordinates. (shrink)

One of the main goals of assignments in the academic environment is to assess the students’ knowledge and mastery of a specific topic, and it is crucial to ensure that the work is original and has been solely made by the students to assess their competence acquisition. Therefore, Text-Matching Software Products are used by academic institutes to ensure academic integrity and address plagiarism. However, some students find ways to trick TMSPS. In this paper, files with the common tricks students do (...) to beat TMSPS have been created and investigates with nine academic level TMPS to evaluate their effectiveness against these tricks, identifying the strengths and weaknesses of each TMSP, and providing instructors with some practical tips on checking plagiarism effectively and spotting any tricks to cheat without getting noticed. (shrink)

OBJECTIVES: To compare the perceptions of physician executives and clinicians regarding ethical issues in Saudi Arabian hospitals and the attributes that might lead to the existence of these ethical issues. DESIGN: Self-completion questionnaire administered from February to July 1997. SETTING: Different health regions in the Kingdom of Saudi Arabia. PARTICIPANTS: Random sample of 457 physicians (317 clinicians and 140 physician executives) from several hospitals in various regions across the kingdom. RESULTS: There were statistically significant differences in the perceptions of physician (...) executives and clinicians regarding the existence of various ethical issues in their hospitals. The vast majority of physician executives did not perceive that seven of the eight issues addressed by the study were ethical concerns in their hospitals. However, the majority of the clinicians perceived that six of the same eight issues were ethical considerations in their hospitals. Statistically significant differences in the perceptions of physician executives and clinicians were observed in only three out of eight attributes that might possibly lead to the existence of ethical issues. The most significant attribute that was perceived to result in ethical issues was that of hospitals having a multinational staff. CONCLUSION: The study calls for the formulation of a code of ethics that will address specifically the physicians who work in the kingdom of Saudi Arabia. As a more immediate initiative, it is recommended that seminars and workshops be conducted to provide physicians with an opportunity to discuss the ethical dilemmas they face in their medical practice. (shrink)

_Islamic Thought_ is a fresh and contemporary introduction to the philosophies and doctrines of Islam. Abdullah Saeed, a distinguished Muslim scholar, traces the development of religious knowledge in Islam, from the pre-modern to the modern period. The book focuses on Muslim thought, as well as the development, production and transmission of religious knowledge, and the trends, schools and movements that have contributed to the production of this knowledge. Key topics in Islamic culture are explored, including the development of the (...) Islamic intellectual tradition, the two foundation texts, the Qur’an and Hadith, legal thought, theological thought, mystical thought, Islamic Art, philosophical thought, political thought, and renewal, reform and rethinking today. Through this rich and varied discussion, Saeed presents a fascinating depiction of how Islam was lived in the past and how its adherents practise it in the present. _Islamic Thought_ is essential reading for students beginning the study of Islam but will also interest anyone seeking to learn more about one of the world’s great religions. (shrink)

Firms in controversial industries such as tobacco, alcohol, gambling, weapon, and nuclear power suffer organizational legitimacy problems. These firms, therefore, adopt various strategies to acquire legitimacy. Drawing on institutional theory, we conceptualize the top management team gender diversity as a legitimacy-seeking strategy and examines how a firm’s belonging to a controversial sector affects TMT gender diversity. Based on a cross-country sample of 1542 firms operating in controversial industries from 34 countries and control sample with another set of 1542 similar-sized firms (...) from non-controversial industries, the empirical evidence shows that belonging to a controversial industry exerts a positive impact on TMT gender diversity. The effect of industry belonging on TMT gender diversity is positively moderated by institutional gender parity and a low level of corruption. It indicates that institutional factors act as emancipative forces that foster women's empowerment. Taken together, our results for moderating variables highlight the role of institutional characteristics in supporting women empowerment initiatives. (shrink)

International marketing practices, embedded in a strong ethical doctrine, can play a vital role in raising the standards of business conduct worldwide, while in no way compromising the quality of services or products offered to customers, or surrendering the profit margins of businesses. Adherence to such ethical practices can help to elevate the standards of behavior and thus of living, of traders and consumers alike. Against this background, this paper endeavors to identify the salient features of the Islamic framework of (...) International Marketing Ethics. In particular, it highlights the capabilities and strengths of this framework in creating and sustaining a strong ethical international marketing culture. At the heart of Islamic marketing is the principle of value-maximization based on equity and justice (constituting just dealing and fair play) for the wider welfare of the society. Selected key international marketing issues are examined from an Islamic perspective which, it is argued, if adhered to, can help to create a value-loaded global ethical marketing framework for MNCs in general, and establish harmony and meaningful cooperation between international marketers and Muslim target markets in particular. (shrink)

