Representing temporal relationships between events and their effects

Temporal relationships between events and their effects are complex. As the effects of a given event, a proposition may change its truth value immediately after the occurrence of the event and remain true until some other events occur, while another proposition may only become true/false from some time after the causal event has occurred. Expressing delayed effects of events has been a problematic question in most existing theories of action and change. This paper presents a new formalism for representing general temporal causal relationships between events and their effects. It allows expressions of both immediate and delayed effects of events, and supports common-sense assertions such as "effects cannot precede their causes".

Components of error of maps from remotely sensed images

The concept of a “true” ground-truth map is introduced, from which the inaccuracy/error of any production map may be measured. A partition of the mapped region is defined in terms of the “residual rectification” transformation. Geometric RMS-type and Geometric Distortion error criteria are defined as well as a map mis-classification error criterion (the latter for hard and fuzzy produc-tion maps). The total map error is defined to be the sum (over each set of the map partition men-tioned above) of these three error components integrated over each set of the partition.

Using set operations to deal with the frame problem

This paper presents a simple approach to the so-called frame problem based on some ordinary set operations, which does not require non-monotonic reasoning. Following the notion of the situation calculus, we shall represent a state of the world as a set of fluents, where a fluent is simply a Boolean-valued property whose truth-value is dependent on the time. High-level causal laws are characterised in terms of relationships between actions and the involved world states. An effect completion axiom is imposed on each causal law, which guarantees that all the fluents that can be affected by the performance of the corresponding action are always totally governed. It is shown that, compared with other techniques, such a set operation based approach provides a simpler and more effective treatment to the frame problem.

Ontological considerations of time, meta-predicates and temporal propositions

A natural approach to representing and reasoning about temporal propositions (i.e., statements with time-dependent truth-values) is to associate them with time elements. In the literature, there are three choices regarding the primitive for the ontology of time: (1) instantaneous points, (2) durative intervals and (3) both points and intervals. Problems may arise when one conflates different views of temporal structure and questions whether some certain types of temporal propositions can be validly and meaningfully associated with different time elements. In this paper, we shall summarize an ontological glossary with respect to time elements, and diversify a wider range of meta-predicates for ascribing temporal propositions to time elements. Based on these, we shall also devise a versatile categorization of temporal propositions, which can subsume those representative categories proposed in the literature, including that of Vendler, of McDermott, of Allen, of Shoham, of Galton and of Terenziani and Torasso. It is demonstrated that the new categorization of propositions, together with the proposed range of meta-predicates, provides the expressive power for modeling some typical temporal terms/phenomena, such as starting-instant, stopping-instant, dividing-instant, instigation, termination and intermingling etc.

A framework for state-based time-series analysis and prediction

Time-series analysis and prediction play an important role in state-based systems that involve dealing with varying situations in terms of states of the world evolving with time. Generally speaking, the world in the discourse persists in a given state until something occurs to it into another state. This paper introduces a framework for prediction and analysis based on time-series of states. It takes a time theory that addresses both points and intervals as primitive time elements as the temporal basis. A state of the world under consideration is defined as a set of time-varying propositions with Boolean truth-values that are dependent on time, including properties, facts, actions, events and processes, etc. A time-series of states is then formalized as a list of states that are temporally ordered one after another. The framework supports explicit expression of both absolute and relative temporal knowledge. A formal schema for expressing general time-series of states to be incomplete in various ways, while the concept of complete time-series of states is also formally defined. As applications of the formalism in time-series analysis and prediction, we present two illustrating examples.

