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Randomness everywhere

Nature 400:319-320 (1999)

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  1. Incompleteness, complexity, randomness and beyond.Cristian S. Calude - 2002 - Minds and Machines 12 (4):503-517.
    Gödel's Incompleteness Theorems have the same scientific status as Einstein's principle of relativity, Heisenberg's uncertainty principle, and Watson and Crick's double helix model of DNA. Our aim is to discuss some new faces of the incompleteness phenomenon unveiled by an information-theoretic approach to randomness and recent developments in quantum computing.
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  • Computing with cells and atoms in a nutshell.Cristian S. Calude & Gheorghe P.?un - 2000 - Complexity 6 (1):38-48.
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  • Critical Computation: Digital Automata and General Artificial Thinking.Luciana Parisi - 2019 - Theory, Culture and Society 36 (2):89-121.
    As machines have become increasingly smart and have entangled human thinking with artificial intelligences, it seems no longer possible to distinguish among levels of decision-making that occur in the newly formed space between critical reasoning, logical inference and sheer calculation. Since the 1980s, computational systems of information processing have evolved to include not only deductive methods of decision, whereby results are already implicated in their premises, but have crucially shifted towards an adaptive practice of learning from data, an inductive method (...)
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  • Naturalizing Badiou: mathematical ontology and structural realism.Fabio Gironi - 2014 - New York: Palgrave-Macmillan.
    This thesis offers a naturalist revision of Alain Badiou’s philosophy. This goal is pursued through an encounter of Badiou’s mathematical ontology and theory of truth with contemporary trends in philosophy of mathematics and philosophy of science. I take issue with Badiou’s inability to elucidate the link between the empirical and the ontological, and his residual reliance on a Heideggerian project of fundamental ontology, which undermines his own immanentist principles. I will argue for both a bottom-up naturalisation of Badiou’s philosophical approach (...)
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