Affiliation:
1. Department of Philosophy, University of Bergen, Bergen 5020, Norway
Abstract
Abstract
Many relevant logics are conservatively extended by Boolean negation. Not all, however. This paper shows an acute form of non-conservativeness, namely that the Boolean-free fragment of the Boolean extension of a relevant logic need not always satisfy the variable-sharing property. In fact, it is shown that such an extension can in fact yield classical logic. For a vast range of relevant logic, however, it is shown that the variable-sharing property, restricted to the Boolean-free fragment, still holds for the Boolean extended logic.
Publisher
Oxford University Press (OUP)
Cited by
2 articles.
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