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Subset Spaces for Conditional Norms

  • Huimin Dong
  • R. Ramanujam
  • Yì N. WángEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11873)

Abstract

We introduce two notions of conditionals, forward conditional for deductive implication and backward conditional for abductive implication. The former is in regard to Lewis [16]’s conditional, while the latter is treated as a binary window modality. We introduce logics of forward and backward conditionals, interpreted over a point-set semantics (with explicit likelihood) from the logic of subset spaces. These conditionals and their logics have applications in the studies of conditional norms.

Keywords

Forward conditional Backward conditional Modal logic Subset space Logic of norms 

Notes

Acknowledgement

Huimin Dong is supported by the China Postdoctoral Science Foundation (Grant No. 2018M632494), the National Social Science Fund of China (Grant No. 18ZDA290), the National Science Centre of Poland (Grant No. UMO-2017/26/M/HS1/01092), and the Fundamental Research Funds for the Central Universities of China. Yì N. Wáng acknowledges funding support by the National Social Science Foundation of China (Grant No. 16CZX048, 18ZDA290).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of PhilosophyZhejiang UniversityHangzhouChina
  2. 2.Institute of Mathematical SciencesChennaiIndia

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