The question of whether it is possible to characterise grammatical knowledge in probabilistic terms is central to determining the relationship of linguistic representation to other cognitive domains. We present a statistical model of grammaticality which maps the probabilities of a statistical model for sentences in parts of the British National Corpus (BNC) into grammaticality scores, using various functions of the parameters of the model. We test this approach with a classifier on test sets containing different levels of syntactic infelicity. With (...) appropriate tuning, the classifiers achieve encouraging levels of accuracy. These experiments suggest that it may be possible to characterise grammaticality judgements in probabilistic terms using an enriched language model. (shrink)

This book develops a theory of enriched meanings for natural language interpretation that uses the concept of monads and related ideas from category theory. The volume is interdisciplinary in nature, and will appeal to graduate students and researchers from a range of disciplines interested in natural language understanding and representation.

We prove that every quasi-Hopfian finitely presented structure _A_ has a _d_- \(\Sigma _2\) Scott sentence, and that if in addition _A_ is computable and _Aut_(_A_) satisfies a natural computable condition, then _A_ has a computable _d_- \(\Sigma _2\) Scott sentence. This unifies several known results on Scott sentences of finitely presented structures and it is used to prove that other not previously considered algebraic structures of interest have computable _d_- \(\Sigma _2\) Scott sentences. In particular, we show that every (...) right-angled Coxeter group of finite rank has a computable _d_- \(\Sigma _2\) Scott sentence, as well as any strongly rigid Coxeter group of finite rank. Finally, we show that the free projective plane of rank 4 has a computable _d_- \(\Sigma _2\) Scott sentence, thus exhibiting a natural example where the assumption of quasi-Hopfianity is used (since this structure is not Hopfian). (shrink)

Inquisitive first-order logic, InqBQ, is a system which extends classical first-order logic with formulas expressing questions. From a mathematical point of view, formulas in this logic express properties of sets of relational structures. This paper makes two contributions to the study of this logic. First, we describe an Ehrenfeucht–Fraïssé game for InqBQ and show that it characterizes the distinguishing power of the logic. Second, we use the game to study cardinality quantifiers in the inquisitive setting. That is, we study what (...) statements and questions can be expressed in InqBQ about the number of individuals satisfying a given predicate. As special cases, we show that several variants of the question how many individuals satisfy α(x) are not expressible in InqBQ, both in the general case and in restriction to finite models. (shrink)

Uno dei principali problemi nello studio della mente e della sua "collocazione" consiste nell'identificazione del corretto Livello di Astrazione a cui le varie descrizioni fenomeniche e le corrispondenti ipotesi esplicative possono essere sviluppate e confrontate. L'articolo contribuisce all'attuale dibattito metodologico in filosofia della mente analizzando due nozioni fondative, quella di modello e quella di simulazione, sulla base del concetto di Livello di Astrazione. L'ambito è quello del Metodo delle Astrazioni, proposto in Floridi e Sanders [2003]. Il Metodo delle Astrazioni si (...) basa su una particolare branca dell'informatica teorica, quella dei Metodi Formali (Roever e Engelhardt [1998]; Woodcock e Davies [1996]), dove la matematica discreta è utilizzata per descrivere analiticamente le specifiche del comportamento di sistemi che elaborano informazioni. I sistemi sono descritti in termini di osservabili e regole di transizione, cioè come sistemi di transizione. Le descrizioni comportano l'utilizzo di variabili che rappresentano osservabili nella realtà, astraendo da altri eventuali osservabili. L'idea di fondo del Metodo delle Astrazioni è che tale processo di filtraggio sia ineliminabile in qualsiasi accesso alla realtà. Il tentativo di sondare un sistema in maggiore profondità produce una maggiore astrazione delle teorie e degli oggetti teorici che descrivono tale sistema. Il Metodo delle Astrazioni si presenta quindi come uno strumento per organizzare e chiarificare le varie teorie che intendono fornire una spiegazione della realtà o della conoscenza. La principale tesi dell'articolo è che "modello" e "simulazione" non possano essere pensati come nozioni a sé stanti, ma che la loro natura possa essere chiarita nei termini di tipi di relazioni tra sistemi di transizione. Nello specifico, si argomenta che la relazione di simulazione è una relazione tra gli osservabili di sistemi di transizione, mentre il modello è una relazione tra le regole di transizione di questi sistemi. Dati questi due nuovi tipi di relazioni, è possibile arricchire con ulteriori strutture di analisi il Metodo delle Astrazioni, estendendo la sua applicabilità. Queste strutture sono discusse nell'articolo come "Reti di Astrazione". (shrink)

