The periodic table of the elements is one of the most powerful icons in science: a single document that captures the essence of chemistry in an elegant pattern. Indeed, nothing quite like it exists in biology or physics, or any other branch of science, for that matter. One sees periodic tables everywhere: in industrial labs, workshops, academic labs, and of course, lecture halls. It is sometimes said that chemistry has no deep ideas, unlike physics, which can boast quantum mechanics and (...) relativity, and biology, which has produced the theory of evolution. This view is mistaken, however, since there are in fact two big ideas in chemistry. They are chemical periodicity and chemical bonding, and they are deeply interconnected. The observation that certain elements prefer to combine with specific kinds of elements prompted early chemists to classify the elements in tables of chemical affinity. Later these tables would lead, somewhat indirectly, to the discovery of the periodic system, perhaps the biggest idea in the whole of chemistry. Indeed, periodic tables arose partly through the attempts by Dimitri Mendeleev and numerous others to make sense of the way in which particular elements enter into chemical bonding. (shrink)

The periodic table may be seen as the most successful example of inquiry in the history of science, both in terms of practical application and theoretic understanding. As such, it serves as a model for truth as it emerges from inquiry. This paper offers a sketch of a central moment in the history of chemistry that illustrates an intuitive metamathematical construction, a model of emerging truth. The MET, reflecting the structure the surrounds the periodic table, attempts to capture the salient (...) epistemological elements that warrant truth claims based on sets of models that are progressive in light of both empirical and theoretical advance seen over time. (shrink)

The basis of the Periodic Table is discussed. Electronic configuration recurs in only 21 out of the 32 groups. A better basis is derived by considering the highest classical valency (v) exhibited by an element and a new measure, the highest valency in carbonyl compounds (v*). This leads to a table based on the number of outer electrons possessed by an atom (N) and the number of electrons required for it to achieve an inert (noble) gas configuration (N*). Periodicity (...) of these is nearly complete. The new basis helps to settle the question of the best form of table and related issues. (shrink)

The philosopher of chemistry Andrea Woody has recently published a wide-ranging article concerning the turn to practice in the philosophy of science. Her primary example consists of the use of different forms of representations by Lothar Meyer and Mendeleev when they presented their views on chemical periodicity. Woody believes that this distinction can cast light on various issues including why Mendeleev was able to make predictions while Meyer was not. Secondly, she claims that it can clarify the much-debated question (...) concerning the relative values of prediction and accommodation of data in the way that the periodic system was accepted. Thirdly, Woody believes that such differences in the representation of periodicity can be used to argue for the explanatory nature of the periodic table in contrast with the more traditional view that the periodic table is not explanatory. (shrink)

While symbolic colour use has always played a conspicuous role in science research and education, the use of colour in historic diagrams remains a lacuna in the history of science. Investigating the colour use in diagrams often means uncovering a whole cosmology that is not otherwise explicit in the diagram itself. The periodic table is a salient and iconic example of non-mimetic colour use in science. Andreas von Antropoff's (1924) rectangular table of recurrent rainbow colours is famous, as are Alcindo (...) Flores Cabral's (1949) application of colour in his round snail form, using the RGB scheme, and Mazurs's (1967) pine tree system, consisting of warm and cold colours that he attributed to specific groups of elements—an attribution that we can relate back to humoralism and alchemy. From the first periodic tables in the 19th century, individual researchers have used different colour regimes. While standardization may play an obvious role in chemistry and its diagrams, all the more impressive is the anarchistic use of colour in the various diagrams which continue to be created. This article focuses on periodic tables in chemical journals and text books, and explores and compares the development of colour codes found in the few existing polychrome diagrams from the 1920s to the 1970s. (shrink)

Analyzing and modeling interconnections between crucial factors of human development, rates of growth thereof and elasticity of the growth rates, the authors have defined specific periods of the development and have made a forecast for the dynamics of the human resources development. Those periods have been defined more exactly and arranged as follows: the first one – «Before Christ»; the second one – «Early Medieval» (1–1100 a.d.); the third one – «Advanced Medieval» (1101–1625); the forth one – «Pioneer’s Modernization» (1626–1970); (...) the fifth one – «Industrialization» (1871–2030) and the sixth one – «Informational society» – after 2030. The results received enable to make forecasts of the global factors dynamics, to find out unified solutions in socio-economic sphere, to define tendencies in social development and to build up unified strategic approaches for modeling global influence on human resources. (shrink)

The article looks at Novi ecclesiastico-scholastici Annales (…), a periodical which is a significant resource in book culture research. The authors focus mainly on book distribution and propagation in Protestant communities during the last decade of the 18th century.

This paper explores the development of the chemical table as a tool designed for chemical information visualization. It uses a historical context to investigate the purpose of chemical tables and charts, analyzing them from the perspective of theory of tables, cartography, and design. It suggests reasons why the two-dimensional periodic table remains the de facto standard for chemical information display.

