This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and (...) neutrosophic symmetry, as well as their applications in the real world. (shrink)

What does it look like when a group of scientists set out to re-envision an entire field of biology in symbolic and formal terms? I analyze the founding and articulation of Numerical Taxonomy between 1950 and 1970, the period when it set out a radical new approach to classification and founded a tradition of mathematics in systematic biology. I argue that introducing mathematics in a comprehensive way also requires re-organizing the daily work of scientists in the field. Numerical taxonomists sought (...) to establish a mathematical method for classification that was universal to every type of organism, and I argue this intrinsically implicated them in a qualitative re-organization of the work of all systematists. I also discuss how Numerical Taxonomy’s re-organization of practice became entrenched across systematic biology even as opposing schools produced their own competing mathematical methods. In this way, the structure of the work process became more fundamental than the methodological theories that motivated it. (shrink)

What is attention? On one influential position, attention constitutively is the selection of some stimulus for coupling with a response. Wayne Wu has proposed a master argument for this position that relies on the claim that cognitive science commits to an empirical sufficient condition (ESC), according to which, if a subject S perceptually selects (or response-couples) X to guide performance of some experimental task T, she therein attends to X. In this paper I show that this claim about cognitive science (...) is false. Cognitive science allows for inattentive selection-for-task, or inattentive response-coupling. This means that Wu’s account is without independent support. (shrink)

A fundamental question in the psychological sciences is the degree to which culture shapes core cognitive processes — perhaps none more foundational than how we perceive the world around us. A dramatic and oft-cited “case study” of culture’s power in this regard is the Müller-Lyer illusion, which depicts two lines of equal length but with arrowheads pointing either inward or outward, creating the illusion that one line is longer than the other. According to a line of research stretching back over (...) a century, depending on the society you were raised in (and how much carpentry you were exposed to), you may not see the illusion at all — an ambitious and influential research program motivating claims that seemingly basic aspects of visual processing may actually be “culturally evolved byproducts”. This Cultural Byproduct Hypothesis bears on foundational issues in the science, philosophy, and sociology of psychology, and remains popular today. Yet, here we argue that it is almost certainly false. We synthesize evidence from diverse fields which demonstrate that: (1) the illusion is not limited to humans, appearing in non-human animals from diverse ecologies; (2) the statistics of natural scenes are sufficient to capture the illusion; (3) the illusion does not require straight lines typical of carpentry (nor even any lines at all); (4) the illusion arises in sense modalities other than vision; and (5) the illusion arises even in congenitally blind subjects. Moreover, by reexamining historical data and ethnographic descriptions from the original case studies, we show that the evidence for cultural variation and its correlation with key cultural variables is in fact highly inconsistent, beset by questionable research practices, and misreported by later discussions. Together, these considerations undermine the most popular and dramatic example of cultural influence on perception. We further extend our case beyond this phenomenon, showing that many of these considerations apply to other visual illusions as well, including similarly implicated visual phenomena such as the Ebbinghaus, Ponzo, Poggendorf, and Horizontal-Vertical illusions. We conclude by outlining future approaches to cross-cultural research on perception, and we also point to other potential sources of cultural variation in visual processing. (shrink)

In his article Banicki proposes a universal model for all forms of philosophical therapy. He is guided by works of Martha Nussbaum, who in turn makes recourse to Aristotle. As compared to Nussbaum’s approach, Banicki’s model is more medical and less based on ethical argument. He mentions Foucault’s vision to apply the same theoretical analysis for the ailments of the body and the soul and to use the same kind of approach in treating and curing them. In his interpretation (...) of philosophical therapy, there are, however, some controversial issues, to which we would like to call attention: -/- Is restoring health by a philosophical method of treatment – health understood as a person’s ability to reach his/her vital goals – a convincing explication of philosophical therapy in general? In order to answer this question, it may be useful to look at Plato. It is not only Platonism (and especially Neo-platonism since Plotinus) that questions the idea that therapy is necessarily connected with „vital goals“. Buddhist and Gnostic philosophies are questioning „the vital“ in general. The immense effort in the history of philosophy to liberate the mind from the body casts doubt on the project to explain philosophical therapy solely in analogy to medical therapy. -/- According to Banicki a therapeutic philosophy has to identify the diseases it attempts at curing. There are, however, reasons for associating the term therapy with suffering/risk rather than disease. If a therapy aims at reducing the fear of death, as for example many classical philosophical therapies do, then there is no disease to be cured. A model based on chances and risks also has the advantage that the Buddhist and Stoic reinterpretation of desires/emotions as “diseases” can be dropped in contemporary philosophical therapy. -/- Banicki mentions the comparison of therapies as one of the primary goals of modelling. Methods should be verified by a statistical correlation between method and therapeutic success and/or by a theory which justifies the method. Some forms of therapies, however, avoid theory-specific terms and concepts in favor of an unprejudiced interpretation of the patient’s statements. Others share the (Nietzschean) aspiration to explore and change measures of value. If the therapeutic process is seen as a unique phenomenon, then there can be no theory and no statistics with co-occurrences. -/- According to Banicki philosophical therapy has to describe techniques which qualify as genuinely philosophical. Techniques like maieutics and hermeneutics, however, are antique philosophical “inventions”, which were later adopted by psychotherapy. If meditation is accepted as a therapeutic tool – as it was in ancient times – then there is not only a methodical but also an emotional relation to religion. If finally, the Socratic search for a good life is seen as one of the characteristics of philosophical therapy, then delimitation even turns into a criterion for non-philosophical therapies. The search for a good life requires an interdisciplinary approach. -/- For the concretization of the formal structure, we suggest a typology of therapies, which is based on chances and risks. Such a typology has the advantage, that it can model conflicting (and even opposing) forms of therapies. The variety of therapeutic goals and methods is a consequence of the historical development towards conceptual freedom. (shrink)

