Umberto Eco -- Stephen Jay Gould -- Jean-Claude Carrière -- Jean Delumeau.

This is the second of a series of papers that investigate fragments of quasi-Nelson logic (QNL) from an algebraic logic standpoint. QNL, recently introduced as a common generalization of intuitionistic and Nelson’s constructive logic with strong negation, is the axiomatic extension of the substructural logic |$FL_{ew}$| (full Lambek calculus with exchange and weakening) by the Nelson axiom. The algebraic counterpart of QNL (quasi-Nelson algebras) is a class of commutative integral residuated lattices (a.k.a. |$FL_{ew}$|-algebras) that includes both Heyting and Nelson algebras (...) and can be characterized algebraically in several alternative ways. The present paper focuses on the algebraic counterpart (a class we dub quasi-Nelson implication algebras, QNI-algebras) of the implication–negation fragment of QNL, corresponding to the connectives that witness the algebraizability of QNL. We recall the main known results on QNI-algebras and establish a number of new ones. Among these, we show that QNI-algebras form a congruence-distributive variety (Cor. 3.15) that enjoys equationally definable principal congruences and the strong congruence extension property (Prop. 3.16); we also characterize the subdirectly irreducible QNI-algebras in terms of the underlying poset structure (Thm. 4.23). Most of these results are obtained thanks to twist representations for QNI-algebras, which generalize the known ones for Nelson and quasi-Nelson algebras; we further introduce a Hilbert-style calculus that is algebraizable and has the variety of QNI-algebras as its equivalent algebraic semantics. (shrink)

An erudite and witty collection of Umberto Eco's essays on mass culture from the 1960s through the 1980s, including major pieces which have not been translated into English before. The discussion is framed by opposing characterizations of current intellectuals as apocalyptic and opposed to all mass culture, or as integrated intellectuals, so much a part of mass culture as to be unaware of serving it. Organized in four main parts, "Mass Culture: Apocalypse Postponed," "Mass Media and the Limits of (...) Communication," "The Rise and Fall of Counter-Cultures," and "In Search of Italian Genius," Eco looks at a variety of topics and cultural productions, including the world of Charlie Brown, distinctions between highbrow and lowbrow, the future of literacy, Chinese comic strips, whether countercultures exist, Fellini's Ginger and Fred, and the Italian genius industry. (shrink)

In preference aggregation a set of individuals express preferences over a set of alternatives, and these preferences have to be aggregated into a collective preference. When preferences are represented as orders, aggregation procedures are called social welfare functions. Classical results in social choice theory state that it is impossible to aggregate the preferences of a set of individuals under different natural sets of axiomatic conditions. We define a first-order language for social welfare functions and we give a complete axiomatisation for (...) this class, without having the number of individuals or alternatives specified in the language. We are able to express classical axiomatic requirements in our first-order language, giving formal axioms for three classical theorems of preference aggregation by Arrow, by Sen, and by Kirman and Sondermann. We explore to what extent such theorems can be formally derived from our axiomatisations, obtaining positive results for Sen’s Theorem and the Kirman-Sondermann Theorem. For the case of Arrow’s Theorem, which does not apply in the case of infinite societies, we have to resort to fixing the number of individuals with an additional axiom. In the long run, we hope that our approach to formalisation can serve as the basis for a fully automated proof of classical and new theorems in social choice theory. (shrink)

A collection of essays discusses such topics as the nature of perception, the semiotic links between cognition and language, and iconism, with imaginative fables featuring animal heroes to illustrate the main points.

We look at extensions (i.e., stronger logics in the same language) of the Belnap–Dunn four-valued logic. We prove the existence of a countable chain of logics that extend the Belnap–Dunn and do not coincide with any of the known extensions (Kleene’s logics, Priest’s logic of paradox). We characterise the reduced algebraic models of these new logics and prove a completeness result for the first and last element of the chain stating that both logics are determined by a single finite logical (...) matrix. We show that the last logic of the chain is not finitely axiomatisable. (shrink)

"Eco wittily and enchantingly develops themes often touched on in his previous works, but he delves deeper into their complex nature... this collection can be read with pleasure by those unversed in semiotic theory." —Times Literary Supplement.

In this short discussion of the Irish modernist writer, the author establishes a link between the mind of James Joyce and medieval theology. He shows how Joyce's fiction was suffused by his reading of St. Thomas Aquinas, Giordano Bruno and Nicola da Cusa and the book creates a dialogue between the saint, the novelist and the critic.

