Some philosophers find the following thesis attractive: for every logical constant C there is a set of logical rules of inference R such that a subject knows the meaning of C if and only if she accepts the rules in R. I point out some obvious but, apparently, easily forgotten difficulties concerning this thesis.

Some philosophers find the following thesis attractive: for every logical constant C there is a set of logical rules of inference R such that a subject knows the meaning of C if and only if she accepts the rules in R. I point out some obvious but, apparently, easily forgotten difficulties concerning this thesis.

Alcuni anni or sono, poco dopo l’uscita dell’edizione italiana di Lexical Competence, mi è capitato di pubblicare un breve articolo in cui analizzavo e criticavo certe tesi sostenute da Diego Marconi nel suo libro. L’articolo era seguito, nello stesso numero della rivista, da una risposta di Marconi alla quale non ho mai replicato. La presente nota vuole essere, più che una replica tardiva, una riconsiderazione complessiva di quella discussione. La strategia argomentativa che avevo adottato a...

Let $\langle\mathscr{T},\leq\rangle$ be the usual structure of the degrees of unsolvability and $\langle\mathscr{D},\leq\rangle$ the structure of the T-degrees of partial functions defined in [7]. We prove that every countable distributive lattice with a least element can be isomorphically embedded as an initial segment of $\langle\mathscr{D},\leq\rangle$ : as a corollary, the first order theory of $\langle\mathscr{D},\leq\rangle$ is recursively isomorphic to that of $\langle\mathscr{T},\leq\rangle$ . We also show that $\langle\mathscr{D},\leq\rangle$ and $\langle\mathscr{T},\leq\rangle$ are not elementarily equivalent.

A good reason to have a language containing a truth-predicate is that it makes it possible to formulate 'truthfulness attributions' and that truthfulness attributions are of great help in the transmission of true beliefs, the latter being, of course, a desirable end in itself. I argue that, given a language and a conceptual system more or less like ours, truthfulness attributions cannot be effectively replaced by other kinds of statements.

We propose an analysis ofonly in terms of event semantics. This approach allows a unified treatment of a wide range of cases in whichonly is associated with focused expressions of different categories. Section 1 is devoted to a preliminary discussion of some problems that a good analysis ofonly should solve. In section 2 we concentrate on sentences in which the focused expression is a NP. In section 3 we show how our analysis can be extended to other categories. Finally, section (...) 4 contains some remarks on related topics, such as scalarity and exhaustiveness. (shrink)

Most philosophers who had the opportunity to meet Paolo Casalegno (1952-2009) have been impressed by his sharp acumen, his passion for discussing philosophy and his human and intellectual generosity. I had the chance more than others to appreciate his qualities and benefit from them: we worked in the same university in Milan for many years and we had many occasions to discuss philosophy and other non-philosophical topics. I owe a debt of gratitude to him and, together with Paolo’s (...) friends and colleagues, I look for opportunities to remember his work and to continue to discuss it. One of them is the conference 'Good Points. Paolo Casalegno’s criticisms of some analytic philosophers' held in Milan in April 2011; the present special issue of dialectica collects the contributions on Paolo’s work presented on this occasion together with the reviews of two books published posthumously. (shrink)

In response to Paul Boghossian's objections in ‘Inferentialism and the epistemology of logic’, this paper defends counterexamples offered by Paolo Casalegno and the author to an inferentialist account of what it is to understand a logical constant, on which Boghossian had relied in his explanation of our entitlement to reason according to basic logical principles. The importance for understanding is stressed of non-inferential aspects of the use of logical constants. Boghossian's criteria for individuating concepts are also queried.

In Crispin Wright's ‘Meaning and Assertibility’, the main point of disagreement with Paolo Casalegno's critique of verificationist semantics in ‘The Problem of Non-conclusiveness’ concerns Wright's diagnosis of one of Casalegno's arguments as depending on an over-estimation of the proper explanatory task of a semantic theory. The present note argues that there is no such dependence.

This essay attempts to clarify the project of explaining the possibility of ‘blind reasoning’—namely, of basic logical inferences to which we are entitled without our having an explicit justification for them. The role played by inferentialism in this project is examined and objections made to inferentialism by Paolo Casalegno and Timothy Williamson are answered. Casalegno proposes a recipe for formulating a counterexample to any proposed constitutive inferential role by imaging a subject who understands the logical constant in question but (...) fails to have the capacity to make the inference in question; Williamson’s recipe turns on imagining an expert who continues to understand the constant in question while having developed sophisticated considerations for refusing to make it. It’s argued that neither recipe succeeds. (shrink)

In Multi Agent Systems it is often the case that individual preferences are not compatible and coalitions compete to achieve a given result. The paper presents a language to talk about the conflict between coalitional choices and it expresses deontic notions to evaluate them. We will be specifically concerned with cases where the collective perspective is at odds with the individual perspective.

