We review different studies of the Periodic Law and the set of chemical elements from a mathematical point of view. This discussion covers the first attempts made in the 19th century up to the present day. Mathematics employed to study the periodic system includes number theory, information theory, order theory, set theory and topology. Each theory used shows that it is possible to provide the Periodic Law with a mathematical structure. We also show that it is possible (...) to study the chemical elements taking advantage of their phenomenological properties, and that it is not always necessary to reduce the concept of chemical elements to the quantum atomic concept to be able to find interpretations for the Periodic Law. Finally, a connection is noted between the lengths of the periods of the Periodic Law and the philosophical Pythagorean doctrine. (shrink)

The theme surrounding scientific discoveries is quite neglected in and about the sciences, especially in terms of historical and epistemological understanding. Discoveries are often treated as simple information about dates, places, and people. This work presents discussions centered on historical episodes related to chemical elements and the Periodic Law, based on reflections by Thomas Kuhn and Norwood Hanson, aiming to highlight and contextualize specific scientific discoveries' conceptual and epistemological structure. With that in mind, issues related to the inseparability of (...) the contexts of discovery and justification are recovered, along with the complex intrinsic structures of the genesis of scientific knowledge and distinct types and categories of scientific discoveries. (shrink)

In the Periodic Tables the transition from atoms to double-charged cations is accompanied by alterations in the composition of s and p blocks and reciprocal location of blocks, as well as by changes in the composition and length of periods. We have previously described the relationship between the atom properties and the total number of differentiating electrons. This paper demonstrates that, despite the above transition-related alterations, this relationship is also valid for the description of the properties of double-charged cations. (...) This can be exemplified by the dependence of the ionization energy on the total number of p electrons in p block, d electrons in d block, and f electrons in f block. Furthermore, a single periodic equation is sufficient for the description of properties of all of double-charged cations from each block. (shrink)

The spiral form of the Periodic Law is proposed as its fundamental graphic representation. This idea is based on the fact that the spiral is the most appropriate form in description transitions from simple to complicated. The spiral is easily obtained from the linear succession of the elements when they are ranged by growing nuclear charge. The spiral can be simply transformed into many other graphic representations, including tables. This paper suggests the conception of the autonomy of blocks. This (...) autonomy is clearly seen in the variation of the outer electronic shells, in the width and the height of the blocks, as well as the number and properties of elements included therein. The regularities in the changes of element properties are pronounced in certain blocks but actually absent in others. The blocks can be permuted to obtain full-fledged versions of Periodic Table. The new stage of the verification of the blocks autonomy is the use of the total number of the differentiating electrons as an independent variable in describing the properties of the elements and their compounds. Consideration of individual blocks made it possible to deduce the periodic equations valid for all the elements within each block. Formulation of the Periodic Law is advanced: while describing characteristic determining the properties of the elements, the nuclear charge is replaced by the total number of differentiating electrons. Two modifications of the conventional Periodic Table are obtained by minimal changes. The first one shows the secondary and the additional periodicites. Another table shows the total number of differentiating electrons for each element. (shrink)

The current status of explanation worked out by Physics for the Periodic Law is considered from philosophical and methodological points of view. The principle gnosiological role of approximations and models in providing interpretation for complicated systems is emphasized. The achievements, deficiencies and perspectives of the existing quantum mechanical interpretation of the Periodic Table are discussed. The mainstream ab initio theory is based on analysis of selfconsistent one-electron effective potential. Alternative approaches employing symmetry considerations and applying group theory usually (...) require some empirical information. The approximate dynamic symmetry of one-electron potential casts light on the secondary periodicity phenomenon. The periodicity patterns found in various multiparticle systems (atoms in special situations, atomic nuclei, clusters, particles in the traps, etc) comprise a field for comparative study of the Periodic Laws found in nature. (shrink)

The heated debates and severe conflicts between the atomists and the anti-atomists of the latter half of the nineteenth century are well known to the historian of science. The position of Dmitrii Ivanovich Mendeleev towards these nineteenth century debates on atomism will be studied in this paper. A first attempt will thus be offered to reconcile Mendeleev’s seemingly contradictory comments and ambiguous standpoints into one coherent view.

In this paper, domain-specificity is presented as an understudied problem in chemical education. This argument is unpacked by drawing from two bodies of literature: learning of science and epistemology of science, both themes that have cognitive as well as philosophical undertones. The wider context is students’ engagement in scientific inquiry, an important goal for science education and one that has not been well executed in everyday classrooms. The focus on science learning illustrates the role of domain specificity in scientific reasoning. (...) The discussion on epistemology of science presents ideas from the emerging field of philosophy of chemistry to highlight the much neglected area of epistemology in chemical education. Domain-specificity is exemplified in the context of chemical laws, in particular the Periodic Law. The applications of the discussion for chemical education are explored in relation to argumentation, itself an epistemologically grounded discourse pattern in science. The overall implications include the need for reconceptualization of the nature of teaching and learning in chemistry to include more particular epistemological aspects of chemistry. (shrink)

This paper addresses the conceptual as well as social origins of Mendeleev’s discovery of the periodic law and its reception by the chemical community by taking account of three factors: Mendeleev’s early research and its relevance to the discovery; his concepts of chemistry, especially that of the chemical elements; and the social context of the discovery and the reception in the chemical community. Mendeleev's clear distinction between abstract elements and simple bodies was a departure from Lavoisier’s famous definition of (...) elements as an endpoint of analysis and originated from his research in indefinite compounds. As a comparison, the paper also analyzes Lothar Meyer’s approach to the classification of the elements. Mendeleev’s new concept of chemical elements and the existence of an audience in the form of the newly established Russian Chemical Society, and his ``German connection'', helped Mendeleev in his discovery and its reception. (shrink)

