Some important results about art gallery theorems are proposed, starting from Chvátal’s essay, using also polygon triangulations and orthogonal polygons.

In this paper I consider some data of Covid-19 infection in Italy from the 20th of February to the 29th of June 2020. Data are analyzed using some fits based on mathematical models. This analysis may be proposed to students of the last class of the Liceo Scientifico in order to debate a real problem with mathematical tools.

In this paper the author presents a new form of hexagon and the solution of the open problem of classifying plane hexagons. In particular are illustrated the forms of crossed and simple n -gons for n = 3, 4, 5, 6 and also the forms of simple ones for n = 7, 8, 9. A graphic way to construct new forms of polygons is illustrated.

In this paper we compare the strategies applied by two successful biological components of the ecosystem, the viruses and the human beings, to interact with the environment. Viruses have had and still exert deep and vast actions on the ecosystem especially at the genome level of most of its biotic components. We discuss on the importance of the human being as contraptions maker in particular of robots, hence of machines capable of automatically carrying out complex series of actions. Beside the (...) relevance of designing and assembling these contraptions, it is of basic importance the goal for which they are assembled and future scenarios of their possible impact on the ecosystem. We can’t procrastinate the development and implementation of a highly inspired and stringent “ethical code” for human beings and humanoid robots because it will be a crucial aspect for the wellbeing of the mankind and of the entire ecosystem. (shrink)

The political legacy of classical German philosophy can contribute in a crucial way to the most recent developments of contemporary political thought, thereby also making sense of the contradictions underlying the social practices and institutional values of our societies. What justifies this perspective is, in the first place, the complexity of contemporaneity, which holds within itself a doubleness that can be understood in the light of the conceptual tools of classical German philosophy. On the one hand, contemporary societies seem to (...) be facing relentless crises in the modern idea of democracy, the political subject of the nation-state, and capitalist economic structures. On the other hand, there is an ever-increasing demand for rights and new forms of recognition, not to mention the emergence of grassroots movements that strive for greater political participation and generate new collective subjectivities. By radically questioning traditional philosophical categories, Kant, Fichte and Hegel provide a new and insightful understanding of the crucial challenges of modernity. They outline a conception of practical rationality and its multiple manifestations that is irreplaceable for philosophically understanding our contemporary world. (shrink)

This article aims to provide a semiotic analysis of environmental law and youth protests. More precisely, drawing on speech act theory this article regards both as types of communication and teases out the inherent voice and message, specifically with regard to the interests of future generations. The argument unfolds in three steps. First, the article looks into speaker and speech of environmental law and argues that it speaks, as legislation does, in the first-person plural voice of a ‘we’. Second, the (...) article examines a speech of Greta Thunberg through the lens of Stanley Cavell’s theory of passionate utterances. This interpretation will unlock the political stakes of Thunberg’s speech as she claims standing with those responsible for enacting environmental law. Finally, the consequences of this reading will be analysed by relating message and voice of environmental law. As youth protests question ordinary forms of political representation, new ways of safeguarding the interests of future generations are called upon. (shrink)

En jetant la sonde de l’interrogation philosophique au lieu de soi, Jean-Luc Marion nous donne une approche organique et originale à la pensée d’Augustin, en entrecroisant entre eux deux plans herméneutiques : sur le premier, l’on poursuit un itinéraire de rapprochement au cœur de la confessio augustinienne permettant de réduire le vaste univers sémantique d’Augustin à un noyau génétique unifiant; sur le second plan, le parcours philosophique de l’auteur se développe ultérieurement, tendant à désarticuler un bloc théorique d’ontologie et métaphysique (...) et atteignant ainsi par une voie phénoménologique une idée de philosophie finalement affranchie de la présupposition du caractère central de la question de l’étant et du fondement. En tout cas, même si l’on ne veut pas donner trop d’éclat à la critique anti-ontologique et antimétaphysique caractérisant l’approche à la pensée augustinienne proposée dans cet ouvrage, l’acquis spéculatif de celle-ci ne semble pas diminuer. Un parmi les mérites principaux de ce livre est d’avoir restitué à la confessio sa dignité théorique, en y apercevant un lieu phénoménologique originaire où la relation entre moi et Dieu se noue; une relation dont le caractère paradoxal, autrement insoutenable, est résolu par le primat du don et de l’amour. Ce sont tous ces traits originaux qui nous mènent à dire qu’Au lieu de soi n’est pas seulement un livre sur Augustin, car il est plus qu’un livre sur Augustin. (shrink)

