Within collective epistemology, there is a class of theories that understand the epistemic status of collective attitude ascriptions, such as ‘the college union knows that the industrial action is going to plan’, or ‘the jury justifiedly believes that the suspect is guilty’, as saying that a sufficient subset of group member attitudes have the relevant epistemic status. In this paper, I will demonstrate that these summativist approaches to collective epistemology are incompatible with epistemic permissivism, the doctrine that a single body (...) of evidence may rationalize multiple doxastic attitudes. In particular, I will make use of epistemic permissivism to provide a general recipe for generating so-called divergence cases, which demonstrate situations in which rationality requires group-level and member-level attitudes to diverge. I will call this class of cases permissive divergence cases. While other divergence cases have been discussed in the literature, permissive divergence cases prove themselves to be less susceptible to many of the worries raised against their competitors, while being directly built on an often-defended epistemological thesis. (shrink)

We report the results of an exploratory study that examines the judgments of climate scientists, climate policy experts, astrophysicists, and non-experts (N = 3367) about the factors that contribute to the creation and persistence of disagreement within climate science and astrophysics and about how one should respond to expert disagreement. We found that, as compared to non-experts, climate experts believe that within climate science (i) there is less disagreement about climate change, (ii) methodological factors play less of a role in (...) generating disagreements, (iii) fewer personal or institutional biases influence climate research, and (iv) there is more agreement about which methods should be used to examine relevant phenomena we also observed that the uniquely American political context predicted experts’ judgments about some of these factors. We also found that, in regard to disagreements concerning cosmic ray physics, and commensurate with the greater inherent uncertainty and data lacunae in their field, astrophysicists working on cosmic rays were generally more willing to acknowledge expert disagreement, more open to the idea that a set of data can have multiple valid interpretations, and generally less quick to dismiss someone articulating a non-standard view as non-expert, than climate scientists were in regard to climate science. (shrink)

In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.

Public participation in scientific research has gained prominence in many scientific fields, but the theory of participatory research is still limited. In this paper, we suggest that the divergence of values and goals between academic researchers and public participants in research is key to analyzing the different forms this research takes. We examine two existing characterizations of participatory research: one in terms of public participants' role in the research, the other in terms of the virtues of the research. In our (...) view, each of these captures an important feature of participatory research but is, on its own, limited in what features it takes into account. We introduce an expanded conception of norms of collaboration that extends to both academic researchers and public participants. We suggest that satisfying these norms requires consideration of the two groups' possibly divergent values and goals, and that a broad characterization of participatory research that starts from participants' values and goals can motivate both public participants’ role in the research and the virtues of the research. The resulting framework clarifies the similarities and differences among participatory projects and can help guide the responsible design of such projects. (shrink)

The thesis of instrumental convergence holds that a wide range of ends have common means: for instance, self preservation, desire preservation, self improvement, and resource acquisition. Bostrom contends that instrumental convergence gives us reason to think that "the default outcome of the creation of machine superintelligence is existential catastrophe". I use the tools of decision theory to investigate whether this thesis is true. I find that, even if intrinsic desires are randomly selected, instrumental rationality induces biases towards certain kinds of (...) choices. Firstly, a bias towards choices which leave less up to chance. Secondly, a bias towards desire preservation, in line with Bostrom's conjecture. And thirdly, a bias towards choices which afford more choices later on. I do not find biases towards any other of the convergent instrumental means on Bostrom's list. I conclude that the biases induced by instrumental rationality at best weakly support Bostrom's conclusion that machine superintelligence is likely to lead to existential catastrophe. (shrink)

Structured around Charles S. Peirce's three-fold categorical scheme, this article proposes a comparative study of Ayn Rand and Peirce's realist views in general metaphysics. Rand's stance is seen as diverging with Peirce's argument from asymptotic representation but converging with arguments from brute relation and neutral category. It is argued that, by dismissing traditional subject-object dualisms, Rand and Peirce both propose iconoclastic construals of what it means to be real, dismissals made all the more noteworthy by the fact each chose to (...) ground them in indissoluble triads of self-evident first principles. (shrink)

Recent research on infant and animal imitation and on mirror neuron systems has
brought imitation back in focus in psychology and cognitive science. This topic has
always been important for philosophical hermeneutics as well, focusing on theory and
method of understanding. Unfortunately, relations between the scientific and the
hermeneutic approaches to imitation and understanding have scarcely been investigated,
to the loss of both disciplines. In contrast to the cognitive scientific emphasis on
sharing and convergence of representations, the hermeneutic analysis emphasizes the
indeterminacy and openness of action understanding (...) due to preunderstanding, action
configuration, and the processual nature of understanding. This article discusses empirical
evidence in support of these aspects and concludes that hermeneutics can
contribute to the scientific investigation of imitation and understanding. Since, conversely,
some grounding—and constraining—aspects of hermeneutics may be derived
from cognitive science, both should be integrated in a multilevel explanation of
imitation and understanding. This holds also for explanations that are largely based on
mirror neuron systems, since these appear to be sensitive to developmental and
experiential factors, too. (shrink)

Migration is a recurrent phenomenon of human history because it is a successful adaptive strategy of human beings. Although migration today is not of a greater magnitude than in the past, it attracts a great deal of media and academia attention. The present wave of non-Western immigrants into the United States and Europe caused, apart from myriad economic, social and political problems, an ideological dispute between globalism and right-wing populism. Both ideological approaches attract many zealots who spread extreme opinions and (...) poison the whole political life. Using the scholastic method, I examined some opposing points of view of globalists and right-wing populists on several topics regarding non-Western immigration: border control, illegal immigration, limitations of legal immigration, refugee relocation quotas and cultural integration of immigrants. The globalists’ and right-wing populists’ theses and arguments were checked in regard with established authorities, available factual data and human reason. Highlighting some important topics relating to immigration problem and weighing the main arguments used by globalists and right-wing populists, I also indicate several points of compromise that could help people to moderate their political opinions. (shrink)

