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Some concepts and Lupascu’s logic

September 19, 2017

In order for the notion of cooperation between two systems to be defined in accordance with Lupascu’s logic, the dualism of the respective sides must be in a contradictory relationship. That is, the principle of contradictory complementarity must replace the principle of non-contradiction. For example, in combined transport, the co-operation of two modes (long-haul and short-haul transport) exist through their contradiction, forming together a kind of dynamic entity. While part of the entity is in actualization, the other is potentiating. While long-haul transport (rail, inland waterway, maritime) is in actualization by bringing freight to the terminal, short-haul transport (road transport) is potentiating by picking up and distributing goods arriving at the terminal. The two states can overlap partially over certain time intervals, but it is impossible both to be actual or potential simultaneously. Lupascu introduced the notion of the T-state, the included third party concept, which is defined as “the actual or potential state, T ≡ ~ A ~ P, of a term to the antithetic term (or still semi-actual and semi-potential): passing from the state A to the state P or from the state P to the state A, e or ē is necessarily in a state in which there is neither actual nor potential to ē or e, at half-way, so to speak, between A and P”. Identifying dialectics with the dynamic logic of contradictory, Lupascu uses the included third party concept. He says that “dialectics does not seem to be anything but logic itself; its third term, the third party included, cannot be the Hegelian synthesis, the third term of Hegel’s logic, for it is, on the contrary, the logical state, the dialectic aspect of the most powerful contradiction (eT ⊃ ēT) ⊃ CA ⋅ ​​~ CP)” (Ştefan Lupaşcu, Le principe d’antagonisme et la logique de l’énergie, Hermann et Cie, Paris, 1951). Logical values ​​from the perspective of dynamic logic whose binary character is given by the actualization and potentiation properties of contradictory dynamisms, called e and non-e. They can be in the state of actualization or potentiation, but also in a third state, the T-state, of antagonistic equilibrium, which is not a synthesis of the two dynamisms. It is the third value of dynamic logic. We could say that two systems interact, resulting in a third, superior aggregation level. For example, two systems (road and rail) can interact, resulting in combined transport. Although Basarab Nicolescu says that the laws of the lower and upper levels are different, we can say that those from the lower one result from the ones from the higher, by the particularization, ie the lower one is a particular case of the higher one, resulting from it by projection or deleting a dimension (for example, if inf = n dim space, and sup = (n + 1) dim space). Hence, there is interaction on this path, that is, there is not necessarily a rupture, a discontinuity between them. There are other dynamic entities that can be defined as the result of the contradictory complementarity between the actualization part and another potential. Such examples include delivery / collection transport, competition, vehicle loading / unloading, etc.

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