There is wide support in logic, philosophy, and psychology for the hypothesis that the probability of the indicative conditional of natural language, P(if A then B), is the conditional probability of B given A, P(B|A). We identify a conditional which is such that P(if A then B)=P(B|A) with de Finetti's conditional event, B|A. An objection to making this identification in the past was that it appeared unclear how to form compounds and iterations of conditional events. In this paper, we illustrate (...) how to overcome this objection with a probabilistic analysis, based on coherence, of these compounds and iterations. We interpret the compounds and iterations as conditional random quantities which, given some logical dependencies, may reduce to conditional events. We show how the inference to B|A from A and B can be extended to compounds and iterations of both conditional events and biconditional events. Moreover, we determine the respective uncertainty propagation rules. Finally, we make some comments on extending our analysis to counterfactuals. (shrink)

Modus ponens (from A and “if A then C” infer C) is one of the most basic inference rules. The probabilistic modus ponens allows for managing uncertainty by transmitting assigned uncertainties from the premises to the conclusion (i.e., from P(A) and P(C|A) infer P(C)). In this paper, we generalize the probabilistic modus ponens by replacing A by the conditional event A|H. The resulting inference rule involves iterated conditionals (formalized by conditional random quantities) and propagates previsions from the premises to the (...) conclusion. Interestingly, the propagation rules for the lower and the upper bounds on the conclusion of the generalized probabilistic modus ponens coincide with the respective bounds on the conclusion for the (non-nested) probabilistic modus ponens. (shrink)

This paper proposes a critical analysis of that interpretation of the Nāgārjunian doctrine of the two truths as summarized—by both Mark Siderits and Jay L. Garfield—in the formula: “the ultimate truth is that there is no ultimate truth”. This ‘semantic reading’ of Nāgārjuna’s theory, despite its importance as a criticism of the ‘metaphysical interpretations’, would in itself be defective and improbable. Indeed, firstly, semantic interpretation presents a formal defect: it fails to clearly and explicitly express that which it contains logically; (...) the previously mentioned formula must necessarily be completed by: “the conventional truth is that nothing is conventional truth”. Secondly, after having recognized what Siderits’ and Garfield’s analyses contain implicitly, other logical and philological defects in their position emerge: the existence of the ‘conventional’ would appear—despite the efforts of semantic interpreters to demonstrate quite the contrary—definitively inconceivable without the presupposition of something ‘real’; moreover, the number of verses in Nāgārjuna that are in opposition to the semantic interpretation (even if we grant semantic interpreters that these verses do not justify a metaphysical reconstruction of Nagarjuna’s doctrine) would seem too great and significant to be ignored. (shrink)

This article considers the function and value of the mythos in Plato's Statesman. As first, I recall the context of the story and its function within the framework of diairetic inquiry about the definition of the real politician. Secondly, I point out that the formulation of the myth is based on a series of traditional stories to which a historical-reconstructive method is applied. I then highlight the ways of reasoning used by the characters in order to reconstruct a rational and (...) plausible account from the mythical tradition. Finally, I try to show that the story, even though it cannot reach the truth of the most stable objects of knowledge, displays a certain degree of plausibility, based on the internal coherence, on the respect of a series of principles admitted as true and, eventually, on its correspondence with the mythical tradition. (shrink)

Focused sequent calculi are a refinement of sequent calculi, where additional side-conditions on the applicability of inference rules force the implementation of a proof search strategy. Focused cut-free proofs exhibit a special normal form that is used for defining identity of sequent calculi proofs. We introduce a novel focused display calculus fD.LG and a fully polarized algebraic semantics FP.LG\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {FP.LG}$$\end{document} for Lambek–Grishin logic by generalizing the theory of multi-type calculi and their (...) algebraic semantics with heterogenous consequence relations. The calculus fD.LG has strong focalization and it is sound and complete w.r.t. FP.LG\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {FP.LG}$$\end{document}. This completeness result is in a sense stronger than completeness with respect to standard polarized algebraic semantics, insofar as we do not need to quotient over proofs with consecutive applications of shifts over the same formula. We also show a number of additional results. fD.LG is sound and complete w.r.t. LG-algebras: this amounts to a semantic proof of the so-called completeness of focusing, given that the standard (display) sequent calculus for Lambek–Grishin logic is complete w.r.t. LG-algebras. fD.LG and the focused calculus fLG of Moortgat and Moot are equivalent with respect to proofs, indeed there is an effective translation from fLG-derivations to fD.LG-derivations and vice versa: this provides the link with operational semantics, given that every fLG-derivation is in a Curry–Howard correspondence with a directional λ¯μμ~\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{\lambda }\mu \widetilde{\mu }$$\end{document}-term. (shrink)

