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Brian Hill [12]Brian V. Hill [9]
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Profile: Brian Hill
  1. Francesca Poggiolesi & Brian Hill (forthcoming). Analytic Logic of Proofs. Annals of Pure and Applied Logic.
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  2. Francesca Poggiolesi & Brian Hill (forthcoming). Common Knowledge: Finite Calculus with Syntactic Cut-Elimination Procedure. Logique Et Analyse.
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  3. Brian Hill (2013). Awareness and Equilibrium. Synthese 190 (5):851-869.
    There has been a recent surge of interest among economists in developing models of doxastic states that can account for some aspects of human cognitive limitations that are ignored by standard formal models, such as awareness. Epistemologists purport to have a principled reason for ignoring the question of awareness: under the equilibrium conception of doxastic states they favour, a doxastic state comprises the doxastic commitments an agent would recognise were he fully aware, so the question of awareness plays no role. (...)
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  4. Brian V. Hill (2013). The Schooling of Ethics. Educational Philosophy and Theory:1-15.
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  5. Brian Hill (2012). Fiction, Counterfactuals: The Challenge for Logic. In. In Torres Juan, Pombo Olga, Symons John & Rahman Shahid (eds.), Special Sciences and the Unity of Science. Springer. 277--299.
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  6. Brian Hill (2010). Awareness Dynamics. Journal of Philosophical Logic 39 (2):113 - 137.
    In recent years, much work has been dedicated by logicians, computer scientists and economists to understanding awareness, as its importance for human behaviour becomes evident. Although several logics of awareness have been proposed, little attention has been explicitly dedicated to change in awareness. However, one of the most crucial aspects of awareness is the changes it undergoes, which have countless important consequences for knowledge and action. The aim of this paper is to propose a formal model of awareness change, and (...)
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  7. Brian Hill & Francesca Poggiolesi (2010). A Contraction-Free and Cut-Free Sequent Calculus for Propositional Dynamic Logic. Studia Logica 94 (1):47 - 72.
    In this paper we present a sequent calculus for propositional dynamic logic built using an enriched version of the tree-hypersequent method and including an infinitary rule for the iteration operator. We prove that this sequent calculus is theoremwise equivalent to the corresponding Hilbert-style system, and that it is contraction-free and cut-free. All results are proved in a purely syntactic way.
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  8. Hans van Ditmarsch, Brian Hill & Ondrej Majer (2009). Logic of Change, Change of Logic. Synthese 171 (2):227 - 234.
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  9. Brian Hill (2009). Le Problème Dynamique de L'Induction. Dialogue 48 (04):701-.
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  10. Brian Hill (2009). Living Without State-Independence of Utilities. Theory and Decision 67 (4):405-432.
    This article is concerned with the representation of preferences which do not satisfy the ordinary axioms for state-independent utilities. After suggesting reasons for not being satisfied with solutions involving state-dependent utilities, an alternative representation shall be proposed involving state-independent utilities and a situation-dependent factor. The latter captures the interdependencies between states and consequences. Two sets of axioms are proposed, each permitting the derivation of subjective probabilities, state-independent utilities, and a situation-dependent factor, and each operating in a different framework. The first (...)
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  11. Brian V. Hill (2009). Seeking Understanding by Which to Educate. Educational Philosophy and Theory 41 (7):761-764.
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  12. Hans van Ditmarsch, Brian Hill & Ondrej Majer (2009). Logic of Change, Change of Logic. Synthese 171 (2):227-234.
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  13. Brian Hill (2008). Towards a “Sophisticated” Model of Belief Dynamics. Part I: The General Framework. Studia Logica 89 (1):81 - 109.
    It is well-known that classical models of belief are not realistic representations of human doxastic capacity; equally, models of actions involving beliefs, such as decisions based on beliefs, or changes of beliefs, suffer from a similar inaccuracies. In this paper, a general framework is presented which permits a more realistic modelling both of instantaneous states of belief, and of the operations involving them. This framework is motivated by some of the inadequacies of existing models, which it overcomes, whilst retaining technical (...)
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  14. Brian Hill (2008). Towards a “Sophisticated” Model of Belief Dynamics. Part II: Belief Revision. Studia Logica 89 (3):291 - 323.
    In the companion paper (Towards a “sophisticated” model of belief dynamics. Part I), a general framework for realistic modelling of instantaneous states of belief and of the operations involving them was presented and motivated. In this paper, the framework is applied to the case of belief revision. A model of belief revision shall be obtained which, firstly, recovers the Gärdenfors postulates in a well-specified, natural yet simple class of particular circumstances; secondly, can accommodate iterated revisions, recovering several proposed revision operators (...)
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  15. Brian V. Hill (1989). 'Spiritual Development' in the Education Reform Act: A Source of Acrimony, Apathy or Accord? British Journal of Educational Studies 37 (2):169 - 182.
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  16. Brian V. Hill (1975). What's Open About Open Education. In David Nyberg (ed.), The Philosophy of Open Education. Routledge & K. Paul. 3--13.
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  17. Brian V. Hill (1972). Behavior, Learning and Control: Some Philosophical Difficulties in the Writings of B. F. Skinner. Educational Theory 22 (2):230-241.
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  18. Brian V. Hill (1972). Education for Rational Morality or Moral Rationality. Educational Theory 22 (3):286-292.
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  19. Brian V. Hill (1972). Teaching Children to Make Moral Decisions. Educational Philosophy and Theory 4 (2):47–56.
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  20. Brian V. Hill (1966). Soren Kierkegaard and Educational Theory. Educational Theory 16 (4):344-353.
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