The data with the advancement of information technology are increasing on daily basis. The data mining technique has been applied to various fields. The complexity and execution time are the major factors viewed in existing data mining techniques. With the rapid development of database technology, many data storage increases, and data mining technology has become more and more important and expanded to various fields in recent years. Association rule mining is the most active research technique of data mining. Data mining (...) technology is used for potentially useful information extraction and knowledge from big data sets. The results demonstrate that the precision ratio of the presented technique is high comparable to other existing techniques with the same recall rate, i.e., the R-tree algorithm. The proposed technique by the mining effectively controls the noise data, and the precision rate is also kept very high, which indicates the highest accuracy of the technique. This article makes a systematic and detailed analysis of data mining technology by using the Apriori algorithm. (shrink)

Shyness affects and influences the performance of the learners at school and college level. There are different correlates and reasons of shyness. Zimbardo states that Shyness is a vague concept which has many interpretations and definitions. One definition which is very renowned is that “The person, male or female, who is nervous, worried, and uncomfortable in the gathering or presence of others, is called shy”. The objectives of this research study were as: to investigate the relationship of schooling system with (...) shyness to investigate the relationship of residential locality with shyness to check relationship of Socio- Economic status with shyness To rank the correlates of shyness. Overall 252 students from graduation of Indus group of Colleges from Rawalpindi and Islamabad were the population of the study and 42 students were selected through simple random sampling technique as a sample for the study. The researcher got the data with the help of personal visits to the colleges. Questionnaire for measuring shyness was used by the researcher for this research study1. Another self developed questionnaire or instrument was used to know the correlates of shyness. Chisquare test of independence was used for data analysis. The results of the study showed that shyness depended upon these correlates of shyness as residential locality Schooling system socio-economic status of the learners. Shyness depends upon above mentioned correlates. In order to remove this problem of shyness, some steps should be taken as learners or students may not be blamed or punished without any reason. Learners should be encouraged and motivated. (shrink)

Applying the resolution–scale relativity principle to develop a mechanics of non-differentiable dynamical paths, we find that, in one dimension, stationary motion corresponds to an Itô process driven by the solutions of a Riccati equation. We verify that the corresponding Fokker–Planck equation is solved for a probability density corresponding to the squared modulus of the solution of the Schrödinger equation for the same problem. Inspired by the treatment of the one-dimensional case, we identify a generalization to time dependent problems in any (...) number of dimensions. The Itô process is then driven by a function which is identified as establishing the link between non-differentiable dynamics and standard quantum mechanics. This is the basis for the scale relativistic interpretation of standard quantum mechanics and, in the case of applications to chaotic systems, it leads us to identify quantum-like states as characterizing the entire system rather than the motion of its individual constituents. (shrink)

Eine der grossten Schwierigkeiten eines symmetrischen, wechselseitigen Verstehens und Kooperierens ist die Eigenzentrik des Verstehenskriteriums aufgrund der eigenen Lebensform - mit der hochst bedenklichen Konsequenz des Wittgenstein-Mottos dieses Buches, namlich dass wir uns in den Anderen nicht finden konnen. Korrigiert wird dieser Aspekt des interkulturellen Verstehens durch das Konzept einer von allen Kulturen geteilten, allgemeinen menschlichen Lebensform, die wiederum bei Wittgenstein den Rang eines interkulturellen Verstehens-Aprioris einnimmt und die Funktion hat, Sprachspiele und ihre divergierenden Regeln ineinander zu ubersetzen. Wittgensteins spate (...) Untersuchungen tragen aber auch dem Problem unaufhebbarer Kommunikationsgrenzen Rechnung. Und zwar in ihrer Theorie einer -Grammatik- von Weltbildsatzen, die keinerlei Verstehensbrucken zu Weltbildsatzen fremder Kulturen erlaubt. <BR> Die Aufsatze dieses Sammelbandes, der die Ergebnisse des dritten Wittgenstein-Symposions der Deutschen Ludwig Wittgenstein Gesellschaft e.V. zusammenfasst, sind dieser Problematik gewidmet und versuchen, die unterschiedlichen interkulturellen Verstehensmodelle auszuarbeiten, ihre Schwierigkeiten zu analysieren und angemessene Losungsvorschlage zu entwickeln.". (shrink)