Moisil logic, having as algebraic counterpart Lukasiewicz-Moisil algebras, provides an alternative way to reason about vague information based on the following principle: a many-valued event is characterized by a family of Boolean events. However, using the original definition of Lukasiewicz-Moisil algebra, the principle does not apply for subalgebras. In this paper we identify an alternative a...

the theory of dualism, i.e. duality of mind and body is, from most of the religious scholars and theologian's point of view, a theoretical basis for believes to hereafter. today the doctrine of physicalism is the most important challenge against dualism and whereby, mind and its moods, either are unrealistic and illusion (eliminative physicalism), or reductive physicalism; i.e. reduce them...

A general principle of 'causal duality' for physical systems, lying at the base of representation theorems for both compound and evolving systems , is proved; formally it is encoded in a quantaloidal setting. Other particular examples of quantaloids and quantaloidal morphisms appear naturally within this setting; as in the case of causal duality, they originate from primitive physical reasoning...

A generalized-statistics variational principle for source separation is formulated by recourse to Tsallis’ entropy subjected to the additive duality and employing constraints described by normal averages. The variational principle is amalgamated with Hopfield-like learning rules resulting in an unsupervised learning model. The update rules are formulated with the aid of q-deformed calculus. Num...

Uncertainty theory is a branch of axiomatic mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. In uncertainty theory this paper proposes a definition of quadratic cross entropy and the principle of minimum quadratic cross entropy. Based on the principle, an application in statistics and a numerical algorithm to estimate uncertain dis...

We argue that the temperature inversion symmetry present in the original Casimir setup and also in other Casimir systems for which symmetrical boundary conditions are imposed is not related to the duality transformations that in the context defined in [1] are transformations relating spatial extension and temperature, and pressure and energy density. We provide an example of a Casimir system fo...

Reachability and observability criteria are obtained for 2D continuous-discrete time-variable Attasi type systems by using suitable 2D reachability and observability Gramians. Necessary and sufficient conditions of reachability and observability are derived for time-invariant systems. The duality between the two concepts is emphasized as well as their connection with the minimality of these sys...