Dialectic, the Dictum de Omni and Ecthesis

@article{Crubellier2019DialecticTD,
  title={Dialectic, the Dictum de Omni and Ecthesis},
  author={Michel Crubellier and Mathieu Marion and Zo{\'e} McConaughey and Shahid Rahman},
  journal={History and Philosophy of Logic},
  year={2019},
  volume={40},
  pages={207 - 233}
}
In this paper, we provide a detailed critical review of current approaches to ecthesis in Aristotle’s Prior Analytics, with a view to motivate a new approach, which builds upon previous work by Marion & Rückert (2016) on the dictum de omni. This approach sets Aristotle’s work within the context of dialectic and uses Lorenzen’s dialogical logic, hereby reframed with use of Martin-Löf's constructive type theory as ‘immanent reasoning’. We then provide rules of syllogistic for the latter, and… 
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