This is the Editorial of the Research Topic (Special Issue) in Frontiers in Psychology and Frontiers in Neurorobotics: Intrinsic motivations and open-ended development in animals, humans, and robots.

In this paper, we report on an experiment with The Walking Dead (TWD), which is a narrative-driven adventure game with morally charged decisions set in a post-apocalyptic world filled with zombies. This study aimed to identify physiological markers of moral decisions and non-moral decisions using infrared thermal imaging (ITI). ITI is a non-invasive tool used to capture thermal variations due to blood flow in specific body regions that might be caused by sympathetic activity. Results show that moral decisions seem to (...) elicit a significant decrease in temperature in the chin region 20 seconds after participants are presented with a moral decision. However, given the small sample involved, and the lack of significance in other regions, future studies might be needed to confirm the results obtained in this work. (shrink)

Plutarque nous raconte [VP I.1, 12.4.4–5] que le grand Varron s’adressa un jour à un certain Tarutius, connu pour ses talents de mathématicien et d’astrologue, pour déterminer le jour et l’heure de la naissance de Romulus « de la même manière que l’on tire l’analyse des problèmes géométriques» [ὥσπερ αἱ τῶν γεωμετρικῶν ὑφηγοῦνται προβλημάτων ἀναλύσεις]. Or, puisque dans la science astrologique ancienne on pouvait prédire, en prenant le jour et l’heure de la naissance d’un homme, ce que lui ré...

We continue the work on the relations between independence logic and the model-theoretic analysis of independence, generalizing the results of [15] and [16] to the framework of abstract independence relations for an arbitrary AEC. We give a model-theoretic interpretation of the independence atom and characterize under which conditions we can prove a completeness result with respect to the deductive system that axiomatizes independence in team semantics and statistics.

Classical first-order logic \ is commonly used to study logical connections between statements, that is sentences that in every context have an associated truth-value. Inquisitive first-order logic \ is a conservative extension of \ which captures not only connections between statements, but also between questions. In this paper we prove the disjunction and existence properties for \ relative to inquisitive disjunction Open image in new window and inquisitive existential quantifier \. Moreover we extend these results to several families of theories, (...) among which the one in the language of \. To this end, we initiate a model-theoretic approach to the study of \. In particular, we develop a toolkit of basic constructions in order to transform and combine models of \. (shrink)