According to relativists, people who speak simply of what's ‘true’ are naïve. ‘Whose truth?’ asks the relativist. ‘No claim is ever true, period. What's true is always true for someone. It's true relative to a particular person or culture. There's no such thing as the absolute truth on any issue.’ This sort of relativism is certainly popular. For example, many claim that we are wrong to condemn cultures with moral codes different from our own: their moralities are no less valid. (...) Similarly, some claim that while astrology and Feng Shui might be ‘false’ from a Western, scientific viewpoint, they are ‘true’ when viewed from alternative, New Age points of view. What's ‘true’ and what's ‘false’ ultimately depend on where one is standing. Is this sort of relativism about truth tenable? (shrink)

ABSTRACTBuilding on Google's efforts to scan millions of books, this article introduces methodology using a database of annual word frequencies of the 40,000 most frequently occurring words in the American literature between 1800 and 2009. The current paper uses this methodology to replicate and identify terror management processes in historical context. Variation in frequencies of word usage of constructs relevant to terror management theory are investigated over a time period of 209 years. Study 1 corroborated previous TMT findings and demonstrated (...) that word use of constructs related to death and of constructs related to patriotism and romantic relationships significantly co-vary over time. Study 2 showed that the use of the word “death” most strongly co-varies over time with the use of medical constructs, but also co-varies with the use of constructs related to violence, relationships, religion, positive sentiment, and negative sentiment. Study 3 foun... (shrink)

Physical activity and sedentary behaviour have been linked to the mental health of children and adolescents, yet the timing of behaviours may play a role in this relationship and clarifying this could inform interventions. We explored cross-sectional associations of PA and SED in varying time segments throughout the school day with the mental health of school-aged children and adolescents from rural Northeastern Ontario, Canada. A total of 161 students wore accelerometers for 8 days and completed a self-report survey. Mental health (...) was measured using the Strengths and Difficulties Questionnaire. Accelerometer-measured SED, light PA, and moderate and vigorous PA were estimated in the time-segments before school, school time, after school, and evenings. Associations were tested with multilevel linear regressions while adjusting for confounding factors. Students spent 72.6 min in MVPA, 209.0 min in LPA, and 621.0 min in SED per day. Daily SED was associated with less conduct problems. Evening LPA was inversely associated with hyperactivity, while SED was associated with hyperactivity and with peer problems before school, and during school. No associations were observed for MVPA, emotional symptoms, or prosocial behaviour. In conclusion, displacing SED with LPA in some specific periods of the day may benefit the mental health of students; taking this into account could strengthen interventions. (shrink)

Dürziler, gerek itikadi açıdan gerekse de hukuki prensipleri bağlamında Osmanlı-Hanefi ideolojisi dışında kalan bir cemaatti. Bununla birlikte Dürzi liderler 19. Yüzyılın başlarına kadar devletin Cebel-i Lübnan’daki idari tem-silcileri olarak siyasi otoriteyi ellerinde tutmayı başardılar. Bunun yanı sıra geleneksel hukuklarını da koruyan Dürziler, Osmanlı Devleti’nin sosyal yapısını oluşturan Millet Sistemi içinde farklı bir pozisyonda kimlik edindiler. Tanzimat reformlarının Cebel-i Lübnan’da uygulanmaya başlaması ise Dürzilerin kimlik tanımlarında siyasi paradigmaların dışına çıkmalarına sebep olmuş, Osmanlı kimliğini İslami terminolojiyle tamamlamak adına hareket eden cemaat, hukuki (...) statülerini bir meşruiyet aracı olarak kullanmaya başlamış ve devletin değişen reformist duruşu karşısında farklı bir hukuki yer edinmeye çalışmışlardı. Bu çalışma, Cebel-i Lübnanlı Dürzilerin Osmanlı Devleti’nin son zamanlarında ortaya çıkan kimlik problemine bakışlarını ele almakta, cemaatin meşruiyet kaygılarına karşı aldığı tedbir ve devletin hukuk politikasını incelemektedir. Araştırmada kendi kaynaklarında ve Osmanlı arşivinde yer alan bazı Dürzi davalarından örnekler verilerek cemaatin iç hukukuna değinilmiş, ayrıca devletin mezhep siyasetinde izlediği yöntemin Dürziler üzerindeki etkisi analiz edilmiştir. (shrink)

In the Medieval period, Roman law and canon law formed ius commune or the common European law. The similarity between Roman and canon law was that they used the same methods and the difference was that they relied on different authoritative texts. In their works canonists and civilists combined the ancient Greek achievements in philosophy with the Roman achievements in the field of law. Canonists were the first who carried out research on the distinctions between various legal sources and systematized (...) them according to a hierarchical order. The Medieval civilists sought solutions in canon law for a large number of problems that Justinian’s Codification did not hinge on or did it only superficially. Solutions offered by canon law were accepted not only in the civil law of Continental Europe, but also in the English law. (shrink)

