A number of philosophers from Hobbes to Mill to Parfit have held some combination of the following views about the Golden Rule: (a) It is the cornerstone of morality across many if not all cultures. (b) It affirms the value of moral impartiality, and potentially the core idea of utilitarianism. (c) It is immune from evolutionary debunking, that is, there is no good naturalistic explanation for widespread acceptance of the Golden Rule, ergo the best explanation for its (...) appearance in different traditions is that people have perceived the same non-natural moral truth. De Lazari-Radek and Singer employ all three of these claims in an argument meant to vindicate Sidgwick's ‘principle of universal benevolence’. I argue that the Golden Rule is the cornerstone of morality only in Christianity, it does not advocate moral impartiality, and there is a naturalistic explanation for why versions of the Golden Rule appear in different traditions. (shrink)

Our goal is to prove that the golden section, however important, is not the only key to understand a mathematical-formalizing approach to the idea of beauty. Having developed, from this point of view, reading keys linked to the post-modern, it is necessary to link together the multiple rivulets of knowledge that gather in this direction. Moreover the canons of the approaches presented up to now are very indicative for the understanding of many aspects of beauty, which however depends on (...) the historical moment and the cultures created in the various civilizations. Therefore we can affirm that there is no effective definition of "beauty" that can be codified through fixed canons, but that the concept is expressed by a series of stratifications and interpretations that tend to link several major variations, expressing the various answers given by man to the question: what is the beauty? (shrink)

In Deep Medicine, Eric Topol argues that the development of artificial intelligence (AI) for healthcare will lead to a dramatic shift in the culture and practice of medicine. Topol claims that, rather than replacing physicians, AI could function alongside of them in order to allow them to devote more of their time to face-to-face patient care. Unfortunately, these high hopes for AI-enhanced medicine fail to appreciate a number of factors that, we believe, suggest a radically different picture for the (...) future of healthcare. Far from facilitating a return to “the golden age of doctoring”, the role of economic and institutional considerations in determining how medical AI will be used mean that it is likely to further erode therapeutic relationships and threaten professional and patient satisfaction. (shrink)

Being able to apply grue-like predicates would allow one to instantly solve an infinite number of mysteries (historical, scientific, etc.). In this paper I’ll give a couple of examples. It is still a mystery whether George Mallory and Andrew Irvine managed to reach the summit of Mount Everest in 1924. The predicate “greverest” applies to an object if either the object is green and Mount Everest was scaled in 1924, or the object is not green and Mount Everest was (...) not scaled in 1924. The predicate “greverest” is interdefinable with the predicate “green”: the predicate "green" applies to an object if either the object is greverest and Mount Everest was scaled in 1924, or the object is not greverest and Mount Everest was not scaled in 1924. The predicate "non-greverest" applies to an object if either the object is non-green and Mount Everest was scaled in 1924, or the object is green and Mount Everest was not scaled in 1924. The predicate "non-green" applies to an object if either the object is non-greverest and Mount Everest was scaled in 1924, or the object is greverest and Mount Everest was not scaled in 1924. We know that the famous diamond called Golden Jubilee is not green. If someone (a greverest-speaker) informed us that the Golden Jubilee diamond is greverest, we would automatically come to know Mount Everest was not scaled in 1924. According to the definitions, a greverest object can only be either 1) green (in case Mount Everest was scaled in 1924), or 2) non-green (in case Mount Everest was not scaled in 1924). Since we know that the Golden Jubilee diamond is not green, if we come to know that the Golden Jubilee diamond is also greverest, we would automatically know from the definition of “greverest” that we are faced with case 2, the case in which the object is both non-green and greverest, and Mount Everest was not scaled in 1924. Vice versa, if someone informed us that the Golden Jubilee diamond is not greverest, we would automatically come to know that Mount Everest was scaled in 1924. According to the definitions, a non-greverest object can only be either 1) non-green (in case Mount Everest was scaled in 1924), or 2) green (in the case Mount Everest was not scaled in 1924). Since we know that the Golden Jubilee diamond is not green, if we come to know that the Golden Jubilee diamond is also non-greverest, we would automatically know from the definition of “non-greverest” that we are faced with case 1, the case in which the object is both non-green and non-greverest, and Mount Everest was scaled in 1924. At the moment no one has yet been able to convince the scientific community that he can correctly determine whether the Golden Jubilee diamond is greverest. I am skeptical that anyone will demonstrate to the scientific community that he can correctly determine whether a specific object is greverest; but I would be happy if someone could demonstrate to the scientific community that he can correctly determine whether an object is greverest: that would be a good news for historical studies. The paper continues with a second example. (shrink)

