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LOGIC FOR EXACT ENTAILMENT

Published online by Cambridge University Press:  01 February 2019

KIT FINE  and
MARK JAGO
KIT FINE*
Affiliation:
Department of Philosophy, New York University
MARK JAGO*
Affiliation:
Department of Philosophy, University of Nottingham
*
*DEPARTMENT OF PHILOSOPHY NEW YORK UNIVERSITY 5 WASHINGTON PLACE NEW YORK, NY 10003, USA E-mail: [email protected]
†DEPARTMENT OF PHILOSOPHY UNIVERSITY OF NOTTINGHAM UNIVERSITY PARK, NOTTINGHAM NG7 2RD, UK E-mail: [email protected]
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Abstract

An exact truthmaker for A is a state which, as well as guaranteeing A’s truth, is wholly relevant to it. States with parts irrelevant to whether A is true do not count as exact truthmakers for A. Giving semantics in this way produces a very unusual consequence relation, on which conjunctions do not entail their conjuncts. This feature makes the resulting logic highly unusual. In this paper, we set out formal semantics for exact truthmaking and characterise the resulting notion of entailment, showing that it is compact and decidable. We then investigate the effect of various restrictions on the semantics. We also formulate a sequent-style proof system for exact entailment and give soundness and completeness results.

Keywords

03B4703B60truthmakingexact entailmentnon-classical logicsemanticsmereologysequent calculus
Type
Research Article
Information
The Review of Symbolic Logic , Volume 12 , Issue 3 , September 2019 , pp. 536 - 556
Copyright
Copyright © Association for Symbolic Logic 2019 

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References

BIBLIOGRAPHY

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