This paper offers a probabilistic treatment of the conditions for argument cogency as endorsed in informal logic: acceptability, relevance, and sufficiency. Treating a natural language argument as a reason-claim-complex, our analysis identifies content features of defeasible argument on which the RSA conditions depend, namely: change in the commitment to the reason, the reason’s sensitivity and selectivity to the claim, one’s prior commitment to the claim, and the contextually determined thresholds of acceptability for reasons and for claims. Results contrast with, and (...) may indeed serve to correct, the informal understanding and applications of the RSA criteria concerning their conceptual dependence, their function as update-thresholds, and their status as obligatory rather than permissive norms, but also show how these formal and informal normative approachs can in fact align. (shrink)

In this study‎, ‎we introduce a‎ ‎type ‎of ‎neutrosophic ‎subset‎ concepts ‎such as‎ soft subrings‎, ‎soft subideals‎, ‎the residual quotient of soft subideals‎, ‎quotient rings of a ring by soft subideals‎, ‎soft subideals of soft subrings and investigate some of their properties and structured characteristics‎. ‎Also, we investigate them under homomorphisms and obtain some new ‎results. ‎Indeed, ‎the ‎relation ‎between ‎ ‎u‎ncertainty ‎and ‎semi-algebraic is presented and is analyzed ‎to ‎the ‎important ‎results ‎in ‎neutrosophic ‎subset ‎theory.‎‎‎.

Working within the broad lines of general consensus that mark out the core features of John Stuart Mill’s (1806–1873) logic, as set forth in his A System of Logic (1843–1872), this chapter provides an introduction to Mill’s logical theory by reviewing his position on the relationship between induction and deduction, and the role of general premises and principles in reasoning. Locating induction, understood as a kind of analogical reasoning from particulars to particulars, as the basic form of inference that is (...) both free-standing and the sole load-bearing structure in Mill’s logic, the foundations of Mill’s logical system are briefly inspected. Several naturalistic features are identified, including its subject matter, human reasoning, its empiricism, which requires that only particular, experiential claims can function as basic reasons, and its ultimate foundations in ‘spontaneous’ inference. The chapter concludes by comparing Mill’s naturalized logic to Russell’s (1907) regressive method for identifying the premises of mathematics. (shrink)

The paper considers contemporary models of presumption in terms of their ability to contribute to a working theory of presumption for argumentation. Beginning with the Whatelian model, we consider its contemporary developments and alternatives, as proposed by Sidgwick, Kauffeld, Cronkhite, Rescher, Walton, Freeman, Ullmann-Margalit, and Hansen. Based on these accounts, we present a picture of presumptions characterized by their nature, function, foundation and force. On our account, presumption is a modal status that is attached to a claim and has the (...) effect of shifting, in a dialogue, a burden of proof set at a local level. Presumptions can be analysed and evaluated inferentially as components of rule-based structures. Presumptions are defeasible, and the force of a presumption is a function of its normative foundation. This picture seeks to provide a framework to guide the development of specific theories of presumption. (shrink)

Relational Quantum Mechanics is an interpretation of quantum mechanics proposed by Carlo Rovelli. Rovelli argues that, in the same spirit as Einstein’s theory of relativity, physical quantities can only have definite values relative to an observer. Relational Quantum Mechanics is hereby able to offer a principled explanation of the problem of nested measurement, also known as Wigner’s friend. Since quantum states are taken to be relative states that depend on both the system and the observer, there is no inconsistency in (...) the descriptions of the observers. Federico Laudisa has recently argued, however, that Rovelli’s description of Wigner’s friend is ambiguous, because it does not take into account the correlation between the observer and the quantum system. He argues that if this correlation is taken into account, the problem with Wigner’s friend disappears and, therefore, a relativization of quantum states is not necessary. I will show that Laudisa’s criticism is not justified. To the extent that the correlation can be accurately reflected, the problem of Wigner’s friend remains. An interpretation of quantum mechanics that provides a solution to it, like Relational Quantum Mechanics, is therefore a welcome one. (shrink)