Peter Vaudreuil Lamarque is one of the most prominent members of the golden generation of analytic aestheticians born immediately after the Second World War. If, to follow Archilochus via Isaiah Berlin (via Peter Kivy), “a fox knows many things, but a hedgehog one important thing,” Lamarque is perhaps the biggest hedgehog of his generation. Lamarque’s “important thing” is not a single idea but, as he would put it, the practice that we call “literature.” His distinctive achievement has been to (...) integrate a number of different ideas into a systematic philosophical account of literature, which also sheds light on art more generally. (shrink)

Although current educational priorities tend to avoid strong moral positions, one of the world's most venerable yet persistently influential moral traditions not only lays out a number of major moral principles but also incorporates them into its pedagogy. Confucius teaches us about the importance of seeking knowledge, learning how to learn, applying ancient wisdom to contemporary situations, valuing virtue over material gain, following the Golden Rule, and living by our principles. He also has ways of assessing his own (...) students' progress in these matters. Confucius' pedagogy is an interesting model to consider and contrast with contemporary models. This chapter introduces these principles and assessments from the Analects and draws out some comparisons to and contrasts with two alternative theories in western moral thought, Augustine and John Dewey. -/- The accepted version of the paper is included here. Pagination does not match the published version. (shrink)

The second half of the 20th century may fairly be considered a golden age for the study of ancient philosophy. This period witnessed the creation of four English-language journals for specialists and two professional societies. Throughout this period there were numerous regional and national conferences, reading groups, NEH-sponsored summer seminars and institutes on various aspects of ancient thought, successful graduate programs in ancient philosophy at a sizable number of American universities, and a steady supply of jobs for specialists (...) in the field. Seminal studies by Gregory Vlastos and G.E.L. Owen stimulated broad interest in ancient Greek philosophy by showing how the methods and issues explored by ancient thinkers were relevant to contemporary philosophical debates. On a less happy note, in recent years some influential analytic philosophers have discounted the value of work in the history of philosophy, and public funding for philosophy, along with other humanities fields, has declined sharply. -/- . (shrink)

The purpose of the article is to develop a methodology for alternative substantiation of financial support for bridge construction. To achieve the purpose, the following general scientific and special methods and techniques of research were used: “golden ratio” rule; systematization and generalization; generalization of the results of the analysis and the logical generation of conclusions. Initially, the article analyzed the state of bridge structures in Europe and Ukraine. Based on the analysis, a disappointing situation has been identified, namely that (...) a significant ratio of bridges number require major overhaul or are in critical condition. During the research, the following tasks were solved, namely: physical wear of the bridge as a failure was considered; the feasibility of investing in reconstruction or new bridge construction was determined. For the purpose of rational use of financial resources, which are limited in the age of economic challenges, and on the basis of the rule of “golden proportion”, the maximum percentage of investment in reconstruction is determined. If the limit is exceeded, it is decided to build a new bridge. This result allows making an economically sound decision and evaluating the effectiveness of the invested resources. It is proved that if the wear index of the overhaul bridge construction is higher than the wear rate of the new bridge construction by λ2 / λ1, and the amount of funds for overhaul reaches 70% of the funds needed to build a new one, it is better to build a new bridge. (shrink)

In this article, I distinguish two models of personal integrity. The first, wholeheartedness, regards harmonious unity of the self as psychologically healthy and volitional consistency as ethically ideal. I argue that it does so at the substantial cost of framing ambivalence and conflict as defects of character and action. To avoid these consequences, I propose an alternate ideal of humility that construes the self as multiple and precarious and celebrates experiences of loss and transformation through which learning, growth, innovation, and (...) dynamic relationship become possible. This ideal not only sustains prospects for integrity but is more suitable than wholeheartedness for recognizing practices of contestation, such as those involving potentially destabilizing encounters with difference that is common within pluralistic societies, as vital for rich, well-lived lives. (shrink)

