in this article, after reviewing the difference between fundamentalist and anti-fundamentalist philosophy, the features of the rationality will be explained from the perspective of five anti-fundamentalist philosophers (habermas, richard rorty, macintyre, michel foucault and hayek). the common point stated by all these philosophers is that they all criticize metaphysics and doubt about the basi...

Mathematicians often speak of conjectures as being confirmed by evidence that falls short of proof. For their own conjectures, evidence justifies further work in looking for a proof. Those conjectures of mathematics that have long resisted proof, as Fermat’s Last Theorem did and the Riemann Hypothesis still does, have had to be considered in terms of the evidence for and against them. It is not...

We survey blood glucose control schemes for insulin-dependent diabetes therapies and systems. These schemes largely rely on mathematical models of the insulin-glucose relations, and these models are typically derived in an empirical or fundamental way. In an empirical way, the experimental insulin inputs and resulting blood-glucose outputs are used to generate a mathematical model, which includ...

In this article, after reviewing the difference between fundamentalist and anti-fundamentalist philosophy, the features of the rationality will be explained from the perspective of five anti-fundamentalist philosophers (Habermas, Richard Rorty, MacIntyre, Michel Foucault and Hayek). The common point stated by all these philosophers is that they all criticize metaphysics and doubt about the basi...

This publication presents a relation computation or calculus for international relations using a mathematical modeling. It examined trust for international relations and its calculus, which related to Bayesian inference, Dempster-Shafer theory and subjective logic. Based on an observation in the literature, we found no literature discussing the calculus method for the international relations. T...

VRCC-3D+ is an implementation of a region connection calculus that qualitatively determines the spatial relation between two 3D objects in terms of connectivity and obscuration. The eight connectivity relations are conceptually the same as RCC8, but calculated in 3D rather than 2D. The fifteen obscuration relations are calculated using the projection of the 3D objects on a particular 2D plane a...

The soft set theory is a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. Babitha and Sunil [Soft set relations and function, Computers and Mathematics with Applications 60 (2010) 1840–1849] introduced the notion of soft set relations as a soft subset of the Cartesian product of soft sets and discussed m...

Given k sets of objects X1, . . . , Xk, a k-ary relation R on D(R) = (X1, . . . , Xk) is a subset G(R) of the Cartesian product X1 × · · · ×Xk. I.e., D(R) is a k-tuple of sets and G(R) is a set of k-tuples. We refer to D(R) and G(R) as the domain and the graph of the relation R, respectively (alternative notions are that of ground and figure, respectively). Relations are a very fundamental math...

We deene conndence relations on Boolean lattices, which can be interpreted as ordinal representations of uncertainty or information. The set of the conndence relations on a given Boolean lattice can be ordered by set inclusion and thus is shown to form a complete meet-semilattice. We investigate and identify the maximal elements of this structure. Moreover, we prove that it is in particular an ...

We define confidence relations on Boolean lattices, which can be interpreted as ordinal representations of uncertainty or information. The set of the confidence relations on a given Boolean lattice can be ordered by set inclusion and thus is shown to form a complete meet-semilattice. We investigate and identify the maximal elements of this structure. Moreover, we prove that it is in particular ...