engleski

Logical oppositions and collective decisions

The so-called ``discursive dilemma" results from the simultaneous presence of many squares of opposition each belonging to a possible majority of individual agents and making together a distributive lattice. We formalize different ways of the majority decision making by means of several three-valued logics and using a generalized definition of the consequence relation. The proposed three-valued logic for simultaneous majority decision making (e.g., referendum) is a proper sublogic of Kleene's three valued logic, which adequatly formalizes a sequential majority decisions making.

consensus; collective decision; discursive dilemma; lattice; majority; many-valued logic; sequential voting; simultaneous voting; square of oppositions

Dorađen, cjelovit rad objavljen je u knjizi "Around and Beyond the Square of Opposition", J.-Y. Béziau, D. Jacquette (ur.), Springer, 2012.