Is it not surprising that we look with so much pleasure and emotion at works of art that were made thousands of years ago? Works depicting people we do not know, people whose backgrounds are usually a mystery to us, who lived in a very different society and time and who, moreover, have been ‘frozen’ by the artist in a very deliberate pose. It was the Classical Greek philosopher Aristotle who observed in his Poetics that people could apparently be moved (...) even by the imitation of a person or an act. And although we are usually well aware that it is a simulacrum, not a real situation, it nevertheless sometimes seems as if we ourselves are standing there on the stage or in the painting, so intense and emotional is our response, even though we are just spectators. Aristotle concludes from this that we have intellectual capacities which allow us put ourselves in another’s place and consequently to react to simulated situations as though they are actually happening to us, here and now. In this process, he contends, observation, memory, imagination and emotions are crucial elements. In the past it was not customary to invoke human mental faculties to explain our response to works of art. The Ancient Greeks, after all, knew little about the human body or brain and usually referred to the extended world of the gods in their endeavours to comprehend the ‘inner world’ of human beings. In our time the situation is completely different—such an allusion to the brain no longer surprises us. Whether it is about the mystery of the consciousness, the question of free will or accounts of bizarre psychological aberrations or disorders, we have become accustomed to references to parts of the brain, to images of brain scans, to reports about neural networks and the like. However, because there are so many factors that play a part in our appreciation of works of art we need a complex explanation for it, and it is not enough to look only at certain properties of the brain that are determined by evolution. Those properties are shared by every human being, and so are rather useless in explaining people’s different reactions to the same work of art. Evidently the brains of individuals differ so much that they make it possible for people to respond differently to one and the same artwork. This, of course, raises questions concerning the painted emotions that can be seen in this exhibition. Virtually everyone, after all, is fascinated by such paintings and usually recognizes the emotions they represent. The reactions to these painted emotions are also often similar. This is probably why artworks like this are generally highly valued, then and now, here and elsewhere: from the enigmatically smiling Egyptian Queen Nefertiti and the startled Rembrandt to a seemingly despairing African mask. Aristotle observed that in the theatre players imitate actions that are associated with emotions in a number of ways and that these emotions are shared in a particular fashion by the playwright, the actors and the audience. The audience may even be carried away by these emotions to such an extent that they are in a sense purged of them and can subsequently leave the theatre relieved. Are such emotional reactions perhaps related to the fact that emotions are universal and that brains respond similarly to them? Is this why we can so readily identify painted emotions? May we therefore also assume that the properties of the brain determined by evolution help us to explain these emotions? In answering these questions we shall discuss a number of insights into emotions in psychology and brain science and explore some theories about the possible function of emotions and their expression. (shrink)

The Golden Rule, most commonly expressed in the form "do to others what you would have them do to you", has attracted criticism for failing to provide practical guidance in case of moral disagreement and for being susceptible to irrational outcomes. I argue that the alleged limitations are not a defect but just what makes the Golden Rule an effective tool of socio-ontological transformation towards ideal agency.

The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the (...) force of gravitation. (shrink)

One side of this paper is devoted to showing that the Golden Rule, understood as standing for universal love, is centrally characteristic of Confucianism properly understood, rather than graded, familial love. In this respect Confucianism and Christianity are similar. The other side of this paper is devoted to arguing contra 18 centuries of commentators that the negative sentential formulation of the Golden Rule as found in Confucius cannot be converted to an affirmative sentential formulation (as is found in (...) Christianity) without a change in its meaning. In this respect Confucianism and Christianity are different. (shrink)

This paper interprets Sir James Frazer’s The Golden Bough as presenting an objection to diffusionism: the diffusionist theory cannot account for the isolation of the rite Frazer focuses on, in the societies studied by classicists.