This article focuses on the Russian chemist Dmitri Ivanovich Mendeleev's assessment of certain representations of various aspects of the periodic system that employed more mathematical methodology. The equations of interest were created by E. J. Mills, B. N. Chicherin, and J. H. Vincent. The English chemist Mills tried to find a firmer numerical basis for the periodicity of the elements. The Russian lawyer and political philosopher Chicherin was convinced of the existence of a mathematical law underlying the periodic (...) system. The English physicist Vincent explored the connection between atomic weights and the elements' order in listings based on atomic weights—a project which he associated with the periodic system of elements. Although, for Mendeleev, the equations of Mills, Chicherin, and Vincent promised a more precise expression of the law of periodicity, he continued to invoke his earlier standards. In particular, Mendeleev wanted the equations to respect the individuality of the elements, and called for completeness in conveying the complexities of chemical phenomena. Thus, the very qualities that he had valued while developing his periodic system in 1869–1871 also characterised his evaluation of the new means of representing aspects of that system. (shrink)

This article discusses the mathematizing of the chemical periodic system as a grid, which leads to a quadratic function or “binódica function” formed by pairs of periods or binodos. We describe the periodic law as an increasing function of the principal quantum number. It works subject to the dialectical laws that generate; first: gradual quantitative changes:, with “duplication” of periods:. Second: radical quantitative changes:, with the emergence of new quantum transitions, growth and a change in the format of (...) the binodos. We use analytical and graphic methods to mathematize Mendeleev’s law, making the size of the binodos and the continuous series depend on the number of the binode, which is the same quantum number. Likewise, we show a graphic representation, in 2D, of a continuous and self-similar spiral function of the elements, in a geometric growth pattern. (shrink)

The Laws of Thought is an exploration of the deductive and inductive foundations of rational thought. The author here clarifies and defends Aristotle’s Three Laws of Thought, called the Laws of Identity, Non-contradiction and Exclusion of the Middle – and introduces two more, which are implicit in and crucial to them: the Fourth Law of Thought, called the Principle of Induction, and the Fifth Law of Thought, called the Principle of Deduction. This book is a thematic compilation drawn from past (...) works by the author over a period of twenty-three years (1990-2013). (shrink)

Both law and science went through revolutionary changes in England in the first half of the seventeenth century, a period of pandemic, conflict, and climate change. The circle of Samuel Hartlib (c. 1600–62) sought a way to regenerate society through reform and innovation. One member of the circle was Sir Cheney Culpeper (1601–66), a barrister and landowner, whose correspondence shows an attempt to synthesize law and natural philosophy into a coherent vision of regeneration. He wrestled as much with how change (...) could be achieved as with what changes would be beneficial. He sought a mutually beneficial relationship between humanity and nature. He urged self-restraint to avoid the abuse of power, political and technological. His most practical and influential work was in agriculture. Paradoxically, however, the efforts of Culpeper and his circle to address the crises of their times have arguably created the very crises of ours. We are, moreover, in what Culpeper describes as a ‘crisis of time’. This essay poses the question as to whether, given the urgency of our situation, we might learn from Culpeper’s generation that regeneration requires revolution as well as reform. (shrink)

This work utilizes examples from chemical sciences to present fundamentals of dialectics and synergetics. The laws of dialectics remain appropriate at the level of atoms, at the level of molecules, at the level of the reactions, and at the level of ideas. The law of the unity and conflict of opposites is seen, for instance, in the relationships between the ionization energy and electron affinity of atoms, between the forward and back reactions, as well as in the differentiation and integration (...) between the various areas of chemistry. The law of the passage of quantitative changes into qualitative changes describes the transformation properties of the compounds when the number and arrangement of atoms in the molecule undergoes changes. According to this law, the development is accompanied by breaks and jumps. This paper suggests equations for the description of these relationships. The law of the negation of the negation is manifested in the Periodic Law, in the evolution of ideas about the mutual transformation of chemical elements, in the development the concept of triads of elements, etc. Small changes in the conventional Periodic Table on the basis of previously rejected versions allow reflecting secondary and additional periodicity. Synergetics, similarly to dialectics, is dedicated to the studies of general laws of evolution. Synergetics includes highly advanced and specified ideas of dialectics. The cornerstone of synergetics is the principles of self-organization and nonlinearity. Mathematical development of these concepts was substantially facilitated by considering oscillating chemical reactions as an example. These reactions are quite complex and therefore provide adequate models for self-organization. Oscillations may exist only upon execution of specific thermodynamic, mathematical, and chemical conditions. Mechanisms of several oscillatory reactions are briefly reviewed. The construction of novel biomimetic or smart materials based on oscillating reactions is described. (shrink)

This is a comment on the paper by Barnes and the responses from Scerri and Worrall, debating the thesis that a fact successfully predicted by a theory is stronger evidence than a similar fact known before the prediction was made. Since Barnes and Scerri both use evidence presented in my paper on Mendeleev’s periodic law to support their views, I reiterate my own position on predictivism. I do not argue for or against predictivism in the normative sense that philosophers (...) of science employ, rather I describe how scientists themselves use facts and predictions to support their theories. I find wide variations, and no support for the assumption that scientists use a single ‘Scientific Method’ in deciding whether to accept a proposed new theory.Keywords: Predictivism; Novel predictions; Accommodation; Periodic law; Periodic table; Dmitri Mendeleev. (shrink)

In the period of emergence of early modern science, ‘monsters’ or individuals with physical congenital anomalies were considered as rare events which required special explanations entailing assumptions about the laws of nature. This concern with monsters was shared by representatives of the new science and Late Scholastic authors of university textbooks. This paper will reconstruct the main theses of the treatment of monsters in Late Scholastic textbooks, by focusing on the question as to how their accounts conceived nature’s regularity and (...) teleology. It shows that they developed a naturalistic teratology in which, in contrast to the naturalistic explanations usually offered by the new science, finality was at central stage. This general point does not impede our noticing that some authors were closer to the views emerging in the Scientific Revolution insofar as they conceived nature as relatively autonomous from God and gave a relevant place to efficient secondary causation. In this connection, this paper suggests that the concept of the laws of nature developed by the new science –as exception-less regularities—transferred to nature’s regularity the ‘strong’ character that Late Scholasticism attributed to finality and that the decline of the Late Scholastic view of finality played as an important concomitant factor permitting the transformation of the concept of laws of nature. (shrink)