This paper presents what the authors call the ‘divergence problem’ regarding choosing between different future possibilities. As is discussed in the first half, the central issue of the problem is the difficulty of temporally locating the ‘active cause’ on the modal divergent diagram. In the second half of this paper, we discuss the ‘second-person freedom’ which is, strictly, neither compatibilist negative freedom nor incompatibilist positive freedom. The divergence problem leads us to two hypothetical views (i.e. the view of single-line determination (...) and that of one-off chance), and these views bring humans closer to the afree side – i.e. outside of the contrast between being free and being unfree. The afree side is greatly different from the ordinary human side. This paper tries to secure the second-person freedom as a substitute for the ordinary human freedom while preventing the divergence problem from arising. (shrink)

Recent research on infant and animal imitation and on mirror neuron systems has brought imitation back in focus in psychology and cognitive science. This topic has always been important for philosophical hermeneutics as well, focusing on theory and method of understanding. Unfortunately, relations between the scientific and the hermeneutic approaches to imitation and understanding have scarcely been investigated, to the loss of both disciplines. In contrast to the cognitive scientific emphasis on sharing and convergence of representations, the hermeneutic analysis emphasizes (...) the indeterminacy and openness of action understanding due to preunderstanding, action configuration, and the processual nature of understanding. This article discusses empirical evidence in support of these aspects and concludes that hermeneutics can contribute to the scientific investigation of imitation and understanding. Since, conversely, some grounding—and constraining—aspects of hermeneutics may be derived from cognitive science, both should be integrated in a multilevel explanation of imitation and understanding. This holds also for explanations that are largely based on mirror neuron systems, since these appear to be sensitive to developmental and experiential factors, too. (shrink)

The extent to which individuals with a variety of cultural backgrounds differ in empathic responsiveness is unknown. This article describes the differences in trait empathy in one independent and one interdependent society (i.e., the US and Iran, respectively). The analysis of data collected from self-reported questionnaires answered by 326 adults indicated a significant difference in the cognitive component of empathy concerning participants’ affiliation to either egocentric or socio-centric society: Iranian participants with interdependent cultural norms, reported higher cognitive empathy compared to (...) American participants who share independent cultural norms. In line with previous studies, gender differences were observed in all subscales of questionnaires, except the Empathy Quotient (EQ). Female participants demonstrated more empathy than males in both samples. Implications for understanding the cross-cultural differences of various components of empathy are discussed. (shrink)

The Berlin Group was an equal partner with the Vienna Circle as a school of scientific philosophy, albeit one that pursued an itinerary of its own. But while the latter presented its defining projects in readily discernible terms and became immediately popular, the Berlin Group, whose project was at least as sig-nificant as that of its Austrian counterpart, remained largely unrecognized. The task of this chapter is to distinguish the Berliners’ work from that of the Vienna Circle and to bring (...) to light its impact in the history of scientific philosophy. (shrink)

In the past decade, policy-makers in science have been concerned with harmonizing research integrity standards across Europe. These standards are encapsulated in the European Code of Conduct for Research Integrity. Yet, almost every European country today has its own national-level code of conduct for research integrity. In this study we document in detail how national-level codes diverge on almost all aspects concerning research integrity – except for what constitutes egregious misconduct. Besides allowing for potentially unfair responses to joint misconduct by (...) international collaborations, we argue that the divergences raise questions about the envisaged self-regulatory function of the codes of conduct. (shrink)

In the latter half of the twentieth century, philosophers of science have argued (implicitly and explicitly) that epistemically rational individuals might compose epistemically irrational groups and that, conversely, epistemically rational groups might be composed of epistemically irrational individuals. We call the conjunction of these two claims the Independence Thesis, as they together imply that methodological prescriptions for scientific communities and those for individual scientists might be logically independent of one another. We develop a formal model of scientific inquiry, define four (...) criteria for individual and group epistemic rationality, and then prove that the four definitions diverge, in the sense that individuals will be judged rational when groups are not and vice versa. We conclude by explaining implications of the inconsistency thesis for (i) descriptive history and sociology of science and (ii) normative prescriptions for scientific communities. (shrink)

In this paper I provide a comparative analysis of Augustine's and Paul Tillich's doctrines of Original Sin. I argue that Augustine's doctrine is deeply flawed in ways corrected for by Tillich.

This article presents a simple derivation of optimization models for reaction networks leading to a generalized form of the mass-action law, and compares the formal structure of Minimum Information Divergence, Quadratic Programming and Kirchhoff type network models. These optimization models are used in related articles to develop and illustrate the operation of ontology alignment algorithms and to discuss closely connected issues concerning the epistemological and statistical significance of sharp or precise hypotheses in empirical science.