This paper responds to Mary Beard’s assessment of the claim that Frazer’s book The Golden Bough was popular because it provided practical aid for colonialists. Beard rejects this as an inadequate explanation: reference to colonialism is part of an adequate explanation, but a full explanation must go beyond this particular ism. I present two objections to the case she makes for her inadequacy conclusion, though I don’t think his book aided much with colonialism.

Mary Beard considers the thesis that Frazer’s book The Golden Bough was popular because it provided practical aid for colonialists. But she introduces another relationship between the book and British colonialism: that it provided an image of the British colonial project as a whole. I present two objections to the proposal that there was this relationship, as well as – in the appendix – flagging a concern about the internal coherence of Beard’s paper with the introduced relationship.

Much has been said about Confucius’ negative formulation of the Golden Rule. Most discussions center on explaining why this formulation, while negative, does not differ at all in intention from the positive formulation. It is my view that such attempts may have the effect of blurring the essential point behind the specifically negative formulation, a point which I hope to elucidate in this essay. It is my first contention that such a negative formulation is consonant with other basic implicit (...) Confucian attitudes such as modesty and the belief in the inherent goodness of human nature. My second contention is that this negative formulation has the intent and/or effect of promoting growth and, more importantly, preventing moral harm. My broader thesis is that the negative version of the Golden Rule does differ significantly from the positive version and that the difference that exists might well have been intended by Confucius to highlight the nature of his most basic moral principle. (shrink)

My paper has two parts. First, I talk about the golden rule. After introducing the rule and its global importance, I explain why many scholars dismiss it as a vague proverb that leads to absurdities when we try to formulate it clearly. I defend the golden rule against such objections. Second, I talk about the golden rule in Persia and Islam; I consider Persian sources and also non-Persian Muslim sources. I show that the golden rule is (...) deeply rooted in Persia and Islam. And I point out special ways that this tradition‘s understanding of the golden rule can contribute to those outside this tradition. (shrink)

In the heart of southeast Texas, an industrial powerhouse often referred to as the 'Golden Triangle', the oil refineries and petrochemical plants stand as stalwart testaments to the region's economic evolution. Interestingly, before the discovery of oil at Spindletop, the lumber and cattle industries powered this region's economy. A profound shift occurred when the Lucas Gusher, a fountain of oil spurting thousands of feet into the air, struck the lands of Spindletop Hill on January 10, 1901. This remarkable discovery (...) of the Spindletop oilfield on a slat dome formation south of Beaumont, Texas, marked the birth of the modern petroleum industry and fundamentally transformed the region's geopolitical, economic, and cultural landscapes. People from all over the country relocated to Gladys City and Beaumont in search of work and new opportunities, creating a boomtown as the town's population swelled from 10,000 to 50,000. The newfound urbanization brought by the oil industry transformed the town and the surrounding areas, creating a ripple effect across the region that would be felt for generations to come. The surge in oil-driven economic activity transmuted the region into a vibrant nexus of commerce, with the oil industry emerging as a critical architect of growth and advancement. This newfound affluence incited by the petroleum sector ushered in an era of economic diversification, laying the groundwork for industrialization’s further evolution. The Spindletop Oil Fields not only underscored the United States’ ascent as the foremost petroleum-producing nation but also signaled the nation’s initiation into the Petroleum Age. It was Spindletop that solidified its position as America’s first significant oil field, becoming an enduring symbol of its industrial might. By 1985, over 153,000,000 barrels of oil had been produced and extracted from the Spindletop oil fields, underscoring the magnitude of this extraordinary resource. (shrink)

In our target article, we argued that the number sense represents natural and rational numbers. Here, we respond to the 26 commentaries we received, highlighting new directions for empirical and theoretical research. We discuss two background assumptions, arguments against the number sense, whether the approximate number system represents numbers or numerosities, and why the ANS represents rational numbers.