Besides being the title of an EP by The (International) Noise Conspiracy, “Bigger cages, longer chains!” is an anarchist rallying cry. It’s meant to ridicule those political activists who compromise their ideals, make demands and then settle for partial concessions or, to put it bluntly, bargain with the Man. In the T.V. series Mr. Robot, Christian Slater plays the anarchist leader of a hacktivist group known as fsociety. Mr. Robot won’t negotiate with the FBI and E(vil) Corp for bigger cages (...) and longer chains. He tells Elliot Anderson, the young cybersecurity expert and hacker, “We live in a kingdom of bullshit!” Victory over the tyranny of corporations and states requires radical means to achieve radical ends. Mr. Robot wants freedom without limits, total liberation from corporate and statist control, and the opportunity to live in a world without bullshit. Mr. Robot’s objective is to free citizens of first-world nations from the cages of consumer debt and citizens of third-world nations from the shackles of extreme poverty. Meeting half-way will not do. So what are the inspirations for Mr. Robot’s hacktivist philosophy? The most proximate sources are David Graeber’s anarchism, which also influenced the Occupy Wall Street movement, and the hacktivist group Anonymous’s moralfaggery, that is, the policy of some of its members to use collective computer hacking to serve the greater good. Candidates for more remote sources are Marxism and pragmatism; the former, a blueprint for freeing the working class from their bourgeois oppressors; the latter, a philosophy of action, intelligent inquiry and democratic reform. Some might object that pragmatism is too conventional to be compatible with the radical ideas that motivate Mr. Robot’s worldview. Hacktivism demands action, not mere thinking! But any organized social-political movement requires a well-thought-out plan as well as a vision of what its participants hope to achieve. Since pragmatism is a philosophy of action and reform, it’s possible that Mr. Robot is a closet pragmatist! (shrink)

Abstract: The study aimed to identify the reality of the application of strategic agility in the Palestinian civil organizations in Gaza Strip, and the concept of strategic agility has included a number of areas which are (strategic sensitivity, clarity of vision, choice of strategic goals, rapid response, joint responsibility, taking actions, core capabilities) and the study used An analytical descriptive approach, and the questionnaire as a main tool for collecting data from the employees of the associations operating in the (...) governorates of Gaza Strip. The relative weight of the strategic agility scale reached (79.04 %), and there were statistically significant differences in the dimensions of the measure due to the gender variable in the dimensions of strategic agility (strategic sensitivity, clarity of vision, choice of strategic goals, rapid response, and taking measures) and the differences were in favor of females . While there were no statistically significant differences in my dimension (shared responsibility, core capabilities) attributable to the gender variable, there were no statistically significant differences between the mean dimensions of strategic agility due to the age group variable, the educational qualification, and the study presented a set of recommendations, the most important of which are: the necessity of seeking civil organizations In Gaza Strip, by obtaining funding from external countries in order to provide associations with self-income to face crises and give them independence in order to preserve them in order to play their role in society, the need to follow up on the strategic plan for NGOs using electronic messages where It paves the way to reach excellence and creativity in the field of work, the need to hold meetings and workshops with the local community and this helps them to define the needs of society. (shrink)

The study aimed to identify creative behavior and its impact on achieving Lean strategy in Palestinian civil organizations. The study used the descriptive analytical approach and the questionnaire as a main tool for collecting data from employees of associations operating in the governorates of Gaza Strip. The cluster sample method was used and the sample size was (343) individuals. Retrieving (298) questionnaires, and the following results were reached: The relative weight of the measure of Lean strategy was 79.04 (%), and (...) the relative weight of the measure of creative behavior was 78.99 (%), and there was a statistically significant relationship between creative behavior and Lean strategy, and the presence of an effect of creative behavior on Achieving Lean strategy, the absence of statistically significant differences in creative behavior according to the gender variable, age group, educational qualification, specialization, and the presence of statistically significant differences in Lean strategy attributable to the gender variable in dimensions (strategic sensitivity, clarity of vision, choice of strategic goals, Response speed, action) and differences were in favor of females. While there were no statistically significant differences in my dimension (shared responsibility, core capabilities) due to the gender variable, there were no statistically significant differences between the mean dimensions of Lean strategy due to the age group variable, the educational qualification, and the study presented a set of recommendations, the most important of which are: the necessity of seeking civil organizations In Gaza Strip, by obtaining funding from external countries to provide self-income for associations to face crises and give them independence in order to preserve them to carry out their role in society, the need to work to follow up on the strategic plan for NGOs using electronic messages as they pave the way to reach excellence and creativity in the field of work, The necessity of holding meetings and workshops with the local community, and this helps them to define the community's needs. (shrink)

Faced with enormous unemployment, the South African government enacted pro-SMME policies. It was assumed that such policies would ignite broad-based growth within the SMMEs cluster, regardless of the sector. However, the current evidence suggests that these laudable efforts have not benefited the poorest of the poor nor have they aroused and sustained entrepreneurship in certain quarters. Using the spaza shop as the focus and two prominent townships as the locus, this paper sought to understand the factors that under mind the (...) effective startup of businesses by natives. Furthermore, it identified the support structures that can foster and sustain new firm births. Leaning on the exploratory and descriptive research design, the quantitative research approach was enforced through self-administered questionnaires. The data collected was captured and analysed using the Statistical Package for the Social Sciences (SPSS) software, and was based on 121 fully completed questionnaires. A number of challenges unique to native spaza shops were conceded. These included a restricted access to seed capital, inability to benefit from bulk purchases, competition from non-South African shops, lack of business information, unsuitable business location, and the lack of collateral. The customarily challenges included a high level of crime, high cost of security and limited management skills. To encourage and sustain, new firm births, firstly, spaza shop-owners must have a clear vision of what they want to achieve before they embark on the venture. Secondly, crime must be dealt with collectively. Thirdly, government agencies and the private sector must come on board to address the skills gap. Lastly, technology should be adopted, to mitigate the issues around bulk purchases and transport costs. (shrink)