Attributions of certain speech-acts, like dog-whistling and wolf-crying, have an interesting complementary and antagonistic relationship that creates a kind of hostile dialectic and emergent divergence in political discourse. In the following, we will show how the wolf-cry and the dog-whistle are both epistemically difficult speech-acts to attribute, leading to asymmetric uncertainties in attribution. These uncertainties cause the attribution of wolf-cries and dog-whistles themselves to often be both reasonable but unconfirmable epistemic claims. Then, we will show how these patterns of attributions (...) can lead to a reciprocal dialectic of entrenched and self-amplifying dog-whistling versus wolf-crying, until an unhappy status quo is developed. This leads to a number of problems, including an epistemic standoff of standpoints, the attribution saturation of the political discourse, and a condition of self-defeating truth-seeking. Seemingly, the only surefire solution is a unanimous alleviation of such attributions, a standard that may seem insurmountable, though other options can be considered. (shrink)

Philosophers of biology have worked extensively on how we ought best to interpret the probabilities which arise throughout evolutionary theory. In spite of this substantial work, however, much of the debate has remained persistently intractable. I offer the example of Bayesian models of divergence time estimation as a case study in how we might bring further resources from the biological literature to bear on these debates. These models offer us an example in which a number of different sources of uncertainty (...) are combined to produce an estimate for a complex, unobservable quantity. These models have been carefully analyzed in recent biological work, which has determined the relationship between these sources of uncertainty, both quantitatively and qualitatively. I suggest here that this case shows us the limitations of univocal analyses of probability in evolution, as well as the simple dichotomy between “subjective” and “objective” probabilities, and I conclude by gesturing toward ways in which we might introduce more sophisticated interpretive taxonomies of probability as a path toward advancing debates on probability in the life sciences. (shrink)

We attribute three major insights to Hegel: first, an understanding of the real numbers as the paradigmatic kind of number ; second, a recognition that a quantitative relation has three elements, which is embedded in his conception of measure; and third, a recognition of the phenomenon of divergence of measures such as in second-order or continuous phase transitions in which correlation length diverges. For ease of exposition, we will refer to these three insights as the R First Theory, Tripartite Relations, (...) and Divergence of Measures. Given the constraints of space, we emphasize the first and the third in this paper. (shrink)

Conceptual Metaphor Theory makes some strong claims against so-called Classical Theory which spans the accounts of metaphors from Aristotle to Davidson. Most of these theories, because of their traditional literal-metaphorical distinction, fail to take into account the phenomenon of conceptual metaphor. I argue that the underlying mechanism for explaining metaphor bears some striking resemblances among all of these theories. A mapping between two structures is always expressed. Conceptual Metaphor Theory insists, however, that the literal-metaphorical distinction of Classical Theories is empirically (...) wrong. I claim that this criticism is based rather on terminological decisions than on empirical issues. Conceptual Metaphor Theory focusses primarily on conventional metaphors and struggles to extend its mechanism to novel metaphors, whereas Classical Theories focus on novel metaphors and struggle to extend their mechanisms to conventional metaphors. Since all of these theories study metaphors from the synchronic point of view, they are unable to take into account any semantic change. A diachronic perspective is what we need here, one which would allow us to explain the role of metaphor in semantic change and the development of language in general. (shrink)

The present research examined how nostalgia influences temporal self-appraisals and whether those appraisals relate to current mood. Across two studies, participants recalled either an ordinary or nostalgic memory and provided appraisals of their present and past selves. Participants who recalled nostalgic memories evaluated their past selves more positively than their present selves, whereas the reverse occurred for those who recalled ordinary memories. Those who recalled a positive future event also evaluated their future selves more positively than their present selves. Nostalgia (...) simultaneously enhanced positive mood by heightening favorable evaluations of past selves and diminished positive mood by heightening unfavorable evaluations of present selves. The current work supports a temporal-selves framework that allows for a more nuanced portrait of the nostalgic experience. (shrink)

This research looks at the various interpretations of "Mind" found in the Astika Darshanas, which cover the six main schools of Indian philosophy. At the same time, it looks into the profound East Asian Buddhist doctrine of One Mind as presented by Wonhyo, a great Korean Buddhist monk. This study seeks to identify the interesting similarities and differences that lie at the nexus of various philosophical domains by travelling through the complex landscape of different intellectual traditions. By using a comparative (...) approach, it aims to clarify the connections and distinguishing characteristics that form the conception of 'Mind' in both Korean Buddhist philosophy and the six schools of Indian philosophy, thereby advancing our understanding of the various philosophical currents that have influenced the intellectual fabric of these traditions. Focusing on the transmission and assimilation of Indian philosophical ideas into Buddhist philosophies, the research explores how these concepts were adapted and evolved as Buddhism spread across East Asian cultures. This research seeks to bridge these dissimilar contexts in order to reveal the interconnections of Indian and Korean philosophical traditions, contributing to a better understanding of the universal threads that connect these landscapes and highlighting the enduring resonance of fundamental concepts in the pursuit of enlightenment. (shrink)

The paper discusses a posthuman reading of Merleau-Ponty’s later works and an application of the concept of flesh to the digital dimension. Whereas, in the Phenomenology of Perception, the world and other beings are seen from an egological and human perspective, in The Visible and the Invisible this perspective is reshaped. Human body is made of the same stuff of other bodies, and they constitute a common being, the flesh of the world. Merleau-Ponty sets out a path through flat ontology (...) and posthumanism, opposing human perspective as a privileged one. His posthuman turn passes through the concepts of reversibility and divergence. Humans are made of the same stuff as non-humans, so they reverse into one another, but, on the other hand, they are not reduced to an undifferentiated entity, because of their divergence. Merleau-Ponty’s problematizing perspective is here actualized and applied to the hybridization between human bodies and digital protheses. (shrink)

