Free logics is a family of first-order logics which came about as a result of examining the existence assumptions of classical logic. What those assumptions are varies, but the central ones are that the domain of interpretation is not empty, every name denotes exactly one object in the domain and the quantifiers have existential import. Free logics usually reject the claim that names need to denote in, and of the systems considered in this paper, the positive free logic concedes that (...) some atomic formulas containing non-denoting names are true, while negative free logic rejects even the latter claim. Inclusive logics, which reject, are likewise considered. These logics have complex and varied axiomatizations and semantics, and the goal of this paper is to present an orderly examination of the various systems and their mutual relations. This is done by first offering a formalization, using sequent calculi which possess all the desired structural properties of a good proof system, including admissibility of contraction and cut, while streamlining free logics in a way no other approach has. We then present a simple and unified system of abstract semantics, which allows for a straightforward demonstration of the meta-theoretical properties, and offers insights into the relationship between different logics. The final part of this paper is dedicated to extending the system with modalities by using a labeled sequent calculus, and here we are again able to map out the different approaches and their mutual relations using the same framework. (shrink)

The Quantified argument calculus (Quarc) has received a lot of attention recently as an interesting system of quantified logic which eschews the use of variables and unrestricted quantification, but nonetheless achieves results similar to the Predicate calculus (PC) by employing quantifiers applied directly to predicates instead. Despite this noted similarity, the issue of the relationship between Quarc and PC has so far not been definitively resolved. We address this question in the present paper, and then expand upon that result. Utilizing (...) recent developments in structural proof theory, we develop a G3-style sequent calculus for Quarc and briefly demonstrate its structural properties. We put these properties to use immediately to construct direct proofs of the meta-theoretical properties of the system. We then incorporate an abstract (and, as we shall see, logical) predicate into the system in a way that preserves all the structural properties. This allows us to identify a system of Quarc which is deductively equivalent to PC, and also yields a constructive method of demonstrating the Craig interpolation theorem (which speaks in favor of the aforementioned predicate being logical). We further generalize this extension to develop a bivalent system of Quarc with defining clauses that still maintains all the desirable properties of a good proof system. (shrink)

The teachings of Islam and the Indonesian constitution clearly prohibit interfaith marriage. However, some Muslim communities in North Sulawesi as a minority group have entered into interfaith marriages. Therefore, this study aims to analyze the phenomenon of interreligious marriage in North Sulawesi and the achievement of minority fiqh objectives in interfaith families. This research is a field research that uses qualitative methods with a phenomenological approach. Data collection was conducted through interviews with informants consisting of 5 interfaith marriage actors, 1 (...) village official, and 1 religious leader. The results showed that the main motivation for interfaith couples to marry is mutual love. They also tend to get support from their respective extended families so that the marriage runs relatively smoothly and safely. The objectives of minority fiqh are achieved in interfaith marriages in the multicultural society of North Sulawesi. Minority fiqh can be an approach in interfaith marriages in multicultural societies where Muslims are a minority, without losing their Islamic essence, it is based on the fiqh rule that changes in law can occur due to changes in times and places. Minority jurisprudence can be an alternative basis for the sustainability of interfaith families in North Sulawesi that are able to maintain their Islamic identity while still respecting their partner's beliefs. (shrink)

In the past centuries, most Muslims have encountered modern science as a Western import. To avoid being overwhelmed by the military and commercial advantages enjoyed by technologically advanced nations, Middle Eastern Muslim societies had to begin adopting modern knowledge. As westernization started to shape social structures and institutions as well as technologies, conservative Muslim responses to modern science typically became conditioned by the demands of cultural defense. Many Muslim thinkers argued that upholding the religious character of Muslim civilization meant borrowing (...) technology but rejecting the perceived materialism pervading the conceptual frameworks of modern science. This defensive approach remains prominent in present Muslim thinking about science. Almost all religiously oriented Muslim thinkers take harmony between science and Islam for granted, but in practice, conservative Muslims often express deep reservations about the naturalistic perspectives dominating modern science. Especially in the popular literature, religiously motivated distortions of science are common. Darwinian evolution is a particular target of rejection. (shrink)

On Islamic doctrine, teachings and its practice.