Imam Hatip schools (religious vocational schools) in Turkey have been taught teaching Arabic for many years. However, the objectives of learning Arabic have not yet been realized. The Education Council of the Ministry of Education prepares educational plans and programs for Arabic lessons in order to increase the quality of Arabic language teaching, the first of these programs was in 1973. This research is a field study carried out in 2016 on how to implement the educational programs prepared in 2011 (...) for Arabic lessons in Imam Hatip schools, and the problems facing the teacher in practical reality. The scope of the research is limited to Tekirdağ Anadolu Religious High School for boys, Süleymanpaşa Anadolu Religious High School for girls, Süleymanpaşa Religious Secondary school, and the teachers working in these schools. The research was based on the views of those educators as to how the educational programmes for Arabic lessons and the problems they faced during their exercise were implemented. The research was formulated through interviews with teachers. The results of the research according to the data received from the teachers were processed in the statistical program SPSS and then converted to frequency values and percentage values. These values were presented in tabular form. As a result of the findings, it was seen that most of the teachers did not read the Arabic lesson teaching program they were practicing, and they were unaware of the program’s vision, approach and goals; and they did not understand the program’s approach, vision, and objectives. Moreover, it was understood that the minds of the teachers were not clear about whether the Arabic language was a foreign language lesson or a religious vocational lesson, that the teaching practices and behaviors of teachers are incompatible with the educational program and they also had one view that the goals of the Arab lesson were largely unfulfilled. After the main results have been revealed and discussed, finally, following the disputed results, some suggestions were made to increase the quality of teaching Arabic such as making Arabic an effective, active and influential element in the lives of students and teachers through various awards and scholarships and the examination of Arabic as a foreign language in the university entrance examinations as an element of motivation and quality. In addition, in order to improve the quality of the Arabic teacher, we have made the Arabic exams as periodic, an increase in salaries according to the teachers’ receivables score, the continuation of in-service trainings, etc. (shrink)

Holistic wellness is vital to sustaining sound mind and healthy body of third-agers. These individuals are considered vulnerable. Previous surveys indicated limited wellness activities among third agers. With this, an extension project was designed and implemented to address this concern. This paper evaluated the impact of the project on the holistic wellness of third-agers and determined its contribution to national and international goals. The result chain framework was used to identify the impact. It gathered data through survey tools and interviews (...) supported by annual reports. Data were analyzed using descriptive and inferential statistics. The results revealed that the university-wide extension project was successful in implementing activities and producing desired outputs. Its outcomes are evidenced in the attainment of its vision, mission, and objectives. As found, the project had a very high impact on the holistic wellness of third agers in each dimension and as a whole. This means that the third-agers have balanced well-being. This paper also highlights the contributions of the project in the Philippine Development Plan 2017-2022, ambisyon 2040, and sustainable development goals. In the end, relevant recommendations are specifically articulated for future actions. (shrink)

Genius Is Not About Popularity -/- Throughout history, the concept of genius has often been misunderstood. Many equate genius with fame, believing that the most recognized figures in science, art, and philosophy are necessarily the greatest minds. However, true genius is not about popularity; it is about depth of insight, originality of thought, and contributions to human progress, regardless of public recognition. Some of the most brilliant minds were overlooked in their time, yet their ideas shaped the future. This essay (...) explores why genius is independent of popularity and how history has proven that true intellectual greatness often transcends societal recognition. -/- The Nature of Genius -/- Genius is characterized by extraordinary intellectual ability, creativity, and the capacity to think beyond conventional wisdom. A true genius is not necessarily someone who seeks attention or public validation but someone who pursues knowledge and innovation for its own sake. Many geniuses are ahead of their time, which can result in their ideas being ignored or misunderstood. Unlike celebrities or influential public figures, a genius does not necessarily attract mass appeal because their work often requires a level of understanding that only a few can appreciate during their lifetime. -/- Unrecognized Geniuses in History -/- History is filled with examples of individuals whose genius was not recognized until long after their death. One of the most famous cases is Nikola Tesla, a brilliant inventor and engineer whose contributions to electrical engineering were largely overshadowed by more business-savvy figures like Thomas Edison. Tesla’s work on alternating current (AC) power revolutionized the world, yet he died in relative obscurity. -/- Another example is Gregor Mendel, the father of modern genetics. Mendel’s groundbreaking experiments with pea plants laid the foundation for genetic inheritance, yet his work was largely ignored during his lifetime. It was only decades later that scientists realized the significance of his discoveries, which are now fundamental to biology. -/- Similarly, Vincent van Gogh is celebrated today as one of the greatest painters in history, yet he sold only a few paintings during his lifetime. His artistic vision was not widely appreciated, and he struggled with poverty and mental illness. His posthumous fame is a testament to how genius is often ahead of its time and only recognized when society catches up with its vision. -/- The philosopher Søren Kierkegaard, who laid the foundation for existentialist thought, was largely dismissed during his lifetime. Today, his writings influence fields as diverse as philosophy, psychology, and theology. Similarly, Ada Lovelace, who worked on Charles Babbage’s early mechanical computer, was virtually unknown during her time but is now recognized as one of the first computer programmers. -/- Alan Turing, whose work in cryptography helped end World War II, was largely unrecognized in his lifetime due to prevailing social prejudices. His contributions to computer science and artificial intelligence were only widely acknowledged decades after his tragic death. Likewise, the works of Emily Dickinson, now considered some of the greatest poetry in American literature, remained unpublished until after her passing. -/- Another overlooked genius was Hypatia of Alexandria, a pioneering mathematician, astronomer, and philosopher in ancient Greece. Despite her immense contrib”tions to science and philosophy, she was largely erased from history due to political and religious turmoil. Similarly, Joseph Priestley, the scientist who discovered oxygen, did not receive immediate recognition because his findings conflicted with mainstream scientific beliefs at the time. -/- Another modern example is Rosalind Franklin, whose work in X-ray crystallography was crucial to the discovery of DNA’s double helix structure. However, her contributions were overshadowed by Watson and Crick, who received most of the credit for the discovery. Additionally, Ignaz Semmelweis, a 19th-century physician who introduced handwashing in medical practice to prevent infections, was dismissed and ridiculed during his time, only for his ideas to become foundational in modern medicine. -/- Other overlooked geniuses include Ludwig Boltzmann, who developed statistical mechanics, a cornerstone of modern physics. His work was dismissed by many during his lifetime, leading to his tragic death. Similarly, Emmy Noether, one of the greatest mathematicians in history, made groundbreaking contributions to abstract algebra and theoretical physics but was largely unrecognized due to gender biases. -/- Johan Sebastian Bach, now considered one of the greatest composers, was not widely appreciated during his lifetime and was overshadowed by more fashionable composers of his era. Likewise, Henri Poincaré, whose work in mathematics and theoretical physics laid the groundwork for chaos theory and relativity, was often overlooked in favor of his contemporaries. -/- Popularity vs. Impact -/- Popularity is often dictated by trends, media influence, and societal values, whereas genius is about intellectual contribution and long-term impact. Many popular figures may gain widespread recognition due to charisma, marketing, or entertainment value, but that does not necessarily mean they have made groundbreaking contributions to human knowledge. In contrast, some of the most transformative ideas in science, philosophy, and art have come from individuals who were not widely known in their era. -/- Moreover, some geniuses actively avoid the spotlight, preferring to focus on their work rather than public recognition. Albert Einstein, despite becoming famous later in life, initially worked in obscurity as a patent clerk before his theories revolutionized physics. Similarly, mathematician Srinivasa Ramanujan made astonishing contributions to number theory without formal education or widespread recognition during his lifetime. -/- The Importance of Recognizing True Genius -/- While popularity can bring attention to ideas, it is important to differentiate between recognition and true intellectual brilliance. Society should strive to support and acknowledge innovative thinkers even if their ideas are not immediately understood or appreciated. Educational institutions, scientific communities, and cultural organizations have a responsibility to foster environments where unconventional ideas can thrive, ensuring that genius is recognized based on merit rather than mass appeal. -/- Conclusion -/- Genius is not about popularity; it is about profound intellectual contributions that shape the world. Many great minds were overlooked in their time, only to be celebrated long after their deaths. History shows that true genius often works in obscurity, pushing the boundaries of knowledge regardless of societal recognition. Instead of equating fame with intelligence, we should value deep thinking, innovation, and originality, ensuring that future generations recognize and support those who truly advance human understanding. -/- . (shrink)

