Change search
ReferencesLink to record
Permanent link

Direct link
Consequence Mining: Constants Versus Consequence Relations
Stockholm University, Faculty of Humanities, Department of Philosophy. University of Gothenburg, Sweden.
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 outsideX, yields a function mapping X to a consequence relation ⇒X" style="position: relative;" tabindex="0" id="MathJax-Element-1-Frame" class="MathJax">⇒X. 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.
Keyword [en]
Consequence relation, Constant, Logical constant, Bolzano, Tarski, Galois connection, Replacement, Substitution
National Category
Philosophy Algebra and Logic
Research subject
Theoretical Philosophy
URN: urn:nbn:se:su:diva-86059DOI: 10.1007/S10992-012-9234-6OAI: diva2:586024
2nd Workshop on Logic, Rationality and Interaction (LORI-II), August 2012
Swedish Research Council
Available from: 2013-01-10 Created: 2013-01-10 Last updated: 2016-09-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Westerståhl, Dag
By organisation
Department of Philosophy
In the same journal
Journal of Philosophical Logic
PhilosophyAlgebra and Logic

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 62 hits
ReferencesLink to record
Permanent link

Direct link