The utilization of relating semantics offers a powerful and flexible approach in the domain of connexive logics. In this paper, we aim to highlight two potential applications of this framework. Firstly, we demonstrate how the most basic system of connexive logic can be formulated within this framework by imposing conditions that correspond to Aristotle’s and Boethius’ theses on the relating relation. By incorporating more intricate properties, we can derive a range of interesting systems. To illustrate this, we examine two examples: C.S Lewis’ Barbershop Paradox and Estrada–González and Ramírez–Cámara’s categorization of connexive logics. Through these examples,we showcase the versatility and utility of relating semantics.

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A Variety of Connexive Logics in the Light of Relating Semantics

  • Jacek Malinowski,
  • Aleksander Parol

摘要

The utilization of relating semantics offers a powerful and flexible approach in the domain of connexive logics. In this paper, we aim to highlight two potential applications of this framework. Firstly, we demonstrate how the most basic system of connexive logic can be formulated within this framework by imposing conditions that correspond to Aristotle’s and Boethius’ theses on the relating relation. By incorporating more intricate properties, we can derive a range of interesting systems. To illustrate this, we examine two examples: C.S Lewis’ Barbershop Paradox and Estrada–González and Ramírez–Cámara’s categorization of connexive logics. Through these examples,we showcase the versatility and utility of relating semantics.