I study definability and types in the linear fragment of continuous logic. Linear variants of several definability theorems such as Beth, Svenonus and Herbrand are proved. At the end, a partial study of the theories of probability algebras, probability algebras with an aperiodic automorphism and AL-spaces is given.

The ultraproduct construction is generalized to p‐ultramean constructions () by replacing ultrafilters with finitely additive measures. These constructions correspond to the linear fragments of continuous logic and are very close to the constructions in real analysis. A powermean variant of the Keisler‐Shelah isomorphism theorem is proved for. It is then proved that ‐sentences (and their approximations) are exactly those sentences of continuous logic which are preserved by such constructions. Some other applications are also given.

We develop a model theoretic framework for studying algebraic structures equipped with a measure. The real line is used as a value space and its usual arithmetical operations as connectives. Integration is used as a quantifier. We extend some basic results of pure model theory to this context and characterize measurable sets in terms of zero-sets of formulas.

We study the relations of being substructure and elementary substructure between Kripke models of intuitionistic predicate logic with the same arbitrary frame. We prove analogues of Tarski's test and Löwenheim-Skolem's theorems as determined by our definitions. The relations between corresponding worlds of two Kripke models [MATHEMATICAL SCRIPT CAPITAL K] ⪯ [MATHEMATICAL SCRIPT CAPITAL K]′ are studied.

Linear continuous logic is the fragment of continuous logic obtained by restricting connectives to addition and scalar multiplications. Most results in the full continuous logic have a counterpart in this fragment. In particular a linear form of the compactness theorem holds. We prove this variant and use it to deduce some basic preservation theorems.

The linear compactness theorem is a variant of the compactness theorem holding for linear formulas. We show that the linear fragment of continuous logic is maximal with respect to the linear compactness theorem and the linear elementary chain property. We also characterize linear formulas as those preserved by the ultramean construction.

We define an ultraproduct of metric structures based on a maximal probability charge and prove a variant of Łoś theorem for linear metric formulas. We also consider iterated ultraproducts.

We prove Robinson consistency theorem as well as Craig, Lyndon and Herbrand interpolation theorems in linear continuous logic.

A value space is a topological algebra equipped with a non-empty family of continuous quantifiers . We will describe first-order logic on the basis of . Operations of are used as connectives and its relations are used to define statements. We prove under some normality conditions on the value space that any theory in the new setting can be represented by a classical first-order theory.

In this paper, some basic properties of automorphisms of first order languages and some examples are presented. In particular, an omitting types theorem is proved.

I prove linear compactness and linear completeness for various forms of linear propositional logic where the value space is a module over a ring.

A quantified universe is a set M equipped with a Riesz space equation image of real functions on Mn, for each n, and a second order operation equation image. Metric structures 4, graded probability structures 9 and many other structures in analysis are examples of such universes. We define ultraproduct of quantified universes and study properties preserved by this construction. We then discuss logics defined on the basis of classes of quantified universes which are closed under this construction.

We study model theory of random variables using finitary integral logic. We prove definability of some probability concepts such as having F as distribution function, independence and martingale property. We then deduce Kolmogorov's existence theorem from the compactness theorem.

We prove an omitting types theorem and one direction of the related Ryll-Nardzewski theorem for semi-classical theories introduced in [2].

I focus on an overlooked aspect of the challenge of irrelevant influences. The challenge is often framed in terms of whether recognizing the presence of irrelevant factors in the pedigree of a belief provides a defeater. I argue that the epistemic significance of irrelevant factors goes beyond their status as defeaters. I focus on what I call gray cases, where learning about such factors causes epistemic worry without justifying giving up the belief. I argue that in gray cases, the subject (...) finds a commendatory epistemic practical reason to engage in an activity intended to assuage that epistemic worry. (shrink)

I present a puzzle regarding the norms of disagreement and inquiry. The puzzle mainly concerns a special type of peer disagreement that I call “mild disagreement”, in which the parties to the disagreement believe a proposition but with different degrees of confidence. The puzzle is best formulated as an inconsistent triad: (NJ1) The state of mild disagreement provides the involved parties with no epistemic reason to drop their belief regarding the disputed judgment. (NJ2) The state of mild disagreement provides a (...) practical reason for the involved parties to launch an inquiry into the disputed judgment. (NJ3) If the state of disagreement provides a reason to launch an inquiry into the disputed judgment, the involved parties have a reason to drop their belief regarding the disputed judgment. After discussing some possible responses to the puzzle, I offer my own solution, which involves introducing a new take on how to understand inquiry. This new take on the nature of inquiry can provide us with an alternative to the influential account recently defended by Jane Friedman. (shrink)

According to Burge, it is not possible to commit brute errors in the process of critical reasoning. This thesis lies at the heart of Burge’s influential theory of self-knowledge. By appealing to a version of the slow-switching argument, this paper contends that Burge’s view is not compatible with his commitment to externalism about mental content. In particular, it is argued that accepting externalism opens up the possibility of brute errors in the process of critical reasoning.

