Logic Journal of the IGPL 29 (3):370-384 (2021)

Tore Fjetland Øgaard
University of Bergen
It is known that many relevant logics can be conservatively extended by the truth constant known as the Ackermann constant. It is also known that many relevant logics can be conservatively extended by Boolean negation. This essay, however, shows that a range of relevant logics with the Ackermann constant cannot be conservatively extended by a Boolean negation.
Keywords Ackermann constant  Boolean negation  non-conservative extension  relevant logics
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DOI 10.1093/jigpal/jzaa021
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Begrundung Einer Strengen Implik.Wilhelm Ackermann - 1956 - Journal of Symbolic Logic 21:113.

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