In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic semi-supra open set and neutrosophic semi-supra open continuous functions respectively.

In this paper, we presented antoher concept of neutrosophic open sets called neutrosophic semi-α-open sets and studied their fundamental poperties in neutrosophic topological spaces. We also present neutrospohic semi-α-interior and neutrosophic semi-α-closure and study some of their fundamental properties.

In his essay ‘“Wang’s Paradox”’, Crispin Wright proposes a solution to the Sorites Paradox (in particular, the form of it he calls the ‘Paradox of Sharp Boundaries’) that involves adopting intuitionistic logic when reasoning with vague predicates. He does not give a semantic theory which accounts for the validity of intuitionistic logic (and the invalidity of stronger logics) in that area. The present essay tentatively makes good the deficiency. By applying a theorem of Tarski, it shows that intuitionistic logic is (...) the strongest logic that may be applied, given certain semantic assumptions about vague predicates. The essay ends with an inconclusive discussion of whether those semantic assumptions should be accepted. (shrink)

Enterprise resource planning (ERP) has a significant impact on modern businesses by enhancing productivity, automation, and streamlining of business processes, even accounting. Manufacturers can assure proper functioning and timely client demand using ERP software. Coordination, procurement control, inventory control, and dispatch of commodities are all features of supply chain management.

The concept of neutrosophic locally compact and neutrosophic compact open topology are introduced and some interesting propositions are discussed.

An introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. The audience is undergraduate students with some background in formal logic.

We respond to open peer commentaries on our target article, "Health Research Priority Setting: The Duties of Individual Funders".

Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with a finite (...) number of solutions in positive integers x_1,...,x_9 has a solution (x_1,...,x_9)∈(N\{0})^9 satisfying max(x_1,...,x_9)>f(9). For every known system S⊆B, if the finiteness/infiniteness of the set {(x_1,...,x_9)∈(N\{0})^9: (x_1,...,x_9) solves S} is unknown, then the statement ∃ x_1,...,x_9∈N\{0} ((x_1,...,x_9) solves S)∧(max(x_1,...,x_9)>f(9)) remains unproven. Let Λ denote the statement: if the system of equations {x_2!=x_3, x_3!=x_4, x_5!=x_6, x_8!=x_9, x_1 \cdot x_1=x_2, x_3 \cdot x_5=x_6, x_4 \cdot x_8=x_9, x_5 \cdot x_7=x_8} has at most finitely many solutions in positive integers x_1,...,x_9, then each such solution (x_1,...,x_9) satisfies x_1,...,x_9≤f(9). The statement Λ is equivalent to the statement Φ. It heuristically justifies the statement Φ . This justification does not yield the finiteness/infiniteness of P(n^2+1). We present a new heuristic argument for the infiniteness of P(n^2+1), which is not based on the statement Φ. Algorithms always terminate. We explain the distinction between existing algorithms (i.e. algorithms whose existence is provable in ZFC) and known algorithms (i.e. algorithms whose definition is constructive and currently known). Assuming that the infiniteness of a set X⊆N is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. *** (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) No known algorithm with no input returns the logical value of the statement card(X)=ω. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. *** Conditions (2)-(5) hold for X=P(n^2+1). The statement Φ implies Condition (1) for X=P(n^2+1). The set X={n∈N: the interval [-1,n] contains more than 29.5+\frac{11!}{3n+1}⋅sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. 501893∈X. Condition (1) holds with n=501893. card(X∩[0,501893])=159827. X∩[501894,∞)= {n∈N: the interval [-1,n] contains at least 30 primes of the form k!+1}. We present a table that shows satisfiable conjunctions of the form #(Condition 1) ∧ (Condition 2) ∧ #(Condition 3) ∧ (Condition 4) ∧ #(Condition 5), where # denotes the negation ¬ or the absence of any symbol. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove this assumption. (shrink)

In formal epistemology, we use mathematical methods to explore the questions of epistemology and rational choice. What can we know? What should we believe and how strongly? How should we act based on our beliefs and values? We begin by modelling phenomena like knowledge, belief, and desire using mathematical machinery, just as a biologist might model the fluctuations of a pair of competing populations, or a physicist might model the turbulence of a fluid passing through a small aperture. Then, we (...) explore, discover, and justify the laws governing those phenomena, using the precision that mathematical machinery affords. For example, we might represent a person by the strengths of their beliefs, and we might measure these using real numbers, which we call credences. Having done this, we might ask what the norms are that govern that person when we represent them in that way. How should those credences hang together? How should the credences change in response to evidence? And how should those credences guide the person’s actions? This is the approach of the first six chapters of this handbook. In the second half, we consider different representations—the set of propositions a person believes; their ranking of propositions by their plausibility. And in each case we ask again what the norms are that govern a person so represented. Or, we might represent them as having both credences and full beliefs, and then ask how those two representations should interact with one another. This handbook is incomplete, as such ventures often are. Formal epistemology is a much wider topic than we present here. One omission, for instance, is social epistemology, where we consider not only individual believers but also the epistemic aspects of their place in a social world. Michael Caie’s entry on doxastic logic touches on one part of this topic, but there is much more. Relatedly, there is no entry on epistemic logic, nor any on knowledge more generally. There are still more gaps. These omissions should not be taken as ideological choices. This material is missing, not because it is any less valuable or interesting, but because we v failed to secure it in time. Rather than delay publication further, we chose to go ahead with what is already a substantial collection. We anticipate a further volume in the future that will cover more ground. Why an open access handbook on this topic? A number of reasons. The topics covered here are large and complex and need the space allowed by the sort of 50 page treatment that many of the authors give. We also wanted to show that, using free and open software, one can overcome a major hurdle facing open access publishing, even on topics with complex typesetting needs. With the right software, one can produce attractive, clear publications at reasonably low cost. Indeed this handbook was created on a budget of exactly £0 (≈ $0). Our thanks to PhilPapers for serving as publisher, and to the authors: we are enormously grateful for the effort they put into their entries. (shrink)