The article describes and analyzes the basic principles and approaches of using the project methodology in teaching spoken English to students. The analysis has identified the basic provisions of the fundamental principles and approaches on which the process of developing a project methodology for teaching students' conversational speech is based.

All of the major themes of Edmund Husserl's phenomenology, from the Logical Investigations to The Crisis of the European Sciences, are investigated from a critical point of view by James M. Edie. The philosophy of logic is considered insofar as it relates to the phenomenological and transcendental foundation of logic itself. Transcendental logic is studied with reference to both the formal logic of Aristotle and Leibniz and the dialectical logic of Hegel. Edie considers Husserl's theories of meaning and (...) reference, intentionality, the distinction between perceptual and eidetic intuition, the notion of the ideality of meaning, the laws of objectivity in general, and formal and material ontology, as well as Husserl's reinterpretation of the apriori. (shrink)

This note is a generalization and improved interpretation of the main result of Karni and Schmeidler. A decision-maker is supposed to possess a preference relation on acts and another preference relation on state-prize lotteries, both of which are assumed to satisfy the von Neumann–Morgenstern axioms. In addition, the two preference relations restricted to a state of nature are assumed to agree. We show that these axioms are necessary and sufficient for the existence of subjective expected utility over acts with state-dependent (...) utility functions and a subjective probability measure. This subjective probability measure is unique when conditioned on the set of states of nature in which not all the prizes are equally desirable. (shrink)

This article investigates the proof theory of the Quantified Argument Calculus as developed and systematically studied by Hanoch Ben-Yami [3, 4]. Ben-Yami makes use of natural deduction, we, however, have chosen a sequent calculus presentation, which allows for the proofs of a multitude of significant meta-theoretic results with minor modifications to the Gentzen’s original framework, i.e., LK. As will be made clear in course of the article LK-Quarc will enjoy cut elimination and its corollaries.

This is a study of all the recent literature on william james written from a phenomenological perspective with the purpose of showing that william james made fundamental contributions to the phenomenological theory of the intentionality of consciousness, To the phenomenological theory of self-Identity, And to the phenomenological conception of noetic freedom as the basic concept of ethical theory.

Provides an overview of the complex history of the secular tradition of science and its interactions with religions and spiritual traditions.

RESUMO De acordo com Bakhtin, o dialogismo polifônico, um princípio geral para que haja um avanço de conhecimento, é bem representado no romance literário e mais comumente em narrativas, nas quais diferentes “vozes” podem ser expressas. Assim, neste artigo analisamos narrativas baseadas em imagens e construídas por trinta crianças, entre 5 e 8 anos de idade, falantes de francês, narrativas essas produzidas antes e depois de uma conversa sobre as causas dos eventos. As análises tiveram como foco a habilidade das (...) crianças de fazer diferentes vozes serem ouvidas, particularmente as vozes dos personagens, as quais as crianças fizeram ser ouvidas não apenas por meio do discurso direto e indireto, mas também por meio de expressões dos seus estados interiores, como crenças, intenções e sentimentos. Os resultados mostram tanto um desenvolvimento da habilidade das crianças de fazer com que essas vozes sejam ouvidas em suas narrativas, quanto um papel facilitador da troca conversacional em suas expressões. Argumentamos que esses resultados dão suporte para se considerar o lugar central que o diálogo ocupa no panorama geral da abordagem bakhtiniana. (shrink)

Background: Microbiome biomarker discovery for patient diagnosis, prognosis, and risk evaluation is attracting broad interest. Selected groups of microbial features provide signatures that characterize host disease states such as cancer or cardio-metabolic diseases. Yet, the current predictive models stemming from machine learning still behave as black boxes and seldom generalize well. Their interpretation is challenging for physicians and biologists, which makes them difficult to trust and use routinely in the physician-patient decision-making process. Novel methods that provide interpretability and biological insight (...) are needed. Here, we introduce "predomics", an original machine learning approach inspired by microbial ecosystem interactions that is tailored for metagenomics data. It discovers accurate predictive signatures and provides unprecedented interpretability. The decision provided by the predictive model is based on a simple, yet powerful score computed by adding, subtracting, or dividing cumulative abundance of microbiome measurements. -/- Results: Tested on >100 datasets, we demonstrate that predomics models are simple and highly interpretable. Even with such simplicity, they are at least as accurate as state-of-the-art methods. The family of best models, discovered during the learning process, offers the ability to distil biological information and to decipher the predictability signatures of the studied condition. In a proof-of-concept experiment, we successfully predicted body corpulence and metabolic improvement after bariatric surgery using pre-surgery microbiome data. -/- Conclusions: Predomics is a new algorithm that helps in providing reliable and trustworthy diagnostic decisions in the microbiome field. Predomics is in accord with societal and legal requirements that plead for an explainable artificial intelligence approach in the medical field. (shrink)