The debate about the relative epistemic weights carried in favour of a theory by predictions of new phenomena as opposed to accommodations of already known phenomena has a long history. We readdress the issue through a detailed re-examination of a particular historical case that has often been discussed in connection with it—that of Mendeleev and the prediction by his periodic law of the three ‘new’ elements, gallium, scandium and germanium. We find little support for the standard story that these (...) predictive successes were outstandingly important in the success of Mendeleev's scheme. Accommodations played an equal role—notably that of argon, the first of the ‘noble gases’ to be discovered; and the methodological situation in this chemical example turns out to be in interesting ways different from that in other cases—invariably from physics—that have been discussed in this connection. The historical episode when accurately analysed provides support for a different account of the relative weight of prediction and accommodation—one that is further articulated here. (shrink)

At the heart of chemistry lies the periodic system of chemical elements. Despite being the cornerstone of modern chemistry, the overall structure of the periodic system has never been fully understood from an atomic physics point of view. Group-theoretical models have been proposed instead, but they suffer from several limitations. Among others, the identification of the correct symmetry group and its decomposition into subgroups has remained a problem to this day. In an effort to deepen our limited understanding (...) of the periodic law, we have extended the traditional Lie algebraic framework to account for the peculiar degeneracy structure of the periodic system. Starting from the four-dimensional hidden symmetry and accidental degeneracy of the hydrogen atom, as first revealed by Fock in 1935, our research has mainly focussed on the way this SO(4) symmetry of the Coulomb potential gets broken in the periodic system as a consequence of the transformation of the hydrogenic (n, l) filling order to the Madelung (n+l, n) order due to electronic repulsions, relativistic effects and spin-orbit couplings. In this PhD dissertation, a new left-step format of the periodic table is first proposed on the basis of the Madelung rule. Following the particle physics tradition, the chemical elements are then considered as various states of some 'atomic matter', which is described by a non-compact spectrum-generating dynamical Lie group. The chemical elements are shown to form a basis for a single infinite-dimensional degeneracy space of the SO(4,2) ⊗ SU(2) group. An explanation for the period doubling is then proposed in terms of a particular symmetry breaking of the SO(4,2) group to the anti de Sitter SO(3,2) group. The Madelung rule is rationalised on the basis of nonlinear Lie algebras which reflect the screening of the Coulomb hole. This opens new perspectives for a symmetry-based understanding of how the periodic law emerges from its quantum mechanical foundations, and holds the future promise of complementing our current phenomenological approach by a direct atomic physics approach. (shrink)

The middle of the second until the middle of the first century BCE is one of the most creative periods in the history of human thought, and an important part of this was the interaction between Roman jurists and Hellenistic philosophers. In this highly original book, René Brouwer shows how jurists transformed the study of law into a science with the help of philosophical methods and concepts, such as division, rules and persons, and also how philosophers came to share the (...) jurists' preoccupations with cases and private property. The relevance of this cross-fertilization for present-day law and philosophy cannot be overestimated: in law, its legacy includes the academic study of law and the Western models of dispute resolution, while in philosophy, the method of casuistry and the concept of just property. (shrink)

In the modern period, the most original and influential theories about law and politics were developed in connection with a set of far-reaching, interrelated questions about the definition of law, the purpose of law, the relationship between law and morality, and the existence of natural law and natural rights. In this entry I summarize the contributions of Charles-Louis de Secondat, Baron de La Brède et de Montesquieu; William Blackstone; Jeremy Bentham; and Immanuel Kant as exemplars of the history of modern (...) thought on law and politics. (shrink)

Liberty and Law examines a previously underappreciated theme in legal history―the idea of permissive natural law. The idea is mentioned only peripherally, if at all, in modern histories of natural law. Yet it engaged the attention of jurists, philosophers, and theologians over a long period and formed an integral part of their teachings. This ensured that natural law was not conceived of as merely a set of commands and prohibitions that restricted human conduct, but also as affirming a realm of (...) human freedom, understood as both freedom from subjection and freedom of choice. Freedom can be used in many ways, and throughout the whole period from 1100 to 1800 the idea of permissive natural law was deployed for various purposes in response to different problems that arose. It was frequently invoked to explain the origin of private property and the beginnings of civil government. Several kinds of permissive natural law were identified. Permission could be positive or negative, depending on whether it was specifically conceded by a legislator or only tacitly allowed. It could free from sin or merely remit some temporal punishment that was due. It could commend some conduct without commanding it or permit some evil without condoning it. Medieval canonists used the concept of permissive natural law to harmonize the discordant texts that they found in their sources; William of Ockham found it a powerful tool in his defense of Franciscan poverty against papal criticisms; for Richard Hooker it justified both the constitutional structure and the ritual practices of the Anglican church; John Selden used it to uphold the inviolability of contracts, most importantly the contract of government; Hugo Grotius made it a central theme in his treatment of the conduct permissible in waging war; in the eighteenth century Jean Barbeyrac and Jean-Jacques Burlamaqui associated the idea with the emerging doctrine of natural rights. In Liberty and Law, Tierney has presented us with a magisterial and provocative way of interpreting legal history. (shrink)

This new edition of Law and Medical Ethics continues to chart the ever-widening field that the topics cover. The interplay between the health caring professions and the public during the period intervening since the last edition has, perhaps, been mainly dominated by wide-ranging changes in the administration of the National Health Service and of the professions themselves but these have been paralleled by important developments in medical jurisprudence.