In this book the authors introduce and study the following notions: Neutrosophic Crisp Points, Neutrosophic Crisp Relations, Neutrosophic Crisp Sets, Neutrosophic Set Generated by (Characteristic Function), alpha-cut Level for Neutrosophic Sets, Neutrosophic Crisp Continuous Function, Neutrosophic Crisp Compact Spaces, Neutrosophic Crisp Nearly Open Sets, Neutrosophic Crisp Ideals, Neutrosophic Crisp Filter, Neutrosophic Crisp Local Functions, Neutrosophic Crisp Sets via Neutrosophic Crisp Ideals, Neutrosophic Crisp L-Openness and Neutrosophic Crisp L-Continuity, Neutrosophic Topological Region, Neutrosophic Closed Set and Neutrosophic (...) Continuous Function, etc. They compute the distances between neutrosophic sets and extend it to Neutrosophic Hesitancy Degree. The authors also generalize the Crisp Topological Space and Intuitionistic Topological Space to the notion of Neutrosophic Crisp Topological Space. At the end, they present applications to Neutrosophic Database, and show a security scheme based on Public Key Infrastructure (PKI) using Neutrosophic Logic Manipulation. The authors utilize neutrosophic sets in order to analyze social networks data conducted through learning activities, and for the Geographical Information Systems (GIS) they employ fundamental concepts and properties of a Neutrosophic Spatial Region. Keywords: Neutrosophic Crisp Points; Neutrosophic Crisp Relations; Neutrosophic Crisp Sets; Neutrosophic Crisp Continuous Function; Neutrosophic Crisp Compact Spaces; Neutrosophic Crisp Nearly Open Sets; Neutrosophic Crisp Ideals; Neutrosophic Crisp Filter; Neutrosophic Crisp Local Functions; Neutrosophic Crisp Sets via Neutrosophic Crisp Ideals; Neutrosophic Crisp L-Openness and Neutrosophic Crisp L-Continuity; Neutrosophic Topological Region; Neutrosophic Closed Set and Neutrosophic Continuous Function; Neutrosophic Hesitancy Degree; Neutrosophic Crisp Topological Space; Neutrosophic Database; Neutrosophic Logic Manipulation; Neutrosophic Spatial Region. (shrink)

Decentralized autonomous organizations (DAOs) are a new, rapidly-growing class of organizations governed by smart contracts. Here we describe how researchers can contribute to the emerging science of DAOs and other digitally-constituted organizations. From granular privacy primitives to mechanism designs to model laws, we identify high-impact problems in the DAO ecosystem where existing gaps might be tackled through a new data set or by applying tools and ideas from existing research fields such as political science, computer science, economics, law, and organizational (...) science. Our recommendations encompass exciting research questions as well as promising business opportunities. We call on the wider research community to join the global effort to invent the next generation of organizations. (shrink)

Some recent discussions of mechanistic explanation have focused on control operations. But control is often associated with teleological or normative-sounding concepts like goals and set-points, prompting the question: Does an explanation that refers to parts or mechanisms “controlling” each other thereby fail to be mechanistic? In this paper I introduce and explain a distinction between what I call open-ended and closed-ended control operations. I then argue that explanations that enlist control operations to do explanatory work can count as mechanistic (...) only if such control operations are closed-ended, not open-ended. (shrink)

Open access (OA) is a set of principles and a range of practices through which research outputs are distributed online, free of access charges or other barriers.[1] With open access strictly defined (according to the 2001 definition), or libre open access, barriers to copying or reuse are also reduced or removed by applying an open license for copyright.

Kripke, argued like this: it seems possible that E; the appearance can't be explained away as really pertaining to a "presentation" of E; so, pending a different explanation, it is possible that E. Textbook Kripkeans see in the contrast between E and its presentation intimations of a quite general distinction between two sorts of meaning. E's secondary or a posteriori meaning is the set of all worlds w which E, as employed here, truly describes. Its primary or a priori meaning (...) is the set of all w such that if w is actual, then E is true. "Conceivability error" occurs when a primary possibility is mistaken for a secondary one. Textbook Kripkeanism is rejected on the grounds that it makes meaning too modal and modality too much a matter of meaning. (shrink)

This publication offers the first critical edition of John Buridan’s second set of questions on Aristotle's “De generatione et corruptione”. The edition was made by Michiel Streijger, Paul Bakker and Hans Thijssen. First published as a printed book in 2010, the publication has been converted to open access with the CC BY-NC-ND license as of September 2023.