Classical first-order logic \ is commonly used to study logical connections between statements, that is sentences that in every context have an associated truth-value. Inquisitive first-order logic \ is a conservative extension of \ which captures not only connections between statements, but also between questions. In this paper we prove the disjunction and existence properties for \ relative to inquisitive disjunction Open image in new window and inquisitive existential quantifier \. Moreover we extend these results to several families of theories, (...) among which the one in the language of \. To this end, we initiate a model-theoretic approach to the study of \. In particular, we develop a toolkit of basic constructions in order to transform and combine models of \. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Advances in Peircean Mathematics: The Colombian School ed. by Fernando ZalameaGianluca CaterinaFernando Zalamea (Ed.) Advances in Peircean Mathematics: The Colombian School Berlin, Boston: De Gruyter, 2022. 212 pp. (incl. index).The volume Advances in Peircean Mathematics is an important, very much needed contribution towards a deeper understanding of the impact of Peirce's work especially in the fields of mathematics, logic, and semiotic. It fills a gap in the current (...) literature by recasting some of [End Page 373] Peirce's profound mathematical insights into a formal framework. This is a finely edited editorial project, which summarizes the work of more than two decades done by a group of scholars—the Colombian School—lead by Fernando Zalamea, a pioneer of Peirce studies, and pragmatism in general, in Latin America.The structure of the volume unfolds in three dense chapters, each corresponding to a specific mathematical context connected to various aspects of Peirce's work. Broadly speaking, in the first chapter, Gustavo Arengas proposes the theory of higher category theory as a natural framework to represent the main traits of Peirce's semiotic; in the second chapter, Francisco Vargas develops a thorough set-theoretical model of Peirce's continuum; in the third chapter, Arnold Oostra, in a truly Peircean spirit, formalizes the notion of Intuitionistic Existential Graphs, emphasizing the idea that intuitionistic logic is the most natural context to represent and understand Peirce's diagrammatic logic. The fourth and last chapter, penned by Zalamea, provides the reader with a solid summary of the main results presented in the volume along with a robust road map to navigate through the technical details of the text.Mathematics, as implied by the title of the volume, is at the core of this project, and the authors do not shy away from the complexity, details, and depth of it in order to shed light on some of the most fundamental and groundbreaking nature of Peirce's ideas. That level of rigor and formal soundness is certainly one of the strengths of the volume, although readers who may not be acquainted with at least some basic notions of category theory or with the mathematics of Peirce's work, may find some of the text a bit terse—this is not a casual reading and it does require a certain level of commitment in order to appreciate the depth of the provided insights. On the other hand, all the background material is clearly laid out, making the volume a self-contained work which can be thoroughly enjoyed by a general audience.The real upshot of recasting some of Peirce's intuitions within the fabric of formal mathematics is not only that of providing the instruments to clarify those ideas, but also that of highlighting the role that Peirce's work has been playing in the development of modern mathematics in many relevant aspects, from the very genesis of category theory—which today is widely regarded as a necessary and unifying language in several fields of the mathematical and physical sciences—to the development of non-standard analysis, just to mention a few of them.An elegant instance of such perspective is offered by Gustavo Arengas in the first chapter, where it is argued that ∞-categories can be used to model the natural order of hierarchies implicit in Peirce's conception of the basic triadic relation between sign, object, and interpreter. What, at first glance, may seem just a simple analogy, unfolds onto a methodical and enlightening analysis of Peirce's semiotic, as the author builds [End Page 374] the connections with the relevant categorical constructions in a precise manner. Most of the rest of the chapter focuses on Peirce's notions of the pragmatic and pragmaticist maxim, and the use of basic structures such as monads, limits, presheaves and sheaves as the natural environment to better convey their meaning, both from a mathematical and a philosophical perspective. The reader will find it interesting to realize that, by delving deeper into the understanding of the relational nature of category theory, a great chunk of Peirce's work can be seen as fundamentally intertwined with the apparatus and the language of modern mathematics... (shrink)

L'opera di Primo Levi presenta un caso straordinariamente ricco e in qualche modo enigmatico di intertestualità. Con questo volume si è cercato di tracciare i lineamenti di una mappa immaginaria, uno schema degli innesti, intertesti e trapianti che collegano l'opera leviana ai libri altrui.

This study aimed to evaluate if eye blinks can be used to discriminate players with different performance in a session of Nintendo Entertainment System (NES) Tetris. To that end, we developed a state-of-the-art method for blink extraction from EAR measures, which is robust enough to be used with data collected by a low-grade webcam such as the ones widely available on laptop computers. Our results show a significant decrease in blink rate per minute (blinks/m) during the first minute of playing (...) Tetris. After having defined 3 groups of proficiency based on in-game performance (Novices, Intermediates, and Experts) we found out that expert players display a significantly lower decrease in blinks/m compared to novices during the first minute of gameplay, which shows that Tetris players' proficiency can be detected by looking at eye blinks/m variations during the early phase of a game session. This difference in blinks/m is observed throughout the entire game session, which supports the general conclusion that proficient Tetris players have a lower decrease in blinks/m, even when playing more difficult levels. Finally, we offer some interpretations of this effect and the relationship that our results may have with the visual cognitive workload experienced during the gameplay. (shrink)

Inquisitive first order logic is an extension of first order classical logic, introducing questions and studying the logical relations between questions and quantifiers. It is not known whether is recursively axiomatizable, even though an axiomatization has been found for fragments of the logic. In this paper we define the \—classical antecedent—fragment, together with an axiomatization and a proof of its strong completeness. This result extends the ones presented in the literature and introduces a new approach to study the axiomatization problem (...) for fragments of the logic. (shrink)

Il passaggio dalle tradizioni metaforiche ai diversi linguaggi come momento per individuare gli oggetti di cui è possibile parlare in campo politico.