The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmatic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with (...) the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics. (shrink)

From Brouwer To Hilbert: The Debate on the Foundations of Mathematics in the 1920s offers the first comprehensive introduction to the most exciting period in the foundation of mathematics in the twentieth century. The 1920s witnessed the seminal foundational work of Hilbert and Bernays in proof theory, Brouwer's refinement of intuitionistic mathematics, and Weyl's predicativist approach to the foundations of analysis. This impressive collection makes available the first English translations of twenty-five central articles by these important contributors and many others. (...) The articles have been translated for the first time from Dutch, French, and German, and the volume is divided into four sections devoted to (1) Brouwer, (2) Weyl, (3) Bernays and Hilbert, and (4) the emergence of intuitionistic logic. Each section opens with an introduction which provides the necessary historical and technical context for understanding the articles. Although most contemporary work in this field takes its start from the groundbreaking contributions of these major figures, a good, scholarly introduction to the area was not available until now. Unique and accessible, From Brouwer To Hilbert will serve as an ideal text for undergraduate and graduate courses in the philosophy of mathematics, and will also be an invaluable resource for philosophers, mathematicians, and interested non-specialists. (shrink)

The study of evil and the different forms in which it manifests itself has long been the interest of a significant number of scholars, mainly philosophers and theologians. Yet, following the libera...

This article introduces a novel theoretical framework for addressing epistemic injustice—a phenomenon where certain groups or individuals are systematically excluded from knowledge creation and dissemination processes—by employing ontological relativity and conceptual analysis. “Ontological relativity” refers to a philosophical perspective that posits our understanding of reality as being shaped by our toolbox of concepts, categories, language, and social practices; “conceptual analysis” is a method of inquiry that involves the rigorous examination and deconstruction of a particular concept or set of concepts in (...) order to uncover their constituent elements, relationships, and underlying assumptions. To exemplify the effectiveness of the ontology‐based approach, two paradigmatic applications are explored: (a) educational practices and (b) clinical practice and access to health care. Through the presentation of these applications and the step‐by‐step illustration of the applied methodology, the aim of the article is to showcase the efficacy of ontology in tackling epistemic injustices, suggesting innovative paths for future research in this domain. (shrink)

Can taxation and the redistribution of wealth through the welfare state be conceived as a modern system of circulation of the gift? But once such a gift is institutionalized, regulated and sanctioned through legal mechanisms, does it not risk being perverted or corrupted, and/or not leaving room for genuinely altruistic motives? What is more: if the market’s utilitarian logic can corrupt or ‘crowd out’ altruistic feelings or motivations, what makes us think that the welfare state cannot also be a source (...) of corruption? To explain the standard answers to the abovementioned questions as well as their implications I will first re-examine two opposing positions assumed here as paradigmatic examples of other similar positions: on the one hand, Titmuss’s work and the never-ending debate about it; on the other, Godbout’s position, in-so-far as it shows how Titmuss’s arguments can easily be turned upside down. I will then introduce and reinterpret Einaudi’s “critical point” theory as a more complex and richer anthropological explanation of the problems and answers considered herein. Through the analysis of these paradigmatic positions I will develop two interrelated arguments. 1) The way these problems are posed as well as the standard answers to them are: a) subject to fallacies: the dichotomy fallacy and the fallacy of composition; b) too reductive and simplistic: we should at least try to clarify what kind of ‘gift’ or ‘corruption’ we are thinking about, and who or what the ‘giver’, the ‘corrupter’, the ‘receiver’ and/or the ‘corrupted’ party are. 2) The answers to these problems cannot be found by merely following a theoretical approach, nor can they be merely based on empirical evidence; instead, they need to take into account the forever troublesome, ambiguous and unpredictable matter of human freedom. (shrink)

On an influential line of thinking tracing back to Ramsey, conditionals are closely linked to the attitude of supposition. When applied to counterfactuals, this view suggests a subjunctive version of the so-called Ramsey test: the probability of a counterfactual If A, would B ought to be equivalent to the probability of B, under the subjunctive supposition that A. I present a collapse result for any view that endorses the subjunctive version of the Ramsey test. Starting from plausible assumptions, the result (...) shows that one’s rational credence in a would-counterfactual and in the corresponding might-counterfactual have to be identical. (shrink)

An algebraization of the notion of topology has been proposed more than 70 years ago in a classical paper by McKinsey and Tarski, leading to an area of research still active today, with connections to algebra, geometry, logic and many applications, in particular, to modal logics. In McKinsey and Tarski’s setting the model theoretical notion of homomorphism does not correspond to the notion of continuity. We notice that the two notions correspond if instead we consider a preorder relation \( \sqsubseteq (...) \) defined by \(a \sqsubseteq b\) if _a_ is contained in the topological closure of _b_, for _a_, _b_ subsets of some topological space. A _specialization poset_ is a partially ordered set endowed with a further coarser preorder relation \( \sqsubseteq \). We show that every specialization poset can be embedded in the specialization poset naturally associated to some topological space, where the order relation corresponds to set-theoretical inclusion. Specialization semilattices are defined in an analogous way and the corresponding embedding theorem is proved. Specialization semilattices have the amalgamation property. Some basic topological facts and notions are recovered in this apparently very weak setting. The interest of these structures arises from the fact that they also occur in many rather disparate contexts, even far removed from topology. (shrink)