On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds (...) or exotic substitutes for number, such as “numerosities” or “quanticals,” as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind of number being represented. In response, we propose that the ANS represents not only natural numbers, but also non-natural rational numbers. It does not represent irrational numbers, however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research. (shrink)

In his book The Ethical Project Philip Kitcher presents an ‘analytical history’ of the development of human ethical practice. According to this history the first ethical norms were launched in the ancient world of the hunters and gatherers and their initial function was to remedy altruism failures. Kitcher wants to show that the emergence of ethical norms can in this case and in general be explained without referring to supernatural causes or philosophical revelation. Furthermore, he claims that the first manifestation (...) of the ethical project still serves as an ideal. In my comment I will contest the plausibility of Kitcher’s analytical history and question whether the presumed characteristics of ethics in prehistoric times could still be binding for us today. (shrink)

This paper criticizes the view that number words in argument position retain the meaning they have on an adjectival or determiner use, as argued by Hofweber :179–225, 2005) and Moltmann :499–534, 2013a, 2013b). In particular the paper re-evaluates syntactic evidence from German given in Moltmann to that effect.

This essay formulates a moral principle I call sustainability’s golden rule. This principle, I will argue, goes a long way in providing correct moral guidance for sustainable development. In laying out these ideas, the essay proceeds as follows: first, a very basic, oft-privileged definition of sustainable development is put forward; second, I make clear how sustainability’s golden rule is formulable from basic moral considerations that explain why sustainable development should be pursued at all; and lastly, I deduce some (...) of the general implications sustainability’s golden rule has for sustainable development. (shrink)

In this paper I analyze a case of extreme response to need of security in the landscape of advanced democracies: the role of Golden Dawn in the management and reproduction of the profound socio-economic crisis in Greece. I argue that the keys behind the success of such a party are to be found in two distinct but self-reinforcing elements: its organizational strength and its anti-system ideology. The most significant organizational structures and activities which transformed Golden Dawn into a (...) quasi-mafia style “industry of private protection” are thus investigated, along with the most important contents of its radical and anti-systemic message. (shrink)

In this article the author concentrates on the use of Indigenous Religion among the Akuapem in Ghana for the construction of their group identity. She discusses the way in which the Akuapem make use of the celebration of an annual indigenous religious festival (Odwira) to strengthen their group identity by self-identification, differentiation and the perception of other cultural groups. Her specific focus is on the common Asante-Akuapem history, the foundation of the Akan Golden Stools, akom dancing and the Odwira (...) festival procession and Durbars. She concludes that Indigenous Religion should not be left out in the study of the construction of group identities in the social sciences. (shrink)

The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence (...) that these ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

In this paper, I try to outline what I take to be Naming and Necessity’s fundamental legacy to my generation and those that follow, and the new perspectives it has opened up for twenty-first century philosophy. The discussion is subdivided into three sections, concerning respectively philosophy of language, metaphysics, and metaphilosophy. The general unifying theme is that Naming and Necessity is helping philosophy to recover a Golden Age, by freeing it from the strictures coming from the empiricist and Kantian (...) traditions and reconnecting it to the world and the objects that populate it. Because of this, in the concluding paragraph I tentatively suggest that Kripke’s philosophy may be seen as a sui generis form of naturalism. (shrink)

Number Nativism is the view that humans innately represent precise natural numbers. Despite a long and venerable history, it is often considered hopelessly out of touch with the empirical record. I argue that this is a mistake. After clarifying Number Nativism and distancing it from related conjectures, I distinguish three arguments which have been seen to refute the view. I argue that, while popular, two of these arguments miss the mark, and fail to place pressure on Number (...) Nativism. Meanwhile, a third argument is best construed as a challenge: rather than refuting Number Nativism, it challenges its proponents to provide positive evidence for their thesis and show that this can be squared with apparent counterevidence. In response, I introduce psycholinguistic work on The Tolerance Principle (not yet considered in this context), propose that it is hard to make sense of without positing precise and innate representations of natural numbers, and argue that there is no obvious reason why these innate representations couldn’t serve as the basis for mature numeric conception. (shrink)

After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated (...) with the golden ratio are also involved in both the calculation of the fine-structure constant and the proton-electron mass ratio. These constants are included in symbolic geometry of historical relevance in the science of the ancients. (shrink)

