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  1. Rationality as Effective Organisation of Interaction and Its Naturalist Framework.Cliff Hooker - 2011 - Axiomathes 21 (1):99-172.
    The point of this paper is to provide a principled framework for a naturalistic, interactivist-constructivist model of rational capacity and a sketch of the model itself, indicating its merits. Being naturalistic, it takes its orientation from scientific understanding. In particular, it adopts the developing interactivist-constructivist understanding of the functional capacities of biological organisms as a useful naturalistic platform for constructing such higher order capacities as reason and cognition. Further, both the framework and model are marked by the finitude and fallibility (...)
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  • Towards a General Theory of Reduction. Part I: Historical and Scientific Setting.C. A. Hooker - 1981 - Dialogue 20 (1):38-59.
    The Three Papers comprising this series, together with my earlier [34] also published in this journal, constitute an attempt to set out the major issues in the theoretical domain of reduction and to develop a general theory of theory reduction. The fourth paper, [34], though published separately from this trio, is integral to the presentation and should be read in conjunction with these papers. Even so, the presentation is limited in scope – roughly, to intertheoretic reduction among empirical theories – (...)
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  • A new approach to probabilities in mechanics.Rachel Wallace - 1981 - Erkenntnis 16 (2):243 - 262.
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  • Towards a General Theory of Reduction. Part II: Identity in Reduction.C. A. Hooker - 1981 - Dialogue 20 (2):201-236.
    Part I of this trilogy, Historical and Scientific Setting, set out a general context for selecting a certain subclass of inter-theoretic relations as achieving appropriate explanatory and ontological unification – hence for properly being labelled reductive. Something of the complexity of these relations in real science was explored. The present article concentrates on the role which identity plays in structuring the reduction relation and so in achieving ontological and explanatory unification.
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  • Graham Nerlich: The Shape of Space.C. A. Hooker - 1981 - Dialogue 20 (4):783-798.
    Space is a particular, the particular thing structuring our world. It has shape. And size. And reference to space and its properties is fundamental to physical explanation. This, in a nutshell, is Nerlich's position. Espousing it Nerlich marches against the tide of philosophical opinion which dominated the first half or more of this century.His arguments are laid out in a wholly enjoyable book: clearly and simply written, ‘meaty’ in argument and lucid in explanation. The book does not have the same (...)
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  • Axiomatic Quantum Mechanics and Completeness.Carsten Held - 2008 - Foundations of Physics 38 (8):707-732.
    The standard axiomatization of quantum mechanics (QM) is not fully explicit about the role of the time-parameter. Especially, the time reference within the probability algorithm (the Born Rule, BR) is unclear. From a probability principle P1 and a second principle P2 affording a most natural way to make BR precise, a logical conflict with the standard expression for the completeness of QM can be derived. Rejecting P1 is implausible. Rejecting P2 leads to unphysical results and to a conflict with a (...)
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