A new computational methodology for executing calculations with infinite and infinitesimal quantities is described in this paper. It is based on the principle ‘The part is less than the whole’ introduced by Ancient Greeks and applied to all numbers (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). It is shown that it becomes possible to write down finite, infinite, and infinitesimal numbers by a finite number of symbols as particular cases of a unique framework. The (...) new methodology has allowed us to introduce the Infinity Computer working with such numbers (its simulator has already been realized). Examples dealing with divergent series, infinite sets, and limits are given. (shrink)

Human creativity generates novel ideas to solve real-world problems. This thereby grants us the power to transform the surrounding world and extend our human attributes beyond what is currently possible. Creative ideas are not just new and unexpected, but are also successful in providing solutions that are useful, efficient and valuable. Thus, creativity optimizes the use of available resources and increases wealth. The origin of human creativity, however, is poorly understood, and semantic measures that could predict the success of generated (...) ideas are currently unknown. Here, we analyze a dataset of design problem-solving conversations in real-world settings by using 49 semantic measures based on WordNet 3.1 and demonstrate that a divergence of semantic similarity, an increased information content, and a decreased polysemy predict the success of generated ideas. The first feedback from clients also enhances information content and leads to a divergence of successful ideas in creative problem solving. These results advance cognitive science by identifying real-world processes in human problem solving that are relevant to the success of produced solutions and provide tools for real-time monitoring of problem solving, student training and skill acquisition. A selected subset of information content (IC Sánchez–Batet) and semantic similarity (Lin/Sánchez–Batet) measures, which are both statistically powerful and computationally fast, could support the development of technologies for computer-assisted enhancements of human creativity or for the implementation of creativity in machines endowed with general artificial intelligence. (shrink)

An artwork in one culture and form, say European classical music, cannot be evaluated in the context of another, say Hindustani music. While a person educated in the traditions of European music can rationally evaluate and discuss her response to a string quartet by Beethoven, her response to music in a foreign culture is merely subjective. She might "like" the latter, but her response is merely subjective. In this paper, I discuss the role of artforms: why response can be "objectively" (...) discussed within artforms, but is nonetheless subjective across them. My discussion falls into two parts. First, I offer a psychological account of aesthetic response to art: cultural learning stabilizes this response across individuals who are educated in an artform. Second, I offer a cultural-evolutionary account of the diversity of artforms, adapting Darwin's Principle of the Divergence of Character to explain the multiplicity of art forms. (shrink)

This article proposes a new interpretation of mutual information. We examine three extant interpretations of MI by reduction in doubt, by reduction in uncertainty, and by divergence. We argue that the first two are inconsistent with the epistemic value of information assumed in many applications of MI: the greater is the amount of information we acquire, the better is our epistemic position, other things being equal. The third interpretation is consistent with EVI, but it is faced with the problem of (...) measure sensitivity and fails to justify the use of MI in giving definitive answers to questions of information. We propose a fourth interpretation of MI by reduction in expected inaccuracy, where inaccuracy is measured by a strictly proper monotonic scoring rule. It is shown that the answers to questions of information given by MI are definitive whenever this interpretation is appropriate, and that it is appropriate in a wide range of applications with epistemic implications. _1_ Introduction _2_ Formal Analyses of the Three Interpretations _2.1_ Reduction in doubt _2.2_ Reduction in uncertainty _2.3_ Divergence _3_ Inconsistency with Epistemic Value of Information _4_ Problem of Measure Sensitivity _5_ Reduction in Expected Inaccuracy _6_ Resolution of the Problem of Measure Sensitivity _6.1_ Alternative measures of inaccuracy _6.2_ Resolution by strict propriety _6.3_ Range of applications _7_ Global Scoring Rules _8_ Conclusion. (shrink)

A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with traditional methodologies studying (...) infinities and infinitesimals only symbolically. The grossone methodology uses the Euclid’s Common Notion no. 5 ‘The whole is greater than the part’ and applies it to finite, infinite, and infinitesimal quantities and to finite and infinite sets and processes. It does not contradict Cantor’s and non-standard analysis views on infinity and can be considered as an applied development of their ideas. In this paper we consider infinite series and a particular attention is dedicated to divergent series with alternate signs. The Riemann series theorem states that conditionally convergent series can be rearranged in such a way that they either diverge or converge to an arbitrary real number. It is shown here that Riemann’s result is a consequence of the fact that symbol ∞ used traditionally does not allow us to express quantitatively the number of addends in the series, in other words, it just shows that the number of summands is infinite and does not allows us to count them. The usage of the grossone methodology allows us to see that (as it happens in the case where the number of addends is finite) rearrangements do not change the result for any sum with a fixed infinite number of summands. There are considered some traditional summation techniques such as Ramanujan summation producing results where to divergent series containing infinitely many positive integers negative results are assigned. It is shown that the careful counting of the number of addends in infinite series allows us to avoid this kind of results if grossone-based numerals are used. (shrink)

A primary aim of mind-wandering research has been to understand its influence on task performance. While this research has typically highlighted the costs of mind wandering, a handful of studies have suggested that mind wandering may be beneficial in certain situations. Perhaps the most-touted benefit is that mind wandering during a creative-incubation interval facilitates creative thinking. This finding has played a critical role in the development of accounts of the adaptive value of mind wandering and its functional role, as well (...) as potential mechanisms of mind wandering. Thus, a demonstration of the replicability of this important finding is warranted. Here, we attempted to conceptually replicate results of a highly cited laboratory-based experiment supporting this finding. However, across two studies (N = 443), we found no evidence for the claim that mind wandering during a creative-incubation interval facilitates a form of creativity associated with divergent thinking. We suggest that our failed conceptual replication stems from an inadequate characterization of mind wandering (task-unrelated thought), and that there are good reasons to think that task-unrelated thought is unlikely to be causally related to creativity. Our results cast doubt on the claim that task-unrelated thought during an incubation interval enhances divergent creativity while also offering some prescriptions for how future research might further elucidate the cognitive benefits of mind wandering. (shrink)