The Golden Rule is (roughly) as follows: treat others as you would have others treat you. Philosophical reactions to it vary; it has both supporters and detractors. In any case, almost nobody who things critically about morality takes the literal version of the Golden Rule seriously, since there are just too many problems with it. To demonstrate this, I will look at a literal version of the Golden Rule espoused by John C. Maxwell, a well-known and influential (...) motivational speaker, and briefly discuss some of the obvious problems that it faces. I will then examine a more sophisticated version of the Golden Rule espoused by philosopher Harry Gensler. While able to overcome some of the problems of the literal Golden Rule, Gensler's version nevertheless shares a common difficulty with it: in both cases, the moral agent is asked to imagine themselves in the place of another. Maxwell things this is easily done, and Gensler asks for vividness and accuracy in this act of imagination. I wish to show that any version of the Golden Rule that takes seriously the need to imagine oneself in the place of another is to ask one to do the impossible, so any versions of the Golden Rule that require this should be rejected. (shrink)

It is often assumed that adaptation — a temporary change in sensitivity to a perceptual dimension following exposure to that dimension — is a litmus test for what is and is not a “primary visual attribute”. Thus, papers purporting to find evidence of number adaptation motivate a claim of great philosophical significance: That number is something that can be seen in much the way that canonical visual features, like color, contrast, size, and speed, can. Fifteen years after its (...) reported discovery, number adaptation’s existence seems to be nearly undisputed, with dozens of papers documenting support for the phenomenon. The aim of this paper is to offer a counterweight — to critically assess the evidence for and against number adaptation. After surveying the many reasons for thinking that number adaptation exists, we introduce several lesser-known reasons to be skeptical. We then advance an alternative account — the old news hypothesis — which can accommodate previously published findings while explaining various (otherwise unexplained) anomalies in the existing literature. Next, we describe the results of eight pre-registered experiments which pit our novel old news hypothesis against the received number adaptation hypothesis. Collectively, the results of these experiments undermine the number adaptation hypothesis on several fronts, whilst consistently supporting the old news hypothesis. More broadly our work raises questions about the status of adaptation itself as a means of discerning what is and is not a visual attribute. (shrink)

The Golden Rule (“what you want done [or not done] to yourself, do [or don’t do] to others”) is the most widely accepted summary statement of human morality, and even today it continues to have philosophical supporters. This article argues that the Golden Rule suffers from four faults, the first two related to the ethics of justice and the second two related to the ethics of benevolence. One, it fails to explain how to deal with non-reciprocation. Two, it (...) fails to make clear that my obligations are obligations regardless of how I would wish to be treated by others. Three, it lacks any special value in explaining the right occasions for benevolence. And, four, it has no power to motivate benevolence. (shrink)

One of the most common ancient moral teachings of considering oneself as equal with others is called the Golden Rule, which has long been the focus of different schools in time and world. This rule, as an important moral value and norm, by "adopting another perspective" (perspective_taking) causes the mutual understanding of individuals and is the cornerstone of other moral standards. . The implementation of this rule requires accurate knowledge of the needs, good and evil of others with one's (...) own conscience. In fact, to implement this rule, one must imagine oneself in another position, which causes a kind of epistemological-motivational empathy. The golden rule means "treat others as you would like to be treated" and the golden rule "do not like what others do not like for themselves" is explicitly or with different interpretations in Nahj al-Balaghah. This research uses a descriptive and analytical method and through the collection of library information to try to explain the different interpretations of the golden and silver rules in Nahj al-Balagheh. According to the results of this study, fairness, justice, compassion, identification of self-interests with others, forgiveness, meeting with different sections of society and self-discipline are among the conceptual forms of the golden rule in the words of Amir. (shrink)

This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within (...) mainstream number cognition research, along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts. (shrink)