In the present paper, we endow semi De Morgan logic and a family of its axiomatic extensions with proper multi-type display calculi which are sound, complete, conservative, and enjoy cut elimination and subformula property. Our proposal builds on an algebraic analysis of the variety of semi De Morgan algebras, and applies the guidelines of the multi-type methodology in the design of display calculi.

This paper proposes an interpretation of Nāgārjuna’s doctrine of the two truths that considers saṃvṛti and paramārtha-satya two visions of reality on which the Buddhas, for soteriological and pedagogical reasons, build teachings of two types: respectively in agreement with (for example, the teaching of the Four Noble Truths) or in contrast to (for example, the teaching of emptiness) the category of svabhāva. The early sections of the article show to what extent the various current interpretations of the Nāgārjunian doctrine of (...) the dve satye—despite their sometimes even macroscopic differences—have a common tendency to consider the notion of śūnyatā as a teaching not based on, but equivalent to supreme truth. This equivalence—philologically questionable—leads to interpretative paths that prove inevitably aporetic: indeed, according to whether the interpretation of śūnyatā is ‘metaphysical’ or ‘anti-metaphysical’, it gives rise to readings of Nāgārjuna’s thought incompatible, respectively, with anti-metaphysical and realistic types of verses traceable in the works of the author of the Mūla-madhyamaka-kārikā (MMK). On the contrary, by giving more emphasis to the expression samupāśritya (“based on”), which recurs in MMK.24.8, and therefore, by epistemologically separating the notion of śūnyatā from the notion of paramārtha-satya (and of some of its conceptual equivalents such as nirvāṇa, tattva and dharmatā), we may obtain an interpretation—at once realistic and anti-metaphysical—of the theory of the two truths compatible with the vast majority (or even totality) of Nāgārjuna’s verses. (shrink)

This paper supports the thesis that nihilistic interpretations of Madhyamaka philosophy derive from generally antirealistic and/or metaphysical approaches to Nāgārjuna’s thought. However, the arguments and many images by way of which the author of the Mūlamadhyamakakārikā and his Indian commentators defend themselves from the charge of nihilism show limits in these approaches, and rather confirm that Nāgārjuna’s philosophy should be read as a theoretical proposal that is at once realistic and antimetaphysical. The epistemology inherent to the soteriological dimension of the (...) Buddha’s teaching, of which Nāgārjuna presents himself as a faithful continuer, assesses on the one hand the accomplishment of a ‘cognitive revolution’ consisting in the achievement of a new vision of reality and on the other the avoidance of any metaphysical description of the same vision. Comprehension of the Madhyamaka philosophical enterprise through a realistic-antimetaphysical lens seems to hinder and prevent the possibility of any nihilistic interpretation of Nāgārjuna. (shrink)

This paper supports the thesis that nihilistic interpretations of Madhyamaka philosophy derive from generally antirealistic and/or metaphysical approaches to Nāgārjuna’s thought. However, the arguments and many images by way of which the author of the Mūlamadhyamakakārikā and his Indian commentators defend themselves from the charge of nihilism show limits in these approaches, and rather confirm that Nāgārjuna’s philosophy should be read as a theoretical proposal that is at once realistic and antimetaphysical. The epistemology inherent to the soteriological dimension of the (...) Buddha’s teaching, of which Nāgārjuna presents himself as a faithful continuer, assesses on the one hand the accomplishment of a ‘cognitive revolution’ consisting in the achievement of a new vision of reality and on the other the avoidance of any metaphysical description of the same vision. Comprehension of the Madhyamaka philosophical enterprise through a realistic-antimetaphysical lens seems to hinder and prevent the possibility of any nihilistic interpretation of Nāgārjuna. (shrink)

