- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
A calculus for the common rules of ∧ and ∨
Studia Logica 48 (4):531-537 (1989)
Abstract
We provide a finite axiomatization of the consequence , i.e. of the set of common sequential rules for and . Moreover, we show that has no proper non-trivial strengthenings other than and . A similar result is true for , but not, e.g., for +.My notes
Similar books and articles
Distributive-lattice semantics of sequent calculi with structural rules.Alexej P. Pynko - 2009 - Logica Universalis 3 (1):59-94.
A Calculus for the Common Rules of $\wedge $ and $\vee $.Wolfgang Rautenberg - 1989 - Studia Logica 48 (4):531 - 537.
Finite structural axiomatization of every finite-valued propositional calculus.Zdzis?aw Dywan - 1980 - Studia Logica 39 (1):1 - 4.
Axiomatization of the de Morgan type rules.B. Herrmann & W. Rautenberg - 1990 - Studia Logica 49 (3):333 - 343.
Lambek calculus with restricted contraction and expansion.Andreja Prijatelj - 1992 - Studia Logica 51 (1):125 - 143.
Investigations into a left-structural right-substructural sequent calculus.Lloyd Humberstone - 2007 - Journal of Logic, Language and Information 16 (2):141-171.
Hegel and Deleuze on the metaphysical interpretation of the calculus.Henry Somers-Hall - 2009 - Continental Philosophy Review 42 (4):555-572.
Analytics
Added to PP
2009-01-28
Downloads
24 (#617,476)
6 months
3 (#880,460)
2009-01-28
Downloads
24 (#617,476)
6 months
3 (#880,460)
Historical graph of downloads
Citations of this work
Sentence connectives in formal logic.Lloyd Humberstone - forthcoming - Stanford Encyclopedia of Philosophy.
Investigations into a left-structural right-substructural sequent calculus.Lloyd Humberstone - 2007 - Journal of Logic, Language and Information 16 (2):141-171.
References found in this work
O pewnym fragmencie implikacyjnego rachunku zdań.Helena Rasiowa - 1955 - Studia Logica 3 (1):208 - 226.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-6d9b7f7c4c-9lpj8 uwo