The Son of God and Trinitarian Identity Statements

Classical Trinitarians claim that Jesus—the Son of God—is truly God and that there is only one God and the Father is God, the Spirit is God, and the Father, Son, and Spirit are distinct. However, if the identity statement that ‘the Son is God’ is understood in the sense of numerical identity, logical incoherence seems immanent. Yet, if the identity statement is understood according to an ‘is’ of predication then it lacks accuracy and permits polytheism. Therefore, we argue that there is another sense of ‘is’ needed in trinitarian discourse that will allow the Christian to avoid logical incoherence while still fully affirming all that is meant to be affirmed in the confession ‘Jesus is God.’ We suggest a sense of ‘is’ that meets this need

A characterisation of generically rigid frameworks on surfaces of revolution

A foundational theorem of Laman provides a counting characterisation of the finite simple graphs whose generic bar-joint frameworks in two dimensions are infinitesimally rigid. Recently a Laman-type characterisation was obtained for frameworks in three dimensions whose vertices are constrained to concentric spheres or to concentric cylinders. Noting that the plane and the sphere have 3 independent locally tangential infinitesimal motions while the cylinder has 2, we obtain here a Laman-Henneberg theorem for frameworks on algebraic surfaces with a 1-dimensional space of tangential motions. Such surfaces include the torus, helicoids and surfaces of revolution. The relevant class of graphs are the (2,1)-tight graphs, in contrast to (2,3)-tightness for the plane/sphere and (2,2)-tightness for the cylinder. The proof uses a new characterisation of simple (2,1)-tight graphs and an inductive construction requiring generic rigidity preservation for 5 graph moves, including the two Henneberg moves, an edge joining move and various vertex surgery moves.Comment: 23 pages, 5 figures. Minor revisions - most importantly, the new version has a different titl

Interpreting Language in Context in CommandTalk

This paper will focus on how two representations of context are used in CommandTalk to correctly interpret the user's spoken utterances: situational context represents the current state of the simulation, and linguistic context represents the history of the user's linguistic acts

Insights into DNA platination within unusual structural settings

2D [1H, 15N] HSQC NMR spectroscopy has been used to monitor reaction and product formation between [Pt(15NH3)2I2] and nucleic acids possessing irregular topologies and containing site specific phosphorothioate substitution in the phosphodiester backbone. Comparison of the reaction profiles of dimer nucleic acids with and without phosphorothioate substitution is made with their short nucleic acid counterparts containing the key dimer components. Whereas d(GpA) is relatively unreactive towards [Pt(15NH3)2I2], NMR evidence suggests that the tandem sheared mismatch duplex d(GCG3pAGC)2 reacts to form the head-to-tail inter-strand G3-N7-Pt-G3-N7 cross-link. The equivalent phosphorothioate R,S-d(GsA) reacts to form a mono-iodo, mono-sulphur adduct, whereas the tandem sheared mismatch phosphorothioate duplex d(GCGsAG5C)2 (VIs) reacts to form the unusual intra-strand macrochelate [Pt(15NH3)2{d(VIs-G5-N7)},S]2+ in which platinum is attached at both sulphur and G5-N7. Experimental evidence supports the formation of a stabilized mismatch duplex in which platinum is attached to two nitrogen centres in the sequence d(CGCGpTGCG) in contrast to R,S-d(CGCGsT5GCG) for which NMR evidence supports macrochelate-stabilized hairpin loop formation cross-linked at both phosphorothioate sulphur and T5-N

Leading with political astuteness: A study of public managers in Australia, New Zealand and the United Kingdom

Combining quantitative survey data from over 1000 middle and senior public managers, as well as qualitative data from 42 in-depth interviews, the study sheds light on how managers understand politics in their work; how they rate their own and their colleagues’ political skills; how they use their political skills; and how these skills were developed. The report also sets forth recommendations to improve the development of managers’ political astuteness at the level of the individual, the organisation, and the professional body/training provider