We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that every integer is the sum of four squares (Lagrange's theorem). Since the required weak version is derivable from the theory IΔ0 + ∀x (xlog(x) exists), our results give a positive answer to a question of Macintyre (1986). In the rest of the paper we consider the number-theoretical consequences of a new combinatorial principle, the ‘Δ0-Equipartition Principle’ (Δ0EQ). In particular we give a new proof, (...) which can be formalized in IΔ0 + Δ0EQ, of the fact that every prime of the form 4n + 1 is the sum of two squares. (shrink)

Abstract -/- In this paper, I shall deal with quasi-(proper) names, that is expressions like ‘Mum’, ‘Dad’, ‘Grandpa’, ‘Grandma’ in English or ‘Papà’, ‘Mamma’, ‘Nonna’, ‘Nonno’ in Italian. I shall use examples both from English and Italian. Quasi-names are directly referential like proper names, even if they apparently exhibit some conceptual materials, which, however, are not active and are inert. They can be used as vocatives or as arguments of verbs. I called terms like ‘Mum’, ‘Dad’ ‘quasi-names’ because they have (...) certain characteristics of names (but they could also be called ‘indexical names’). They confer significance to an individual. Quasi-names are indexical, although the word ‘I’ does not appear in the proposition expressed. (shrink)

This paper explores the ontology of musical improvisation (MI). MI, as process in which creative and performing activities are one and the same generative occurrence, is contrasted with the most widespread conceptual resource used in inquiries about music ontology of the Western tradition: the type/token duality (TtD). TtD, which is used for explaining the relationship between musical works (MWs) and performances, does not fit for MI. Nonetheless MI can be ontologically related to MWs. A MW can ensue from MI and (...) MI can be required for performing a MW faithfully. As performance on a MW, MI can offer versions of a MW, manifest a MW, and, especially, use it as one of its ‘ingredients’. Recordings of MI present special challenges and an unexpected ontological revival. (shrink)

This volume addresses the intriguing issue of indirect reports from an interdisciplinary perspective. The contributors include philosophers, theoretical linguists, socio-pragmaticians, and cognitive scientists. The book is divided into four sections following the provenance of the authors. Combining the voices from leading and emerging authors in the field, it offers a detailed picture of indirect reports in the world’s languages and their significance for theoretical linguistics. Building on the previous book on indirect reports in this series, this volume adds an empirical (...) and cross-linguistic approach that covers an impressive range of languages, such as Cantonese, Japanese, Hebrew, Persian, Dutch, Spanish, Catalan, Armenian, Italian, English, Hungarian, German, Rumanian, and Basque. (shrink)

In this paper I aim at discussing the following questions: is improvisation an intentional action? If it is an intentional action, in what sense is improvisation intentional? Can improvisation contribute to the understanding of intentional action? I will argue that improvisation is not a bizarre case of action or a weakened action, but an intentional action in the proper sense. Moreover, improvisation exemplifies key features of intentional action as such.

L’articolo intende sondare la fondatezza ontologica di una categoria personologica fondamentale, in particolare in ambito ecclesiologico: il “noi”. Tale ricerca si sviluppa soprattutto nella sua rilevanza trinitaria, a partire dall’apporto offerto dal teologo tedesco Heribert Mühlen, il quale, nella sua opera pneumatologica Der Heilige Geist als Person. In der Trinität, bei der Inkarnation und im Gnadenbund: Ich-Du-Wir, approfondisce questo tema insieme ad altre tre parole-chiave: “io”, “tu”, “tra”.

Este ensayo se ocupa de discutir el renacimiento de la tradición republicana en los últimos años, particularmente gracias a pensadores como Quentin Skinner, Maurizio Viroli y Philip Pettit. Se aborda esta tradición en sus principales elementos constitutivos, a saber: 1) el concepto de república propiamente dicho; 2) el papel central de las virtudes cívicas; 3) la concepción republicana de libertad; y 4) el concepto de gobierno de las leyes. Se desarrolla, en primer lugar, un breve análisis de estos cuatros elementos, (...) al mismo tiempo que se ponen en evidencia algunos problemas históricos y teóricos. A continuación, se compara la posición de los teóricos republicanos, tanto clásicos como contemporáneos, con la propia de la tradición liberal-democrática, que, para aquéllos, constituye el principal blanco de esta polémica. Finalmente, se introduce una nueva corriente de pensamiento que los neo-republicanos dejan, curiosamente, de lado: el constitucionalismo. (shrink)