In this paper I argue for the relevance of the philosophy of Hans-Georg Gadamer for contemporary feminist scholarship on epistemic injustice and oppression. Specifically, I set out to argue for the Gadamerian notion of hermeneutical openness as an important hermeneutic virtue, and a potential remedy for existing epistemic injustices. In doing so I follow feminist philosophers such as Linda Martín Alcoff and Georgia Warnke that have adopted the insights of Gadamer for the purpose of social and feminist philosophy. Further, this (...) paper is positioned in relation to a recent book chapter by Cynthia Nielsen and David Utsler in which they argue for the complementarity, and intersecting themes and concerns of Gadamer's hermeneutics and Miranda Fricker's work on epistemic injustice. However, Nielsen and Utsler solely focus on Fricker's conception of epistemic injustice and the two forms of epistemic injustice, testimonial injustice and hermeneutical injustice, that she identifies. In this paper I expand their analysis by considering other forms of epistemic injustice such as wilful hermeneutical ignorance and contributory injustice. Thus, this paper contributes to the budding literature on the relevance of Gadamer's work for the debates pertaining to epistemic injustice and oppression by expanding such analysis to other forms of epistemic injustice, and by further arguing for the strength of Gadamer's work in terms of offering relevant insights for the reduction and remedy of existing epistemic injustices. (shrink)

Collected and edited by Noah Levin -/- Table of Contents: -/- UNIT ONE: INTRODUCTION TO CONTEMPORARY ETHICS: TECHNOLOGY, AFFIRMATIVE ACTION, AND IMMIGRATION 1 The “Trolley Problem” and Self-Driving Cars: Your Car’s Moral Settings (Noah Levin) 2 What is Ethics and What Makes Something a Problem for Morality? (David Svolba) 3 Letter from the Birmingham City Jail (Martin Luther King, Jr) 4 A Defense of Affirmative Action (Noah Levin) 5 The Moral Issues of Immigration (B.M. Wooldridge) 6 The Ethics of our (...) Digital Selves (Noah Levin) -/- UNIT TWO: TORTURE, DEATH, AND THE “GREATER GOOD” 7 The Ethics of Torture (Martine Berenpas) 8 What Moral Obligations do we have (or not have) to Impoverished Peoples? (B.M. Wooldridge) 9 Euthanasia, or Mercy Killing (Nathan Nobis) 10 An Argument Against Capital Punishment (Noah Levin) 11 Common Arguments about Abortion (Nathan Nobis & Kristina Grob) 12 Better (Philosophical) Arguments about Abortion (Nathan Nobis & Kristina Grob) -/- UNIT THREE: PERSONS, AUTONOMY, THE ENVIRONMENT, AND RIGHTS 13 Animal Rights (Eduardo Salazar) 14 John Rawls and the “Veil of Ignorance” (Ben Davies) 15 Environmental Ethics: Climate Change (Jonathan Spelman) 16 Rape, Date Rape, and the “Affirmative Consent” Law in California (Noah Levin) 17 The Ethics of Pornography: Deliberating on a Modern Harm (Eduardo Salazar) 18 The Social Contract (Thomas Hobbes) -/- UNIT FOUR: HAPPINESS 19 Is Pleasure all that Matters? Thoughts on the “Experience Machine” (Prabhpal Singh) 20 Utilitarianism (J.S. Mill) 21 Utilitarianism: Pros and Cons (B.M. Wooldridge) 22 Existentialism, Genetic Engineering, and the Meaning of Life: The Fifths (Noah Levin) 23 The Solitude of the Self (Elizabeth Cady Stanton) 24 Game Theory, the Nash Equilibrium, and the Prisoner’s Dilemma (Douglas E. Hill) -/- UNIT FIVE: RELIGION, LAW, AND ABSOLUTE MORALITY 25 The Myth of Gyges and The Crito (Plato) 26 God, Morality, and Religion (Kristin Seemuth Whaley) 27 The Categorical Imperative (Immanuel Kant) 28 The Virtues (Aristotle) 29 Beyond Good and Evil (Friedrich Nietzsche) 30 Other Moral Theories: Subjectivism, Relativism, Emotivism, Intuitionism, etc. (Jan F. Jacko). (shrink)

The aim of this article is to propose a novel supervaluationist theory of ‘actually’ in the open future. First, I will argue that any adequate theory of actuality in a branching setting must comply with three main desiderata. Second, I will prove that none of the actuality operators that have been proposed in the literature is up to the task. Finally, I will propose a novel theory of actuality in the open future combining one of the existing definitions (...) of the actuality operator with a new definition of the historical possibility operator, and argue for its adequacy. The central feature of the theory I will advance is the introduction of an actuality parameter capable of being shifted by the historical possibility operator. I will argue that this account appears to not only be consistent with the idea that the future is genuinely open, but also with the general idea that ‘actually’ is, in a relevant sense, a ‘rigid’ operator. (shrink)