Creative leadership & communities of practice

This Second Wave presentation focused on 'Creative Leadership and Communities of Practice', with particular reference to issues of trust affecting young people, unemployment and wider uncertainties in an economic recession when people were facing job cuts and in a social environment characterised by cynicism and a downturn in trust. Young people who join Second Wave are brought into a community of practice (CoP) (Lave and Wenger, 1991; Wenger, 1999) involving a dynamic, fluid process which is distinctive in its transformative power to change people's lives. The philosophy behind this involves Dewey's notion of the 'active self' (Dewey, 1916) and the theories of 'social constructivism' (Vygotsky, 1978). The process fosters trust, confidence and social learning (Bandura, 1977; Vygotsky, 1978) in which young people join in with a dialogue involving participation in the youth-centred creative space. The 'border zone' (Heath, 1994) in that creative space enables young people to connect with each other in the specialist field of youth arts. The youth-centred partnerships involved lead to greater confidence and development in a range of important artistic, social, cognitive and emotional skills and opportunities. Ultimately, the young person may become engaged in multi-agency working with Second Wave's external partners. Throughout all of these processes, young people are encouraged progressively to develop a more 'active self' to engage proactively with many different beneficial opportunities relating to the performing arts. In an era in which there has been a loss of trust in public life this is particularly important. If trust is defined in part as a belief in the honesty, competence and benevolence of others, it tends to act like 'social glue', cushioning difficult situations and enabling actions to take place easily that otherwise would not be permissible. The Edelman Trust Barometer for 2009 has recorded a marked diminution of trust in corporations, businesses and government, as a result of the credit crunch. While the US and parts of Europe were showing recovery from a generalised loss of trust by mid-year 2009, the UK had not. Social attitudes in Britain may be hardening - from being a nation of sceptics we may be becoming a nation of cynics: for example, only 13% of the population surveyed by Edelman trust politicians to tell the truth. In this situation, there is a need to promote positive measures to build trust. The presentation aims described key aspects of Second Wave's approach to identify and disseminate its model of good practice to make this more explicit and accessible to others. It is with awareness of the profoundly challenging circumstances facing young people, particularly but not exclusively in inner city urban areas such as Deptford, and the valuable contribution youth arts work can make to their well-being and development, that the presentation was carried out. In an era of generalised mistrust, the work done at Second Wave is crucial in empowering and supporting young people to find a positive and creative direction as part of the community.

Ghost and self: Jung's paradigm shift and a response to Zinkin

Zinkin's lucid challenge to Jung makes perfect sense. Indeed, it is the implications of this `making sense' that this paper addresses. For Zinkin's characterization of the `self' takes it as a `concept' requiring coherence; a variety of abstract non-contextual knowledge that itself has a mythical heritage. Moreover, Zinkin's refinement of Jung seeks to make his work fit for the scientific paradigm of modernity. In turn, modernity's paradigm owes much to Newton's notion of knowledge via reductionism. Here knowledge or investigation is divided up into the smallest possible units with the aim of eventually putting it all together into `one' picture of scientific truth. Unfortunately, `reductionism' does not do justice to the resonant possibilities of Jung's writing. These look forward to a new scientific paradigm of the twenty-first century, of the interactive `field', emergence and complexity theory. The paper works paradoxically by discovering Zinkin's `intersubjective self' after all, in two undervalued narratives by Jung, his doctoral thesis and a short late ghost story. However, in the ambivalences and radical fictional experimentation of these fascinating texts can be discerned an-Other self, one both created and found. [From the Publisher]

Socrates and Plato on asking ‘what is x?’

The Socratic elenchus is a method of philosophical enquiry attributed by Plato, in his dialogues, to his teacher Socrates. It is a method that uses a dialectic technique of questioning and answering to try to discover the truth of the issue under investigation. For Plato’s Socrates, the fundamental question for human beings is that of how to live, thus the enquiries he initiates concern our understanding of what it is to act ethically. In order to begin to enquire into how to act in a virtuous manner, however, Socrates claimed that we must first know what virtue is. We must, that is, first understand the meaning of virtue before we can consider its application it to any particular kind of action; we must first be able to answer the question “what is x?” before considering whether a particular action or kind of action is an instance of x. This requirement leads to what is known as the ‘Socratic Paradox’: if we have to first establish what x means before we confirm or discount cases of it, then how can our enquiry ever commence; how can we begin in asking questions about x if we don’t yet know what x is? Philosophy has continued to grapple with the Socratic paradox since Plato’s formulation of it. This presentation will explain how the paradox is produced out of the elenchus and consider the ways in which Wittgenstein’s account of family resemblance sheds new light upon this age-old issue. [From the Author]