This study aimed to identify the effect of procedural justice on organizational loyalty from the point of view of Faculty Staff at Palestine Technical University- Kadoorei. It also aimed to identify the differences in the views of the study sample on the study variables according to the years of service. In order to achieve this, the researchers used a questionnaire consisting of (22) paragraphs where the first area (10) paragraphs looking at procedural justice while the paragraphs of the second area (...) and the number of (12) paragraph in the field of organizational allegiance to Faculty Staff at the university, (105) questionnaires were distributed on the sample of the study, and after the process of distribution of the questionnaire was collected and coded and entered into the computer and processed statistically using the statistical program of social sciences (SPSS). One of the most important findings of the study was that the degree of procedural justice at the heads of departments at Palestine Technical University- Kadoorei, from the point of view of Faculty Staff was between the medium and large, where the average arithmetic (3.65). Respondents also showed a high level of organizational loyalty (3.84). The study also showed a statistically significant effect at the level of significance (α = 0.05) for procedural fairness in achieving organizational loyalty, and the absence of differences attributed to years of experience. In the light of the results of the previous study, the researchers recommended several recommendations, the most important of which is to increase the awareness of the workers on the principles of procedural justice, to encourage adherence to them and to indicate their importance in job performance by creating systems and methods that ensure commitment to justice by raising the ability of leaders to build new policies and visions Which would promote the work of institutions. (shrink)

Focused on women, this article investigates the qualities and attributes that family-owned businesses desire in a potential successor. This paper is the outcome of quantitative data that was solicited and collected from 120 participants using a semi-structured questionnaire. The Statistical Package for Social Sciences (SPSS) software was utilised to analyse the quantitative data and was complemented with the elements that were drawn from the qualitative data (open-ended questions). The results suggest that the incumbents prefer the potential successor to have (...) management skills; leadership skills; the ability to relate well with other members of the family; show interest in becoming a successor, possess greater aptitude than other members of the family; understands the business vision, be trustworthy; be committed to the business; has management experience; must be related by blood or law and able to harmonise the interests of the family with those of the business. Overall, this narrative highlights the woman’s position in a male-dominated discourse, besides suggesting that an understanding of the attributes desired by the incumbent will positively impact on the succession process in South African townships. -/- . (shrink)

Statistical evidence—say, that 95% of your co-workers badmouth each other—can never render resenting your colleague appropriate, in the way that other evidence (say, the testimony of a reliable friend) can. The problem of statistical resentment is to explain why. We put the problem of statistical resentment in several wider contexts: The context of the problem of statistical evidence in legal theory; the epistemological context—with problems like the lottery paradox for knowledge, epistemic impurism and doxastic wrongdoing; and (...) the context of a wider set of examples of responses and attitudes that seem not to be appropriately groundable in statistical evidence. Regrettably, we do not come up with a fully general, fully adequate, fully unified account of all the phenomena discussed. But we give reasons to believe that no such account is forthcoming, and we sketch a somewhat messier account that may be the best that can be had here. (shrink)

The law views with suspicion statistical evidence, even evidence that is probabilistically on a par with direct, individual evidence that the law is in no way suspicious of. But it has proved remarkably hard to either justify this suspicion, or to debunk it. In this paper, we connect the discussion of statistical evidence to broader epistemological discussions of similar phenomena. We highlight Sensitivity – the requirement that a belief be counterfactually sensitive to the truth in a specific way (...) – as a way of epistemically explaining the legal suspicion towards statistical evidence. Still, we do not think of this as a satisfactory vindication of the reluctance to rely on statistical evidence. Knowledge – and Sensitivity, and indeed epistemology in general – are of little, if any, legal value. Instead, we tell an incentive-based story vindicating the suspicion towards statistical evidence. We conclude by showing that the epistemological story and the incentive-based story are closely and interestingly related, and by offering initial thoughts about the role of statistical evidence in morality. (shrink)

There has long been an impression that reliabilism implies externalism and that frequentist statistics, due to its reliabilist nature, is inherently externalist. I argue, however, that frequentist statistics can plausibly be understood as a form of internalist reliabilism -- internalist in the conventional sense, yet reliabilist in certain unconventional and intriguing ways. Crucially, in developing the thesis that reliabilism does not imply externalism, my aim is not to stretch the meaning of ‘reliabilism’ merely to sever the implication. Instead, it is (...) to gain a deeper understanding of frequentist statistics, which stands as one of the most sustained attempts by scientists to develop an epistemology for their own use. (shrink)

Recently, the practice of deciding legal cases on purely statistical evidence has been widely criticised. Many feel uncomfortable with finding someone guilty on the basis of bare probabilities, even though the chance of error might be stupendously small. This is an important issue: with the rise of DNA profiling, courts are increasingly faced with purely statistical evidence. A prominent line of argument—endorsed by Blome-Tillmann 2017; Smith 2018; and Littlejohn 2018—rejects the use of such evidence by appealing to epistemic (...) norms that apply to individual inquirers. My aim in this paper is to rehabilitate purely statistical evidence by arguing that, given the broader aims of legal systems, there are scenarios in which relying on such evidence is appropriate. Along the way I explain why popular arguments appealing to individual epistemic norms to reject legal reliance on bare statistics are unconvincing, by showing that courts and individuals face different epistemic predicaments (in short, individuals can hedge when confronted with statistical evidence, whilst legal tribunals cannot). I also correct some misconceptions about legal practice that have found their way into the recent literature. (shrink)