According to Gabriel Marcel, no task is more important and more complex than looking for ways of confronting and overcoming despair. Therefore, the search for the essence of hope is the objective of this paper. Reference is made to the theme of the open soul in Henri Bergson’s, Gabriel Marcel’s, and Jan Patočka’s works. Such a soul is not centred in itself; moreover, according to Marcel, hope and soul are intrinsically linked together. Hope opens people towards the future. The (...) concept of hope in the biblical context is shown briefly, according to which hope is in God (Ps 62:5), while God is coming to man. At the same time, biblical texts sketch a pathway to hope, setting out from suffering through endurance and character (Rom 5:3–4). The paper stresses that hope takes root in dialogue and that a person is empowered to adopt hope as a gift. (shrink)

Recently, many philosophers and psychologists have claimed that the explanation that grounds both passivity phenomena in the cognitive domain and passivity phenomena that occur with respect to overt actions is, along broad lines, the same. Furthermore, they claim that the best account we have of such phenomena in both scenarios is the “comparator” account. However, there are reasons to doubt whether the comparator model can be exported from the realm of overt actions to the cognitive domain in general. There is (...) a lingering worry concerning such explanations of thought insertion: the "What is compared to what?" problem. Here I examine two ways to tackle this problem. First: thought insertion consists of the misattribution of strings of inner speech which are not attenuated (thought insertion is thus another name for auditory verbal hallucinations). Second: thought insertion is misattributed inner speech which exhibits the same phenomenological characteristics as normal inner speech. After explaining the types of problem that each of these potential solutions faces, I conclude with a set of open questions that the comparator theorist has to tackle. (shrink)

Video gaming has been rising rapidly to become one of the primary entertainment media, especially during the COVID-19 pandemic. Playing video games has been reported to associate with many psychological and behavioral traits. However, little is known about the connections between game players' behaviors in the virtual environment and environmental perceptions. Thus, the current data set offers valuable resources regarding environmental worldviews and behaviors in the virtual world of 640 Animal Crossing: New Horizons (ACNH) game players from 29 countries around (...) the globe. The data set consists of six major categories: 1) socio-demographic profile, 2) COVID-19 concern, 3) environmental perception, 4) game-playing habit, 5) in-game behavior, and 6) game-playing feeling. By making this data set open, we aim to provide policymakers, game producers, and researchers with valuable resources for understanding the interactions between behaviors in the virtual world and environmental perceptions, which could help produce video games in compliance with the United Nations (UN) Sustainable Development Goals. (shrink)

The problem of free will has persistently resisted a solution throughout centuries. There is reason to believe that new elements need to be introduced into the analysis in order to make progress. In the present physicalist approach, these elements are emergence and information theory in relation to universal limits set by quantum physics. Furthermore the common, but vague, characterization of free will as "being able to act differently" is, in the spirit of Carnap, rephrased into an explicatum more suitable for (...) formal analysis. It is argued that the mind is an ontologically open system; a causal high-level system, the future of which cannot be reduced to the states of its associated low-level neural systems, not even if it is rendered physically closed. A positive answer to the question of free will is subsequently outlined. (shrink)

Biological ontologies are used to organize, curate, and interpret the vast quantities of data arising from biological experiments. While this works well when using a single ontology, integrating multiple ontologies can be problematic, as they are developed independently, which can lead to incompatibilities. The Open Biological and Biomedical Ontologies Foundry was created to address this by facilitating the development, harmonization, application, and sharing of ontologies, guided by a set of overarching principles. One challenge in reaching these goals was that (...) the OBO principles were not originally encoded in a precise fashion, and interpretation was subjective. Here we show how we have addressed this by formally encoding the OBO principles as operational rules and implementing a suite of automated validation checks and a dashboard for objectively evaluating each ontology’s compliance with each principle. This entailed a substantial effort to curate metadata across all ontologies and to coordinate with individual stakeholders. We have applied these checks across the full OBO suite of ontologies, revealing areas where individual ontologies require changes to conform to our principles. Our work demonstrates how a sizable federated community can be organized and evaluated on objective criteria that help improve overall quality and interoperability, which is vital for the sustenance of the OBO project and towards the overall goals of making data FAIR. Competing Interest StatementThe authors have declared no competing interest. (shrink)

Contemporary debates about scientific institutions and practice feature many proposed reforms. Most of these require increased efforts from scientists. But how do scientists’ incentives for effort interact? How can scientific institutions encourage scientists to invest effort in research? We explore these questions using a game-theoretic model of publication markets. We employ a base game between authors and reviewers, before assessing some of its tendencies by means of analysis and simulations. We compare how the effort expenditures of these groups interact in (...) our model under a variety of settings, such as double-blind and open review systems. We make a number of findings, including that open review can increase the effort of authors in a range of circumstances and that these effects can manifest in a policy-relevant period of time. However, we find that open review’s impact on authors’ efforts is sensitive to the strength of several other influences. (shrink)

