Intuitionen, intuitiver Verstand und Intuition. Symposium zu: Eckart Förster: Die 25 Jahre der Philosophie

Against Kant, Eckart Förster claims that Goethe's methodology of intuitive understanding is a real possibility for us. Firstly, this essay shows that this methodology has to be strictly distinguished from the questionable use of intuitions in contemporary analytic philosophy; secondly, strong parallels between Goethe's intuitive understanding and Bergson's intuition are put forward. Both use intuitions as a tool to find essence concepts for natural kinds. Moreover, the parallels help naturalists (like me) to detach Förster's important insight from the idealistic contex

Analysis of Quickselect under Yaroslavskiy's Dual-Pivoting Algorithm

There is excitement within the algorithms community about a new partitioning method introduced by Yaroslavskiy. This algorithm renders Quicksort slightly faster than the case when it runs under classic partitioning methods. We show that this improved performance in Quicksort is not sustained in Quickselect; a variant of Quicksort for finding order statistics. We investigate the number of comparisons made by Quickselect to find a key with a randomly selected rank under Yaroslavskiy's algorithm. This grand averaging is a smoothing operator over all individual distributions for specific fixed order statistics. We give the exact grand average. The grand distribution of the number of comparison (when suitably scaled) is given as the fixed-point solution of a distributional equation of a contraction in the Zolotarev metric space. Our investigation shows that Quickselect under older partitioning methods slightly outperforms Quickselect under Yaroslavskiy's algorithm, for an order statistic of a random rank. Similar results are obtained for extremal order statistics, where again we find the exact average, and the distribution for the number of comparisons (when suitably scaled). Both limiting distributions are of perpetuities (a sum of products of independent mixed continuous random variables).Comment: full version with appendices; otherwise identical to Algorithmica versio

Does lowering dividend tax rates increase dividends repatriated?: evidence of intra-firm cross-border dividend repatriation policies by German Multinational Enterprises

This paper explores the impact dividend taxes exert on the dividends repatriated from foreign affiliates to their German parent company. Based on an augmented Lintner model of firms' dividend payout decisions, the paper focusses on cross-border intra-firm dividend payments of wholly-owned foreign affiliates in the manufacturing sector. Firm-level data from the Microdatabase Direct Investment (MiDi) of the Deutsche Bundesbank is used. Results firstly signal the validity of the original Lintner model for cross-border intra-firm dividend payments of German affiliates abroad, although the target payout ratio and the degree of dividend smoothing drops substantially once timeinvariant unobserved heterogeneity is controlled for. Secondly, results from an augmented Lintner model imply that increases in dividend taxes indeed have a statistically significant negative impact on the expected value of dividends repatriated: Evaluated at the overall mean dividend payment a one percentage point increase in the dividend tax rate would decrease dividends repatriated by about 3.5 percent. Evaluated at the mean of positive dividend payments a semi-elasticity of -1.6 is derived. --Dividend policy,taxes,lintner model,multinational enterprise

Analysis of pivot sampling in dual-pivot Quicksort: A holistic analysis of Yaroslavskiy's partitioning scheme

The final publication is available at Springer via http://dx.doi.org/10.1007/s00453-015-0041-7The new dual-pivot Quicksort by Vladimir Yaroslavskiy-used in Oracle's Java runtime library since version 7-features intriguing asymmetries. They make a basic variant of this algorithm use less comparisons than classic single-pivot Quicksort. In this paper, we extend the analysis to the case where the two pivots are chosen as fixed order statistics of a random sample. Surprisingly, dual-pivot Quicksort then needs more comparisons than a corresponding version of classic Quicksort, so it is clear that counting comparisons is not sufficient to explain the running time advantages observed for Yaroslavskiy's algorithm in practice. Consequently, we take a more holistic approach and give also the precise leading term of the average number of swaps, the number of executed Java Bytecode instructions and the number of scanned elements, a new simple cost measure that approximates I/O costs in the memory hierarchy. We determine optimal order statistics for each of the cost measures. It turns out that the asymmetries in Yaroslavskiy's algorithm render pivots with a systematic skew more efficient than the symmetric choice. Moreover, we finally have a convincing explanation for the success of Yaroslavskiy's algorithm in practice: compared with corresponding versions of classic single-pivot Quicksort, dual-pivot Quicksort needs significantly less I/Os, both with and without pivot sampling.Peer ReviewedPostprint (author's final draft

