Abstract
This talk summarizes some of the things that contemporary logic and, in particular, proof theory stemming from Gentzen have to say about the notion of consequence. It starts from very elementary facts, the understanding of which doesn’t require any technical knowledge, to reach the more specialized areas of substructural logics and categorial proof theory. There, one may turn to a style of proof-theoretical investigation whose goal is not just the elimination of cut. Some tentative philosophical suggestions are drawn from this summary.
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Došen, K. (1997). Logical Consequence: A Turn in Style. In: Dalla Chiara, M.L., Doets, K., Mundici, D., van Benthem, J. (eds) Logic and Scientific Methods. Synthese Library, vol 259. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0487-8_15
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