I will start my inaugural address by outlining the main argument of my lecture. First, I will identify the phenomenon that philosophers of technology research. This subject matter, in my view, consists not only of ethical issues that disruptive technologies raise but also of the disruption of the world in which we live and act by these technologies. I will illustrate this disruption by reflecting on the convergence of the physical and the virtual in the digital world, which is expected (...) to change the way we live together. I propose that philosophers of technology should research new disruptive technologies and the digital world in which they are embedded in an integrated manner. Subsequently, I will ask how the emergence of digital technologies disrupts the world’s design in the digital age. My hypothesis is that technological innovations themselves constitute the World in a non-anthropocentric and non-determinist manner. To make my case, I will first draw attention to the difference between technology and innovation and propose a philosophy of innovation. This will enable me to consider how innovation processes have an economic, social-political and ontological impact on the world. Based on historical and contemporary examples, I will illustrate the redesign of the world in the digital age. This broader understanding of the impact of digital technologies will subsequently enable me to articulate some of the critical questions I have regarding digitalisation, and how the philosophical tradition can be made fruitful to critically reflect on the elision between the physical and the virtual in the digital age. This criticism informs my engagement with ethical questions in ethics of technology, ELSA (Ethical, Legal and Social Aspects) and Responsible Innovation. As a final step, I open a progressive perspective on the emancipatory potential of disruptive innovations to set the world free. In times of climate change, we are urgently in need of an emancipation of the World. We need to move beyond the classical opposition between technophobia and technophilia and look for innovations that can set the World free and contribute to a sustainable future. I will illustrate the emancipatory potential of disruptive technological innovations by considering the shift from human-centred technology to bio-centred technology in biomimetic design. (shrink)

I begin this article with an increasingly accepted claim: that emotions lend differential weight to states of affairs, helping us conceptually carve the world and make rational decisions. I then develop a more controversial assertion: that environments have non-subjective emotional qualities, which organize behavior and help us make sense of the world. I defend this from ecological and related embodied standpoints that take properties to be interrelational outcomes. I also build on conceptions of experience as a cultural phenomenon, one that (...) coheres around shared environmental contours and public emotional concerns, introducing normative constraints (or what might be called “world grammars”). Endorsing this outlook suggests an argument for the view that cultural spaces have affectively charged, non-subjective, normative openings and closures. These openings and closures engender selectively permeable barriers which cordon space without physically preventing entry, as seen with decorative half walls and elevation changes. An area with such barriers may look emotionally hostile to, say, the dispirited homeless who are in fact less welcome there. Outcomes like these might be thought of as “political affordances.” These affordances can be regarded as normative openings and closures that implicitly filter, and hence segregate, according to various social divisions. Although registering political affordances requires more than the detection of ambient arrays, the notion retains core Gibsonian ideas: that affordances are values, that these values are linked with how a space can be used, and that the existence and nature of such affordances is not a subjective matter. (shrink)

Moss (2018) argues that rational agents are best thought of not as having degrees of belief in various propositions but as having beliefs in probabilistic contents, or probabilistic beliefs. Probabilistic contents are sets of probability functions. Probabilistic belief states, in turn, are modeled by sets of probabilistic contents, or sets of sets of probability functions. We argue that this Mossean framework is of considerable interest quite independently of its role in Moss’ account of probabilistic knowledge or (...) her semantics for epistemic modals and probability operators. It is an extremely general model of uncertainty. Indeed, it is at least as general and expressively powerful as every other current imprecise probability framework, including lower probabilities, lower previsions, sets of probabilities, sets of desirable gambles, and choice functions. In addition, we partially answer an important question that Moss leaves open, viz., why should rational agents have consistent probabilistic beliefs? We show that an important subclass of Mossean believers avoid Dutch bookability iff they have consistent probabilistic beliefs. (shrink)

It is outlined the possibility to extend the quantum formalism in relation to the requirements of the general systems theory. It can be done by using a quantum semantics arising from the deep logical structure of quantum theory. It is so possible taking into account the logical openness relationship between observer and system. We are going to show how considering the truth-values of quantum propositions within the context of the fuzzy sets is here more useful for systemics. In conclusion (...) we propose an example of formal quantum coherence. (shrink)

Near-death experiences have been described with a variety of forms and narratives. Different medical conditions leading to loss of consciousness or causing a restriction in the perceptive field have been related with the appearance of near-death experiences. A few literary narratives of these experiences are available, with fictional characters exposed to helplessness and despair during the impending death. A situation of near-death experience is described in the last part of the seventh chapter of an Albanian novel „The castle‟ of Ismail (...) Kadare. The last two pages of this chapter describe the confusion following the crash of a tunnel dug deep underground from Turkish soldiers, which aimed to reach inside a besieged castle. Darkness-related hallucinations and restriction of cognitive field due to environmental factors will be responsible of the aftermath following the deliberate crash of the tunnel, caused from the castle inhabitants, after fierce fighting during the siege. A fictional description of these experiences and of the psychological and physical agony will complete the rest. Near-death moments and respective descriptions have been an important field of medicine, humanities and forensic sciences. Only some writers have hazarded into describing such personal experiences of despair and helplessness during the agony and impending death. (shrink)

The objective of this study is to incorporate topological space into the realm of n-Cylindrical Fuzzy Neutrosophic Sets (n-CyFNS), which are the most novel type of fuzzy neutrosophic sets. In this paper, we introduce n-Cylindrical Fuzzy Neutrosophic Topological Spaces (n-CyFNTS), n-Cylindrical Fuzzy Neutrosophic (n-CyFN) open sets, and n-CyFN closed sets. We also defined the n-CyFN base, n-CyFN subbase, and some related theorems here.

