Logic as the Universal Science : Bertrand Russell's Early Conception of Logic and Its Philosophical Context

Bertrand Russell (1872 1970) introduced the English-speaking philosophical world to modern, mathematical logic and foundational study of mathematics. The present study concerns the conception of logic that underlies his early logicist philosophy of mathematics, formulated in The Principles of Mathematics (1903). In 1967, Jean van Heijenoort published a paper, Logic as Language and Logic as Calculus, in which he argued that the early development of modern logic (roughly the period 1879 1930) can be understood, when considered in the light of a distinction between two essentially different perspectives on logic. According to the view of logic as language, logic constitutes the general framework for all rational discourse, or meaningful use of language, whereas the conception of logic as calculus regards logic more as a symbolism which is subject to reinterpretation. The calculus-view paves the way for systematic metatheory, where logic itself becomes a subject of mathematical study (model-theory). Several scholars have interpreted Russell s views on logic with the help of the interpretative tool introduced by van Heijenoort,. They have commonly argued that Russell s is a clear-cut case of the view of logic as language. In the present study a detailed reconstruction of the view and its implications is provided, and it is argued that the interpretation is seriously misleading as to what he really thought about logic. I argue that Russell s conception is best understood by setting it in its proper philosophical context. This is constituted by Immanuel Kant s theory of mathematics. Kant had argued that purely conceptual thought basically, the logical forms recognised in Aristotelian logic cannot capture the content of mathematical judgments and reasonings. Mathematical cognition is not grounded in logic but in space and time as the pure forms of intuition. As against this view, Russell argued that once logic is developed into a proper tool which can be applied to mathematical theories, Kant s views turn out to be completely wrong. In the present work the view is defended that Russell s logicist philosophy of mathematics, or the view that mathematics is really only logic, is based on what I term the Bolzanian account of logic . According to this conception, (i) the distinction between form and content is not explanatory in logic; (ii) the propositions of logic have genuine content; (iii) this content is conferred upon them by special entities, logical constants . The Bolzanian account, it is argued, is both historically important and throws genuine light on Russell s conception of logic.

Constructive Perspectives on Inductive Logic

Constructive (intuitionist, anti-realist) semantics has thus far been lacking an adequate concept of truth in infinity concerning factual (i.e., empirical, non-mathematical) sentences. One consequence of this problem is the difficulty of incorporating inductive reasoning in constructive semantics. It is not possible to formulate a notion for probable truth in infinity if there is no adequate notion of what truth in infinity is. One needs a notion of a constructive possible world based on sensory experience. Moreover, a constructive probability measure must be defined over these constructively possible empirical worlds. This study defines a particular kind of approach to the concept of truth in infinity for Rudolf Carnap's inductive logic. The new approach is based on truth in the consecutive finite domains of individuals. This concept will be given a constructive interpretation. What can be verifiably said about an empirical statement with respect to this concept of truth, will be explained, for which purpose a constructive notion of epistemic probability will be introduced. The aim of this study is also to improve Carnap's inductive logic. The study addresses the problem of justifying the use of an "inductivist" method in Carnap's lambda-continuum. A correction rule for adjusting the inductive method itself in the course of obtaining evidence will be introduced. Together with the constructive interpretation of probability, the correction rule yields positive prior probabilities for universal generalizations in infinite domains.

No Wrong Door: The Salvation Army Doorways Case Management Service

The primary aim of the evaluation project was to determine the impact of The Salvation Army Doorways case management model in relation to client satisfaction and meeting client needs. Specifically, the project sought to: • Provide an overview of structural barriers confronting individuals who are entrenched in enduring poverty; • Provide an overview of the specific issues encountered by individuals, including insight into personal challenges, hopes and dreams; • Analyse the effectiveness of Doorways interventions, specifically: o How important is the relationship with staff at the Doorways centre? o What skills and knowledge do staff need? o What Doorways activities are the most successful in breaking the cycle of poverty? o How important are community connections? • Provide information to The Salvation Army on what works well in Doorways and how Doorways might be improved or enhanced.

