Switch to: References

Citations of:

Correspondence Between Kripke Frames and Projective Geometries

Shengyang Zhong

Studia Logica 106 (1):167-189 (2018)

Add citations

You must login to add citations.

Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.details Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related (...) Download Export citation Bookmark 7 citations
Quantum Entanglement: An Analysis via the Orthogonality Relation.Shengyang Zhong - 2023 - Foundations of Physics 53 (4):1-49.details In the literature there has been evidence that a kind of relational structure called a quantum Kripke frame captures the essential characteristics of the orthogonality relation between pure states of quantum systems, and thus is a good qualitative mathematical model of quantum systems. This paper adds another piece of evidence by providing a tensor-product construction of two finite-dimensional quantum Kripke frames. We prove that this construction is exactly the qualitative counterpart of the tensor-product construction of two finite-dimensional Hilbert spaces over (...) Download Export citation Bookmark
Quantum states: an analysis via the orthogonality relation.Shengyang Zhong - 2021 - Synthese 199 (5-6):15015-15042.details From the Hilbert space formalism we note that five simple conditions are satisfied by the orthogonality relation between the (pure) states of a quantum system. We argue, by proving a mathematical theorem, that they capture the essentials of this relation. Based on this, we investigate the rationale behind these conditions in the form of six physical hypotheses. Along the way, we reveal an implicit theoretical assumption in theories of physics and prove a theorem which formalizes the idea that the Superposition (...) Download Export citation Bookmark 1 citation
On the Modal Logic of the Non-orthogonality Relation Between Quantum States.Shengyang Zhong - 2018 - Journal of Logic, Language and Information 27 (2):157-173.details It is well known that the non-orthogonality relation between the states of a quantum system is reflexive and symmetric, and the modal logic \ is sound and complete with respect to the class of sets each equipped with a reflexive and symmetric binary relation. In this paper, we consider two properties of the non-orthogonality relation: Separation and Superposition. We find sound and complete modal axiomatizations for the classes of sets each equipped with a reflexive and symmetric relation that satisfies each (...) Download Export citation Bookmark

1