This open access monograph offers a detailed study and a systematic defense of a key intuition we typically have, as human beings, with respect to the nature of time: the intuition that the future is open, whereas the past is fixed. For example, whereas it seems unsettled whether there will be a fourth world war, it is settled that there was a first world war. -/- The book contributes, in particular, three major and original insights. First, it provides (...) a coherent, non-metaphorical, and metaphysically illuminating elucidation of the intuition. Second, it determines which model of the temporal structure of the world is most appropriate to accommodate the intuition, and settles on a specific version of the Growing Block Theory of time (GBT). Third, it puts forward a naturalistic foundation for GBT, by exploiting recent results of our best physics (viz. General Relativity, Quantum Mechanics, and Quantum Gravity). Three main challenges are addressed: the dismissal of temporal asymmetries as non-fundamental phenomena only (e.g., thermodynamic or causal phenomena), the epistemic objection against GBT, and the apparent tension between GBT and relativistic physics. It is argued that the asymmetry between the open future and the fixed past must be grounded in the temporal structure of the world, and that this is neither precluded by our epistemic device, nor by the latest approaches to Quantum Gravity (​e.g., the Causal Set Theory). -/- Aiming at reconciling time as we find it in ordinary experience and time as physics describes it, this ​innovative book ​will raise the interest of both academic researchers and ​graduate students working on the philosophy of time. More generally, it ​presents contents of interest for all metaphysicians and non-dogmatic philosophers of physics. (shrink)

In this paper a solution of Whitehead’s problem is presented: Starting with a purely mereological system of regions a topological space is constructed such that the class of regions is isomorphic to the Boolean lattice of regular open sets of that space. This construction may be considered as a generalized completion in analogy to the well-known Dedekind completion of the rational numbers yielding the real numbers . The argument of the paper relies on the theories of continuous lattices (...) and “pointless” topology.

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Of all twentieth century philosophers, it is Gilles Deleuze whose work agitates most forcefully for a worldview privileging becoming over being, difference over sameness; the world as a complex, open set of multiplicities. Nevertheless, Deleuze remains singular in enlisting mathematical resources to underpin and inform such a position, refusing the hackneyed opposition between ‘static’ mathematical logic versus ‘dynamic’ physical world. This is an international collection of work commissioned from foremost philosophers, mathematicians and philosophers of science, to address the wide (...) range of problematics and influences in this most important strand of Deleuze’s thinking. Contributors are Charles Alunni, Alain Badiou, Gilles Châtelet, Manuel DeLanda, Simon Duffy, Robin Durie, Aden Evens, Arkady Plotnitsky, Jean-Michel Salanskis, Daniel Smith and David Webb. (shrink)

Scroggs's theorem on the extensions of S5 is an early landmark in the modern mathematical studies of modal logics. From it, we know that the lattice of normal extensions of S5 is isomorphic to the inverse order of the natural numbers with infinity and that all extensions of S5 are in fact normal. In this paper, we consider extending Scroggs's theorem to modal logics with propositional quantifiers governed by the axioms and rules analogous to the usual ones for ordinary quantifiers. (...) We call them Π-logics. Taking S5Π, the smallest normal Π-logic extending S5, as the natural counterpart to S5 in Scroggs's theorem, we show that all normal Π-logics extending S5Π are complete with respect to their complete simple S5 algebras, that they form a lattice that is isomorphic to the lattice of the open sets of the disjoint union of two copies of the one-point compactification of N, that they have arbitrarily high Turing-degrees, and that there are non-normal Π-logics extending S5Π. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk (...) that seems to necessitate the addition of sets to V. We argue that, despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We present a method of interpreting extension-talk (V-logic), and show how it captures satisfaction in `ideal' outer models and relates to impredicative class theories. We provide some reasons to regard the technique as philosophically virtuous, and argue that it opens new doors to philosophical and mathematical discussions for the Universist. (shrink)

A repository of clinically associated Staphylococcus aureus (Sa) isolates is used to semi‐automatically generate a set of application ontologies for specific subfamilies of Sa‐related disease. Each such application ontology is compatible with the Infectious Disease Ontology (IDO) and uses resources from the Open Biomedical Ontology (OBO) Foundry. The set of application ontologies forms a lattice structure beneath the IDO‐Core and IDO‐extension reference ontologies. We show how this lattice can be used to define a strategy for the construction of a (...) new taxonomy of infectious disease incorporating genetic, molecular, and clinical data. We also outline how faceted browsing and query of annotated data is supported using a lattice application ontology. (shrink)