The publication of Guido Calabresi’s book “The Future of Law and Economics” has drawn a substantial amount of attention among law and economics scholars. We thought that the best way to devote special attention to this book was to devote a Special issue to it. This article situates Calabresi’s book among other reflections on the future of the discipline, introduces and explains the reasons behind this Special issue and discuss the organization and content of it. -/- We emphasize how Calabresi’s (...) historical-conceptual standpoint allows him to isolate the stakes of different future developments around the question of how could further appreciation of legal institutions that defy the standard economic assumptions help the field develop theoretically. Overall, the contributors all shared Calabresi’s attempt to restore the balance between Law and Economics and the need to better account for the “whole unanalysed experience of human race”, often neglected by the Economic Analysis of Law approach. Most disagreements are about the ‘how’. In any case, the search for the Law and Economics ‘not (yet) taken’ or for other “Law and … ” approaches is always open to the Future. (shrink)

This introduction explains the reasons behind this Special issue and discuss the organization and content of it. The difficulty of a genuine dialogue and understanding between economics, law and humanities, seems to be due not only to the fragmentation of reflections on man, but to a real ‘conflict of anthropologies’. What kind of conceptions of man and human values are presupposed by and / or privileged by economics, law, economic approaches to law and social sciences? How and when do these (...) conceptions come into conflict within and between disciplines? How do these conceptions of man and his values influence the conceptions of economics, law and institutions, and vice versa, how do these last conceptions influence the former? What are the normative, regulatory and practical implications of assuming an anthropological and / or axiological perspective instead of another? This Special issue aims at exploring the possibility of finding a common ground for discussion between economics, law and humanities, through the analysis and comparison of both the conceptions of man, human action and values assumed by economics, law and humanities, and their normative implications. The contributions to this Special issue and its organization are outlined at the end of this introduction. (shrink)

The paper aims to address the following two questions: what kind of discourse is that which attempt to found or defend the autonomy or the boundaries of a discipline? Why do such discourses tend to turn into normative, dogmatic-excommunicating discourses between disciplines, schools or scholars? I will argue that an adequate answer may be found if we conceive disciplines as dogmatics, where such discourses often take the form of a discourse on the foundation of a discipline, a foundation in the (...) name of which the scholar speaks and with which he/she entertains an identity relationship. To this purpose I will re-examine the methodological discourses of (and debates between) Pareto, Croce and Einaudi on the demarcation issue between philosophy, economics and value-judgments as highly instructive to understand such issues. (shrink)

Bringing together contributors from philosophy, international relations, security studies, and strategic studies, New Wars and New Soldiers offers a truly interdisciplinary analysis reflective of the nature of modern warfare. This comprehensive approach allows the reader to see the broad scope of modern military ethics, and to understand the numerous questions about modern conflict that require critical scrutiny. Aimed at both military and academic audiences, this paperback will be of significant interest to researchers and students in philosophy, sociology, military and strategic (...) studies, international relations, politics, and security studies, acting as an ideal course text or as supplementary reading. (shrink)

Suppose that you're certain that a certain sentence, e.g. "Frida is tall", lacks a determinate truth value. What cognitive attitude should you take towards it—reject it, suspend judgment, or what else? We show that, by adopting a seemingly plausible principle connecting credence in A and Determinately A, we can prove a very implausible answer to this question: i.e., all indeterminate claims should be assigned credence zero. The result is striking similar to so-called triviality results in the literature on modals and (...) conditionals. (shrink)

The rise of XVIIthcentury natural philosophy determines a significant break with the tradition and enthe idea of a new beginning of scientific investigation grounded on mathematics and experiment; at the same time, the diffusion of printed books represents an essential factor for the dissemination of the new philosophy. The ideal of the book, as an expression for this new philosophy, results from the speculation about the correspondence between the language and structure of the philosophical book and the “book of nature” (...) written by God. At the same time, the pursuit of this ideal requires the critical knowledge of the book tradition and the awareness of the imperfection that characterizes any given accomplishment of the ideal. This inner tension finds an exemplary solution in Newton’s Principia mathematica, where the incompleteness of the book of natural philosophy is recognized as an intrinsic feature, which directs Newton’s own selection and ordering of the material in the process of editing his work. After Newton, several attempts have been made to recover the systematic unity of natural philosophy in a single book, in a system of books or in encyclopaedies. In late XIXthcentury, as the specialization and multiplication of scientific disciplines establishes the impossibility to master natural philosophy as a whole, the intrinsic historicity of natural philosophy is recognized as a crucial factor of scientific thought itself. This significant change of perspective, compared to early modern philosophy, produces the need for different ways of understanding the unity of science and the role of books in scientific practice. Nowadays several distinguished scholars in the history and philosophy of science underscore the need to restore the historical awareness of late XIXth-early XXthcentury science among scientists, in order to promote the development of new scientific ideas. (shrink)