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Field of Research : Logic
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    Discovery Early Career Researcher Award - Grant ID: DE220100544

    Funder
    Australian Research Council
    Funding Amount
    $356,000.00
    Summary
    Fuzzy logics for graded reasoning in applied contexts. Many things we care about, such as friendship or safety, come in degrees, but our current systems for tracking information are not built to handle this. This project aims to enhance many-valued logic as a tool to manage graded information. It expects to generate new knowledge in the area of logical languages for fuzzy databases and finite domains using an interdisciplinary approach between philosophers, mathematicians and computer scientists .... Fuzzy logics for graded reasoning in applied contexts. Many things we care about, such as friendship or safety, come in degrees, but our current systems for tracking information are not built to handle this. This project aims to enhance many-valued logic as a tool to manage graded information. It expects to generate new knowledge in the area of logical languages for fuzzy databases and finite domains using an interdisciplinary approach between philosophers, mathematicians and computer scientists. Expected outcomes include new logical methods and modelling techniques for many-valued logics. This will provide significant benefits, such as the enhancement of fuzzy logic as a tool in artificial intelligence to handle reasoning with imprecise concepts, giving meaning to complex real-life data.
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    Discovery Early Career Researcher Award - Grant ID: DE120102543

    Funder
    Australian Research Council
    Funding Amount
    $375,000.00
    Summary
    Models of paradox in non-classical mereotopology. Logical paradoxes have beset our best philosophical theories for millennia. In the strong tradition of Australian philosophical logic, this project will test the hypothesis that paradoxes are conceptual boundaries. Mathematical models provide a formal explanatory picture, telling us why there are logical paradoxes at all.
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    Discovery Projects - Grant ID: DP140103820

    Funder
    Australian Research Council
    Funding Amount
    $746,000.00
    Summary
    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.
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