According to Milner and Goodale’s dual visual systems (DVS) theory, a division obtains between visual consciousness and motor action, in that the visual system producing conscious vision (the ventral stream) is distinct from the one guiding action (the dorsal stream). That there would be this division is often taken (by Andy Clark and others) to undermine the folk view on how consciousness and action relate. However, even if this division obtains, this leaves open the possibility that con- scious ventral (...) information is often transmitted to the uncon- scious dorsal stream and then used to guide action, a possibility seeming to preserve a significant role for consciousness in action. This article assesses this possibility. In course of doing so, we will review those arguments recently having been made against the DVS view on how visual consciousness and action relate (ones due to, e.g., Briscoe and Schwenkler, or Schenk and McIntosh). What we will find is that, if we properly analyze the data upon which these arguments are based, we are still left with the impression that the DVS view is largely correct; i.e., it is only rarely that visual experience guides action. (shrink)

Predictive algorithms are playing an increasingly prominent role in society, being used to predict recidivism, loan repayment, job performance, and so on. With this increasing influence has come an increasing concern with the ways in which they might be unfair or biased against individuals in virtue of their race, gender, or, more generally, their group membership. Many purported criteria of algorithmic fairness concern statistical relationships between the algorithm’s predictions and the actual outcomes, for instance requiring that the rate of (...) false positives be equal across the relevant groups. We might seek to ensure that algorithms satisfy all of these purported fairness criteria. But a series of impossibility results shows that this is impossible, unless base rates are equal across the relevant groups. What are we to make of these pessimistic results? I argue that none of the purported criteria, except for a calibration criterion, are necessary conditions for fairness, on the grounds that they can all be simultaneously violated by a manifestly fair and uniquely optimal predictive algorithm, even when base rates are equal. I conclude with some general reflections on algorithmic fairness. (shrink)

A popular informal argument suggests that statistics about the preponderance of criminal involvement among particular demographic groups partially justify others in making defensive mistakes against members of the group. One could worry that evidence-relative accounts of moral rights vindicate this argument. After constructing the strongest form of this objection, I offer several replies: most demographic statistics face an unmet challenge from reference class problems, even those that meet it fail to ground non-negligible conditional probabilities, even if they did, they introduce (...) new costs likely to cancel out any justificatory contribution of the statistic, but even if they didn’t, demographic facts are the wrong sort to make a moral difference to agents’ negative rights. I conclude that the popular argument should be rejected, and evidence-relative theories do not have the worrisome implication. (shrink)

Martin Smith has recently proposed, in this journal, a novel and intriguing approach to puzzles and paradoxes in evidence law arising from the evidential standard of the Preponderance of the Evidence. According to Smith, the relation of normic support provides us with an elegant solution to those puzzles. In this paper I develop a counterexample to Smith’s approach and argue that normic support can neither account for our reluctance to base affirmative verdicts on bare statistical evidence nor resolve the (...) pertinent paradoxes. Normic support is, as a consequence, not a successful epistemic anti-luck condition. (shrink)

Empirical work and philosophical analysis have led to widespread acceptance that vision for action, served by the cortical dorsal stream, is unconscious. I argue that the empirical argument for this claim is unsound. That argument relies on subjects’ introspective reports. Yet on biological grounds, in light of the theory of primate cortical vision, introspection has no access to dorsal stream mediated visual states. It is thus wrongly assumed that introspective reports speak to absent phenomenology in the dorsal stream. (...) In light of this, I consider a different conception of consciousness’s relation to agency in terms of access. While theoretical reasons suggest that the inaccessibility of the dorsal stream to conceptual report is evidence that it is unconscious, this position begs important questions. I propose a broader notion of access in respect of the guidance of intentional agency and not, narrowly, conceptual report (Note: this paper contradicts my earlier paper, "The Case for Zombie Agency"). (shrink)

It is one thing to hold that merely statistical evidence is _sometimes_ insufficient for rational belief, as in typical lottery and profiling cases. It is another thing to hold that merely statistical evidence is _always_ insufficient for rational belief. Indeed, there are cases where statistical evidence plainly does justify belief. This project develops a dispositional account of the normativity of statistical evidence, where the dispositions that ground justifying statistical evidence are connected to the goals (= (...) proper function) of objects. There are strong intuitive motivations for doing this. For we can turn almost any case of _non-justifying_ merely statistical evidence into a case of _justifying_ merely statistical evidence by adding information about the dispositions and goals of the objects involved. The resulting view not only helps us understand when and why merely statistical evidence is normatively significant, but it also helps us understand how statistical evidence relates to more standard forms of evidence (perceptual, testimonial). The emerging view also has surprising applications, as it imposes limitations on the epistemic value of fine-tuning arguments for theism as well as undermines a standard class of case-based arguments for moral encroachment. (shrink)

The application of statistical methods and models both in the natural and social sciences is nowadays a trivial fact which nobody would deny. Bold analogies even suggest the application of the same statistical models to fields as different as statistical mechanics and economics, among them the case of the young and controversial discipline of Econophysics . Less trivial, however, is the answer to the philosophical question, which has been raised ever since the possibility of “commuting” statistical (...) thinking and models between natural and social sciences emerged: whether such a methodological kinship would imply some kind of more profound unity of the natural and the social domain. Starting with Adolphe Quetelet (1796-1874) and ending with the Vienna Circle (from the late 1920s until the 1940s), this paper offers a brief historical and philosophical reconstruction of some important stages in the development of statistics as “commuting” between the natural and the social sciences. This reconstruction is meant to highlight (with respect to the authors under consideration): (1) the existence of a significant correlation between the readiness to “transfer” statistical thinking from natural to social sciences and vice versa, on the one hand, and the standpoints on the issue of the unity/disunity of science, on the other; (2) the historical roots and the fortunes of the analogy between statistical models of society and statistical models of gases. (shrink)