The paper addresses the epistemological and theoretical assumptions that underpin the concept of Work and Organizational Psychology as idiographic, situated, and transformative social science. Positioning the connection between uniqueness and generalization inside the debate around organization studies as applied approaches, the contribution highlights the ontological, gnoseological, and methodological implications at stake. The use of practical instead of scientific rationality is explored, through the perspective of a hermeneutic lens, underlining the main features connected to the adoption of an epistemology of practice. (...) Specifically, the contribution depicts the configuration of the applied research as a relational practice, embedded in the unfolding process of generating knowledge dealing with concrete social contexts and particular social objects. The discussion of a case study regarding a field research project allows one to point out challenges and constraints connected to the enactment of the research process as a social accomplishment. (shrink)

This article claims that the study of irregular migration may be a strategic research material for the development of an adequate understanding of contemporary society. The field, however, suffers not only from a lack of reliable empirical data, but also from endemic undertheorizing. The article shows how the attempt to develop an understanding of irregular migration from within a general theory of modern society has positive consequences both for the clarification of the problems and for the design of research programs (...) able to deal adequately with the phenomena. Particularly, it is argued that a theory of modern society centered on its form of differentiation may help to clarify both the political dimension of contemporary international mobility, the variety of irregular statuses existing in the foreign population of receiving countries, and the condition of inclusion and exclusion of irregular migrants. (shrink)

Some time ago I advanced on the pages of this journal a critique of the interpretation given by Jay L. Garfield and Mark Siderits (hereafter GS) of Nāgārjuna’s doctrine of the two truths (Ferraro, J Indian Philos 41(2):195–219, 2013.1); to my article the two authors responded with a ‘defense of the semantic interpretation’ of the Madhyamaka doctrine of emptiness (GS, J Indian Philos 41(6):655–664, 2013). Their reply, however, could not consider my personal understanding of Nāgārjuna’s notions of śūnyatā and dve (...) satye. My interpretation of these notions was in fact absent in the paper GS responded, and was only related in a second paper of mine (Ferraro, J Indian Philos 41(5):563–590, 2013.2), still unpublished at the time of GS’s drafting of their ‘defense’. Therefore, in the present rejoinder, I found it appropriate, rather than responding point by point to the passages of GS’s reply, to advance a comparison between the semantic interpretation and my ‘realist antimetaphysical’ understanding of Nāgārjuna’s thought. (shrink)

In the first part of this paper I critically examine some of the main interpretations of “classical” Yogācāra philosophy of Maitreya, Asaṅga and Vasubandhu. Among these interpretations, based on extant textual and contextual data, I consider philologically unlikely both metaphysical-idealistic readings, which ascribe to these authors the view that ultimate reality is a mental or subjective stuff, and epistemological-idealistic readings which advocate that either Yogācāra suspends judgment on the existence of the extramental or that it maintains that the extramental exists (...) in itself and ultimately. Instead, I consider more likely the thesis that classical Yogācāra upholds an epistemological idealism that, while admitting epistemological priority of the mental over the extramental, rules out the ultimate existence of both the former and the latter. This exclusion, however, does not amount to the exclusion of every metaphysics, but rather to the adoption of a metaphysics of emptiness conceived, in fact, as absence of the mental/extramental dichotomy. In the second part of the paper this reading of classical Yogācāra is compared with the interpretation of Nāgārjuna’s philosophy that I elsewhere called “realistic antimetaphysical”, and I reach the conclusion that, while with respect to epistemology between early Madhyamaka and classical Yogācāra there is continuity, regarding metaphysics these two schools are deeply distinct and discontinuous: while Nāgārjuna conceives of emptiness as an extinction of any metaphysical view, Yogācāra emptiness actually presents itself as a metaphysical point of view. (shrink)

A great deal of "epistemological" thought is dedicated to the question of the origin of the ideas that form our ordinary conception of reality.1 How do we obtain our view of the world as a whole composed of discrete substances, endowed with space-time extension, which are the substrata of specific qualities, linked to each other by different kinds of relation?This is a question that is certainly less problematic in contexts of thought that defend "pluralist" ontologies—where being is thought to amount (...) to a plurality of discrete and self-subsistent entities. There... (shrink)