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Captain Robert Falcon Scott's plan for the attempt to reach the South Pole during the Terra Nova Expedition was to use horses, motorised sledges and dog teams to lay depots on the Ross Ice Shelf to advance the effective starting point for the three man-hauling groups to the foot of the Beardmore Glacier. His idea was that two of the groups would turn back after two and four weeks, after depositing supplies for the final polar party to rely on during the return journey. In this paper, the logic of the mathematical ‘jeep problem’ is applied to derive the theoretically optimal points at which the support parties should have turned back in order to optimise the relationship between distance and consumption of supplies. The results show that, according to this model, Scott took both his support parties along too far, especially the last support party under Lieutenant E.R.G.R. ‘Teddy’ Evans.
In this work we investigate the internal syntax and semantics of quantifier phrases (QP) involving cardinal numerals. Concentrating on a set of previously documented puzzles concerning Case and number agreement within the numeral phrase in Russian, we argue that these agreement patterns follow naturally if one recognizes three structural layers in a numeral-based QP: the countability layer, the number layer and the quantificational layer. Our central theoretical claim is that the countability layer is implemented as a (pseudo-)classifier structure whose morphological manifestation obeys a principle of syntactic ‘visibility’. Our specific claim for Russian is that, diachronically, this countability layer has emerged as a result of the loss of the dual number in the course of transition between Old and Modern Russian. We strengthen our conclusions with psycholinguistic evidence from a sentence completion study that tests Russian speakers’ sensitivity to the countability layer.
Central to a theory of the atonement is one's position on forgiveness and satisfaction. These two issues are interrelated, but it is unclear whether one takes precedence over the other. Specifically, must one make satisfaction to remove the guilt incurred by sin prior to forgiveness, or can a victim forgive a wrongdoer independently of any work of satisfaction? Richard Swinburne argues that satisfaction must precede forgiveness, but I defend the view that forgiveness is a manifestation of love, and as such satisfaction is not required prior to forgiveness. Instead, I argue that forgiveness can and should precede satisfaction, and I highlight important implications of this view for a theory of the atonement.