Faculties and Modularity

While theorizing about mental faculties had been in decline throughout the nineteenth and early twentieth century, cognitivism and classical science brought back questions about the architecture of mind. Within this framework, Jerry Fodor developed a functionalist approach to what he called the “modularity of the mind.” While he believes that cognitive science can only explain the lower faculties of the mind, evolutionary psychology seizes on the notion of modularity and transforms it into the radical claim that the mind is modular all the way up. By comparison, recent approaches that take cognition to be embodied and situated have renewed the radical criticism of faculties or modules that was dominant from the nineteenth century onward. The concept of module is a naturalized successor of the traditional concept of faculty, as this chapter shows, and the debate about modules is centrally a debate about the possibility of naturalizing the mind

Faculties and Phrenology

This Reflection considers how the science of phrenology relates to the notion of faculty. It asks: why is phrenology so appealing? It illustrates this with reference to modern culture. Firstly, the Reflection argues, phrenology relies on an easy line of reasoning: moral and mental faculties are found in specific areas of the brain. The more persistently such faculties prevail, the bigger the respective part of the brain. Secondly, phrenology produces easy visible evidence. You can read the mental makeup of someone by looking and feeling the lumps in their head. The Reflection goes on to look at the history of phrenology and relate it to issues of race

Pivot Sampling in Dual-Pivot Quicksort

The new dual-pivot Quicksort by Vladimir Yaroslavskiy - used in Oracle's Java runtime library since version 7 - features intriguing asymmetries in its behavior. They were shown to cause a basic variant of this algorithm to use less comparisons than classic single-pivot Quicksort implementations. In this paper, we extend the analysis to the case where the two pivots are chosen as fixed order statistics of a random sample and give the precise leading term of the average number of comparisons, swaps and executed Java Bytecode instructions. It turns out that - unlike for classic Quicksort, where it is optimal to choose the pivot as median of the sample - the asymmetries in Yaroslavskiy's algorithm render pivots with a systematic skew more efficient than the symmetric choice. Moreover, the optimal skew heavily depends on the employed cost measure; most strikingly, abstract costs like the number of swaps and comparisons yield a very different result than counting Java Bytecode instructions, which can be assumed most closely related to actual running time.Comment: presented at AofA 2014 (http://www.aofa14.upmc.fr/

Interdisziplinäres Forschungsvorhaben „Optimierung des Managements der Bodenfruchtbarkeit“ - Arbeitspaket Bodenverdichtung und Bodenbearbeitung

Zusammenfassung Die nachhaltige Erhaltung und Steigerung der Bodenfruchtbarkeit ist für ökologisch wirtschaftende Betriebe von höchster Bedeutung. Im Öko-Landbau hängt das Niveau der Bodenfruchtbarkeit – abgesehen von den kaum zu beeinflussenden standörtlichen Gegebenheiten – sehr von der Leistungsfähigkeit der Leguminosen (N2-Fixierungsleistung, Durchwurzelungsvermögen) ab. Sie haben somit die Schlüsselstellung für die Verbesserung des Bodenfruchtbarkeitsmanagements im Öko-Landbau, speziell im Marktfruchtbau. Leguminosen werden allerdings stark durch bodenbürtige Pathogene beeinträchtigt. Auch die Art der Bodenbearbeitung, die im Öko-Anbau vergleichsweise intensiv ist, und das Befahren der Böden haben einen Einfluss auf die Bodenfruchtbarkeit, da bekannt ist, dass Leguminosen empfindlich auf Verdichtungen reagieren. Folglich haben Strategien zur Förderung der Bodengesundheit und Vermeidung von Bodenverdichtungen eine hohe Relevanz. Hauptziel des interdisziplinären Forschungsvorhabens ist es, Maßnahmen zur besseren Ausschöpfung standörtlicher Ertragspotenziale ökologisch wirtschaftender vieharmer oder viehloser Marktfruchtbetriebe zu entwickeln