This article mainly aims to make an examination over the holy. It has been inquired into how something being ascribed holy can have a meaning in philosophy. As the article's research area, the differences in both opinion and execution which have later divided Christianity into two as Catholic and Orthodox Churches have been selected. The separation of these two churches under the subject titles such as Filioque controversy, the idea of First Among Equals (primas inter pares), and ritual of Transubstantiation (...) have also shaped how they perceived and thought the holy. With these divergences being investigated, it has been tried to present how much of a share these had in giving meaning for the holy. It has been labored to manifest the role of these two Churches' -which belong to and come from the same celestial tradition- divergences in the metamorphosis and paradigm shift that the holy underwent. For the last, through the Church Fathers' opinions and views which have been seen related to subject matter, with moving beyond the divergences, it has been searched whether there is a possibility of meeting on the common ground or not . (shrink)

Our aim in this paper is to defend the reductionist (or deflationist) view on group testimony from the attacks of divergence arguments. We will begin by presenting how divergence arguments can challenge the reductionist view. However, we will argue that these arguments are not decisive to rule out the reductionist view; for, these arguments have false premises, assuming dubious epistemic principles that testimony cannot generate knowledge and understanding. The final part of this paper will be devoted to presenting the advantages (...) of the reductionist approach to explaining the phenomenon of group testimony. (shrink)

In this survey, a recent computational methodology paying a special attention to the separation of mathematical objects from numeral systems involved in their representation is described. It has been introduced with the intention to allow one to work with infinities and infinitesimals numerically in a unique computational framework in all the situations requiring these notions. The methodology does not contradict Cantor’s and non-standard analysis views and is based on the Euclid’s Common Notion no. 5 “The whole is greater than the (...) part” applied to all quantities (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). The methodology uses a computational device called the Infinity Computer (patented in USA and EU) working numerically (recall that traditional theories work with infinities and infinitesimals only symbolically) with infinite and infinitesimal numbers that can be written in a positional numeral system with an infinite radix. It is argued that numeral systems involved in computations limit our capabilities to compute and lead to ambiguities in theoretical assertions, as well. The introduced methodology gives the possibility to use the same numeral system for measuring infinite sets, working with divergent series, probability, fractals, optimization problems, numerical differentiation, ODEs, etc. (recall that traditionally different numerals lemniscate; Aleph zero, etc. are used in different situations related to infinity). Numerous numerical examples and theoretical illustrations are given. The accuracy of the achieved results is continuously compared with those obtained by traditional tools used to work with infinities and infinitesimals. In particular, it is shown that the new approach allows one to observe mathematical objects involved in the Hypotheses of Continuum and the Riemann zeta function with a higher accuracy than it is done by traditional tools. It is stressed that the hardness of both problems is not related to their nature but is a consequence of the weakness of traditional numeral systems used to study them. It is shown that the introduced methodology and numeral system change our perception of the mathematical objects studied in the two problems. (shrink)

Despite its pertinence to every field of study, no systematic theory exists for the exploration of the unknown world of new knowledge. In order to construct such a theory, this paper draws on the unique and highly refined principles of military strategy, in the process demonstrating the universal applicability of such principles and developing an effective analogy for the process of research. Such principles include diverging advance, converging attack, and selecting the superior and eliminating the inferior. In seeking further discoveries, (...) one should search for more possibilities, attack more aims, and confound the front line. The theory presented in this paper is also a means to further the unification of science. For no matter what the individuals look like, (soldiers, particles, cells, consumers, producers, stockholders, or concepts), what they pursue, (victory, negative action, viability, pleasure, profit, investment return, or knowledge), or what relationship exists between opponents, (hostile, mysterious, adaptive, reciprocal, cooperative, or explanatory), the result is always an unknown world in which individuals are exploring. It is reasonable to suppose that the exploration of the unknown world is a common property among individuals. (shrink)

This paper considers the place of reasons in the metaphysics of epistemic normativity and defends a middle ground between two popular extremes in the literature. Against members of the ‘reasons first’ movement, we argue that reasons are not the sole fundamental constituents of epistemic normativity. We suggest instead that the virtue-theoretic property of competence is the key building block. To support this approach, we note that reasons must be possessed to play a role in the analysis of central epistemically normative (...) properties, and argue that the relation of possession must be analyzed in terms of competence. But while we diverge with reasons-firsters on this score, we also distance ourselves from those who deny reasons any important role in epistemology. For we maintain that possessed reasons do help to ground deontic facts in the epistemic domain (e.g., facts about what one epistemically ought to believe, may believe, or is justified in believing). Indeed, we present an argument that the possession of sufficient epistemic reasons is necessary and sufficient for propositional justification, and that proper basing on such reasons yields doxastic justification. But since possession and proper basing are themselves grounded in competence, reasons are not the end of the explanatory road: competence enables them to do their work, putting them—and us—in the middle. (shrink)

Cartesians and Lichtenbergians have diverging views of the deliverances of introspection. According to the Cartesians, a rational subject, competent with the relevant concepts, can come to know that he or she thinks – hence, that he or she exists – on the sole basis of his or her introspective awareness of his or her conscious thinking. According to the Lichtenbergians, this is not possible. This paper offers a defence of the Lichtenbergian position using Peacocke and Campbell's recent exchange on Descartes'scogitoas (...) a framework for discussion. A thought-experiment will be presented involving two communities with radically different conceptions of the metaphysics of the self. The purpose of the thought-experiment is to suggest that a substantive metaphysical thesis, whose truth cannot be a priori known, is presupposed by any justified transition from one's introspective awareness of a certain mental activity to the self-ascription of that activity. (shrink)