We prove some preservation theorems concerning inductive and model-complete theories in the framework of semi-classical logic introduced in [1].

In recent years, scientific misconduct has received significant attention within the scientific community. Plagiarism is the most frequent type of scientific misconduct and is defined as ‘unauthorised appropriation of another's work, ideas, methods, results or words without acknowledging the source and original author’.1 ,2 ….

Avicenna introduces the primary propositions as the most fundamental principles of knowledge. However, as far as we are aware, Avicenna’s primaries have not yet been independently studied. Nor do Avicenna scholars agree on how to characterize them in the language of contemporary philosophy. It is well-known that the primaries are indemonstrable; nonetheless, it is not clear what the genealogy of the primaries is, how, epistemologically speaking, they can be distinguished from other principles, what their phenomenology is, what the cause of (...) the assent to them is, how to explain the relationship between the ‘innate [nature] of the intellect’ and the primaries and, finally, back to their indemonstrability, in what sense they are ‘indemonstrable’. We will try to fill this gap. As a corollary, we will explain why Gutas’s view [Gutas, Dimitri.... (shrink)

Concept originalism, recently introduced and defended by Sainsbury and Tye, Tye, and Sainsbury, holds that “atomic concepts are to be individuated by their historical origins, as opposed to their semantic or epistemic properties”. The view is immune to Gareth Evans’s “Madagascar” objection to the Causal Theory of Reference since it allows a concept to change its reference over time without losing its identity. The possibility of reference-shift, however, raises the problem of misleading belief reports. S&T try to tackle the problem (...) by strengthening the sufficient condition for a truthful belief report. We will argue that, first, their solution fails, second, and more importantly, their diagnosis of the root of the problem is misguided, third, two initially appealing ways out of the problem fail, and fourth, the prospect of finding a solution to the problem within CO is dim. The view opens the Pandora’s box of reference-shift, in a wide range of cases, without providing the necessary semantic means to take care of them. (shrink)

Spiritual Intelligence (S-Intelligence) introduced to achieve higher levels of knowledge and applying hidden knowledge. This intelligence is various in different people. When people work together in a team or set, these diverse influence on their performance. Facilitate the application of spiritual capacities by using abilities of S- intelligence is important to increase productivity teamwork. For this purpose, we provided a model of communication for individuals with different S-intelligence in performing team tasks. First, with the basics S-intelligence analysis and interviews with (...) experts, S-intelligence was divided in five categories. Each person according to their S-Intelligence and the role that play in teamwork (individualist, thinkist and pragmatist) from this aspect that he/she can by what kind of S-intelligences and what kind of role, has an effective team relationship, has been measured. With the 690 questionnaires among individuals with experience in teamwork and group communication, we have addressed to the measurement of their communication model. After derivation the data by fuzzy logic, we analyzed and presented an effective model of teamwork based on S-intelligence. (shrink)

I will focus on the following question: “Is Avicenna[aut]Avicenna an empiricist?”. I will introduce Avicenna’sAvicenna language of “signification”, “understood content”, “mentalMental impression” and “conception”. Then, following Kenneth P. Winkler[aut]Winkler, K. ~ P., I will distinguish between origin-empiricism and content-empiricism Empiricism and reinterpret the distinction in Avicenna’sAvicenna language as OEA and CEA. I will show that Avicenna’sAvicenna analysis of the relationship between knowledge, on the one hand, and sensation and imagination, on the other hand, includes three empiricist themes. I use these (...) themes to argue that that Avicenna is committed to OEA. Then, I will consider three “possible” limitations to Avicenna’sAvicenna origin-empiricism. I will show that a common empiricist solution, that relies on the compositionality of the “understood contentContent”, quia demonstration and relative conceptions, has significant limitations. I will argue that a careful examination of these limitations, and the epistemology of the primary conceptions, show that Avicenna is not committed to CEA. I will conclude that “Is Avicenna[aut]Avicenna an empiricist?” has no simple yes-or-no answer. This raises a parallel open question: “Is Avicenna a rationalist?”, in some sense. After briefly commenting on this question, I will consider a related, but generally dissociated, question on the reality of abstraction, namely “Is Avicenna an abstractionist?” I will explain how the common replies to both questions rely on different incompatibility principles, according to which emanation from the active intellect is incompatible with apprehension by or abstraction from sense-perception. I will end by outlining the elements of a reading of Avicenna that assumes neither of these incompatibility principles. (shrink)

