Abstract:
In this paper, I argue that the probability model used to infer irrationality for the subjects in the famous Linda problem is not appropriate, and I suggest different approaches based on fuzzy reasoning models. My line of argument is two-fold: 1) If the term “probability” is understood properly (mathematically), then the experimenters used the wrong model. 2) If the term “probability” is understood casually (non- mathematically), then alternative models perhaps should be used to justify the subjects’ responses. The objective is to experiment with new ways of looking at irrationality and raise a discussion regarding the relation between irrationality, reasoning errors and logical models that are used as frameworks to study irrationality.

In this paper we
will analyze some decisions a player has to make as Shepard, the main character
from the popular video game Mass Effect.
We will view those decisions through the lenses of two philosophical positions,
utilitarianism and Nietzsche’s “will to power”, and connect those and other
dilemmas to our own world today. We will also discuss ways how Mass Effect could be integrated into
and be a useful aid for an introductory philosophy class.

Abstract:
The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.

Abstract:
Let $\Omega$ be a symmetric cone and $V$ the corresponding simple Euclidean Jordan algebra. In \cite{ado,do,do04,doz2} we considered the family of generalized Laguerre functions on $\Omega$ that generalize the classical Laguerre functions on $\mathbb{R}^+$. This family forms an orthogonal basis for the subspace of $L$-invariant functions in $L^2(\Omega,d\mu_\nu)$, where $d\mu_\nu$ is a certain measure on the cone and where $L$ is the group of linear transformations on $V$ that leave the cone $\Omega$ invariant and fix the identity in $\Omega$. The space $L^2(\Omega,d\mu_\nu)$ supports a highest weight representation of the group $G$ of holomorphic diffeomorphisms that act on the tube domain $T(\Omega)=\Omega + iV.$ In this article we give an explicit formula for the action of the Lie algebra of $G$ and via this action determine second order differential operators which give differential recursion relations for the generalized Laguerre functions generalizing the classical creation, preservation, and annihilation relations for the Laguerre functions on $\mathbb{R}^+$.

Abstract:
In this article we derive differential recursion relations for the Laguerre functions on the cone C of positive definite real matrices. The highest weight representations of the group Sp(n,R) play a fundamental role. Each such representation acts on a Hilbert space of holomorphic functions on the tube domain C+ i Sym(n,R). We then use the Laplace transform to carry the Lie algebra action over to L^2(C ,dm_t). The differential recursion relations result by restricting to a distinguished three dimensional subalgebra, which is isomorphic to sl(2,R).

Abstract:
This study tried to establish if childhood maltreatment mediates the established relationship between family environ-ment and psychological well-being, in a sample of Maltese university students (N = 312). However, our analysis sug-gested partial mediation only. Moreover, results indicated that abusive families are less loving, socially integrated, organized, and more conflicted. Family environment contributed positively, albeit limited, to cognitive well-being after controlling for child abuse history. In particular, cohesion, do add unique variance to subjective well-being, after controlling for child abuse. This study replicates classic research on the important role that family environment plays in children’s holistic development.

Abstract:
In coping with the challenges of revolutionary or evolutionary change processes, change managers do not rely on single tools but on toolboxes containing several domains of tools. The impact of toolboxes on change performance depends both on the complementary inter-domain mix and the intra-domain blending of tools. The patterns of blending are investigated both conceptually and empirically with respect to scope, diversity and coupling of tools. Survey results indicate that blending practices are predominantly determined by rational tool evaluation and by task context.