Three dogmas of 'if'
In A. Leirfall & T. Sandmel (eds.), Enhet i Mangfold. Unipub (2008)
| Abstract | In this paper I argue that a truth functional account of conditional statements ‘if A then B’ not only is inadequate, but that it eliminates the very conditionality expressed by ‘if’. Focusing only on the truth-values of the statements ‘A’ and ‘B’ and different combinations of these, one is bound to miss out on the conditional relation expressed between them. But this is not a flaw only of truth functionality and the material conditional. All approaches that try to treat conditionals as mere functions of their antecedents and consequents will end up in some sort of logical atomism where causal matters simply are reduced to the joint occurrence of A and B. What we need is a non-extensional approach to conditionals that can account for hypotheticality, potentiality, and dependency, none of which can be understood by looking to the antecedent or consequent per se. | |||||||||
| Keywords | Conditionals Truth Functionality Compositionality Counterfactuals | |||||||||
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Ivar Hannikainen (2011). Might-Counterfactuals and the Principle of Conditional Excluded Middle. Disputatio (30):127-149.
Sarah-Jane Leslie (2008). 'If', 'Unless', and Quantification. In R. Stainton & C. Viger (eds.), Compositionality, Context, and Semantic Values.
Frank Döring (1997). The Ramsey Test and Conditional Semantics. Journal of Philosophical Logic 26 (4):359-376.
Jonathan St B. T. Evans (2005). The Social and Communicative Function of Conditional Statements. Mind and Society 4 (1):97-113.
Igor Douven (2007). On Bradley's Preservation Condition for Conditionals. Erkenntnis 67 (1):111 - 118.
Eyvind Ohm & Valerie A. Thompson (2006). Conditional Probability and Pragmatic Conditionals: Dissociating Truth and Effectiveness. Thinking and Reasoning 12 (3):257 – 280.
Michael J. White (1986). The Fourth Account of Conditionals in Sextus Empiricus. History and Philosophy of Logic 7 (1):1-14.
David Barnett (2006). Zif is If. Mind 115 (459):519-566.
Rani Lill Anjum (2007). The Logic of `If' — or How to Philosophically Eliminate Conditional Relations. Sorites - A Digital Journal of Analytic Philosophy 19:51-57.
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