While there are numerous doubts, controversies and lack of consensus on alternative definitions of human death, it is argued that it is more ethical to allow people to choose either cessation of cardio-respiratory function or loss of entire brain function as the definition of death based on their own views. This paper presents the law of organ transplantation in Japan, which allows people to decide whether brain death can be used to determine their death in agreement with their family. Arguably, (...) Japan could become a unique example of individual choice in the definition of death if the law is revised to allow individuals choose definition of death independently of their family. It suggests that such an approach is one of the reasonable policy options a country can adopt for legislation on issues related to the definition of death. (shrink)

In social systems or spaces, distance between the centre and the periphery breeds epistemic injustice. There are growing accounts of epistemic injustice in health-related fields, as in the article by Pratt and de Vries.1 The title of the article asks: ‘Where is knowledge from the global South?’ Like me, you may answer by saying: ‘Knowledge from the global South is in the global South’. That answer says a lot about how we right epistemic injustice done to actors in the global (...) South or the periphery, including in health ethics. Pratt and de Vries identified four sets of actors (individuals, institutions, journals and funders) responsible for righting epistemic injustice. For three of the four sets of actors, they recognised the need for—or the possibility of—symmetry between global North and global South. Except journals. They did not seriously consider that journals are either present in or could belong to the global South; to the periphery. Platforms for knowledge exchange, circulation, cultivation and curation—such as journals, conferences, publishers, blogs, archives, seminars, books and the media, social or traditional—are neither physically nor epistemically neutral. They are situated. The BBC cannot do for Nigeria or Australia what it does for Britain; neither can the BMJ. Many of us take our position at the centre or periphery as neutral, natural, necessary or permanent. But the African American writer Toni Morrison proved the opposite with her career: ‘I stood at the border, stood at the edge and claimed it as central. l claimed it as central, and let the rest of the world move over to where I was.’2 Although physically in the USA, Toni Morrison was writing …. (shrink)

A generic analysis of research article abstracts can cover issues of different types; among them are linguistic features. An integral part of linguistic features of research article abstracts is interactive metadiscourse usage that can assist to make the text persuasive and unfolding to a discourse community. The main principle behind applying interactive metadiscourse is the view of writing as socially engaging; specifically, it indicates the ways writers project themselves into their arguments to declare their attitudes and commitments to the readers. (...) This study aimed to explore how interactive metadiscourse markers are deployed by research article abstract writers belonging to different disciplinary communities within the soft sciences, while trying to reach the audience by creating a well-organized discourse. Hyland’s interpersonal model of metadiscourse was adopted to analyze 60 research article abstracts written in Applied Linguistics and Economics. Based on the results, there were marked variations found across the two disciplines in terms of interactive metadiscourse markers. (shrink)

The current study aims to explain the fundamentals of religious pluralism in Wittgenstein later philosophy and Gadamer philosophical hermeneutics, specifically regarding culture. It, then, proposes the approach more suitable for the Islamic context. Having fulfilled such an objective, pluralism, concerning religious rituals, becomes accepted and cultural and religious interaction is realized without any relativism conclusion. Wittgenstein’s pluralism results in pure relativism. That is to say, in order to understand the rules of the language game and life style he mentions, one (...) needs to be placed inside. However, it is a dialectical model that Gadamer philosophical hermeneutics leads to. Dialogue gives opportunity to cultural interaction and convergence, developing the religious culture. The latter is of more proximity to Islamic resources such as the Quran, proposing a religious culture transcending cultural, historical, and social limitations. All in all, the two significant features of Gadamer’s which Wittgenstein ignores are first, the interaction of religious pluralism encouraging the development of religious culture and second, reciprocal relation between culture and religion based on hermeneutics circle. (shrink)

Recent literature on Islam and the digital covers a wide range of topics and themes; however, what is yet to be developed from an Islamic perspective is a broader philosophical framework that accounts for the nature, exigencies and affordances of contemporary digital technologies. In advance of such a framework, this article is an attempt to open the way to philosophical engagement with issues of digital ethics from an Islamic perspective. After a brief review of recent literature on Islam and the (...) digital and a significantly earlier work by Ziauddin Sardar, in which he proposed an information strategy for the Muslim world, this paper provides some background to Islamic ethics and the wide field of ethical theories in the Islamic tradition. This paper then proceeds by identifying and outlining examples of contemporary themes in Islam and the digital which conceal underlying philosophical and theological issues. Finally, this paper considers the significant scale and scope of the transformations involved in the ongoing transposition to the ‘onlife’ and highlights several areas where Islamic perspectives may be seen to converge or diverge with other strands of scholarship on digital ethics. (shrink)

We argue that the debate about the normativity of belief thesis has been hampered by the slogan, ‘belief aims at truth’. We show that the slogan provides no content to the normativity of belief. The slogan encourages formulations of the norm as a prescriptive norm. There are well-known problems with such formulations. We provide a new formulation of the thesis as a prohibitive norm. This captures the key intuition most normativists about belief want to endorse.

