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Consequence Mining Constants Versus Consequence Relations
Stockholm University, Faculty of Humanities, Department of Philosophy.
2012 (English)In: Journal of Philosophical Logic, ISSN 0022-3611, E-ISSN 1573-0433, Vol. 41, no 4, 671-709 p.Article in journal (Refereed) Published
Abstract [en]

The standard semantic definition of consequence with respect to a selected set X of symbols, in terms of truth preservation under replacement (Bolzano) or reinterpretation (Tarski) of symbols outside X, yields a function mapping X to a consequence relation . We investigate a function going in the other direction, thus extracting the constants of a given consequence relation, and we show that this function (a) retrieves the usual logical constants from the usual logical consequence relations, and (b) is an inverse to-more precisely, forms a Galois connection with-the Bolzano-Tarski function.

Place, publisher, year, edition, pages
2012. Vol. 41, no 4, 671-709 p.
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URN: urn:nbn:se:su:diva-80613DOI: 10.1007/s10992-012-9234-6ISI: 000306288100003OAI: diva2:556514


Available from: 2012-09-25 Created: 2012-09-25 Last updated: 2012-09-25Bibliographically approved

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Westerståhl, Dag
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