According to most accounts of trust, you can only trust other people (or groups of people). To trust is to think that another has goodwill, or something to that effect. I sketch a different form of trust: the unquestioning attitude. What it is to trust, in this sense, is to settle one’s mind about something, to stop questioning it. To trust is to rely on a resource while suspending deliberation over its reliability. Trust lowers the barrier of monitoring, challenging, checking, (...) and questioning. Trust sets up open pipelines between yourself and parts of the external world. Trust permits external resources to have a similar relationship to one as one’s internal cognitive faculties. This creates efficiency, but at the price of exquisite vulnerability. We must trust in this way because we are cognitively limited beings in a cognitively overwhelming world. Crucially, we can hold the unquestioning attitude towards objects and technologies. When I trust my climbing rope, I stop worrying about its reliability. When I trust my online calendaring system, I simply go to the events indicated, without question. But, one might worry, how could one ever hold such a normatively loaded attitude as trust towards mere objects? How could it ever make sense to feel betrayed by an object? Trust is our engine for expanding and outsourcing our agency — for binding external processes into our practical selves. Thus, we can be betrayed by our smartphones in the same way that we can be betrayed by our memory. When we trust, we try to make something a part of our agency, and we are betrayed when our part lets us down. To unquestioningly trust something is to let it in—to attempt to bring it inside one’s practical functioning. This suggests a new form of gullibility: agential gullibility, which occurs when agents too hastily and carelessly integrate external resources into their own agency. (shrink)

The future is different from the past. What is past is fixed and set in stone. The future, on the other hand, is open insofar as it holds numerous possibilities. Branching-tree models of time account for this asymmetry by positing an ontological difference between the past and the future. Given a time t, a unique unified past lies behind t, whereas multiple alternative existing futures lie ahead of t. My goal in this paper is to show that there is (...) an incompatibility between the way branching-tree models account for the open future and the possibility of time travel. That is, I argue that once time travel enters the picture, branching time fails to model the openness of the future by means of alternative future branches. I show how this holds independently of whether branching-time models are cashed out in A-theoretic or B-theoretic terms. (shrink)

Disputes about the causal structure of natural selection have implications for teleosemantics. Etiological, mainstream teleosemantics is based on a causalist view of natural selection. The core of its solution to Brentano’s Problem lies in the solution to Kant’s Puzzle provided by the Modern Synthesis concerning populational causation. In this paper, I suggest that if we adopt an alternative, statisticalist view on natural selection, the door is open for two reflections. First, it allows for setting different challenges to etiological teleosemantics (...) that arise if a statisticalist reading of natural selection is right. Second, by providing a different solution to Kant’s Puzzle based on individual causes of evolution, statisticalism promotes a different answer to Brentano’s Problem, what I label as Agential Teleosemantics. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show (...) that Russell did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

In this open access book, Carlos Montemayor illuminates the development of artificial intelligence (AI) by examining our drive to live a dignified life. -/- He uses the notions of agency and attention to consider our pursuit of what is important. His method shows how the best way to guarantee value alignment between humans and potentially intelligent machines is through attention routines that satisfy similar needs. Setting out a theoretical framework for AI Montemayor acknowledges its legal, moral, and political implications (...) and takes into account how epistemic agency differs from moral agency. -/- Through his insightful comparisons between human and animal intelligence, Montemayor makes it clear why adopting a need-based attention approach justifies a humanitarian framework. This is an urgent, timely argument for developing AI technologies based on international human rights agreements. (shrink)

This study is devoted to the ways and means to justify a ‘more’ cosmopolitan realization of certain policy implications, in the case of immigration. The raison d’être of this study is the idea that the contemporary debate over open borders suffers from indeterminate discussions on whether liberal states are entitled to restrict immigration. On the other hand, most of the liberal cosmopolitan accounts neglect the detrimental consequences of their open borders argument – which take it as a means (...) to compensate people in need –, such as brain drain and the effects of brain drain on the opportunity sets of members of sending countries. Therefore I offer a moral cosmopolitan account of immigration which takes the interests of would-be immigrants, the residents in receiving, along with the residents in sending countries in respect to their opportunity sets because of the way arbitrary border control represents the inequality of opportunity. I do not provide a well-formed immigration policy here, yet I believe the account provided here is more feasible in considering phenomena such as brain drain. (shrink)

This article argues that historical epistemology offers the history of philosophy and science more than a mere tool to write the history of concepts. It does this, first of all, by rereading historical epistemology through Michel Foucault's “techniques of the self.” Second, it turns to the work of Léon Brunschvicg and Gaston Bachelard. In their work we see a proposal for what the subjectivity of scientists and philosophers should be. The article thus argues that their work is driven by a (...) normative psychology: a set of prescriptions for which mental constitution a scholarly self has to have. In the Conclusion, it returns to existing analyses of “open‐mindedness” as a virtue and explores in what way these cases challenge these analyses, as well as to what extent Foucault's “techniques of the self” can be applied to other cases in the history of French philosophy. (shrink)

A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness (...) argument, the status of reflection principles as axioms is left open for the Zermelian. (shrink)

The goal of this short note is to expand the concepts of ‘pluralism’, ‘neutrosophy’, ‘refined neutrosophy’, ‘refined neutrosophic set’, ‘multineutrosophic set’, and ‘plithogeny’ (Smarandache 2002, 2013, 2017, 2019, 2021, 2023a, 2023b, 2023c), into a larger category that I will refer to as MultiAlism (or MultiPolar). As a straightforward generalization, I propose the conceptualization of a MultiPolar System (different from a PluriPolar System), which is formed not only by multiple elements that might be random, or contradictory, or adjuvant, but also by (...) accepting features from more than one basic system (UniPolar, BiPolar, TriPolar, or PluriPolar systems). PluriAlism is a closed dynamic system without neutralities nor indeterminacies, while MultiAlism is an open dynamic system with neutralities and indeterminacies. PluriAlism is a uni-system (formed by elements from a single system), while MultiAlism is a MultiSystem (formed by elements from many systems). (shrink)