To this day, a hundred and fifty years after Mendeleev's discovery, the overal structure of the periodic system remains unaccounted for in quantum-mechanical terms. Given this dire situation, a handful of scientists in the 1970s embarked on a quest for the symmetries that lie hidden in the periodic table. Their goal was to explain the table's structure in group-theoretical terms. We argue that this symmetry program required an important paradigm shift in the understanding of the nature of chemical (...) elements. The idea, in essence, consisted of treating the chemical elements, not as particles, but as states of a superparticle. We show that the inspiration for this came from elementary particle physics, and in particular from Heisenberg's suggestion to treat the proton and neutron as different states of the nucleon. We provide a careful study of Heisenberg's last paper on the nature of elementary particles, and explain why the Democritean picture of matter no longer applied in modern physics and a Platonic symmetry-based picture was called for instead. We show how Heisenberg's Platonic philosophy came to dominate the field of elementary particle physics, and how it found its culmination point in Gell-Mann's classification of the hadrons in the eightfold way. We argue that it was the success of Heisenberg's approach in elementary particle physics that sparked the group-theoretical approach to the periodic table. We explain how it was applied to the set of chemical elements via a critical examination of the work of the Russian mathematician Abram Ilyich Fet the Turkish-American physicist Asim Orhan Barut, before giving some final reflections. (shrink)

Social life is changing very fast. People are trying to find out reasons of living in a safe society and understand their role in it. The ‘wrong’ and ‘right‘ models of the social life, state and law systems are appearing. In the XXth century, one of them – socialism – made suggestion how to solve social problems, determinated of capitalism. This work deals with the situation of Lithuanian social thought in the Republic of Lithuania (1900-1940). In the article, the standpoint (...) of catholics of socialism is reflected. Catholics displayed socialism as a system, which accumulated many distorted images about human nature, motivations of human behavior, society and its functionating. Considering the society being an organic totality of individuals, but not a faceless mass, and an individual being a personality having natural rights to be respected, but not considered as a little screw without any rights in the state machine, with whom any experiments may be performed, they disclosed Utopia of the idea, proposed by socialists, of the possibility of a perfect society creation by the only preliminarily arranged correct plan,. For this purpose to be achieved, they constructed a model of socialist economy and then destroyed it, demonstrating economical unefficiency of this system. In this manner, intellectuals warned Lithuania and its people about the destructiveness of the realization of such an experiment. In spite of criticism of socialism, some intellectuals, such as A. Maceina, S. Šultė and S. Šalkauskis, appeared to be rather respective to the new social ideas and did not distinguish any social economic system as the best and only one. They thought that all the world, including Lithuania, has to create a new social life and take as a base the progressive ideas of socialism and capitalism. According to the opinion of the catholics, the most reliable way to a safe sočiety and economical welfare passes through the cooperation of individuals and state’s duty to create right laws. Ideological spirit was the main obstacle for the intellectuals to recognize trends of socialism by their aims and methods. That is the reason, why socialism was identified as bolsevism. However, the expression of the intellectuals’ opinion about socialism, its ideological herritage and perspectives enriches the research of the Lithuanian legal phylosophical and political thought and allows to understand better the ideological development of socialism and to define its competence and limits of validity in the contemporary world. Valuable ideas may be fruitfully used in creating a democratic society, social state and the rule of law. (shrink)

The debate about the relative epistemic weights carried in favour of a theory by predictions of new phenomena as opposed to accommodations of already known phenomena has a long history. We readdress the issue through a detailed re-examination of a particular historical case that has often been discussed in connection with it-that of Mendeleev and the prediction by his periodic law of the three 'new' elements, gallium, scandium and germanium. We find little support for the standard story that these (...) predictive successes were outstandingly important in the success of Mendeleev's scheme. Accommodations played an equal role-notably that of argon, the first of the 'noble gases' to be discovered; and the methodological situation in this chemical example turns out to be in interesting ways different from that in other cases-invariably from physics-that have been discussed in this connection. The historical episode when accurately analysed provides support for a different account of the relative weight of prediction and accommodation-one that is further articulated here. (shrink)

Electronegativity, described by Linus Pauling described as “The power of an atom in a molecule to attract electrons to itself” (Pauling in The nature of the chemical bond, 3rd edn, Cornell University Press, Ithaca, p 88, 1960), is used to predict bond polarity. There are dozens of methods for empirically quantifying electronegativity including: the original thermochemical technique (Pauling in J Am Chem Soc 54:3570–3582, 1932), numerical averaging of the ionisation potential and electron affinity (Mulliken in J Chem Phys 2:782–784, 1934), (...) effective nuclear charge and covalent radius analysis (Sanderson in J Chem Phys 23:2467, 1955) and the averaged successive ionisation energies of an element’s valence electrons (Martynov and Batsanov in Zhurnal Neorganicheskoi Khimii 5:3171–3175, 1980), etc. Indeed, there are such strong correlations between numerous atomic parameters—physical and chemical—that the term “electronegativity” integrates them into a single dimensionless number between 0.78 and 4.00 that can be used to predict/describe/model much of an element’s physical character and chemical behaviour. The design of the common and popular medium form of the periodic table is in large part determined by four quantum numbers and four associated rules. However, adding electronegativity completes the construction so that it displays the multi-parameter periodic law operating in two dimensions, down the groups and across the periods, with minimal ambiguity. (shrink)

