The Craig interpolation property is investigated for substructural logics whose algebraic semantics are varieties of semilinear pointed commutative residuated lattices. It is shown that Craig interpolation fails for certain classes of these logics with weakening if the corresponding algebras are not idempotent. A complete characterization is then given of axiomatic extensions of the “R-mingle with unit” logic that have the Craig interpolation property. This latter characterization is obtained using a model-theoretic quantifier elimination strategy to determine the varieties of Sugihara monoids (...) admitting the amalgamation property. (shrink)

This work presents a model-theoretic approach to the study of the amalgamation property for varieties of semilinear commutative residuated lattices. It is well-known that if a first-order theory T enjoys quantifier elimination in some language L, the class of models of the set of its universal consequences \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\rm T_\forall}$$\end{document} has the amalgamation property. Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rm Th}(\mathbb{K})}$$\end{document} be the theory of an elementary subclass (...) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{K}}$$\end{document} of the linearly ordered members of a variety \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{V}}$$\end{document} of semilinear commutative residuated lattices. We show that whenever \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rm Th}(\mathbb{K})}$$\end{document} has elimination of quantifiers, and every linearly ordered structure in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{V}}$$\end{document} is a model of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rm Th}_\forall(\mathbb{K})}$$\end{document}, then \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{V}}$$\end{document} has the amalgamation property. We exploit this fact to provide a purely model-theoretic proof of amalgamation for particular varieties of semilinear commutative residuated lattices. (shrink)

This work presents a model-theoretic approach to the study of first-order theories of classes of BL-chains. Among other facts, we present several classes of BL-algebras, generating the whole variety of BL-algebras, whose first-order theory has quantifier elimination. Model-completeness and decision problems are also investigated. Then we investigate classes of BL-algebras having (or not having) the amalgamation property or the joint embedding property and we relate the above properties to the existence of ultrahomogeneous models.

The paper is devoted to an examination of the epistemic account of the notion of deductive inference recently provided by D. Prawitz, and based on the notion of ground. This is part of the general scenario constituted by the “Proof-theoretic semantics”, presented since the ’70s of the last century as an alternative to the standard model-theoretic explication of the notion of logical consequence.Our argument pivots on the so-called “Curry–Howard Correspondence”, which exploited the idea of considering proofs as proper mathematical objects (...) in a remarkable way. A sort of rational reconstruction of this idea is outlined, tracing it back to Hilbert and Husserl’s investigations. (shrink)

1. Epistemologia, logica e dialettica -- 2. Fisica, antropologia e metafisica -- 3. Filosofia pratica -- 4, pt. 1. L'influenza di Aristotele: antichità, Medioevo e Rinascimento -- v. 4, pt. 2. L'influenza di Aristotele: età moderna e contemporanea.

This is a book about food, philosophy, and intellectual property rights. Taken separately, these are three well-known subjects; but it is uncommon to consider them together. Delivering a rich field of disputes, the book is comprised of 50 case studies, organized around eight themes: images; genericity and descriptiveness; language traps; procedures; menus, recipes, and creativity; boundaries; biotech; and empowerment. The introductory chapter frames the selection of cases and encourages readers to look beyond them, envisaging new lenses to look at food (...) vis-à-vis intellectual property. The terrain encompassed is wide-ranging and reaches out to fine-grained aspects of food products, recipes, and cooking. Conceived for a wide scope of readers, the volume ultimately interrogates the links between food and cultural identity, bringing to the fore the ethical, political, aesthetic worth of culinary arts and gastronomic experiences. This accessible book will be of value to scholars, students, practitioners and others with interests in the areas of intellectual property, food law and food studies. (shrink)

Täglich verwenden wir Ausdrücke, mit denen wir etwas anderes meinen, als wir sagen. Wir ersetzen Unaussprechliches, wir bleiben höflich, und manche suchen unangenehme Wahrheiten oder ihre tatsächlichen Absichten zu verschleiern. Solche verhüllenden Ausdrücke wurden schon in der Antike als Euphemismen bezeichnet. Ihr Gegenteil, meist krasse Negativbezeichnungen, heißen Dysphemismen. Ob sie als Tabubruch, als Verstoß gegen Konventionen oder als unangemessenes Verhalten gelten, hängt von den Textsorten, den Situationen und Diskursen ab, in denen sie gebraucht werden. Oft geht es um Tod oder (...) Krankheiten, um den Mediendiskurs über Immigranten oder Minderheiten, aber auch um Arbeitszeugnisse oder die Werbung für Produkte und Dienstleistungen. Das alles sind Themen der Beiträge in diesem Buch. (shrink)

In this paper I argue that Rawlsians have largely misunderstood the idea of an overlapping consensus of reasonable comprehensive doctrines, thereby failing to delineate in an appropriate way the place of comprehensive doctrines in political liberalism. My argument rests on two core claims. The first claim is that (i) political liberalism is committed to three theses about the overlapping consensus. The first thesis concerns the subject of the overlapping consensus; the second thesis concerns the function of the overlapping consensus; the (...) third thesis explains how the overlapping consensus can serve its function in accordance with political liberalism’s commitment to epistemic neutrality. The second claim on which my argument relies is empirical: (ii) Rawlsians typically deny at least one of the three theses to which political liberalism is committed. Based on (i) and (ii), I conclude that Rawlsians have hitherto provided unconvincing accounts of the place of comprehensive doctrines in political liberalism. (shrink)