In statistics, there are two main paradigms: classical and Bayesian statistics. The purpose of this article is to investigate the extent to which classicists and Bayesians can agree. My conclusion is that, in certain situations, they cannot. The upshot is that, if we assume that the classicist is not allowed to have a higher degree of belief in a null hypothesis after he has rejected it than before, then he has to either have trivial or incoherent credences to begin with (...) or fail to update his credences by conditionalization. (shrink)

The origins of testing scientific models with statistical techniques go back to 18th century mathematics. However, the modern theory of statistical testing was primarily developed through the work of Sir R.A. Fisher, Jerzy Neyman, and Egon Pearson in the inter-war period. Some of Fisher's papers on testing were published in economics journals (Fisher, 1923, 1935) and exerted a notable influence on the discipline. The development of econometrics and the rise of quantitative economic models in the mid-20th century made (...) statistical significance testing a commonplace, albeit controversial tool within economics. -/- In the debate about significance testing, methodological controversies intertwine with epistemological issues and sociological developments. Our aim in this chapter is to expound these connections and to show how the use of, and the debate about, significance testing in economics differs from other social sciences, such as psychology. (shrink)

David Milner and Melvyn Goodale’s dissociation hypothesis is commonly taken to state that there are two functionally specialized cortical streams of visual processing originating in striate (V1) cortex: a dorsal, action-related “unconscious” stream and a ventral, perception-related “conscious” stream. As Milner and Goodale acknowledge, findings from blindsight studies suggest a more sophisticated picture that replaces the distinction between unconscious vision for action and conscious vision for perception with a tripartite division between unconscious vision for action, conscious (...) class='Hi'>vision for perception, and unconscious vision for perception. The combination excluded by the tripartite division is the possibility of conscious vision for action. But are there good grounds for concluding that there is no conscious vision for action? There is now overwhelming evidence that illusions and perceived size can have a significant effect on action (Bruno & Franz, 2009; Dassonville & Bala, 2004; Franz & Gegenfurtner, 2008; McIntosh & Lashley, 2008). There is also suggestive evidence that any sophisticated visual behavior requires collaboration between the two visual streams at every stage of the process (Schenk & McIntosh, 2010). I nonetheless want to make a case for the tripartite division between unconscious vision for action, conscious vision for perception, and unconscious vision for perception. My aim here is not to refute the evidence showing that conscious vision can affect action but rather to argue (a) that we cannot gain cognitive access to action-guiding dorsal stream representations, and (b) that these representations do not correlate with phenomenal consciousness. This vindicates the semi-conservative view that the dissociation hypothesis is best understood as a tripartite division. (shrink)

Statistical evidence is crucial throughout disparate impact’s three-stage analysis: during (1) the plaintiff’s prima facie demonstration of a policy’s disparate impact; (2) the defendant’s job-related business necessity defense of the discriminatory policy; and (3) the plaintiff’s demonstration of an alternative policy without the same discriminatory impact. The circuit courts are split on a vital question about the “practical significance” of statistics at Stage 1: Are “small” impacts legally insignificant? For example, is an employment policy that causes a one percent (...) disparate impact an appropriate policy for redress through disparate impact litigation? This circuit split calls for a comprehensive analysis of practical significance testing across disparate impact’s stages. Importantly, courts and commentators use “practical significance” ambiguously between two aspects of practical significance: the magnitude of an effect and confidence in statistical evidence. For example, at Stage 1 courts might ask whether statistical evidence supports a disparate impact (a confidence inquiry) and whether such an impact is large enough to be legally relevant (a magnitude inquiry). Disparate impact’s texts, purposes, and controlling interpretations are consistent with confidence inquires at all three stages, but not magnitude inquiries. Specifically, magnitude inquiries are inappropriate at Stages 1 and 3—there is no discriminatory impact or reduction too small or subtle for the purposes of the disparate impact analysis. Magnitude inquiries are appropriate at Stage 2, when an employer defends a discriminatory policy on the basis of its job-related business necessity. (shrink)

This paper examines Milner and Goodale’s hypothesis about the two visual streams and raises the questions of whether properties in egocentric space (commonly associated with the vision-for-action, or "dorsal," stream) can be part of the phenomenal content of perceptual experience, or only properties in allocentric space (commonly associated with the vision-for-perception, or "ventral," stream) can play this role, and how (if at all) properties in egocentric space differ from properties in allocentric space. These questions are reminiscent of issues (...) raised by Christopher Peacocke's "equal-sized trees" case: if you are looking at equal-sized trees on the side of a road, the trees will phenomenally look to you to be equally tall. But it is also true that a tree will take up more of the space in your visual field the closer it is to you. So, the equal-sized trees will also phenomenally look to you to have different heights. Your (visual) perceptual experience is not illusory. That is, the trees veridically look to you to have the same height, and they also veridically look to you to have different heights. Call the sort of issue raised here the "problem of dual looks." I provide a solution to the problem of dual looks that helps shed light on whether properties in egocentric space can be part of the phenomenal content of perceptual experience, and how (if at all) properties in egocentric space differ from properties in allocentric space. (shrink)

Statistical mechanics is often taken to be the paradigm of a successful inter-theoretic reduction, which explains the high-level phenomena (primarily those described by thermodynamics) by using the fundamental theories of physics together with some auxiliary hypotheses. In my view, the scope of statistical mechanics is wider since it is the type-identity physicalist account of all the special sciences. But in this chapter, I focus on the more traditional and less controversial domain of this theory, namely, that of explaining (...) the thermodynamic phenomena.What are the fundamental theories that are taken to explain the thermodynamic phenomena? The lively research into the foundations of classical statistical mechanics suggests that using classical mechanics to explain the thermodynamic phenomena is fruitful. Strictly speaking, in contemporary physics, classical mechanics is considered to be false. Since classical mechanics preserves certain explanatory and predictive aspects of the true fundamental theories, it can be successfully applied in certain cases. In other circumstances, classical mechanics has to be replaced by quantum mechanics. In this chapter I ask the following two questions: I) How does quantum statistical mechanics differ from classical statistical mechanics? How are the well-known differences between the two fundamental theories reflected in the statistical mechanical account of high-level phenomena? II) How does quantum statistical mechanics differ from quantum mechanics simpliciter? To make our main points I need to only consider non-relativistic quantum mechanics. Most of the ideas described and addressed in this chapter hold irrespective of the choice of a (so-called) interpretation of quantum mechanics, and so I will mention interpretations only when the differences between them are important to the matter discussed. (shrink)

