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The geometry of impossible, or contradictory objects and its applications to computing and cognition. The principal aim is pure research, the increase of knowledge within the Theory of Inconsistency and particularly its mathematical aspects, to be available to the national and world community. Additionally, a new stock of hitherto-unseen images (still, moving and three-dimensional) will be constructed in a virtual reality environment. In addition to enhancing Australia's strong reputation in log ....The geometry of impossible, or contradictory objects and its applications to computing and cognition. The principal aim is pure research, the increase of knowledge within the Theory of Inconsistency and particularly its mathematical aspects, to be available to the national and world community. Additionally, a new stock of hitherto-unseen images (still, moving and three-dimensional) will be constructed in a virtual reality environment. In addition to enhancing Australia's strong reputation in logic, there are spin-offs for mathematics, cognitive science, computer studies, and the arts and entertainment industries.Read moreRead less
M.C.Escher and his Contemporaries: the Genesis of the Impossible. The project aims to produce a conceptual history of the twentieth-century impossible pictures movement which developed around M.C.Escher, to classify kinds of impossible pictures, and particularly to establish priorities over who discovered what. This requires geometrical construction, and rigorous logical and mathematical analysis. The project will employ the novel techniques available within the theory of inconsistency. The sign ....M.C.Escher and his Contemporaries: the Genesis of the Impossible. The project aims to produce a conceptual history of the twentieth-century impossible pictures movement which developed around M.C.Escher, to classify kinds of impossible pictures, and particularly to establish priorities over who discovered what. This requires geometrical construction, and rigorous logical and mathematical analysis. The project will employ the novel techniques available within the theory of inconsistency. The significance of this work is that it demonstrates the rich conceptual resources available within inconsistent content. Expected outcomes are a book aimed at the general reader, technical articles in logic and mathematics journals, and a expanded understanding of our human ability to grasp inconsistent visual contents. Read moreRead less