[ p^q-semantics | p^q-lattices | n*p^q-parallelepiped | p^2-structures | p^3-structures | p^4-structures | p^5-structures | … | p^q-structures ] – back to structures

The Aristotelian *pQ*-semantics are a game-theoretical ask-answer device necessary and sufficient to generate the oppositional complexity of OG. They are a generalisation, by Moretti, of Aristotle‘s combinatorial definitions of “contradiction” and “contrariety” (which Moretti reduced, by a suited mathematical forcing, to the new structure of “Aristotelian (2 power 2)-semantics”). These semantics allow having Aristotelian *pQ*-lattices, from which all “oppositional kinds” can be retrieved. It is these semantics and lattices which, among others, allow stepping from the “logical bi-simplexes of dimension *m*” (to which belong the logical square, hexagon and cube) to the general “logical *p*-simplexes of dimension *m*“.

2^2-semantics | 2^3-semantics | 2^4-semantics | 2^5-semantics | … | 2^*q*-semantics

3^2-semantics | 3^3-semantics | 3^4-semantics | 3^5-semantics | … | 3^*q*-semantics

4^2-semantics | 4^3-semantics | 4^4-semantics | 4^5-semantics | … | 4^*q*-semantics

5^2-semantics | 5^3-semantics | 5^4-semantics | 5^5-semantics | … | 5^*q*-semantics

…………………. | …………………. | ………………… | ………………… | … | ………………….

*p*^2-semantics | *p*^3-semantics | *p*^4-semantics | *p*^5-semantics | … | *p*^*q*-semantics

- Angot-Pellissier, R., , (forthcoming)
- Moretti, A.,
*The Geometry of Logical Opposition*, PhD Thesis, Université de Neuchâtel, Switzerland, 2009 - Moretti, A., « The Critics of Paraconsistency and of Many-Valuedness and the Geometry of Opposition »,
*Logic and Logical Philosophy*, 19, 1-2, 2010