Despite their divergent metaphysical assumptions, Reformed and evolutionary epistemologists have converged on the notion of proper basicality. Where Reformed epistemologists appeal to God, who has designed the mind in such a way that it successfully aims at the truth, evolutionary epistemologists appeal to natural selection as a mechanism that favors truth-preserving cognitive capacities. This paper investigates whether Reformed and evolutionary epistemological accounts of theistic belief are compatible. We will argue that their chief incompatibility lies in the noetic effects of sin (...) and what may be termed the noetic effects of evolution, systematic tendencies wherein human cognitive faculties go awry. We propose a reconceptualization of the noetic effects of sin to mitigate this tension. (shrink)

Scientists often diverge widely when choosing between research programs. This can seem to be rooted in disagreements about which of several theories, competing to address shared questions or phenomena, is currently the most epistemically or explanatorily valuable—i.e. most successful. But many such cases are actually more directly rooted in differing judgments of pursuit-worthiness, concerning which theory will be best down the line, or which addresses the most significant data or questions. Using case studies from 16th-century astronomy and 20th-century geology and (...) biology, I argue that divergent theory choice is thus often driven by considerations of scientific process, even where direct epistemic or explanatory evaluation of its final products appears more relevant. Broadly following Kuhn’s analysis of theoretical virtues, I suggest that widely shared criteria for pursuit-worthiness function as imprecise, mutually-conflicting values. However, even Kuhn and others sensitive to pragmatic dimensions of theory ‘acceptance’, including the virtue of fruitfulness, still commonly understate the role of pursuit-worthiness—especially by exaggerating the impact of more present-oriented virtues, or failing to stress how ‘competing’ theories excel at addressing different questions or data. This framework clarifies the nature of the choice and competition involved in theory choice, and the role of alternative theoretical virtues. (shrink)

Amidst the broad divergence in opinion of philosophers and scientists at understanding reality that has lent character to the historical epochs of the Philosophical enterprise, the crucial realization has always been, of the necessity of Epistemology in our entire program of making inquiry into ‘What Is’. This realization seems born out of the erstwhile problem of knowing. Epistemology, which investigates the nature, sources, limitations and validating of knowledge, offers a striking challenge here. Since we have no direct access to our (...) world around us, outside of the subjective experience offered us by our senses, we are handicapped at making comparisons of our beliefs with a concrete world, out there, or with elements of the world. Our statements about the world seem to stand alone, buffeted against the intimidating tide of possible contradicting circumstances. Our putative claims to knowledge, therefore, face the exigency of justification. Ayer, expressing the urgency of resolving this persisting lacuna, provides an alternative criterion of knowing, as ‘having the right to be sure’. Thus, it is this deep-seated concern that has evolved, over time, to become the primary thrust of the project of Epistemology, raising the controversy over which, of Epistemology or Metaphysics, is to be accorded the prime status of first philosophy. However, Aquinas is wise to build his epistemological premise on a firm metaphysical support, clarifying the needed development from being to knowledge. For, being has to first exist to constitute the object of perception, belief, and knowledge. Accordingly, our exposition of Aquinas’ epistemology will first take a cursory look at the theoretical and historical background to Aquinas’ Philosophy, before offering a general characterization of his theory of knowledge. Then, the paper will discuss his concept of sense perception as a basis for all knowing, followed closely by an analysis of cognition and Scientia. (shrink)

Statements such as “X is beautiful but I don’t like how it looks” or “I like how X looks but it is not beautiful” sound contradictory. How contradictory they sound might however depend on the object X and on the aesthetic adjective being used (“beautiful”, “elegant”, “dynamic”, etc.). In our study, the first sentence was estimated to be more contradictory than the latter: If we describe something as beautiful, we often intend to evaluate its appearance, whereas it is less counterintuitive (...) to appreciate an appearance without finding it beautiful. Furthermore, statements including “beautiful” appeared more contradictory than those including “elegant” and “dynamic”, pointing to its greater evaluative component. When related to artworks, sentences could appear less contradictory due to readers’ consideration of the divergence between conventional beauty and art-related sensory pleasures that can even include negative valence. Such ambivalence might be more frequent in art-objects than in other artefacts. Indeed, in our study, sentences referring to artworks were estimated to be less contradictory compared to sentences referring to other artefacts. Meanwhile, an additional small group of graphic design students showed a less clear difference between art-related and non-art-related sentences. We discuss the potential influence of art experience and interest as well as theoretical and methodological challenges like the conceptualization of beauty. (shrink)

Humeanism about laws of nature — the view that the laws reduce to the Humean mosaic — is a popular view, but currently existing versions face powerful objections. The non-supervenience objection, the non-fundamentality objection and the explanatory circularity objection have all been thought to cause problems for the Humean. However, these objections share a guiding thought — they are all based on the idea that there is a certain kind of divergence between the practice of science and the metaphysical picture (...) suggested by Humeanism. -/- I suggest that the Humean can respond to these objections not by rejecting this divergence, but by arguing that is appropriate. In particular the Humean can, in the spirit of Loewer (2012), distinguish between scientific and metaphysical explanation — this is motivated by differing aims of explanation in science and metaphysics. And they can further leverage this into distinctions between scientific and metaphysical fundamentality and scientific and metaphysical possibility. We can use these distinctions to respond to the objections that the Humean faces. (shrink)

Supererogatory acts are those that lie “beyond the call of duty.” There are two standard ways to define this idea more precisely. Although the definitions are often seen as equivalent, I argue that they can diverge when options are infinite, or when there are cycles of better options; moreover, each definition is acceptable in only one case. I consider two ways out of this dilemma.

