Explosion and the normativity of logic

@inproceedings{Steinberger2014ExplosionAT,
  title={Explosion and the normativity of logic},
  author={Florian Steinberger},
  year={2014}
}
Logic has traditionally been construed as a normative discipline; it sets forth standards of correct reasoning. Explosion is a valid principle of classical logic. It states that an inconsistent set of propositions entails any proposition whatsoever. However, ordinary agents presumably do—occasionally, at least—have inconsistent belief sets. Yet it is false that such agents may, let alone ought, to believe any proposition they please. Therefore, our logic should not recognize explosion as a… CONTINUE READING

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