School inclusion embodies an educational philosophy aimed at ensuring that each and every student, regardless of individual characteristics, abilities, personal circumstances, or social conditions, is fully engaged and actively involved in the educational experience. This approach emphasizes diversity as a value and promotes the acceptance and appreciation of individual differences within the school environment. Despite the desirability of inclusive education systems being enshrined in many international and national Declarations and regulations, practical approaches still often lean towards school “integration”, understood as (...) a paradigm of “assimilation”, which involves adapting disabled students to a school structure primarily designed for typical students. This article underscores the essential functions of assessing inclusion policies within individual educational institutions and, more broadly, evaluating mechanisms within the larger educational system to achieve continuous improvement in the real inclusion of all students, dedicating an in-depth analysis to the Italian context. The effective and adequate assessment in this field is challenging and methodological reflection is absolutely indispensable to define shared frameworks for evaluation policies. Building upon the recent OECD framework proposal (2023), this work suggests expanding the set of indicators to provide a more comprehensive and in-depth evaluation of school inclusion policies. (shrink)

Il volume si presenta come un manuale di riferimento sul pensiero di Umberto Galimberti, una miscellanea di studi cui ha contribuito un alto numero di studiosi di diverse discipline. Questo libro indaga il lungo arco del lavoro galimbertiano: dal pensiero simbolico, dalla fenomenologia alla psichiatria, fino ad approdare alla riflessione sull'età della tecnica e alla consulenza filosofica.

Serendipities is a careful unraveling of the fabulous and the false, a brilliant exposition of how unanticipated truths often spring from false ideas. From Leibniz's belief that the I Ching illustrated the principles of calculus to Marco Polo's mistaking a rhinoceros for a unicorn, Umberto Eco offers a dazzling tour of intellectual history, illuminating the ways in which we project the familiar onto the strange to make sense of the world. Uncovering layers of mistakes that have shaped human history, (...) Eco offers with wit and clarity such instances as Columbus's voyage to the New World, the fictions that grew around the Rosicrucians and Knights Templar, and the linguistic endeavors to recreate the language of Babel, to show how serendipities can evolve out of mistakes. With erudition, anecdotes, and scholarly rigor, this new collection of essays is sure to entertain and enlighten any reader with a passion for the curious history of languages and ideas. (shrink)

This paper discusses an earlier emendation to fr. 54 GRF Funaioli from Varro's De bibliothecis and argues that, while the text et citro refers to cedar oil, it should not be emended to et cedro. A comparison with a passage from Pliny the Elder (HN 13.86) is used to support the view presented in the article.

Essays discuss poetry, communication, television, form, aesthetics, bad taste, and art.

La crisi dello strutturalismo e i confini della semiotica in un volume importante della produzione di Eco. Un libro che trova la sua continuazione ideale in 'Lector in fabula'.

By a comparison between Maxwell's electrodynamics classically interpreted (MT) and relativistic electrodynamics (RED), this paper discusses whether the “asymmetries” in MT mentioned by A. Einstein in his 1905 relativity paper are only of a conceptual nature or rather involve specific empirical claims. It is shown that in fact MT predicts strongly asymmetric behaviour for very simple interactions, and an analysis is made of the extent of the “symmetry” achieved by means of relativistic postulates. A “low” velocity experiment is suggested which (...) could provide another test of the accuracy of RED with respect to MT. (shrink)

The world’s press may have lost interest in the ongoing enquiry into the deep‐rooted corruption in Italian business. But what exactly was going on, and what can be done to improve matters? The writers of this authoritative study are Faculty members of the prestigious Italian Business School, SDA Bocconi, Via F. Bocconi 8, 8‐20136 Milano, where Umberto Lago lectures in Strategy and Roberto Castoldi in Accounting. They both lecture on the Business Policy course at Bocconi University.

Why are we deeply moved by the misfortune of Anna Karenina if we are fully aware that she is simply a fictional character who does not exist in our world?But what does it mean that fictional characters do not exist? The present article is concerned with the ontology of fictional characters. The author concludes thatsuccessful fictional characters become paramount examples of the ‘real’ human condition because they live in an incomplete world what we have cognitive access to but cannot influence (...) in any way and where no deeds can be undone. Unlike all the other semiotic objects, which are culturally subject to revisions, and perhaps only similar to mathematical entities, the fictual characters will never change and will remain the actors of what they did once and forever. (shrink)

Recent work by Busaniche, Galatos and Marcos introduced a very general twist construction, based on the notion of _conucleus_, which subsumes most existing approaches. In the present paper we extend this framework one step further, so as to allow us to construct and represent algebras which possess a negation that is not necessarily involutive. Our aim is to capture the main properties of the largest class that admits such a representation, as well as to be able to recover the well-known (...) cases—such as _(quasi-)Nelson algebras_ and _(quasi-)N4-lattices_—as particular instances of the general construction. We pursue two approaches, one that directly generalizes the classical Rasiowa construction for Nelson algebras, and an alternative one that allows us to study twist-algebras within the theory of residuated lattices. (shrink)