In disagreements about trivial matters, it often seems appropriate for disputing parties to adopt a ‘middle ground’ view about the disputed matter. But in disputes about more substantial controversies (e.g. in ethics, religion, or politics) this sort of doxastic conduct can seem viciously acquiescent. How should we distinguish between the two kinds of cases, and thereby account for our divergent intuitions about how we ought to respond to them? One possibility is to say that ceding ground in a trivial dispute (...) is appropriate because the disputing parties are usually epistemic peers within the relevant domain, whereas in a more substantial disagreement the disputing parties rarely, if ever, qualify as epistemic peers, and so ‘sticking to one’s guns’ is usually the appropriate doxastic response. My aim in this paper is to explain why this way of drawing the desired distinction is ultimately problematic, even if it seems promising at first blush. (shrink)

When does a group justifiedly believe that p? One answer to this question has been developed first by Schmitt and then by Hakli: when the group members jointly accept a reason for the belief. Call this the joint acceptance account of group justification. Their answer has great explanatory power, providing us with a way to account for cases in which the group's justification can diverge from the justification individual members have. Unfortunately, Jennifer Lackey developed a powerful argument against joint acceptance (...) accounts. She argues that these accounts lead to epistemically arbitrary reasons and therefore justification at will. Group justification loses the necessary connection to the world to be truth-conducive. In this paper I develop a new form of a joint acceptance account that can deal with Lackey's examples: the anchored joint acceptance account of group justification. I argue that properly understanding the role of epistemic expectations can help us form the best version of a joint acceptance account. While justification is only generated by joint acceptance of evidence, the evidential expectations towards a group are anchored in the group members. This anchoring guarantees that groups cannot manipulate their ultima facie justification illegitimately. (shrink)

This research employs the Bayesian network modeling approach, and the Markov chain Monte Carlo technique, to learn about the role of lies and violence in teachings of major religions, using a unique dataset extracted from long-standing Vietnamese folktales. The results indicate that, although lying and violent acts augur negative consequences for those who commit them, their associations with core religious values diverge in the final outcome for the folktale characters. Lying that serves a religious mission of either Confucianism or Taoism (...) (but not Buddhism) brings a positive outcome to a character (βT_and_Lie_O= 2.23; βC_and_Lie_O= 1.47; βT_and_Lie_O= 2.23). A violent act committed to serving Buddhist missions results in a happy ending for the committer (βB_and_Viol_O= 2.55). What is highlighted here is a glaring double standard in the interpretation and practice of the three teachings: the very virtuous outcomes being preached, whether that be compassion and meditation in Buddhism, societal order in Confucianism, or natural harmony in Taoism, appear to accommodate two universal vices—violence in Buddhism and lying in the latter two. These findings contribute to a host of studies aimed at making sense of contradictory human behaviors, adding the role of religious teachings in addition to cognition in belief maintenance and motivated reasoning in discounting counterargument. (shrink)

We live in a world saturated in both racial and gendered divisions. Our focus is on one place where attitudes about these divisions diverge: language. We suspect most everyone would be horrified at the idea of adding race-specific pronouns, honorifics, generic terms, and so on to English. And yet gender-specific terms of the same sort are widely accepted and endorsed. We think this asymmetry cannot withstand scrutiny. We provide three considerations against incorporating additional race-specific terms into English, and argue that (...) these considerations also support eliminating the analogous gender-specific terms. With respect to these parts of speech, English should be no more gender-specific than it already is race-specific. (shrink)

A patient is diagnosed with the persistent vegetative state (PVS) when they show no evidence of the awareness of the self or the environment for an extended period of time. The chance of recovery of any mental function or the ability to interact in a meaningful way is low. Though rare, the condition, considering its nature as a state outwith the realm of the conscious, coupled with the trauma experienced by the patient's kin as well as health care staff confronted (...) with painful decisions regarding the patient's care, has attracted a considerable amount of discussion within the bioethics community. At present, there is a wealth of literature that discusses the relevant neurology, that elucidates the plethora of ethical challenges in understanding and dealing with the condition, and that analyses the real-world cases which have prominently featured in the mainstream media as a result of emotionally charged, divergent views concerning the provision of care to the patient. However, there is scarcely anything in the published scholarly literature that proposes concrete and practically actionable solutions to the now widely recognized moral conundrums. The present article describes a step in that direction. I start from the very foundations, laying out a sentientist approach which serves as the basis for the consequent moral decision-making, and then proceed to systematically identify and deconstruct the different cases of discord, using the aforementioned foundations as the basis for their resolution. A major intellectual contribution concerns the fluidity of the duty of care which I argue is demanded by the sentientist focus. The said duty is shown initially to have for its object the patient, which depending on the circumstances, can change to the patient's kin, or the health care staff themselves. In conclusion, the proposed framework represents the first comprehensive proposal regarding the decision-making processes involved in the deliberation on the provision of life sustaining treatment to a patient in a PVS. (shrink)

