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Genuinely Non-traditional Logics

Sandra D. Cuenca, Luis Estrada-Gonzalez

Logica Universalis | Sep 17, 2026

Abstract

Abstract

In this paper, we define the notion of genuinely non-traditional logics , and show that FDE is an easy example of such logics. Since some might find the (definable) arrow in FDE unsuitable to play the role of an implication, even for a non-reflexive logic, we consider some expansions of FDE with connectives satisfying more properties usually expected from implications.

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Sandra D. Cuenca

first

Luis Estrada-Gonzalez

last | Instituto de FilosofĂ­a

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@article{Cuenca2026Genuinely,
  title = {Genuinely Non-traditional Logics},
  author = {Sandra D. Cuenca and Luis Estrada-Gonzalez},
  journal = {Logica Universalis},
  year = {2026},
  doi = {10.1007/s11787-026-00426-5},
  url = {https://doi.org/10.1007/s11787-026-00426-5}
}

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