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Indicative conditionals and logical consequence

Held, Carsten (2016) Indicative conditionals and logical consequence. [Preprint]

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For an indicative conditional to be true it is not generally sufficient that its antecedent be false or its consequent true. I propose to analyse such a conditional as strong, i.e. as containing a tacit quantification over a domain of possible situations, with the if-clause specifying that domain such that the conditional gets assigned the appropriate truth conditions. Now, one definition of logical consequence proceeds in terms of a natural-language conditional. Interpreting it as strong leads to a paraconsistent consequence relation, though the motivation behind it is not to reason coherently about contradictions but to reason entirely without them.

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Item Type: Preprint
Keywords: Indicative conditionals; logical consequence
Subjects: General Issues > Causation
General Issues > Explanation
Depositing User: Carsten Held
Date Deposited: 12 Jun 2016 17:58
Last Modified: 12 Jun 2016 17:58
Item ID: 12165
Subjects: General Issues > Causation
General Issues > Explanation
Date: 7 June 2016

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