Suppose we can save either a larger group of persons or a distinct, smaller group from some harm. Many people think that, all else equal, we ought to save the greater number. This article defends this view (with qualifications). But unlike earlier theories, it does not rely on the idea that several people's interests or claims receive greater aggregate weight. The argument starts from the idea that due to their stakes, the affected people have claims to have a say (...) in the rescue decision. As rescuers, our primary duty is to respect these procedural claims, which we must do by doing what these people would decide, in a process where each is given an equal vote on the matter. So in cases where each votes in their own self-interest, respect for their equal right to decide, or their autonomy, will lead us to save the greater number. The argument is explained in detail, with special attention to the questions of how, exactly, it avoids aggregation, and of why majority rule is superior to lottery procedures. The view has further advantages. Especially, it explains the “partial” relevance of numbers in cases involving unequal harms, and it does so in a way that dissolves the appearance of paradox that besets theories of “partial aggregation.”. (shrink)

With the aid of some results from current linguistic theory I examine a recent anti-Fregean line with respect to hybrid talk of numbers and ordinary things, such as ‘the number of moons of Jupiter is four’. I conclude that the anti-Fregean line with respect to these sentences is indefensible.

Pythagoras’s number doctrine had a great effect on the development of science. Number – the key to the highest reality, and such approach allowed Pythagoras to transform mathematics from craft into science, which continues implementation of its project of “digitization of being”. Pythagoras's project underwent considerable transformation, but it only means that the plan in knowledge is often far from result.

The question whether numbers are objects is a central question in the philosophy of mathematics. Frege made use of a syntactic criterion for objethood: numbers are objects because there are singular terms that stand for them, and not just singular terms in some formal language, but in natural language in particular. In particular, Frege (1884) thought that both noun phrases like the number of planets and simple numerals like eight as in (1) are singular terms referring to numbers as (...) abstract objects. (shrink)

One of the most important abilities we have as humans is the ability to think about number. In this chapter, we examine the question of whether there is an essential connection between language and number. We provide a careful examination of two prominent theories according to which concepts of the positive integers are dependent on language. The first of these claims that language creates the positive integers on the basis of an innate capacity to represent real numbers. The (...) second claims that language’s function is to integrate contents from modules that humans share with other animals. We argue that neither model is successful. (shrink)

In this article, the Golden Rule, a central ethical value to both Judaism and Confucianism, is evaluated in its prescriptive and proscriptive sentential formulations. Contrary to the positively worded, prescriptive formulation – “Love others as oneself” – the prohibitive formulation, which forms the injunction, “Do not harm others, as one would not harm oneself,” is shown to be the more prevalent Judaic and Confucian presentation of the Golden Rule. After establishing this point, the remainder of the article is (...) dedicated to an inquiry into why this preference between the two Golden-Rule-formulations occurs. In doing so, this article discovers four main benefits to the proscriptive formulations: I) harm-doing, as opposed to generalizable moral goodness, is easier for individuals to subjectively comprehend II) the prevention of harm-doing is the most fundamental ethical priority III) the proscriptive formulation preserves self-directed discovery of what is good, thus preserving moral autonomy IV) individuals are psychologically pre-disposed toward responding to prohibitions rather than counsels of goodness. (shrink)

According to a tradition stemming from Quine and Putnam, we have the same broadly inductive reason for believing in numbers as we have for believing in electrons: certain theories that entail that there are numbers are better, qua explanations of our evidence, than any theories that do not. This paper investigates how modal theories of the form ‘Possibly, the concrete world is just as it in fact is and T’ and ‘Necessarily, if standard mathematics is true and the concrete world (...) is just as it in fact is, then T’ bear on this claim. It concludes that, while analogies with theories that attempt to eliminate unobservable concrete entities provide good reason to regard theories of the former sort as explanatorily bad, this reason does not apply to theories of the latter sort. (shrink)

This chapter presents arguments for two slightly different versions of the thesis that the value of persons is incomparable. Both arguments allege an incompatibility between the demands of a certain kind of practical reasoning and the presuppositions of value comparisons. The significance of these claims is assessed in the context of the “Numbers problem”—the question of whether one morally ought to benefit one group of potential aid recipients rather than another simply because they are greater in number. It is (...) argued that many of the popular approaches to this problem—even ones that avoid the aggregation of personal value—are imperiled by the incomparability theses. -/- . (shrink)

The number of bricks in a ziggurat is a sum of consecutive squares.