Previous research has shown that women are disproportionately negatively affected by a variety of socio-economic hardships, many of which COVID-19 is making worse. In particular, because of gender roles, and because women’s jobs tend to be given lower priority than men’s (since they are more likely to be part-time, lower-income, and less secure), women assume the obligations of increased caregiving needs at a much higher rate. This unfairly renders women especially susceptible to short- and long-term economic insecurity and decreases in (...) wellbeing. Single-parent households, the majority of which are headed by single mothers, face even greater risks. These vulnerabilities are further compounded along the dimensions of race, ethnicity, class, and geography. Drawing upon the philosophical literature on political responsibility and structural injustice (specifically, the work of Iris Marion Young), I argue that while the state may not have had either foresight into, or control over, the disproportionate effect the pandemic would have on women, it can nonetheless be held responsible for mitigating these effects. In order to do so, it must first recognize the ways in which women have been affected by the outbreak. Specifically, policies must take into account the unpaid labor of care that falls on women. Moreover, given that this labor is particularly vital during a global health pandemic, the state ought to immediately prioritize the value of this work by providing financial stimuli directly to families, requiring employers to provide both sick leave and parental leave for at least as long as schools and daycares are inoperational, and providing subsidized emergency childcare. (shrink)

One of the central tasks of a theory of argumentation is to supply a theory of appraisal: a set of standards and norms according to which argumentation, and the reasoning involved in it, is properly evaluated. In their most general form, these can be understood as rational norms, where the core idea of rationality is that we rightly respond to reasons by according the credence we attach to our doxastic and conversational commitments with the probative strength of the reasons we (...) have for them. Certain kinds of rational failings are so because they are manifestly illogical – for example, maintaining overtly contradictory commitments, violating deductive closure by refusing to accept the logical consequences of one’s present commitments, or failing to track basing relations by not updating one’s commitments in view of new, defeating information. Yet, according to the internal and empirical critiques, logic and probability theory fail to supply a fit set of norms for human reasoning and argument. Particularly, theories of bounded rationality have put pressure on argumentation theory to lower the normative standards of rationality for reasoners and arguers on the grounds that we are bounded, finite, and fallible agents incapable of meeting idealized standards. This paper explores the idea that argumentation, as a set of practices, together with the procedures and technologies of argumentation theory, is able to extend cognition such that we are better able to meet these idealized logical standards, thereby extending our responsibilities to adhere to idealized rational norms. (shrink)

Corroborative evidence can have a dual function in argument whereby not only does it have a primary function of providing direct evidence supporting the main conclusion, but it also has a secondary, bolstering function which increases the probative value of some other piece of evidence in the argument. It has been argued (Redmayne, 2000) that this double function gives rise to the fallacy of double counting whereby the probative weight of evidence is overvalued by counting it twice. Walton has proposed (...) several models of corroborative evidence, each of which seems to accept the fallaciousness of double counting thereby seeming to deny the dual function of corroborative evidence. Against this view, I argue that the bolstering effect is legitimate, and can be explained by recourse to inference to the best explanation. (shrink)

A problem for dialogue models of argumentation is to specify a set of conditions under which an opponent’s claims, offered in support of a standpoint under dispute, ought to be challenged. This project is related to the issue of providing a set of acceptability conditions for claims made in a dialogue. In this paper, we consider the conditions of suspicion and trust articulated by Jacobs (Alta, 2003), arguing that neither are acceptable as general conditions for challenge. We propose a third (...) condition that attempts to mark a middle ground between suspicion and trust. (shrink)

The Jinn, which is regarded as the third kind of entity apart from the angel and the human being, has been the subject matter of several separate works written by both Muslims and non-Muslims in the past and present. In short, such works deal with the nature of jinns and their characteristics, and they cover matters such as the beliefs about jinns in several religions and cultures and their relationship with human beings. Apart from the fact that the primary source (...) of Islam, namely, the Quran, has a separate chapter called al-Jinn (The Jinn) /72, it provides information about jinns in many verses in several other chapters. Traditions also provide plenty of information about jinns. One example of such information is on the question whether the Holy Prophet have met with jinns. A study of the traditions on this matter reveals the fact that there are ṣaḥīḥ (authentic) traditions that appear to be in conflict with each other and/or with some of the verses in the Quran. In this paper, we have analyzed and evaluated the relevant traditions in order to reconcile these contradictions, thus we aimed to clarify the matter. The question on whether the Holy Prophet met with jinns is often discussed within the context of narrations coming from Ibn al-Masʿūd and Ibn ʿAbbās. While the traditions coming from Ibn al-Masʿūd indicate that the Prophet met with jinns, a tradition narrated by Ibn ʿAbbās says the opposite. In the present work, we have analyzed the outwardly conflicting traditions narrated by both companions along with traditions narrated by other companions on this matter in the light of the chronology of the revelation of the Quran. As a result, we have concluded that the Holy Prophet have met with jinns as narrated by Ibn al-Masʿūd and that the report narrated by Ibn ʿAbbās was about the first years of Islam. (shrink)