This study explores entrepreneurship research in Vietnam, a lower-middle-income country in Southeast Asia that has witnessed rapid economic growth since the 1990s but has nonetheless been absent in the relevant Western-centric literature. Using an exclusively developed software, the study presents a structured dataset on entrepreneurship research in Vietnam from 2008 to 2018, highlighting: low research output, low creativity level, inattention to entrepreneurship theories, and instead, a focus on practical business matters. The scholarship remains limited due to the detachment between the (...) academic and entrepreneur communities. More important are the findings that Vietnamese research on entrepreneurship, still in its infancy, diverges significantly from those in developed and emerging economies in terms of their content and methods. These studies are contextualized to a large extent to reflect the concerns of a developing economy still burdened by the high financial and nonfinancial costs. (shrink)

Martin Heidegger devotes extensive discussion to medieval philosophers, particularly to their treatment of Truth and Being. On both these topics, Heidegger accuses them of forgetting the question of Being and of being responsible for subjugating truth to the modern crusade for certainty: ‘truth is denied its own mode of being’ and is subordinated ‘to an intellect that judges correctly’. Though there are some studies that discuss Heidegger’s debt to and criticism of medieval thought, particularly that of Thomas Aquinas, there is (...) no constructive reply to his assertions. As a result, Heidegger’s critique had an unprecedented effect on the credibility of medieval philosophy, whereby great portions of the philosophical community dismiss it altogether as an illegitimate Onto‐Theology. It is the aim of this study to offer a constructive reply that will fundamentally grapple with these allegations. By constructive reply we mean not only a reply that avoids the problems Heidegger raises regarding existence, essence and truth, but more importantly, one that uses Heidegger’s criticism in order to present a more insightful account of these notions. The present study is composed of two parts where the second serves as a sort of addendum. The first part, the core of this study, is an attempt to develop an understanding of the distinction between essence and existence that, on the one hand, accords with Heidegger’s criticism while on the other hand advances our understanding of how we think and understand reality. After presenting Heidegger’s depiction of Aquinas’s distinction between essence and existence (esse) as a real distinction, the study will present several views propounded by scholars of Aquinas regarding the status of this distinction. It will be argued that it is not clear whether the distinction is real, formal or conceptual, and that different types of distinction are applied in different places, particularly in regard to the phantasm that Aquinas considers essential to the human act of thinking. The second part diverges from the first part and focuses on Heidegger’s criticism of Aquinas’s conception of truth as adequation, i.e., what it is that grounds the possibility of truth as adequation. This divergence is necessary in order to present a full metaphysical response to Heidegger’s criticism. Since the aim of the present study is to argue that Aquinas’s philosophical system can contend with Heidegger’s criticism, a partial reply would greatly diminish its effectiveness. (shrink)

Contemporary theories of consciousness are based on widely different concepts of its nature, most or all of which probably embody aspects of the truth about it. Starting with a concept of consciousness indicated by the phrase “the feeling of what happens” (the title of a book by Antonio Damásio), we attempt to build a framework capable of supporting and resolving divergent views. We picture consciousness in terms of Reality experiencing itself from the perspective of cognitive agents. Each conscious experience is (...) regarded as composed of momentary feeling events that are combined by recognition and evaluation into extended conscious episodes that bind cognitive contents with a wide range of apparent durations (0.1 secs to 2 or more secs, for us humans, depending on circumstances and context). Three necessary conditions for the existence of consciousness are identified: a) a ground of Reality, envisaged as an universal field of potentiality encompassing all possible manifestations, whether material or 'mental'; b) a transitional zone, leading to; c) a manifest world with its fundamental divisions into material, 'informational' and quale-endowed aspects. We explore ideas about the nature of these necessary conditions, how they may relate to one another and whether our suggestions have empirical implications. (shrink)

In his groundbreaking work of 1969, Spinoza's Metaphysics: An Essay in Interpretation, Edwin Curley attacked the traditional understanding of the substance-mode relation in Spinoza, which makes modes inhere in the substance. Curley argued that such an interpretation generates insurmountable problems, as had been already claimed by Pierre Bayle in his famous entry on Spinoza. Instead of having the modes inhere in the substance Curley suggested that the modes’ dependence upon the substance should be interpreted in terms of (efficient) causation, i.e., (...) as committing Spinoza to nothing over and above the claim that the substance is the (efficient) cause of the modes. These bold and fascinating claims generated one of the most important scholarly controversies in Spinoza scholarship of the past thirty-five years. In this chapter I argue against Curley’s interpretation and attempt to reestablish the traditional understanding of Spinozistic modes as inhering in God and as predicated of God. I also criticize Curley’s philosophical motivation for suggesting this interpretation. I do believe, however, that Curley is right about the existence of an intimate connection between the substance-mode relation and causation in Spinoza. In the next chapter I will study the notion of ‘immanent cause’, which merges efficient causality and inherence. I will clarify the relation between immanent, efficient and material causation, and show where precisely Spinoza diverged from the traditional Aristotelian taxonomy of causes. In the second chapter I also discuss the German Idealists’ view of Spinoza as an ‘acosmist’. Under this interpretation Spinoza was a modern reviver of Eleatic monism, who allegedly asserts the mere existence of God, and denies the reality of the world of particular things. Spinozistic modes - according to this reading - are nothing but passing and unreal phenomena. Though this view of Spinoza as an ‘acosmist’ can be supported by some lines in Spinoza’s thought, I believe it should be rejected since it is not consistent with some of the most central doctrines of the Ethics. In the final part of the second chapter I discuss the relation between modes and the attributes under which they fall, and suggest a terminological distinction between a ‘mode of God’ (i.e., a mode under all attributes) and a ‘mode of an attribute’ (i.e., a mode under a specific attribute), a distinction which can help us avoid some common confusions in the treatment of the issue. (shrink)