The paper discusses some recent suggestions offered by the so-called sensorimotor (or enactivist) theorists as to the problem of the explanatory gap, that is, the alleged impossibility of accounting for phenomenal consciousness in any scientific theory. We argue in the paper that, although some enactivist theorists’ suggestions appear fresh and eye-opening, the claim that the explanatory gap is (dis)solved is much overstated.

In this paper we continue the line of work initiated in “Building iteration trees”. It is shown that the existence of a certain kind of iteration tree of height ω is equivalent to the existence of a cardinal δ that is Woodin with respect to functions in the next admissible.

What do we mean when we talk about the identity of a musical work and what does such an identity involve? What in fact are the properties that make it something worth protecting and preserving? These issues are not only of legal relevance; they are central to a philosophical discipline that has seen considerable advances over the last few decades: musical ontology. Taking into account its main theoretical models, this essay argues that an understanding of the ontological status of musical (...) works should acknowledge the irreducible ambivalence of music as an "art of the trace" and as a "performative art." It advocates a theory of the musical work as a "social object" and, more specifically, as a sound artefact that functions aesthetically and which is based on a trace informed by a normative value. Such a normativity is further explored in relation to three primary ways of conceiving and fixing the trace: orality, notation and phonography. (shrink)

This article reviews three general themes pertaining to the transformation of Eastern European agriculture from a command system to a market oriented system. The first theme deals with the diverse character of Eastern European agriculture. In a context in which the agricultures of this region are often considered homogenous, acknowledgement of the varied dimension of this sector is a key element in both analytical and political terms. The second theme pertains to the “market”. The historical and theoretical dispute over the (...) role of the “market” has not only been central in the socio-economic reorganization of Eastern European countries and agricultures but is also a common element shared with the “West.” The third and final theme refers to the changing social stratification of rural regions. The emergence of new and powerful social groups and the demise of others represent fundamental aspects in the understanding of possible trajectories for development. The article concludes with a review of the contributions contained in this special issue of Agriculture and Human Values. (shrink)

I. Heureuse archi-tromperie À l’origine de la pensée il y a Eidos – éclat sans substance ni sens, archi-être de pure apparence avant toute chose. Ce qui advient d’abord, c’est le pur avoir lieu sans abord, qui concentre en soi tous les prestiges du non-être. Effraction sans plus, sans dépôt, dont le seul propre est l’absence de toute propriété, le rejet de tout attribut, la récusation de toute détermination, et par voie de conséquence l’impossibilité de toute individuation. Le premier est (...) l’u.. (shrink)

The present paper presents a philosofical analysis of the concept of control based on a specific characterization of the structure of control systems. The paper is subdivided into four section: in the first and the second sections the control dynamics is described and interpreted, while the last two sections briefly copy with the relationships between control, teleonomy, teleology and freedom.

Mind reading (i.e. the ability to infer the mental state of another agent) is taken to be the main cognitive ability required to share an intention and to collaborate. In this paper, I argue that another cognitive ability is also necessary to collaborate: representing others’ and ones’ own goals from a third-person perspective (other-centred or allocentric representation of goals). I argue that allocentric mind reading enables the cognitive ability of goal adoption, i.e. having the goal that another agent’s achieve p (...) because and as long as another agent has that goal that p. Having clarified the relevance of mutual goal adoption for acting jointly, I argue that when an intention is shared between several agents, each individual has an intention in favour of the joint action and one in favour of a joint mode of reasoning. This mode of reasoning is allocentric reasoning. Finally, I elaborate on the consequences of this view for the scientific study of human collaboration. (shrink)

En los Estados constitucionales modernos, se encuentra un conspicuo set de derechos, principios y valores éticos. En el presente trabajo se insiste en la necesidad de tener muy presente las investigaciones relativas a la racionalidad, el conflicto y los valores. Precisamente, porque los derechos se ..