Assessment of transit quality of service with occupancy load factor and passenger travel time measures

This paper investigates quality of service (QoS) and resource productivity implications of transit route passenger loading and travel time. It highlights the value of occupancy load factor as a direct passenger comfort QoS measure. Automatic Fare Collection data for a premium radial bus route in Brisbane, Australia, is used to investigate time series correlation between occupancy load factor and passenger average travel time. Correlation is strong across the entire span of service in both directions. Passengers tend to be making longer, peak direction commuter trips under significantly less comfortable conditions than off-peak. The Transit Capacity and Quality of Service Manual uses segment based load factor as a measure of onboard loading comfort QoS. This paper provides additional insight into QoS by relating the two route based dimensions of occupancy load factor and passenger average travel time together in a two dimensional format, both from the passenger’s and operator’s perspectives. Future research will apply Value of Time to QoS measurement, reflecting perceived passenger comfort through crowding and average time spent onboard. This would also assist in transit service quality econometric modeling. The methodology can be readily applied in a practical setting where AFC data for fixed scheduled routes is available. The study outcomes also provide valuable research and development directions.

How to develop an online community for pre-service and early career teachers

This paper contributes a number of design principles for developing large-scale online communities of pre-service and early career teachers (PS&ECTs). It presents the paradigms of connected learning, networked learning and communities of practice and contrasts them. It describes the potential for online communities to meet the needs of PS&ECTs and it identifies gaps that exist within certain types of existing online communities that currently support PS&ECTs. The paper proposes design principles for a new type of online community for PS&ECTs. These principles are drawn from the literature and from the preliminary outcomes of a pilot study.

A fuzzy logic based dynamic wave model inversion algorithm for canal regulation

A fuzzy logic based centralized control algorithm for irrigation canals is presented. Purpose of the algorithm is to control downstream discharge and water level of pools in the canal, by adjusting discharge release from the upstream end and gates settings. The algorithm is based on the dynamic wave model (Saint-Venant equations) inversion in space, wherein the momentum equation is replaced by a fuzzy rule based model, while retaining the continuity equation in its complete form. The fuzzy rule based model is developed on fuzzification of a new mathematical model for wave velocity, the derivational details of which are given. The advantages of the fuzzy control algorithm, over other conventional control algorithms, are described. It is transparent and intuitive, and no linearizations of the governing equations are involved. Timing of the algorithm and method of computation are explained. It is shown that the tuning is easy and the computations are straightforward. The algorithm provides stable, realistic and robust outputs. The disadvantage of the algorithm is reduced precision in its outputs due to the approximation inherent in the fuzzy logic. Feed back control logic is adopted to eliminate error caused by the system disturbances as well as error caused by the reduced precision in the outputs. The algorithm is tested by applying it to water level control problem in a fictitious canal with a single pool and also in a real canal with a series of pools. It is found that results obtained from the algorithm are comparable to those obtained from conventional control algorithms.

Ruminococcus bromii, identification and isolation as a dominant community member in the rumen of cattle fed a barley diet

Aims: To identify dominant bacteria in grain (barley)-fed cattle for isolation and future use to increase the efficiency of starch utilization in these cattle. Methods and Results: Total DNA was extracted from samples of the rumen contents from eight steers fed a barley diet for 9 and 14 days. Bacterial profiles were obtained using denaturing gradient gel electrophoresis (DGGE) of the PCR-amplified V2/V3 region of the 16S rRNA genes from total bacterial DNA. Apparently dominant bands were excised and cloned, and the clone insert sequence was determined. One of the most common and dominant bacteria present was identified as Ruminococcus bromii. This species was subsequently isolated using traditional culture-based techniques and its dominance in the grain-fed cattle was confirmed using a real-time Taq nuclease assay (TNA) designed for this purpose. In some animals, the population of R. bromii reached densities above 1010R. bromii cell equivalents per ml or approximately 10% of the total bacterial population. Conclusions: Ruminococcus bromii is a dominant bacterial population in the rumen of cattle fed a barley-based diet. Significance and Impact of the Study: Ruminococcus bromii YE282 may be useful as a probiotic inoculant to increase the efficiency of starch utilization in barley-fed cattle. The combination of DGGE and real-time TNA has been an effective process for identifying and targeting for isolation, dominant bacteria in a complex ecosystem.

Distributed Robotic Vision as a service

The vision sense of standalone robots is limited by line of sight and onboard camera capabilities, but processing video from remote cameras puts a high computational burden on robots. This paper describes the Distributed Robotic Vision Service, DRVS, which implements an on-demand distributed visual object detection service. Robots specify visual information requirements in terms of regions of interest and object detection algorithms. DRVS dynamically distributes the object detection computation to remote vision systems with processing capabilities, and the robots receive high-level object detection information. DRVS relieves robots of managing sensor discovery and reduces data transmission compared to image sharing models of distributed vision. Navigating a sensorless robot from remote vision systems is demonstrated in simulation as a proof of concept.