The 1973 archeological discovery of important documents of classical thought known as the Huang-Lao Boshu coupled with advancements in contemporary jurisprudence make possible a reassessment of the philosophies of pre-Qin and early Han China. This study attempts to elucidate the importance of the Huang-Lao school within the intellectual tradition of China through a comparison of the Boshu's philosophical position, particularly its understanding of the relation between law and morality, with the respective views of major thinkers of the period--Confucius, Han Fei, (...) Lao Zi, Zhuang Zi, and to a lesser extent, Shen Dao, Shen Buhai and the authors of the Guan Zi and He Guan Zi. So doing reveals Huang-Lao to be a unique and sophisticated social and political philosophy which, until its expulsion from court by Emperor Wu and subsequent adoption by Daoist religion, served as the ideological foundation for the post-Qin reforms of the early Han. (shrink)

A large variety of periodic tables of the chemical elements have been proposed. It was Mendeleev who proposed a periodic table based on the extensive periodic law and predicted a number of unknown elements at that time. The periodic table currently used worldwide is of a long form pioneered by Werner in 1905. As the first topic, we describe the work of Pfeiffer, who refined Werner’s work and rearranged the rare-earth elements in a separate table below (...) the main table for convenience. Today’s widely used periodic table essentially inherits Pfeiffer’s arrangements. Although long-form tables more precisely represent electron orbitals around a nucleus, they lose some of the features of Mendeleev’s short-form table to express similarities of chemical properties of elements when forming compounds. As the second topic, we compare various three-dimensional helical periodic tables that resolve some of the shortcomings of the long-form periodic tables in this respect. In particular, we explain how the 3D periodic table “Elementouch”, which combines the s- and p-blocks into one tube, can recover features of Mendeleev’s periodic law. Finally we introduce a topic on the recently proposed nuclear periodic table based on the proton magic numbers. Here, the nuclear shell structure leads to a new arrangement of the elements with the proton magic-number nuclei treated like noble-gas atoms. We show that the resulting alignments of the elements in both the atomic and nuclear periodic tables are common over about two thirds of the tables because of a fortuitous coincidence in their magic numbers. (shrink)

The April 1991 Law of Ukraine "On Freedom of Conscience and Religious Organizations" fell on the hard part, which its creators did not guess, to be the regulator of relations in the religious sphere during the period of radical socio-political, economic and spiritual changes in the Ukrainian society, the permanent religious- church differentiation of churches and religious organizations, separation of previously almost unipolar composition of hierarchs, clergy, believers according to the criteria of national orientation, canonicality.

What is viral law? In order to being my discussion, I note that the last two years have been extremely difficult to understand and that we, meaning those who have lived through the pandemic, have struggled to make sense. Thus, I make the argument that the virus has impacted upon not only the individual’s ability to make sense in a world where every day routines have been upended, but also social and political structures that similarly rely on repetition to continue (...) to function. According to this thesis, Covid-19 is more than simply a biological organism, but also a cultural virus that undermines the organisation of social, political, and economic systems and requires new ways of thinking about how we might move forward into a post-Covid world. In the name of beginning this project of making sense of Covid-19, I track back in history to the comparable reference point of the Spanish flu pandemic of 1918–1920 and, in particular, a reading of Freud’s Beyond the Pleasure Principle, which the founder of psychoanalysis wrote in the shadow of the virus. In reading Freud’s attempt to write a psychology of death in the context of this funereal period of history, I argue that he set out first, a mythological theory of viral law concerned with the death drive, before turning to second, a techno-scientific, biological theory of the same law characterised by microbial immortality. Beyond this exploration of Beyond the Pleasure Principle, in the third part of the article I turn to a reading of Lacan’s interpretation of Freud’s work, where viral law becomes a story of cybernetics and nihilistic mechanisation. Here, perfect mechanisation, and the endless oscillation between message and noise, looks a lot like living death. Finally, I take up Derrida’s critique of Jacob’s molecular biology and, by extension, Freud’s theory of microbial immorality, that he thinks privileges an idea of repetitive sameness and opens up a space for cultural politics concerned with immunity against otherness. Derrida’s key point here is that this biological fantasy ignores the reality of viral sex that enables evolution to happen. What this means is that the other, even in its microbial form, is ever present, and that we must recognise the importance of difference to the possibility of social, political, and economic change. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:146 BOOK REVIEWS Natural Law Theory: Contemporary Essays. Edited by ROBERT P. GEORGE. Oxford: Clarendon Press, 1992. Pp. 371. $39.95 (cloth). As the editor of this volume, Robert P. George points out in his foreword that this hook is yet another manifestation of the renewed and growing interest in natural law theory. But why this recent increased interest in natural law theory? What purpose is this theory supposed to (...) serve, or in what way do its proponents see it as an improvement on existing theories? First of all, it must be noted, as the variety of essays in this volume makes abundantly clear, that natural law theory, as it is presently conceived, most certainly does not represent anything like a unified, single theory of tightly knit principles and conclusions. In the present volume one can easily see a half-dozen or more different approaches to natural law theory. So different in tone and spirit are some of the essays that one can easily wonder if they have enough in common even to classify them as " family resemblances." But if they all in their different ways do indeed evidence, as the editor claims, an increased awareness of and interest in natural law theory, the question immediately arises, why this increased interest? What problems do the advocates of these theories hope to solve by them or what questions do they think their theories will better address than the theories currently in place? First of all, one may make a division which places the theories, however divers~ among themselves, into two general groups. The first of these groups wishes natural law theory to function as a general approach to morality. For this group natural law does the work of a moral theory. In this group I would place the essays of Joseph Boyle, Robert George, Russell Bittinger, John Finnis, and Hadley Arkes (probably). The second group uses natural law theory as a way of determining the connection between moral law and positive law or legal theory. The essays of Jeffrey Stout, Neil MacCormick, Jeremy Waldron, Michael Moore, Lloyd Weinreb, Joseph Raz, and Ernest Weinrib fall into this second category. In all there are twelve essays in this volume. Space will not permit me to give a detailed analysis and critique of each. At most I can only indicate very briefly some of their more salient features. The book is divided into four parts, the first of which is titled "Natural Law, Practical Reasoning and Morality." In the very illuminating first essay of this section, "Natural Law and the Ethics of Traditions," Joseph Boyle undertakes to clarify the question of the relation of natural law theory to tradition. Certain approaches to moral theory currently popular BOOK REVIEWS 147 which are called virtues ethics, of which Alasdair Macintyre would he an example, claim that natural law theory is tradition-dependent. If Macintyre and other virtues ethicists are correct, then since natural law theory is culture-hound, and since the culture in which it was horn and flourished, medieval culture, has irretrievably retreated into the pages of history, then natural law theory is equally dead, of interest, if at all, only in an antiquarian way. Boyle carefully points out that there is more than one sense of being tradition-dependent. It is true that natural law theory is tradition-dependent in the sense that it did indeed come into existence in a particular historic epoch and that its language and thought do indeed express the period of its flourishing, i.e. the medieval period. But this, Boyle is careful to point out, does not mean that its validity and meaning were exhausted with the end of that culture. Rather the tradition is a living tradition so that its rich resources can continue to be exploited as that tradition is enlarged by its application to present day moral problems. Boyle's conclusion then is that in some senses natural law is indeed dependent on an ancient and medieval tradition, hut not so totally dependent that it has lost all validity for contemporary moral theory. In the contribution by Robert George, "Natural Law and Human Nature," George tries to defend Germain Grisez's version of natural law... (shrink)

