"Hannah Arendt war der schwierigste Film, den ich je gemacht habe", sagt Margarethe von Trotta. Die grosse Denkerin Hannah Arendt fühlte sich.

In this article the authors intend to present a very important topic of the geometry of space: the polyhedra. After having introduced their definition, their presence will be shown in nature, in everyday life and in art, starting from ancient Greece up to the present day. First of all, we will deal with regular polyhedra; subsequently we will introduce the important family, especially in the applications, of the Archimedean polyhedra. Finally, the interesting Goldberg polyhedra will be presented.

Glowacki discusses how humans regularly face collective action problems that may result in either peaceful or aggressive between-group interactions. Peace and war probably coevolved in humans. Using a gene–culture evolutionary framework is a powerful way to analyse why, when, and how humans have the capacity to build and maintain long-term peaceful interactions between groups and also to wage deadly wars.

We observe a number of connections between recent developments in the study of constraint satisfaction problems, irredundant axiomatisation and the study of topological quasivarieties. Several restricted forms of a conjecture of Clark, Davey, Jackson and Pitkethly are solved: for example we show that if, for a finite relational structure M, the class of M-colourable structures has no finite axiomatisation in first order logic, then there is no set (even infinite) of first order sentences characterising the continuously M-colourable structures amongst compact (...) totally disconnected relational structures. We also refute a rather old conjecture of Gorbunov by presenting a finite structure with an infinite irredundant quasi-identity basis. (shrink)

In this work we will deal with ellipses and ovals, comparing them both from the geometric point of view and from the one of applications. There is a notable similarity between these curves so often it’s not possible to recognize which of the two figures is, unless we consider other elements to distinguish them. We will show the presence of both curves in architectural works and in treatises, motivating their use, when it’s possible, with geometric and technological considerations.

This paper deals with the dialectic “nature/culture” in the thought of José Ortega y Gasset and related to the ideas of salvation and tragedy. Justify the elaboration of his article in the fact that this topic has not been studied in-depth through the complete works of the philosopher of the vital reason. The results/conclusions are the following ones: In a first period, it stands out the primate of culture in Ortega´s thought, who considers the last one as saviour and also (...) as something antagonistic in relation to the more instinctive and irrational nature of the individual human being as a member of humanity. We can say that submission to natural inclinations, that symbolize our barbarous, irrational and savage side, appears in Ortega’s early writings as a form of tragedy or “radical evil” ; on the other hand, in his latter thought those ones will be interpreted by Ortega not in negative terms, but as something in continuity with culture, which can became a form of tragedy. (shrink)

Recently, several experimental tests devoted to quantitatively establish complementarity relations in quantum systems have been reported. Starting from the results of fully quantum single-particle self-nterference experiments, we critically review the concept of entanglement, arguing that this quantity is a peculiar trait of composite quantum systems, and thus it can be looked as a basic concept of quantum mechanics.

This note is motivated by Whitehead’s researches in inclusion-based point-free geometry as exposed in An Inquiry Concerning the Principles of Natural Knowledge and in The concept of Nature. More precisely, we observe that Whitehead’s definition of point, based on the notions of abstractive class and covering, is not adequate. Indeed, if we admit such a definition it is also questionable that a point exists. On the contrary our approach, in which the diameter is a further primitive, enables us to avoid (...) such a drawback. Moreover, since such a notion enables us to define a metric in the set of points, our proposal looks to be a good starting point for a foundation of the geometry metrical in nature (as proposed, for example, by L.M. Blumenthal). (shrink)

[St. Bonaventura: The Mind’s Search for God.].

At the turn of the seventeenth century, Bruno and Cavalieri independently developed two theories, central to which was the concept of the geometrical indivisible. The introduction of indivisibles had significant implications for geometry – especially in the case of Cavalieri, for whom indivisibles provided a forerunner of the calculus. But how did this event occur? What can we learn from the fact that two theories of indivisibles arose at about the same time? These are the questions addressed in this paper. (...) Relying on the methodology of “historical epistemology”, this paper asserts that the similarities and differences between the theories of Bruno and Cavalieri can be explained in terms of “shared knowledge”. The paper shows that the idea – on which both Bruno and Cavalieri build – that geometrical objects are generated by motion was part of the mathematical culture of the time. Tracing this idea back to its Pythagorean origins thus sheds light on the relationship between motion and continuum in mathematics. (shrink)

Knjiga, ki ji je posvečena pričujoča recenzija, prinaša prevod dveh krajših Bonaventurovih del, O trojni poti (De triplici via) in Kako se različne umetnosti zvajajo na teologijo (De reductione artium ad theologiam). Prevedla ju je filozofinja in klasična filologinja Nena Bobovnik, ki na KU Leuven pripravlja doktorat iz srednjeveške filozofije. Poleg spremne besede z naslovom »Zaris srednjeveške in skicaBonaventurove filozofije« sta še dva uvoda v piščevo misel. Najprej tri kateheze, ki jih je papež Benedikt XVI. – ki se je na (...) Bonaventurovo teologijo zgodovine osredotočil v habilitacijski nalogi – spomladi leta 2010 posvetil svojemu »prijatelju«, kot se sam izrazi; nato pa še esej »Teološko-filozofska hermenevtika pri sv. Bonaventuru in njen pomen za današnji čas«, ki ga je pripravil Branko Klun s Teološke fakultete UL. (shrink)