Peer review process helps in evaluating and validating of research that is published in the journals. U.S. Office of Research Integrity reported that data fraudulence was found to be involved in 94% cases of misconduct from 228 identified articles between 1994–2012. If fraud in published article are significantly as high as reported, the question arise in mind, were these articles peer reviewed? Another report said that the reviewers failed to detect 16 cases of fabricated article of Jan Hendrick Schon. Superficial (...) peer reviewing process does not reveals suspicion of misconduct. Lack of knowledge of systemic review process not only demolish the academic integrity in publication but also loss the trust of the people of the institution, the nation, and the world. The aim of this review article is to aware stakeholders specially novice reviewers about the peer review system. Beginners will understand how to review an article and they can justify better action choices in dealing with reviewing an article. (shrink)

The present essay is a compact form of the results obtained during many decades of research into the primeval foundations of the collective fields of force, both social and of consciousness. Since everything is determined by their origins, and the collective forces arise from the mind, we had to explore the ultimate origins of mind. We have come to recognize the law of interactions as the law and necessity which determine the primeval origins of mind. It also determines the substance (...) and essence of the Universe and the modes of its existence and functioning. The present essay is a concise form of results obtained during many decades of research in the primeval foundations of collective, both social and consciousness fields. I point out that a yet unknown type of forces existed in the Golden Age, which I termed as collective force. In the Golden Age mankind lived in communities which had a full unity. The communal life developed its collective forms, of which the most significant are the development of human speech, of language, share of work and the development of the communal fests. The law determining the primeval origins of mind is the cosmic law of interactions. It defines the substance of the Universe and the ways of its existence and activity. A detailed analysis is presented on the nature of the lay of interaction here. One consequence of this fundamental principle is the general prevalence of the principle of mutuality, which plays a basic role in the understanding of the unfolding and degeneration of consciousness. The principle of mutuality determines the changes of every levels of life. The laws of the generation of consciousness in the ages of evolution toward Homo and the Golden Age are analysed. I presented some evidences indicating the factual existence of the Golden Age, as well as its destruction, which was necessarily accompanied by the overthrow of the consciousness of the Golden Age, its repression and replacement by the newly developed rational, upper or superficial mind. Starting from the consideration that our mind is a product of our history, the phenomenon of the 'double mind' is recognised, the largely antagonistic duality of human mind. It is succeeded to solve the riddle of the double mind and determining its substance. Our double mind, consisting of the ‘upper’ or rational mind and the ‘deep-mind’, is a creature of the two fundamental ages of mankind, that of the age of power domination and the Golden Age. Therefore it expresses the duality of our history. We attempted to explore the heritage of the Golden Age embedded into our world of instincts, sexuality, emotional and sensual world, and the expressions of this heritage according to the different periods of our lives. If we will succeed in enlightening the deep-mind it may make it possible to give back the long-forgotten collective fields of forces to mankind, unavailable to the surface mind at present, and would expand the all-pervasive power of the conscious mind significantly. Hopefully, our results open up new vistas for the research of the collective fields and the double nature of the human mind, and may enable us to know and complete ourselves more deeply and thoroughly. (shrink)

A common view is that natural language treats numbers as abstract objects, with expressions like the number of planets, eight, as well as the number eight acting as referential terms referring to numbers. In this paper I will argue that this view about reference to numbers in natural language is fundamentally mistaken. A more thorough look at natural language reveals a very different view of the ontological status of natural numbers. On this view, numbers are not primarily treated (...) abstract objects, but rather 'aspects' of pluralities of ordinary objects, namely number tropes, a view that in fact appears to have been the Aristotelian view of numbers. Natural language moreover provides support for another view of the ontological status of numbers, on which natural numbers do not act as entities, but rather have the status of plural properties, the meaning of numerals when acting like adjectives. This view matches contemporary approaches in the philosophy of mathematics of what Dummett called the Adjectival Strategy, the view on which number terms in arithmetical sentences are not terms referring to numbers, but rather make contributions to generalizations about ordinary (and possible) objects. It is only with complex expressions somewhat at the periphery of language such as the number eight that reference to pure numbers is permitted. (shrink)