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  1. Complementarity Revisited.Towfic Shomar - 2020 - Foundations of Science 25 (2):401-424.
    Complementarity can be considered as the weirdest idea associated with quantum mechanics. For Bohr, Complementarity is important in order to be able to convey successfully the non-classical features of quantum mechanics. This paper discusses the epistemic and ontological implications of different new experiments that attempt to detect complementarity. Complementarity has surely survived the attempts to overcome it, yet some of these experiments have led to a more general form of complementarity. Others claim to be able to differentiate among the different (...)
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  • Quantum MV algebras.Roberto Giuntini - 1996 - Studia Logica 56 (3):393 - 417.
    We introduce the notion of quantum MV algebra (QMV algebra) as a generalization of MV algebras and we show that the class of all effects of any Hilbert space gives rise to an example of such a structure. We investigate some properties of QMV algebras and we prove that QMV algebras represent non-idempotent extensions of orthomodular lattices.
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  • The logics of orthoalgebras.Maria Luisa Dalla Chiara & Roberto Giuntini - 1995 - Studia Logica 55 (1):3-22.
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  • Partial and unsharp quantum logics.Maria Luisa Dalla Chiara & Roberto Giuntini - 1994 - Foundations of Physics 24 (8):1161-1177.
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  • Partial and unsharp quantum logics.M. L. Dalla Chiara & R. Giuntini - 1994 - Foundations of Physics 24 (8):1161-1177.
    The total and the sharp character of orthodox quantum logic has been put in question in different contexts. This paper presents the basic ideas for a unified approach to partial and unsharp forms of quantum logic. We prove a completeness theorem for some partial logics based on orthoalgebras and orthomodular posets. We introduce the notion of unsharp orthoalgebra and of generalized MV algebra. The class of all effects of any Hilbert space gives rise to particular examples of these structures. Finally, (...)
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  • Some results on BZ structures from Hilbertian unsharp quantum physics.Gianpiero Cattaneo & Roberto Giuntini - 1995 - Foundations of Physics 25 (8):1147-1183.
    Some algebraic structures determined by the class σ(þ) of all effects of a Hilbert space þ and by some subclasses of σ(þ) are investigated, in particular de Morgan-Brouwer-Zadeh posets [it is proved that σ(þ n )(n<∞) has such a structure], Brouwer-Zadeh * posets (a quite trivial example consisting of suitable effects is given), and Brouwer-Zadeh 3 posets which are both de Morgan and *.It is shown that a nontrivial class of effects of a Hilbert space exists which is a BZ (...)
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  • Fuzziness in Italy – Traces of a scattered history.Gianpiero Cattaneo, Giulianella Coletti, Antonio Di Nola, Mario Fedrizzi, Giangiacomo Gerla, Gabriella Pasi, Marco Elio Tabacchi, Settimo Termini & Aldo Ventre - 2017 - Archives for the Philosophy and History of Soft Computing 2017 (1).
    The history of Fuzziness in Italy is varied and scattered among a num- ber of research groups. As a matter of fact, “fuzziness” spread in Italy through a sort of spontaneous diffusion, and, also subsequently, no one felt the need to cre- ate some “national” common structure like an Association or similar things. Since a cohesive retelling would be next to impossible, a few members of the Italian fuzzy community have been asked to recount their experience and express their hopes (...)
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