This article analyses the use of the term “‘political oeconomy” in the Wealth of Nations, considered by many the founding text of the discipline of Political Economy. It shows that Adam Smith could not accept the use of the term “political oeconomy” that had been made by other authors to indicate the subject matter of his scientific inquiry, devoted to the nature and causes of the wealth of nations; he used the term “political oeconomy” as a synonym for economic policy, (...) especially in the fourth book of the Wealth of Nations. In order to understand this statement, it is necessary to keep in mind the methodological and epistemological perspective developed by Smith; in his view, the inquiry into the nature and causes of the wealth of nations would have to discover the almost unchangeable rules that presided over the choices of the legislators in the field of public economy and in the management of public resources. By contrast, the term “political oeconomy” was used by Smith exactly to indicate the policies really adopted in these fields, policies which frequently altered the system of natural liberty. (shrink)

Because of a strong similarity between two passages in Philo Judaeus, Cher. 37 and Her. 206, and the verb ejpikhrukeuvomai which is used in both loci is almost always completed by a dative. The Author proposes to read bivw/ instead of bivou at Cher. 37.

Substantial evidence supports the perspective that the people of Ancient Greece had a language for and some use for drugs, both for the purpose of medicine and poison; however, the question remains whether Ancient Greek civilization held a concept approximating what we today call drug addiction. This article explores the textual evidence for the use of two drugs, nepenthes and cannabis, in Ancient Greece. While the existence of nepenthes remains in doubt, the use of cannabis is well documented. Either drug (...) or both drugs may have been used in the rites of the Bacchic and Orphic mysteries, which might explain why there are so few references to these drugs in the Ancient Greek literature. (shrink)

The discovery of incommensurability by the Pythagoreans is usually ascribed to geometric or arithmetic questions, but already Tannery stressed the hypothesis that it had a music-theoretical origin. In this paper, I try to show that such hypothesis is correct, and, in addition, I try to understand why it was almost completely ignored so far.

Luigi Giussani, a high school religion teacher throughout the 1950s and 1960s, grounded his teachings in the vast body of experience to be found in Christianity's two-thousand-year history. He told his students, “I'm not here to make you adopt the ideas I will give you as your own, but to teach you a method for judging the things I will say.” Throughout his life, education was one of Giussani's primary intellectual interests. He believed that effective education required an adequate (...) background in the Christian tradition, presented within a lived experience that underscored the capacity of the faith to answer universal questions. What he proposed was a process that allowed one to sift through tradition, critically examining it and comparing it against the ultimate criteria for judgment: the desires of the heart. In Giussani's view, the primary concern was to “educate the human heart as God made it.” In The Risk of Education he states that fear leads students to associate this process of criticism with negativity or doubt. Yet, without an education in criticism, students cannot develop conviction. At a time when young people are abandoning the church and questioning the value of faith, Giussani's method of judging and verifying Christianity as an experience seems a necessary intervention. In The Risk of Education he argues that, ultimately, education and the Christian message reveal themselves through human freedom. (shrink)

Following the murder of George Floyd, the Black Lives Matter-movement (BLM) took to the streets to protest against institutional racism. In these protests, one could often hear the slogan “No Justice, No Peace”. Drawing on legal theory, speech act theory and phenomenology, this article investigates what kind of justice and peace are called upon and how the slogan functions as a claim addressed to the legal order. First, the article shows that the rule of law provides a comprehensive normative framework (...) to evaluate what went wrong during the arrest of George Floyd. Second, the article maintains that the slogan should be understood as a passionate utterance in the sense of Stanley Cavell. Finally, drawing on a responsive phenomenology of legal order inspired by the work of Bernhard Waldenfels, the article concludes that the slogan is an extraordinary claim questioning the legal order, showing its contingent origins. (shrink)

The recension G of the Vita Aesopi has received a fair amount of attention after the editio princeps by Perry. In recent years, Papathomopoulos and Ferrari have emended scores of corrupt passages in their fine editions. I will offer only one note, dealing with a section that has been left unclear.

The recension G of the Vita Aesopi has received a fair amount of attention after the editio princeps by Perry. In recent years, Papathomopoulos and Ferrari have emended scores of corrupt passages in their fine editions. I will offer only one note, dealing with a section that has been left unclear.