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(2005) Philosophia Scientiae 9 (2).
We give a procedure to obtain falsity conditions for IF-sentences, using Skolemization. The expressive power of an IF-sentence can then be strongly captured by a pair of Σ11-sentences1. A result from [Burgess 2003] shows that, conversely, any pair of incompatible Σ11-sentences corresponds with an IF-sentence.In the second part, we reflect on the influence of the order of the steps (inside-out versus outside-in) in the Skolemization procedures for IF-logic. We also reflect on the nature of game theoretical negation.
Publication details
DOI: 10.4000/philosophiascientiae.549
Full citation:
Dechesne, F. (2005). Falsity conditions for if-sentences. Philosophia Scientiae 9 (2), pp. 305-322.
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