Our usual method" is an expression that Aristotle uses in a passage of the Politics (I.1, 1252a17-20) to describe the technique of subdividing a composite object of study into the elements that make it up, in order to study the possible combinations. What theory is the basis for this method? Is it really a usual method for Aristotle? Enrico Rini responds to these questions, starting with the analysis of some passages of the Aristotelian corpus that refer to concepts of (...) the part and the whole. From these passages, Rini attempts to extrapolate a theory that Aristotle states explicitly only on occasion. The mereology that emerges from this study is not a formal theory, unlike the logical mereology present today, and therefore takes into account different types of the whole and the part, with a scope that has applications for the field of biology. (shrink)

The stated aim of cryptocurrencies is to free the monetary system from the need to trust financial intermediaries, by relying on incentive design and technology. Many descriptive studies, however, have questioned cryptocurrencies’ delivery on the promise of trustlessness. This paper promotes a normative analysis of trust in cryptocurrencies by discussing (i) whether trust is in principle eliminable, and (ii) whether trustlessness is in itself a desirable goal. These issues are closely related, we argue, to the further issue of what kind (...) of institutions cryptocurrencies represent. We discuss the cognitive functions played by cryptocurrencies through the lens of the “extended mind” hypothesis in the philosophy of mind and hence conceive of cryptocurrencies as mind-extending institutions. As the models of institutional mind extension differ in the fiduciary bond they assume exists between individuals and institutional resources, we compare the reliance-based model of “scaffolding institutions” with the trust-based model of “cognitive institutions,” showing that the ineliminability and desirability of trust lead to seeing cryptocurrencies as instances of the latter. In the end, our discussion suggests that trust is a necessary component of cryptocurrencies’ cognitive functions and its promotion helps to perform such cognitive functions more effectively and sustainably. (shrink)

Enrico Müller legt hier die erste philosophische Gesamtdarstellung zur Bedeutung der Griechen für Nietzsches Denken vor. Er zeigt, wie sich in Auseinandersetzung mit dem Griechentum Nietzsches eigene Philosophie entwickelte, und problematisiert deren Abgrenzungen von der Logosphilosophie der griechischen Klassik. Müller kommt dabei zu dem Schluss, dass auch Nietzsches Philosophie letztlich auf die Vorgaben der sokratisch-platonischen Dialektik angewiesen bleibt.

The idea of an ?inversion principle?, and the name itself, originated in the work of Paul Lorenzen in the 1950s, as a method to generate new admissible rules within a certain syntactic context. Some fifteen years later, the idea was taken up by Dag Prawitz to devise a strategy of normalization for natural deduction calculi (this being an analogue of Gentzen's cut-elimination theorem for sequent calculi). Later, Prawitz used the inversion principle again, attributing it with a semantic role. Still working (...) in natural deduction calculi, he formulated a general type of schematic introduction rules to be matched ? thanks to the idea supporting the inversion principle ? by a corresponding general schematic Elimination rule. This was an attempt to provide a solution to the problem suggested by the often quoted note of Gentzen. According to Gentzen ?it should be possible to display the elimination rules as unique functions of the corresponding introduction rules on the basis of certain requirements?. Many people have since worked on this topic, which can be appropriately seen as the birthplace of what are now referred to as ?general elimination rules?, recently studied thoroughly by Sara Negri and Jan von Plato. In this study, we retrace the main threads of this chapter of proof-theoretical investigation, using Lorenzen's original framework as a general guide. (shrink)

Exploring the metaphysics of deep disagreements, Ranalli identifies several essential features shared by all such disputes. These very features constitute a set of adequacy conditions that any satisfactory theory of deep disagreements must meet. The paper explains how Coliva’s Wittgensteinian hinge theory can satisfy Ranalli’s persistence desideratum. According to this condition, any appropriate theory must explain why deep disagreements tend to be persistent and thus unresolved without presupposing that they are rationally irresolvable. First, the work critically discusses how Coliva utilizes (...) her proposed view to account for this desideratum. Second, the paper points out that Coliva’s response is partly problematic because of Ranalli’s definition of deep disagreements for Wittgensteinian hinge theories, which over-generates instances of genuine deep disagreements. Third, the work argues that Coliva’s theory can satisfy Ranalli’s persistence desideratum by resolving a deep disagreement between an anti-vaccination advocate and a proponent of vaccination using an expanded version of Pritchard’s side-on approach. Finally, the paper critically engages with Coliva on the solvability of deep disagreements. (shrink)

A rigorous ab initio derivation of the (square of) Dirac’s equation for a particle with spin is presented. The Lagrangian of the classical relativistic spherical top is modified so to render it invariant with respect conformal changes of the metric of the top configuration space. The conformal invariance is achieved by replacing the particle mass in the Lagrangian with the conformal Weyl scalar curvature. The Hamilton-Jacobi equation for the particle is found to be linearized, exactly and in closed form, by (...) an ansatz solution that can be straightforwardly interpreted as the “quantum wave function” of the 4-spinor solution of Dirac’s equation. All quantum features arise from the subtle interplay between the conformal curvature acting on the particle as a potential and the particle motion which affects the geometric “pre-potential” associated to the conformal curvature itself. The theory, carried out here by assuming a Minkowski metric, can be easily extended to arbitrary space-time Riemann metric, e.g. the one adopted in the context of General Relativity. This novel theoretical scenario appears to be of general application and is expected to open a promising perspective in the modern endeavor aimed at the unification of the natural forces with gravitation. (shrink)