An On-Line Algorithm for the Location of Cross Point Faults in Programmable Logic Arrays

An on-line algorithm is developed for the location of single cross point faults in a PLA (FPLA). The main feature of the valgorithm is the determination of a fault set corresponding to the response obtained for a failed test. For the apparently small number of faults in this set, all other tests are generated and a fault table is formed. Subsequently, an adaptive procedure is used to diagnose the fault. Functional equivalence test is carried out to determine the actual fault class if the adaptive testing results in a set of faults with identical tests. The large amount of computation time and storage required in the determination, a priori, of all the fault equivalence classes or in the construction of a fault dictionary are not needed here. A brief study of functional equivalence among the cross point faults is also made.

Structural Damage Detection Using Modal Curvature and Fuzzy Logic

A fuzzy logic system (FLS) with a new sliding window defuzzifier is proposed for structural damage detection using modal curvatures. Changes in the modal curvatures due to damage are fuzzified using Gaussian fuzzy sets and mapped to damage location and size using the FLS. The first four modal vectors obtained from finite element simulations of a cantilever beam are used for identifying the location and size of damage. Parametric studies show that modal curvatures can be used to accurately locate the damage; however, quantifying the size of damage is difficult. Tests with noisy simulated data show that the method detects damage very accurately at different noise levels and when some modal data are missing.

Social media for social good: Value creation in social media based cause brand communities

This thesis presents a case study of value creation in the social media based brand communities of two Australian cause organisations. It improves understanding of how value is created in this increasingly important environment by examining participants' posts and practices, organisational strategies and supporters' perceptions of value creation. The thesis shows that while value creation is complex, value is generated for supporters and organisations alike, and positively influences the outcomes for recipients of the vital services provided by the cause organisations. Value creation in this context thus manifests social good for supporters, service recipients and society at large.

Tacit Pedagogical Knowing: At the Core of Teacher's Professionality

The purpose of this research was to examine class teachers' interactive pedagogical thinking and action, in other words their tacit pedagogical knowing. Tacit pedagogical knowing was defined as a process in interactive teaching situation, through which a teacher finds solutions to surprising and challenging situations, pedagogical moments, so that the lesson continues. Teachers are able to describe their tacit pedagogical knowing afterwards and also find some reasons for it as well. More specifically, the aim was to study, 1) how does a class teacher's tacit pedagogical knowing appear in teacher's actions, and 2) what kinds of contents include in class teacher's tacit pedagogical knowing. The research material was gathered from four class teachers by videotaping their lessons and by stimulated recall interviews. In addition to this, the researcher spent a relatively long time in the research participants' classrooms. She conducted initial interviews and orientating observations by means of participant observation in order to get to know the participants and their contexts better. A phenomenologically oriented approach, which proceeded by following abductive logic, was used in the analysis procedures of the videotaped and stimulated recall data. In addition to this, correlation examinations were used in the validation of stimulated recall data analyses. The appearance of the tacit pedagogical knowing was observed in the videotaped data. The contents of tacit pedagogical knowing were defined by the analyses of stimulated recall data. According to the research results, a class teacher's tacit pedagogical knowing appears in the maintenance of the pedagogical relation, the teacher's relation to content, and the didactical relation. The contents of class teacher's tacit pedagogical knowing were many sided. The maintenance of the pedagogical relation, the teacher's relation to content, and the didactical relation were elements of the contents as well. In addition to these, the maintenance of teacher's pedagogical authority, the maintenance of the student's role or pedagogical authority, and the awareness of the nature of the content of instruction are included in the contents of teacher's tacit pedagogical knowing. The phenomenon of tacit pedagogical knowing was observed to be clearly a process-like and relational phenomenon. Based on the research results, a model of teacher's tacit pedagogical knowing was developed. Using the model, it is possible to illustrate the factors that are at the core of teacher's professionality. This model could be used in the context of teacher education, supervision, or in-service training.

Dispelling Myths about Doctorates in the Australian Public Service

Many doctoral candidates pursue their studies with the goal of ultimately securing an academic position in a university. There are, however, many other career options for doctoral graduates in non-academic positions, including a career in the public service, either at the state or national level. Public service managers are interested in people who can demonstrate a range of skills and capacities, and most doctoral graduates will have developed a range of these skills.