Neither the Ash‘arites nor Kierkegaard’s systems of theology are anti-rational, for Kierkegaard regards the contradiction present in the object of faith as absolute rather than logical, suggesting thereby the existential dialectics for understanding this contradiction instead of resolving it. The Ash‘arites also hold that one can understand the existence of God through absolute reason, or reaso...

This work, using a game-theoretic approach, considers Internetbased computations, where a master processor assigns, over the Internet, a computational task to a set of untrusted worker processors, and collects their responses. In particular, we consider a framework where altruistic, malicious, and rational workers co-exist, the communication between the master and the workers is not reliable, a...

Let A be a finite matrix with rational entries. We say that A is doubly image partition regular if whenever the set N of positive integers is finitely coloured, there exists ~x such that the entries of A~x are all the same colour (or monochromatic) and also, the entries of ~x are monochromatic. Which matrices are doubly image partition regular? More generally, we say that a pair of matrices (A,...

This paper defines for the first time strong linearizations of arbitrary rational matrices, studies in depth properties and different characterizations of such linear matrix pencils, and develops infinitely many examples of strong linearizations that can be explicitly and easily constructed from a minimal state-space realization of the strictly proper part of the considered rational matrix and ...

The goal of the present paper is to provide a mathematically rigorous foundation to certain aspects of the theory of rational orbifold models in conformal field theory, in other words the theory of rational vertex operator algebras and their automorphisms. Under a certain finiteness condition on a rational vertex operator algebra V which holds in all known examples, we determine the precise num...

The Precautionary Principle is in sharp political focus today because: 1) the nature of scientific uncertainty is changing, and 2) there is increasing pressure to base governmental action on more "rational" schemes, such as cost-benefit analysis and quantitative risk assessment, the former being an embodiment of "rational choice theory" promoted by the Chicago School of Law and Economics. The P...

In this paper, a spectral collocation approach based on the rational Chebyshev functions for solving the axisymmetric stagnation point flow on an infinite stationary circular cylinder is suggested. The Navier-Stokes equations which govern the flow, are changed to a boundary value problem with a semi-infinite domain and a third-order nonlinear ordinary differential equation by applying proper si...

Dogs are exceptionally successful at interpreting human pointing gestures to locate food hidden in one of two containers. However, it has repeatedly been questioned whether dogs rely on the pointing gesture or their success is increased by subtle cues from their human handler. In two experiments we used a standard two-way object-choice task to focus on this potential Clever Hans effect. We inve...

We introduce the idea of implementation under ambiguity. In particular, we study maximin efficient notions for an ambiguous asymmetric information economy (i.e., economies where agents’ preferences are maximin a la Wald [34]). The interest on the maximin preferences lies in the fact that maximin efficient allocations are always incentive compatible (de CastroYannelis [11]), a result which is fa...

Zheng, J., G Wang and Y. Liang, Curvature continuity between adjacent rational B&ier patches, Computer Aided Geometric Design 9 (1992) 321-335. This paper discusses the cutvature continuity between two adjacent rational BCzier surfaces which may be rectangular or triangular patches. The necessary and sufficient conditions are derived, and further, a series of simple sufficient conditions are de...