In the presence of incomplete risk attitudes, choices between noncomparable risky prospects are random. A random choice model advanced by Karni, 2021) includes the hypothesis that choices among noncomparable risky prospects are prompted by signals drawn from personal distributions. This paper introduces a scheme designed to elicit subjects’ assessments of their personal likelihoods of choices among noncomparable risky prospects and describes experiments designed to test the aforementioned hypothesis.

The topic of this paper is Timothy Williamson’s understanding of the logical form of thought experiments as involving counterfactual conditionals which are true when their antecedent is impossible. At the same time, he sees the ability to handle counterfactuals as grounded in our everyday capacities. The aim of this paper is to drive a wedge, on empirical grounds, between our ordinary capacities and the counterfactuals which require an impossible antecedent.

This paper introduces a logic game which can be used to demonstrate the working of Boolean connectives. The simplicity of the system turns out to lead to some interesting meta-theoretical properties, which themselves carry a philosophical import. After introducing the system, we demonstrate an interesting feature of it—that it, while being an accurate model of propositional logic Booleans, does not contain any tautologies nor contradictions. This result allows us to make explicit a limitation of application of propositional logic to those (...) sentences with relatively stable truth values. (shrink)

Background: Food biofortification practices in agricultural sectors involve the process of employing biotechnology to enhance the nutritional content of crops during their growth process. Biofortification makes foods even more nutritious and highly functional for addressing malnutrition among children. These practices in farming industries need guidance and legal support from various national policies to support high-quality supplies of school meals fully. Aim: This study aims to analyze the association between various national policies and the implementation of food biofortification practices in agricultural (...) sectors among countries implementing school meal programs. Methods: The Bayesian Mindsponge Framework, combining the reasoning strengths of Mindsponge Theory and inference advantages of Bayesian analysis, was employed on a dataset of 126 government representatives who manage large-scale school meal programs in 126 different countries. Results: Findings showed that food safety policy was positively associated with food biofortification practices in agricultural sectors among countries implementing school meal programs. In contrast, nutrition policy had a significant negative association with these practices. Additionally, policies of school feeding, health, agriculture, and the private sector had unclear associations with food biofortification. Conclusions: Findings underscore the strong position of food safety policy in guiding food biofortification practices in agricultural sectors among countries implementing school meal programs. There is a need to re-assess the implemented nutrition policy due to its significant negative association with these practices. Enhancing and strengthening the policies of school feeding, health, agriculture, and the private sector may increase their potencies in giving positive impacts on food biofortification practices in agricultural sectors to ensure high-quality school meal supplies. (shrink)

While concern about public irrationality and antiscientific movements is not new, the increasing power of right-wing populist movements that promote distrust of expertise and of scientific institutions gives such concerns a new context. Experience with classic pseudosciences such as creationism, and the long-running efforts by defenders of science to oppose such pseudosciences, may also help us understand today’s post-truth populism. The politics of creationism and science education in the United States and in Turkey does not, however, suggest easy answers. Moreover, (...) there are important features of politics in liberal democracies that drive a populist backlash, which makes it counterproductive for defenders of science to call for deference to all forms of expertise claimed by professionals. There is a danger that the rhetoric of reason that is used to defend science will become part of a more general apologetics for an unsustainable status quo. (shrink)

Gödel's Theorem is often used in arguments against machine intelligence, suggesting humans are not bound by the rules of any formal system. However, Gödelian arguments can be used to support AI, provided we extend our notion of computation to include devices incorporating random number generators. A complete description scheme can be given for integer functions, by which nonalgorithmic functions are shown to be partly random. Not being restricted to algorithms can be accounted for by the availability of an arbitrary random (...) function. Humans, then, might not be rule-bound, but Gödelian arguments also suggest how the relevant sort of nonalgorithmicity may be trivially made available to machines. (shrink)