David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Philosophica Estonica 1 (1):104-117 (2008)
Two types of logical consequence are compared: one, with respect to matrix and designated elements and the other with respect to ordering in a suitable algebraic structure. Particular emphasis is laid on algebraic structures in which there is no top-element relative to the ordering. The significance of this special condition is discussed. Sequent calculi for a number of such structures are developed. As a consequence it is re-established that the notion of truth as such, not to speak of tautologies, is inessential in order to define validity of an argument.
|Keywords||logical consequence lattice logical truth|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Piotr Wilczek, Model-Theoretic Investigations Into Consequence Operation (Cn) in Quantum Logics: An Algebraic Approach.
Philip Kremer (2008). Supervaluation Fixed-Point Logics of Truth. Journal of Philosophical Logic 37 (5):407 - 440.
Yaroslav Shramko & Heinrich Wansing (2006). Hyper-Contradictions, Generalized Truth Values and Logics of Truth and Falsehood. Journal of Logic, Language and Information 15 (4):403-424.
A. Avron (1998). Multiplicative Conjunction and an Algebraic Meaning of Contraction and Weakening. Journal of Symbolic Logic 63 (3):831-859.
Dmitry Zaitsev (2009). A Few More Useful 8-Valued Logics for Reasoning with Tetralattice Eight. Studia Logica 92 (2):265 - 280.
João Marcos (2009). What is a Non-Truth-Functional Logic? Studia Logica 92 (2):215 - 240.
Ming Xu (1998). Axioms for Deliberative Stit. Journal of Philosophical Logic 27 (5):505-552.
Fred Seymour Michael (2002). Entailment and Bivalence. Journal of Philosophical Logic 31 (4):289-300.
Josep Maria Font (2009). Taking Degrees of Truth Seriously. Studia Logica 91 (3):383 - 406.
Yaroslav Shramko & Heinrich Wansing (2005). Some Useful 16-Valued Logics: How a Computer Network Should Think. [REVIEW] Journal of Philosophical Logic 34 (2):121 - 153.
Sorry, there are not enough data points to plot this chart.
Added to index2009-11-23
Total downloads1 ( #507,709 of 1,679,308 )
Recent downloads (6 months)0
How can I increase my downloads?