@article{Sen_Chakraborty_2008, title={Logic and Truth: Some Logics without Theorems}, url={https://ojs.utlib.ee/index.php/spe/article/view/spe.2008.1.1.06}, DOI={10.12697/spe.2008.1.1.06}, abstractNote={<p>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.</p>}, journal={Studia Philosophica Estonica}, author={Sen, Jayanta and Chakraborty, Mihir Kumar}, year={2008}, month={Sep.}, pages={104-117} }