Oeuvres complètes de N. H. Abel, mathématicien, avec des notes et développements

rédigées par ordre du roi, par B. HolmboeBd. 1: XVI, 479 Seiten ; Bd. 2: [4] Blätter, 294 Seiten, [1] Blat

Untersuchungen über die Reihe: 1 + (m/1)x + m·(m - 1)/(1·2)·x²+ m·(m - 1)·(m - 2)/(1·2·3)·x³+ ...

Written in French. First published in German, tr. by A.L. Crelle, in his Journal für reine und angewandte Mathematik, 1. Bd., 1826.Mode of access: Internet

Identifiability of Cause and Effect using Regularized Regression

We consider the problem of telling apart cause from effect between two univariate continuous-valued random variables X and Y. In general, it is impossible to make definite statements about causality without making assumptions on the underlying model; one of the most important aspects of causal inference is hence to determine under which assumptions are we able to do so. In this paper we show under which general conditions we can identify cause from effect by simply choosing the direction with the best regression score. We define a general framework of identifiable regression-based scoring functions, and show how to instantiate it in practice using regression splines. Compared to existing methods that either give strong guarantees, but are hardly applicable in practice, or provide no guarantees, but do work well in practice, our instantiation combines the best of both worlds; it gives guarantees, while empirical evaluation on synthetic and real-world data shows that it performs at least as well as the state of the art

Scientific Philosophy and Philosophical Science

International audiencePhilosophical systems have developed for centuries, but only in the nineteenth century did the notion of scientific philosophy emerge. This notion presented two dimensions in the early twentieth century. One dimension arose from scientists' concern with conceptual foundations for their disciplines, while another arose from philosophers' appetite for more rigorous philosophy. In the current paper, I will focus on David Hilbert's construct of "critical mathematics" and Edmund Husserl' and Jules Vuillemin's systematic philosophy. All these three thinkers integrated Kant's legacy with the axiomatic method. However, they did so in different ways, with Hilbert's goal being the opposite of that of Husserl or Vuillemin. Specifically, I will show how the scientism of Hilbert's mathematical epistemology aimed at shattering the ambition of philosophy to submit mathematical practices and problems to philosophy's own principles and methods, be they transcendental or metaphysical. On the other hand, phenomenology promoted the idea of a non-exact philosophical rigour and highlighted the need of a point of view encompassing positive sciences, ontology, and ethical values in connection with the dominant category of sense/meaning, and Jules Vuillemin built on from the inseparability of thought-scientific or philosophical-from the metaphysics of free will and choice

Konkurenční analýza stavebního spoření

Seznámení s problematikou stavebního spoření a jeho využití při řešení bytové situace. Porovnání současných podmínek s podmínkami platnými do 31.12.2003. Zhodnocení dané problematiky u jednotlivých staveních spořitelen. Zhodnocení SS do budoucna a jeho dopady do státního rozpočtu