Traditional Logic, Modern Logic and Natural Language

@article{Hodges2009TraditionalLM,
  title={Traditional Logic, Modern Logic and Natural Language},
  author={Wilfrid Hodges},
  journal={Journal of Philosophical Logic},
  year={2009},
  volume={38},
  pages={589-606}
}
  • W. Hodges
  • Published 14 October 2009
  • Philosophy
  • Journal of Philosophical Logic
In a recent paper Johan van Benthem reviews earlier work done by himself and colleagues on ‘natural logic’. His paper makes a number of challenging comments on the relationships between traditional logic, modern logic and natural logic. I respond to his challenge, by drawing what I think are the most significant lines dividing traditional logic from modern. The leading difference is in the way logic is expected to be used for checking arguments. For traditionals the checking is local, i.e… 
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