The discourse regarding intentionality and interpretation in analytic philosophy of art, although ample and lively, has concerned itself almost exclusively with the literary medium. Starting from a paper published by Hans Maes, I discuss the complications that may arise in straightforwardly applying current intentionalist strategies to the realm of the contemporary visual arts. I first present a detailed account of the difference between hypothetical intentionalism and moderate actual intentionalism which will help to better understand the nature of Maes’s arguments in (...) his paper. I then argue that the characteristics which shape the approach of moderate actual intentionalism cannot be accommodated by certain contemporary visual artworks. I will demonstrate how in certain contemporary artworks, should a viewer be interested in accepting actual intentions within her interpretation, she will have to do so with an extreme intentionalist posture rather than a moderate actual one. (shrink)

Les stratégies de Bayle et de Hume devant la question de l’athéisme sont bien plus proches qu'on ne le croit généralement. Cet accord découle de l’influence constante que Bayle exerça sur Hume. Pour Bayle et pour Hume, l’athéisme et le scepticisme sont très étroitement liés – celui-là n’est qu’une forme du celui-ci. La force des Dialogues sur la religion naturelle de Hume ressort précisément de cette alliance entre athéisme et scepticisme qui, puisant la plupart de ses arguments chez Bayle, aboutit (...) à une critique de la théologie fondée sur une analyse sans concession des fondements épistémologiques de la croyance, tout en se gardant, comme le Straton de Bayle, de réduire l’athéisme à un dogmatisme métaphysique abstrait. (shrink)

We argue that legal argumentation, as the subject matter as well as a special subfield of Argumentation Studies (AS), has to be examined by making skilled use of the full panoply of tools such as argumentation and story schemes which are at the forefront of current work in AS. In reviewing the literature, we make explicit our own methodological choices (particularly regarding the place of normative deliberation in practical reasoning) and then illustrate the implications of such an approach through the (...) analysis of a case study in the English law of evidence. We argue that a clear distinction must be drawn between practical argumentation and stories. Because of the institutional separation between legal judgment and fact-finding in common-law jury trials, we argue for the combination of argument and story-based analysis. (shrink)

In this dissertation we explore projective Fraïssé theory and its applications, as well as limitations, to the study of compact metrizable spaces. The goal of projective Fraïssé theory is to approximate spaces via classes of finite structures and glean topological or dynamical properties of a space by relating them to combinatorial features of the associated class of structures. Using the framework of compact metrixable structures, we establish general results which expand and help contextualize previous works in the field. Many proofs (...) in the domain of projective Fraïssé theory are carried out in a context dependent fashion and have thus far eluded clean generalizations. A reason is to be found in the lack of a clear understanding of which spaces are amenable to be studied via projective Fraïssé limits. We give both positive and negative results in this direction. We isolate a combinatorial condition which entails a correspondence between finite structures and regular quasi-partitions of compact metrizable spaces. This correspondence greatly aids the combinatorial-toplogical translation. We apply this machinery to study a class of one-dimensional compact metrizable spaces, which we call smooth fences. To this end, we isolate a class of finite structures—finite partial orders whose Hasse diagram is a forest—whose projective Fraïssé limit approximates a distinctive smooth fence with remarkable properties. We call it the Fraïssé fence and characterize it topologically by carefully exploiting the bridge between the combinatorial and topological worlds. We explore homogeneity and universality features of the Fraïssé fence and the properties of its spaces and endpoints, and provide some results on the dynamics of its group of homeomorphisms. The dissertation is partially based on [1, 2]. (shrink)

This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience (...) and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers. (shrink)