This Open Access volume is based on the 'Early Carnap in Context’ workshop that took place in Konstanz in 2017 and looks at Rudolf Carnap’s philosophy, documented in his recently released diaries, from a combination of historical, cultural and philosophical perspectives. It enables further evaluation of the diaries and traces newly found interrelationships and their systematic definition. From a cultural and historical point of view, Logical Empiricism and Carnap’s pivotal opus, The Logical Structure of the World, did not evolve (...) in a vacuum. This applies equally in a history of philosophy context as well as under consideration of contemporary historical and cultural influences such as the socio-cultural setting in Vienna and Prague, the correlation between Logical Empiricism and Bauhaus modernism, the connection to the Life Reform Movement or the Youth Movement with its own life philosophy. Pursuing Carnap’s progression on a micro level of history and referring the results back to Carnap’s philosophy is now facilitated by recent access to his Diaries from 1908–1935. These shorthand records, reading lists, travel reports and notes constitute a valuable source for the research of networks and social movements which left their mark on him. (shrink)

In the last decade alone, a growing body of preliminary evidence suggests that classic psychedelics (CPs) can rapidly and durably ameliorate symptoms and cognitive deficits associated with depression. However, the mechanisms by which CPs work in the brain are not well understood. Rodent translational research, in which experimental findings from rodents are translated to humans, is fundamental in achieving this goal. This chapter focuses on a representative subset of human and rodent studies investigating CPs for depression, including the various lines (...) of research that have been initiated to understand how they work. Our aim is to show that in addition to epistemic challenges that scientists face in translating findings from rodents to humans, there is also mismatch between experimental approaches used to investigate CPs in humans and rodents. We thus show current experimental practices are not conducive to mechanistic discovery. We end with a set of positive proposals to expedite the drive to translate CPs into effective treatments for depression. -/- Keywords: classic psychedelics, psychiatry, clinical trials, collaboration, extrapolation, major depressive disorder, open science, philosophy of science, rodent models, scientific practice, translation, validity . (shrink)

This paper sets out a novel response to the ‘screening off problem’ for naïve realism. The aim is to resist the claim (which many naïve realists accept) that the kind of experience involved in hallucinating also occurs during perception, by arguing that there are causal constraints that must be met if an hallucinatory experience is to occur that are never met in perceptual cases. Notably, given this response, it turns out that, contra current orthodoxy, naïve realists need not adopt (...) any particular view about the psychological nature of hallucinatory experience to handle the screening off problem. Consequently, room opens up for naïve realists to endorse whatever theory of hallucinatory experience seems to best capture the distinctive nature of such episodes. (shrink)

The presented Research Topic explores the potential of citizen science to contribute to the development of social innovations. It sets the ground for analysis of mutual relations between two strong and embedded in the literature concepts: citizen science and social innovation. Simultaneously, the collection opens a discussion on how these two ideas are intertwined, what are the significant barriers, and the need to use citizen science for social innovation.

In my dissertation, I address a variety of issues in the metaphysics of space and related areas. I begin by discussing the popular thesis that regions of space are identical to sets of points in space. I present three arguments against this thesis and conclude that we should be skeptical of it. In its place, I propose an axiomatic theory of regions of space that is consistent with both reductive accounts of their nature and with accounts that treat them (...) as sui generis entities. -/- I next explore the consequences of the aforementioned considerations. In particular, I describe five different sorts of structure each of which is such that the claim that space could have that structure is consistent with the axiomatic theory previously proposed. I claim that this fact, together with the skepticism concerning reductive accounts argued for earlier, shows that we should take seriously the claim that space could have any of these structures. -/- Having argued that we should be skeptical of the thesis that regions of space are identical to sets of points in space and suggesting that space could have different sorts of structure, I discuss how best to analyze continuity. I present an analysis of continuity inspired by remarks of Richard Cartwright in his 1975 paper ‘Scattered Objects’. I argue that this Cartwrightian analysis should be rejected because it identifies regions of space with sets of points in space, and I present a modified version of the analysis that does not do so. I note, however, that there is an intuitive notion of continuity that is not captured by this modified Cartwrightian analysis. I present and defend an analysis of continuity that better captures this intuitive notion. -/- I then turn to the issue of how to analyze what it is for a region of space to be open and what it is for a region of space to be closed. Here I argue that Cartwright’s analyses of these notions are incorrect. I then present a series of alternative analyses, revising each in response to objections. This process culminates with my proposed analyses of what it is for a region of space to be open and what it is for a region of space to be closed. -/- Finally, I discuss the Maximally Continuous Account of Simples (MaxCon), originally formulated and defended by Ned Markosian in his 1998 paper ‘Simples’. I argue that Markosian’s version of MaxCon, which identifies regions of space with sets of points in space and relies on the Cartwrightian analysis of continuity, should be rejected. I then formulate a new version of MaxCon that builds on the views defended earlier in my dissertation and defend this new version of MaxCon from objections. (shrink)