"This book focuses on a vibrant central current within the history of Russian legal thought: how Christianity, and theistic belief generally, has inspired the aspiration to the rule of law in Russia, informed Russian philosophies of law, and shaped legal practices. In this volume, a team of Western and Russian scholars presents fourteen concise, non-technical portraits of modern Russian jurists and philosophers of law whose thought was shaped significantly by Orthodox Christian faith or theistic belief. Each portrait provides essential biographical (...) information, a description of the jurist's religious views, and a substantive account of the subject's jurisprudential ideas. Each chapter ends with a word about the jurist's legacy in Russia today. The collection embraces the most creative period of Russian legal thought, the century and a half from the later Enlightenment to the Russian emigration following the Bolshevik Revolution and Civil War of 1917-1921. While many of the figures represented in this gallery were liberals, in various sense of the term, the volume reaches across the ideological spectrum. Contributors to the volume include respected senior authorities together with younger scholars of exceptional promise. This book will merit the attention of anyone interested in exploring the connections between law and religion in modern times"--. (shrink)

The subject “rule”, which is one of the most fundamental issues of the Islamic legal theory (usūl al-fiqh), has been in the center of methodological debates. There is one important term in this regard, which should be studied very carefully: Khiṭāb(speech) of the God. It is because that, especially since the first period of Islam, it has been taken with some significant terms in the field of Kalāmsuch as Husn (pretty; good), Qubh (ugly; evil), and the quality of God’s talk. (...) Yet, adopting this term in the description of the “rule” shows that Fiqh is based on divine inspiration, and it also emphasizes that even though there are some differences in details, wisdom of human being is not ignored when adjudicating. Moreover, it suggests that the validity or methodological accuracy of the “rule” which is adjudicated with ruling case is related to the connection through the term speech or divine inspiration. In this regard, Kalāmdimension of the term and its affect to legal theoretical discussions are very important in terms of historical process of the definition of the “rule” in Islamic law. In this study, I tried to examine whether or not the term “khiṭābof the God” which is used in the definition of the “rule” formed a limitation for consideration of legal evidence in Islamic law and if there is any limitation for the legal evidence regarding being only in the Qur’ān and the Sunnah due to this definition.SummaryThe “hukm (rule, arbritation, judgment, God’s will)”-as the backbone notion in usūl al-fiqhis one of the significant key notions discussed in the legal theory. Specifically, the term “khitabullah” mentioned in the definition of hukmis noteworthy to investigate. Since the early formation period of Islamic law, the term khitabullahhas been embraced along with the theological subjects: “husnand qubuh(the good and evil) and kalām(the attribute of speech to Allah)”. The term “khitabullah” in the definition of hukmemphasizes that indeed the source of fiqhis the revelation (wahy) and also emphasizes that the function of reason (‘aql) is not ignored in the process of adjudication- even if there are some nuances in details.Additionally, it presents that the validity or methodological accuracy of the “rule” which is adjudicated with ruling a case is connected to the term speech (khitāb), or in other words to revelation (wahy).On the whole, in the legal theory, the rule of Sharī‘ah is defined as God’s khitab(the communication of God), which means the demand of God relating to the acts of those who are subject of law or the effect of the khitābon the acts of those persons. Although, in the early formative period various explanations were made about what the rule is, it can be understood that the present definition of hukmbegan to evolve towards the end of the 5thcentury (A. H.). It is clear that al-Ghazālī had an impact on the formation of this definition. It is because al-Ghazālī defined the rule of Sharī‘ahas “the communication from God relating to an act of the person who is the subject of law”. After al-Ghazālī, al-Rādī and al-Baydāwī added to al-Ghazālī’s definition the words “iqtidā and takhyīr” and Ibn Hājib added “wad‘an”. Whereas in the Mutakallimun(theologians) tradition, Ibn Hacib's definition was preferred, Fuqaha(jurists) tradition chose two definitions-resembling each other: “Those coming to exist with the khitāb” and “the effect of God’s khitāb”.Along with al-Ghazālī’s definition, the concept of khitābcarved out a niche for itself in it and became the main element of the definition. It is understood that some discussions in the field of theology, such as husn-qubhand God’s attribute of speech have been effective on the interpretation of the concept of khitāb. The Ash‘arilegal theorists argue that the good and evil are not attributes of the self / the acts, whereas the Maturidi legal theorists argue that the exploration and determination of these attributes is rational and thus, the verdict reached via this rationale is lawful. The Maturidi legal theorists initiated the concept of being subject of law with the concept Sharī‘ah and in the line with this opinion; they defined hukmon the basis of khitāb. On the other hand, the Mutazilites’ claiming the attribute of good and evil are inherent feature of the act, did not define hukmon the basis of the khitābaccording to their theological understanding. The word of khitābassessed with God’s eternal speech (al-kalām al-azalī) has been approached from various aspects: for instance, whether the presence of the addressee is mandatory. The early Asharites scholars (mutaqaddimun), in particular Imam Asharī, did not entitle the eternal speech as khitāb. They consider that the presence of the interlocutor is necessary in the conversion of Kalāminto khitāb. The mutaakhirunAsharites (successors of the early Asharites scholars) did not consider the presence of the interlocutor necessary, thus they viewed the eternal speech as khitāb. The former identification of the hukmwith khitābby the early Ashari legal theorists caused to the problem of whether hukmis adventitious or not. Therefore, this approach was criticised by the Mutazilites. On the other hand, the Maturidi and Mutezilite legal theorists accept that hukmis adventitious; hence they do not consider as a problem naming the eternal speech of God as khitāb.When the historical course is examined, it can be said that one of the important aspects of the development of hukm’s definition is the use of khitāb. Khitābin some cases is used without possessive construction, in other cases it is used with possessive construction with God, or in possessive construction with shar’ or Shāri’. The most important one within these possessive constructions is the notion “khitaballah”. Therefore, it is necessary for khitaballahto be approached from the angle of the legal theory. In comparison to other terms, this notion narrowed the scope of the rule down. In the meanwhile, it raised the question: how the rule deduced via legal evidences can be incorporated in khitāb? As a consequence of this question, some legal theorists, such as Tūfī, proposed another definition by adducing this question.Although it is commonly accepted that the rules deduced via other evidences are within the context of the khitāb, there are also different descriptions about the concept of khitaballah. The rule is not limited to khitaballahin the conception of traditional interpretation accepting the khitābas eternal speech or literal speech (al-kalām al-lafzī). Because either all evidences are within the context of the khitāb,which is the eternal speech or other evidences are within the context of the khitāb,which is the literal speech. Thus, each result coming to exist with the other evidences is part of the Islamic law. But not all of these rules are considered equal to each other. Because each rule which is deduced from indisputable origin (qatii al-thubut) and is deduced from completely explicit sources (qatii al-dalala) are accepted as the word of God or the Prophet. On the other hand, other rules deduced via jurisprudence- in other words by jurist’s own value of judgment is viewed as the virtual rule (al-hukm al-zāhir). Such rules do not express absolute certainty. It is unacceptable for these rules to be described as the word of God or the Prophet. In this way, it is clearly understood that the concept of khitaballahmentioned in the description do not introduce restriction to the evidences ofSharī‘ah.We do not see a contradiction when the indefinite rules of Islamic law included in the context of khitāb. Because ijtihāddoes not aim to produce a new rule, on the contrary it functions in order to find out the already existing rules. The legitimacy of the rule obtained through ijtihādemerges from the way that this rule is deduced from the khitāb,which directly or indirectly represents the divine will. In addition, according to us, this legitimacy is not merely limited to versification and conception of the khitāb, but it also includes the function of the reason in (reasonable of the) khitāb. As a matter of fact, trying to solve unlimited cases with limited texts is difficult- in fact this is impossible. The majority of the legal theorists also share this opinion. Then, there is no obstacle in accepting that each rule obtained by authentic source and methodology can be considered part of Islamic law by implicating the rule in the context of khitāb(which represents the divine will) - although it may contain error and presumption. (shrink)

This book is a large-scale historical reconstruction of liberal legalism, from its inception in the mid-nineteenth century, the moment in which the jurists forged the alliance between political liberalism and legal expertise embodied in classical private law doctrine, to the contemporary anxiety about the possibility of both a liberal solution to the problem of political justification and of law as a respectable form of expert knowledge. Each stage in the history is a moment of synthesis between a substantive and a (...) methodological idea. The former is the liberal political theory of the period, purporting to provide a solution to the problem of political justification. The latter is a conception of legal method or science, supposedly vindicating the access of the expert to the political choices embodied in the law. Thus, each moment in the history of liberal legalism integrates a political theory with a jurisprudential conception. Although it reaches the unsettling conclusion that liberal legalism has largely failed by its own standards, the book urges us to avoid quietism, skepticism or cynicism, in the hope that a deeper understanding of the fragility of our values and institutions inspires a more thoughtful, broadminded and nurtured citizenship. (shrink)