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Irreducible Complexity in Pure Mathematics

In Herbert Hrachovec & Alois Pichler (eds.), Wittgenstein and the Philosophy of Information: Proceedings of the 30th International Ludwig Wittgenstein-Symposium in Kirchberg, 2007. De Gruyter. pp. 261-272 (2008)

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  1. The Implications of Interactions for Science and Philosophy.Carlos Gershenson - 2013 - Foundations of Science 18 (4):781-790.
    Reductionism has dominated science and philosophy for centuries. Complexity has recently shown that interactions—which reductionism neglects—are relevant for understanding phenomena. When interactions are considered, reductionism becomes limited in several aspects. In this paper, I argue that interactions imply nonreductionism, non-materialism, non-predictability, non-Platonism, and non-Nihilism. As alternatives to each of these, holism, informism, adaptation, contextuality, and meaningfulness are put forward, respectively. A worldview that includes interactions not only describes better our world, but can help to solve many open scientific, philosophical, and (...)
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  • Complexity and information: Measuring emergence, self‐organization, and homeostasis at multiple scales.Carlos Gershenson & Nelson Fernández - 2013 - Complexity 18 (2):29-44.
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  • Revisiting science in culture: Science as story telling and story revising.Paul Grobstein - 2005 - Journal of Research Practice 1 (1):Article M1.
    Both science itself, and the human culture of which it is a part, would benefit from a story of science that encourages wider engagement with and participation in the processes of scientific exploration. Such a story, based on a close analysis of scientific method, is presented here. It is the story of science as story telling and story revising. The story of science as story suggests that science can and should serve three distinctive functions for humanity: providing stories that may (...)
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