A two-distance set in E is a point set X in the d-dimensional Euclidean space such that the distances between distinct points in X assume only two different nonzero values. Based on results from classical distance geometry, we develop an algorithm to classify, for a given d, all maximal (largest possible) two-distance sets in E. Using this algorithm we have completed the full classification for...

This schema, restricted in some way in order to avoid the paradoxes, is said to capture the whole content of our intuitive notion of truth. In effect truth is called sometimes a “purely logical” device a predicate devoid of content, which doesn’t express any substantial relation between our language and the world. According to one proposal, conservativeness is a good explication of this “conten...

The theory of non-equilibrium thermodynamics in the optimal control processes is established by using the Pontryagin’s theory of optimal control and the physical meaning of the the Pontryagin’s maximum principle is revealed. For this purpose, we strat with the system of nonlinear differential equations ̇⃗ x = f⃗ (x⃗, u⃗, t) where x⃗ is an n-dimensional vector of state variables and u⃗ an r-dimensional...

Many parameterized problems (as the clique problem or the dominating set problem) ask, given an instance and a natural number k as parameter, whether there is a solution of size k. We analyze the relationship between the complexity of such a problem and the corresponding maximality (minimality) problem asking for a solution of size k maximal (minimal) with respect to set inclusion. As our resul...

the Suppes-Sen dominance relation is a weak and widely accepted criterion of distributive justice. We propose its application to Nash bargaining theory. The Nash Bargaining Solution (NBS) is characterised by replacing the controversial Independence of Irrelevant Alternatives axiom with an axiom embodying the SuppesSen principle. More precisely, maximality in the Suppes-Sen relation is shown to ...

Von Fintel, Fox and Iatridou 2005/2012 argue that 'the NP' should not be taken to refer to the largest NP-object, as is commonly thought, but rather to the object x such that the proposition 'x satisfies NP' is maximally informative. In particular, they show that in some cases an informativity-based treatment correctly predicts that 'the NP' should refer to the smallest rather than to the large...