Theory of Paradox Resolution
Theory of Paradox Resolution Framework Overview This theory aims to explore how paradoxes arise between systems and within systems, emphasizing the role of contextual bases and the relationships between units. We define two systems, S 1 S_1 and S 2 S_2 , characterized by their units and contextual bases. System S 1 S_1 : Defined by a set of units U 1 U_1 and a contextual base B 1 B_1 . System S 2 S_2 : Defined by a set of units U 2 U_2 and a contextual base B 2 B_2 . Mathematical Formalization To assess paradoxes, we propose two functions, f f and g g : Function f f : Measures the degree of equivalence or comparability of the units in U 1 U_1 and U 2 U_2 . This function could operate as follows: f ( U 1 , U 2 ) = ∑ i = 1 n d ( u 1 i , u 2 j ) f(U_1, U_2) = \sum_{i=1}^{n} d(u_{1i}, u_{2j}) where d ( u 1 i , u 2 j ) d(u_{1i}, u_{2j}) is a distance metric between units from different systems, and n n is the number of units being compared. Functi...