The issue of existence - quiddity difference is one of the important issues that were put forward for the first time in Islamic philosophy without having any background in Greek philosophy. Aristotle's metaphysics which is the main source of the first philosophy contains only synonymous and verbal meaning ofexistence. The issue of existence - quiddity difference has no room in Aristotle's works. This issue was proposed first by Farabi and then was completed by Ibn sina. In Islamic philosophy when it (...) is proved that existence in the mind is neither identical with quiddity nor a part of it but differs with it and is excess of it, that is, when it is proved that existence occurs on quiddity, this question arises that how is their relation in the outside? Whether existence occurs on quiddity or existence and quiddity are identical in the external world? To this question the Islamic philosophers answer that existence and quiddity are identical in the outside and it isimpossible that they differ from each other in the external world. The importance of this issue is that it finally led to the origination of the doctrine of the principality of existence which is known as the culmination of Islamic philosophy. The main goal of this article is study this issue and its impact upon the origination of the doctrine of the principiality of existence. (shrink)

According to many philosophers, the notion of belief is constitutively normative ; Shah ; Shah and Velleman (); Gibbard (); Wedgwood ). In a series of widely discussed papers, Terence Horgan and Mark Timmons have developed an ingenious ‘Moral Twin Earth’ argument against ‘Cornell Realist’ metaethical views which hold that moral terms have synthetic natural definitions in the manner of natural kind terms. In this paper we shall suggest that an adaptation of the Moral Twin Earth argument to the doxastic (...) case – Doxastic Twin Earth – provides new evidence for the normativity of belief. (shrink)

After introducing Millianism and touching on two problems raised by genuinely empty names for Millianism (section I), I provide a brief exposition of the Gappy Proposition View (GPV) and of how different versions of this view can reply to the problems in question (section II). In the following sections I develop my reasons against the GPV. First, I will try to argue that apparently promising arguments for the claim that gappy propositions are propositions are not successful (section III). Then, I (...) will develop two arguments against GPs via demonstrating two odd consequences of the GPV: (a) that there can be an atomic proposition which contains other propositions that are not the semantic contents of any part of the .. (shrink)

There has recently been a surge of development in augmented reality (AR) technologies that has led to an ecosystem of hardware and software for AR, including tools for artists and designers to accelerate the design of AR content and experiences without requiring complex programming. AR is viewed as a key “disruptive technology” and future display technologies (such as digital eyewear) will provide seamless continuity between reality and the digitally augmented. This article will argue that the technologization of human perception and (...) experience of reality, coupled with the development of artificial intelligence (AI)–based natural language assistants, may lead to a secular re‐enchantment of the world, in the sense outlined by Charles Taylor, where human existence is shaped through AR inhabited by advanced personal and social AI agents in the form of digital avatars and daemons, and that enchantment has been persistent throughout the formation of modernity and is being rekindled by the integration of AI in the plane of AR. (shrink)

This paper takes the form of a ‘performative’ dialogue, a recounting of scenes, which alternate, in the mode of a cinematic montage, with academic analysis of the interfaces between boxing, art, and space. In his book Body and Soul: Notebooks on an Apprentice Boxer, sociologist Loïc Wacquant mixes three genres: analytic sociology, depictive ethnography, and short story. He argues that he used this unorthodox methodology ‘to make the reader simultaneously feel and understand how boxers are “gripped” by their craft and (...) viscerally tied to it’. Similarly, in this paper, the overlapping voices of its two authors engage in both performative, creative and intellectual ways with the critiques and social rituals surrounding boxing, ultimately finding that an understanding of boxing as an epistemological encounter gives rise to interesting ways to think through the relationships between art and urban space itself. The paper ranges widely over each author’s personal experience of boxing, analyses of specific artworks both ancient and modern, and an analysis of the psychogeography of urban space, and in particular, Johannesburg. The form of the paper, as it incorporates narrative experience and analytic mode, can be seen as a text that re-enacts the ‘performance’ of boxing and art-making in which the traditional opposition between the two is integrated, if not suspended. (shrink)

The path of religious pluralism starts with the fact that our world contains a number of religious faiths having different ideas of the nature of divinity as the main and fundamental principle of religions and therefore, different and various dogmas, rites, and rituals.Despite the claim that the idea of religious pluralism is a product of modern philosophical schools, specifically new epistemological principles, I have attempted to demonstrate that what I have called "pluralistic religion," as a part of a necessary and (...) substantial distinction that has to be drawn between this hypothesis and John Hick's classic theory of "religious pluralism," is strongly rooted in the principle of "ultimate truth and uniqueness of .. (shrink)