933 resultados para Foundations.
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Mode of access: Internet.
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Mode of access: Internet.
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Mode of access: Internet.
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The original formed the first part of "Festschrift zur feier der Enthüllung des Gauss-Weber-Denkmals in Göttingen, Grundlagen der Geometrie," with the additions made by the author in the French translation, Paris, 1901, incorporated.
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Mode of access: Internet.
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Bibliography: p. 425-457.
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"Suggestions for further reading" at end of each chapter.
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Published in 1922 as volume I of "A short history of the American people."
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The Church-Turing Thesis is widely regarded as true, because of evidence that there is only one genuine notion of computation. By contrast, there are nowadays many different formal logics, and different corresponding foundational frameworks. Which ones can deliver a theory of computability? This question sets up a difficult challenge: the meanings of basic mathematical terms (like "set", "function", and "number") are not stable across frameworks. While it is easy to compare what different frameworks say, it is not so easy to compare what they mean. We argue for some minimal conditions that must be met if two frameworks are to be compared; if frameworks are radical enough, comparison becomes hopeless. Our aim is to clarify the dialectical situation in this bourgeoning area of research, shedding light on the nature of non-classical logic and the notion of computation alike.
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Recent progress in fabrication and control of single quantum systems presage a nascent technology based on quantum principles. We review these principles in the context of specific examples including: quantum dots, quantum electromechanical systems, quantum communication and quantum computation.
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Community paediatrics strives to integrate the biology of health into the social and psychological worlds within which children grow and develop. Consumer demand for limited community paediatric clinical services is increasing and medico-legal pressures escalate professional and personal concern. Meanwhile, the profession, through training and professional support, has struggled to keep up. Research into community paediatrics and its integration into policy and clinical practice remains limited, raising the perception that it is a 'soft' science. Our viewpoint is that necessary progress in this field requires leadership, apprenticeship and research. We argue that to build firm foundations for the future requires structures to enable clinical specialisation and continuing professional development in this area.