Ethnic Notions

Kant's Four Notions of Freedom

Basic notions and properties of ordered semihyperrings

In this paper, we introduce the concept of semihyperring $(R,+,cdot)$ together with a suitable partial order $le$. Moreover, we introduce and study hyperideals in ordered semihyperrings. Simple ordered semihyperrings are defined and its characterizations are obtained. Finally, we study some properties of quasi-simple and $B$-simple ordered semihyperrings.

Notions of Lattice Trigonometry

In this paper we study properties of lattice trigonometric functions of lattice angles in lattice geometry. We introduce the definition of sums of lattice angles and establish a necessary and sufficient condition for three angles to be the angles of some lattice triangle in terms of lattice tangents. This condition is a version of the Euclidean condition: three angles are the angles of some tri...

Two Notions of Naturalism∗

What is philosophical naturalism? Most fundamentally, presumably, it is the view that natural science constrains philosophy, in the following sense. The concerns of the two disciplines are not simply disjoint, and science takes the lead where the two overlap. At the very least, then, to be a philosophical naturalist is to believe that philosophy is not simply a different enterprise from science...

Parameterised Notions of Computation

Moggi’s Computational Monads and Power et al ’s equivalent notion of Freyd category have captured a large range of computational effects present in programming languages. Examples include non-termination, non-determinism, exceptions, continuations, side-effects and input/output. We present generalisations of both computational monads and Freyd categories, which we call parameterised monads and ...