At its strongest, Hume's problem of induction denies the existence of any well justified assumptionless inductive inference rule. At the weakest, it challenges our ability to articulate and apply good inductive inference rules. This paper examines an analysis that is closer to the latter camp. It reviews one answer to this problem drawn from the VC theorem in statistical learning theory and argues for its inadequacy. In particular, I show that it cannot be computed, in general, whether we are (...) in a situation where the VC theorem can be applied for the purpose we want it to. (shrink)

The replication crisis has prompted many to call for statistical reform within the psychological sciences. Here we examine issues within Frequentist statistics that may have led to the replication crisis, and we examine the alternative—Bayesian statistics—that many have suggested as a replacement. The Frequentist approach and the Bayesian approach offer radically different perspectives on evidence and inference with the Frequentist approach prioritising error control and the Bayesian approach offering a formal method for quantifying the relative strength of evidence for (...) hypotheses. We suggest that rather than mere statistical reform, what is needed is a better understanding of the different modes of statistical inference and a better understanding of how statistical inference relates to scientific inference. (shrink)

Causation is a macroscopic phenomenon. The temporal asymmetry displayed by causation must somehow emerge along with other asymmetric macroscopic phenomena like entropy increase and the arrow of radiation. I shall approach this issue by considering ‘causal inference’ techniques that allow causal relations to be inferred from sets of observed correlations. I shall show that these techniques are best explained by a reduction of causation to structures of equations with probabilistically independent exogenous terms. This exogenous probabilistic independence imposes a recursive order (...) on these equations and a consequent distinction between dependent and independent variables that lines up with the temporal asymmetry of causation. (shrink)

A question, long discussed by legal scholars, has recently provoked a considerable amount of philosophical attention: ‘Is it ever appropriate to base a legal verdict on statistical evidence alone?’ Many philosophers who have considered this question reject legal reliance on bare statistics, even when the odds of error are extremely low. This paper develops a puzzle for the dominant theories concerning why we should eschew bare statistics. Namely, there seem to be compelling scenarios in which there are multiple sources (...) of incriminating statistical evidence. As we conjoin together different types of statistical evidence, it becomes increasingly incredible to suppose that a positive verdict would be impermissible. I suggest that none of the dominant views in the literature can easily accommodate such cases, and close by offering a diagnosis of my own. (shrink)

One finds, in Maxwell's writings on thermodynamics and statistical physics, a conception of the nature of these subjects that differs in interesting ways from the way that they are usually conceived. In particular, though—in agreement with the currently accepted view—Maxwell maintains that the second law of thermodynamics, as originally conceived, cannot be strictly true, the replacement he proposes is different from the version accepted by most physicists today. The modification of the second law accepted by most physicists is a (...) probabilistic one: although statistical fluctuations will result in occasional spontaneous differences in temperature or pressure, there is no way to predictably and reliably harness these to produce large violations of the original version of the second law. Maxwell advocates a version of the second law that is strictly weaker; the validity of even this probabilistic version is of limited scope, limited to situations in which we are dealing with large numbers of molecules en masse and have no ability to manipulate individual molecules. Connected with this is his concept of the thermodynamic concepts of heat, work, and entropy; on the Maxwellian view, these are concepts that must be relativized to the means we have available for gathering information about and manipulating physical systems. The Maxwellian view is one that deserves serious consideration in discussions of the foundation of statistical mechanics. It has relevance for the project of recovering thermodynamics from statistical mechanics because, in such a project, it matters which version of the second law we are trying to recover. (shrink)

Many philosophers have pointed out that statistical evidence, or at least some forms of it, lack desirable epistemic or non-epistemic properties, and that this should make us wary of litigations in which the case against the defendant rests in whole or in part on statistical evidence. Others have responded that such broad reservations about statistical evidence are overly restrictive since appellate courts have expressed nuanced views about statistical evidence. In an effort to clarify and reconcile, I (...) put forward an interpretive analysis of why statistical evidence should raise concerns in some cases but not others. I argue that when there is a mismatch between the specificity of the evidence and the expected specificity of the accusation, statistical evidence—as any other kind of evidence—should be considered insufficient to sustain a conviction. I rely on different stylized court cases to illustrate the explanatory power of this analysis. (shrink)

In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we respond to (...) the arguments by Woodall et al. [1]. We show that not all indeterminacies (uncertainties) may be represented by intervals. Also, in some cases, we should better use hesitant sets (that have less indeterminacy) instead of intervals. We redirect the authors to the Plithogenic Probability and Plithogenic Statistics which are the most general forms of MultiVariate Probability and Multivariate Statistics respectively (including, of course, the Imprecise Probability and Interval Statistics as subclasses). (shrink)

In this paper I propose an interpretation of classical statistical mechanics that centers on taking seriously the idea that probability measures represent complete states of statistical mechanical systems. I show how this leads naturally to the idea that the stochasticity of statistical mechanics is associated directly with the observables of the theory rather than with the microstates (as traditional accounts would have it). The usual assumption that microstates are representationally significant in the theory is therefore dispensable, a (...) consequence which suggests interesting possibilities for developing non-equilibrium statistical mechanics and investigating inter-theoretic answers to the foundational questions of statistical mechanics. (shrink)

This paper introduces the Spider Vision Framework, a biomimetic approach to AI governance inspired by the dual visual systems of spiders. By integrating focused oversight (technical detail) with systemic awareness (societal context) and grounding both in virtue ethics—particularly prudence, justice, and adaptability—the framework addresses immediate technical risks while accounting for long-term societal implications. Comparative analyses with consequentialist and deontological models underscore virtue ethics’ emphasis on moral character, and the paper proposes pilot studies for empirical validation in healthcare AI and (...) autonomous vehicles. This integrated approach aims to foster an adaptive, ethically robust governance model, balancing precision and breadth to better align AI with the common good. Initial findings suggest a significant improvement in ethical compliance and stakeholder engagement when dual-focus oversight is integrated into existing AI systems. The framework recommends targeted pilot implementations across diverse regulatory environments to ensure robust, context-specific outcomes. (shrink)

