Some Pioneering Formal Reconstructions of Diodorus' Master Argument

The article deals with some current pioneering formal reconstructions and interpretations of the problem well known in antiquity as The Master Argument. This problem is concerning with enrichment of formal logical systems with modal and temporal notions. The opening topic is devoted to reconstruction of Arthur Prior. while the other here included approach to the problem arc mostly reactions. revisions or additions to this one

Using hysteresis analysis of high-resolution water quality monitoring data, including uncertainty, to infer controls on nutrient and sediment transfer in catchments

A large proportion of nutrients and sediment is mobilised in catchments during storm events. Therefore understanding a catchment's hydrological behaviour during storms and how this acts to mobilise and transport nutrients and sediment to nearby watercourses is extremely important for effective catchment management. The expansion of available in-situ sensors is allowing a wider range of water quality parameters to be monitored and at higher temporal resolution, meaning that the investigation of hydrochemical behaviours during storms is increasingly feasible. Studying the relationship between discharge and water quality parameters in storm events can provide a valuable research tool to infer the likely source areas and flow pathways contributing to nutrient and sediment transport. Therefore, this paper uses 2years of high temporal resolution (15/30min) discharge and water quality (nitrate-N, total phosphorus (TP) and turbidity) data to examine hysteretic behaviour during storm events in two contrasting catchments, in the Hampshire Avon catchment, UK. This paper provides one of the first examples of a study which comprehensively examines storm behaviours for up to 76 storm events and three water quality parameters. It also examines the observational uncertainties using a non-parametric approach. A range of metrics was used, such as loop direction, loop area and a hysteresis index (HI) to characterise and quantify the storm behaviour. With two years of high resolution information it was possible to see how transport mechanisms varied between parameters and through time. This study has also clearly shown the different transport regimes operating between a groundwater dominated chalk catchment versus a surface-water dominated clay catchment. This information, set within an uncertainty framework, means that confidence can be derived that the patterns and relationships thus identified are statistically robust. These insights can thus be used to provide information regarding transport processes and biogeochemical processing within river catchments

Future Contingents, Freedom, And Foreknowledge

This essay is a contribution to the new trend and old tradition of analyzing theological fatalism in light of its relationship to logical fatalism. All results pertain to branching temporal systems that use the A-theory and assume presentism. The project focuses on two kinds of views about branching time. One position is true futurism, which designates what will occur regardless of contingency. The opposing view is open futurism, by which no possible course of events is privileged over others; that is, there are no soft facts. A contextualist theory of temporal standpoints, standpoint inheritance, is designed to enhance Priorian temporal logics. The proposal helps all branching time systems, not only those with an open future. Even though an account of temporal standpoints goes a long way towards aiding various analyses from a linguistic standpoint, theories that designate a true future ultimately succumb to philosophical difficulties. Under open futurism, standpoint inheritance commandeers the best semantic evidence for true futurism. Standpoint inheritance accounts for the evidence, but the evidence does not support true futurism\u27s stronger claims. Furthermore, attempts to explain why one timeline is privileged as the actual future lead to fatalism. Open futurism and a related kind of open theism are the only viable alternatives under dynamic, branching time. If true futurism is feasible at all, it is so only with a static or eternalist basis. Standpoint inheritance is very general. It is applied to every system discussed in this analysis to handle damning linguistic shortcomings of traditional logics. Standpoint inheritance yields several other fruitful results, too. The theory helps clarify what it is for characterizations of God\u27s beliefs to be soft and how his beliefs must differ from normal beliefs to retain softness. For open futurism, all strings of consecutive will\u27s and was\u27s can be reduced to at most two such operators under standpoint inheritance, but not under traditional theories. The open futurist distinction between will and will-inevitably is clarified, too. Standpoint inheritance allows for a supervaluationist semantics using open futurism as its basis instead of the usual true futurism. The theory of standpoint inheritance enhances dynamic, branching accounts of time to better compete with their static correlates