It is natural to assume that the fine-grained and highly accurate spatial information present in visual experience is often used to guide our bodily actions. Yet this assumption has been challenged by proponents of the Two Visual Systems Hypothesis , according to which visuomotor programming is the responsibility of a “zombie” processing stream whose sources of bottom-up spatial information are entirely non-conscious . In many formulations of TVSH, the role of conscious vision in action is limited to “recognizing objects, (...) selecting targets for action, and determining what kinds of action, broadly speaking, to perform” . Our aim in this study is to show that the available evidence not only fails to support this dichotomous view but actually reveals a significant role for conscious vision in motor programming, especially for actions that require deliberate attention. (shrink)

The history of statistics is filled with many controversies, in which the prime focus has been the difference in the “interpretation of probability” between Fre- quentist and Bayesian theories. Many philosophical arguments have been elabo- rated to examine the problems of both theories based on this dichotomized view of statistics, including the well-known stopping-rule problem and the catch-all hy- pothesis problem. However, there are also several “hybrid” approaches in theory, practice, and philosophical analysis. This poses many fundamental questions. This paper (...) reviews three cases and argues that the interpretation problem of probabil- ity is insufficient to begin a philosophical analysis of the current issues in the field of statistics. A novel viewpoint is proposed to examine the relationship between the stopping-rule problem and the catch-all hypothesis problem. (shrink)

Many who think that naked statistical evidence alone is inadequate for a trial verdict think that use of probability is the problem, and something other than probability – knowledge, full belief, causal relations – is the solution. I argue that the issue of whether naked statistical evidence is weak can be formulated within the probabilistic idiom, as the question whether likelihoods or only posterior probabilities should be taken into account in our judgment of a case. This question also (...) identifies a major difference between the Process Reliabilist and Probabilistic Tracking views of knowledge and other concepts. Though both are externalist, and probabilistic, epistemic theories, Tracking does and Process Reliabilism does not put conditions on likelihoods. So Tracking implies that a naked statistic is not adequate evidence about an individual, and does not yield knowledge, whereas the Reliabilist thinks it gives justified belief and knowledge. Not only does the Tracking view imply that naked statistical evidence is insufficient for a verdict, but it gives us resources to explain why, in terms of risk and the special conditions of a trial. (shrink)

This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, (...) Gibbs, and Boltzmann that probabilities would be needed, namely, that the second law of thermodynamics, which in its original formulation says that certain processes are impossible, must, on the kinetic theory, be replaced by a weaker formulation according to which what the original version deems impossible is merely improbable. Second is that we ought not take the standard measures invoked in equilibrium statistical mechanics as giving, in any sense, the correct probabilities about microstates of the system. We can settle for a much weaker claim: that the probabilities for outcomes of experiments yielded by the standard distributions are effectively the same as those yielded by any distribution that we should take as a representing probabilities over microstates. Lastly, (and most controversially): in asking about the status of probabilities in statistical mechanics, the familiar dichotomy between epistemic probabilities (credences, or degrees of belief) and ontic (physical) probabilities is insufficient; the concept of probability that is best suited to the needs of statistical mechanics is one that combines epistemic and physical considerations. (shrink)

This Article outlines a vision of responsible innovation and outlines a public policy and implementation strategy for it.

Recently, Jennifer Saul (“Racial Figleaves, the Shifting Boundaries of the Permissible, and the Rise of Donald Trump”, 2017; “Racist and Sexist Figleaves”, 2021) has explored the use of what she calls “figleaves” in the discourse on race and gender. Following Saul, a figleaf is an utterance that, for some portion of the audience, blocks the conclusion that some other utterance, R, or the person who uttered R is racist or sexist. Such racial and gender figleaves are pernicious, says Saul, because, (...) among other things, they can shift the boundaries of what is deemed acceptable to think or say. This paper expands on Saul’s picture in a threefold way: It is first argued that appeals to statistics can function as figleaves. It is then argued that—as far as figleaves go—there is reason to believe that statistics-as-figleaves are especially pernicious. Finally, the paper explores some strategies for counterspeech. (shrink)

Many biologists, especially in ecology and evolution, analyze their data by estimating fits to a set of candidate models and selecting the best model according to the Akaike Information Criterion (AIC) or the Bayesian Information Criteria (BIC). When the candidate models represent alternative hypotheses, biologists may want to limit the chance of a false positive to a specified level. Existing model selection methodology, however, allows for only indirect control over error rates by setting a threshold for the difference in AIC (...) scores. We present a novel theoretical framework for parametric Neyman-Pearson (NP) model selection using information criteria that does not require a pre-data null and applies to three or more non-nested models simultaneously. We apply the theoretical framework to the Error Control for Information Criteria (ECIC) procedure introduced by Cullan et al. (J Appl Stat 47: 2565–2581, 2019), and we show it shares many of the desirable properties of AIC-type methods, including false positive and negative rates that converge to zero asymptotically. We discuss implications for the compatibility of evidentialist and severity-based approach to evidence in philosophy of science. (shrink)

Vision constitutes an interesting domain, or range of domains, for debate over the extended mind thesis, the idea that minds physically extend beyond the boundaries of the body. In part this is because vision and visual experience more particularly are sometimes presented as a kind of line in the sand for what we might call externalist creep about the mind: once all reasonable concessions have been made to externalists about the mind, visual experience marks a line beyond which (...) lies a safe haven for individualists. Here I want to put a little more pressure on such a view of visual experience, as well as to offer a more constructive, positive argument in defense of the idea of extended vision. (shrink)

According to the Rational Threshold View, a rational agent believes p if and only if her credence in p is equal to or greater than a certain threshold. One of the most serious challenges for this view is the problem of statistical evidence: statistical evidence is often not sufficient to make an outright belief rational, no matter how probable the target proposition is given such evidence. This indicates that rational belief is not as sensitive to statistical evidence (...) as rational credence. The aim of this paper is twofold. First, we argue that, in addition to playing a decisive role in rationalizing outright belief, non-statistical evidence also plays a preponderant role in rationalizing credence. More precisely, when both types of evidence are present in a context, non-statistical evidence should receive a heavier weight than statistical evidence in determining rational credence. Second, based on this result, we argue that a modified version of the Rational Threshold View can avoid the problem of statistical evidence. We conclude by suggesting a possible explanation of the varying sensitivity to different types of evidence for belief and credence based on the respective aims of these attitudes. (shrink)