In this essay I intend to flesh out and discuss what I consider to be the groundbreaking contribution by the German historian and theorist of history Reinhart Koselleck to postwar historiography: his theory of historical times. I begin by discussing the view, so prominent in the Anglophone context, that Koselleck's idea of the plurality of historical times can be grasped only in terms of a plurality of historical periods in chronological succession, and hence, that Koselleck's theory of historical times is (...) in reality a theory of periodization. Against this interpretation, to be found in works by Kathleen Davis, Peter Osborne, and Lynn Hunt, among others, I will argue that not only is Koselleck's theory of historical times, or, with a more phenomenlogical turn of phrase, his theory of multiple temporalities, not a theory of periodization, it is, furthermore, a theory developed to defy periodization. Hence, at the core of Koselleck's work is the attempt to replace the idea of linear, homogeneous time with a more complex, heterogeneous, and multilayered notion of temporality. In this essay I will demonstrate how this shift is achieved by means of three dichotomies: between natural and historical, extralinguistic and intralinguistic, and diachronic and synchronic time. (shrink)

In case of that human civilization was viewed as an integrated organism, the Periodic Table of the Civilizations (PTOC in short) has been formulated and recommended based on the development level and periodicity of core elements of human civilization. It divides the frontier process of the human civilization from the birth of humankind to the end of twenty-first century into 4 periods and 16 stages, and in which four periods include that of primitive culture, agricultural civilization, industrial civilization and (...) knowledge civilization orderly, and each period includes four stages, that is, start, developing, maturing and transition stages sequentially. There are three approaches for the arrangements of the PTOC, that is, simple, vertical and horizontal tables. The big period of earth civilization refers to that from the primitive culture to the knowledge civilization, and then big period of space civilization will begin with the astronautic civilization. The first modernization witnesses the great changes and transformation from the traditional agricultural to the modern industrial civilization, and then second modernization from the modern industrial to the higher modern knowledge civilization. The periodic table, coordinate system and roadmap of human civilization and world modernization have been formulated to describe the relationship between them. (shrink)

Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge (...) about the systematic application and the history of euler-type diagrams was lost. I will argue that the first expansive period lasted from Vives (1531) to Alsted (1614). The second period began around 1660 with Weigel and ended in 1712 with lange. The third period of expansion started around 1760 with the works of Ploucquet, euler and lambert. Finally, it is shown that euler-type diagrams became popular in the debate about intuition which took place in the 1790s between leibnizians and Kantians. The article is thus limited to the historical periodization between 1530 and 1800. (shrink)

Revision sequences were introduced in 1982 by Herzberger and Gupta as a mathematical tool in formalising their respective theories of truth. Since then, revision has developed in a method of analysis of theoretical concepts with several applications in other areas of logic and philosophy. Revision sequences are usually formalised as ordinal-length sequences of objects of some sort. A common idea of revision process is shared by all revision theories but specific proposals can differ in the so-called limit rule, namely the (...) way they handle the limit stages of the process. The limit rules proposed by Herzberger and by Belnap show different mathematical properties, called periodicity and reflexivity, respectively. In this paper we isolate a notion of cofinally dependent limit rule, encompassing both Herzberger’s and Belnap’s ones, to study periodicity and reflexivity in a common framework and to contrast them both from a philosophical and from a mathematical point of view. We establish the equivalence of weak versions of these properties with the revision-theoretic notion of recurring hypothesis and draw from this fact some observations about the problem of choosing the “right” limit rule when performing a revision-theoretic analysis. (shrink)

Starting from six kinds of periodicity of words we define six sets of words which are primitive in different senses and we investigate their relationships. We show that only three of the sets are external Marcus contextual languages with choice but none of them is an external contextual language without choice or an internal contextual language. For the time complexity of deciding any of our sets by one-tape Turing machines, n2 is a lower bound and this is optimal in (...) two cases. The notions of roots and degrees of words and languages, which are strongly connected to periodicity and primitivity, are also considered, and we show that there can be an arbitrarily large gap between the complexity of a language and that of its roots. (shrink)

Diagonal relationships in the periodic table were recognized by both Mendeléev and Newlands. More appropriately called isodiagonal relationships, the same three examples of lithium with magnesium, beryllium with aluminum, and boron with silicon, are commonly cited. Here, these three pairs of elements are discussed in detail, together with evidence of isodiagonal linkages elsewhere in the periodic table. General criteria for defining isodiagonality are proposed.

The early Periodic Tables displayed an 8-Group system. Though we now use an 18-Group array, the old versions were based on evidence of similarities between what we now label as Group (n) and the corresponding Group (n + 10). As part of a series on patterns in the Periodic Table, in this contribution, these similarities are explored for the first time in a systematic manner. Pourbaix (Eh–pH) diagrams have been found particularly useful in this context.

In the context of a distributive lattice we specify the sort of mappings that could be generally called ''negations'' and study their behavior under iteration. We show that there are periodic and nonperiodic ones. Natural periodic negations exist with periods 2, 3, and 4 and pace 2, as well as natural nonperiodic ones, arising from the interaction of interior and quasi interior mappings with the pseudocomplement. For any n and any even , negations of period n and pace s can (...) also be constructed, but in a rather ad hoc and trivial way. (shrink)

A totally ordered group G is essentially periodic if for every definable non-trivial convex subgroup H of G every definable subset of G is equal to a finite union of cosets of subgroups of G on some interval containing an end segment of H; it is coset-minimal if all definable subsets are equal to a finite union of cosets, intersected with intervals. We study definable sets and functions in such groups, and relate them to the quasi-o-minimal groups introduced in Belegradek (...) et al. . Main results: An essentially periodic group G is abelian; if G is discrete, then definable functions in one variable are ultimately piecewise linear. A group such that every model elementarily equivalent to it is coset-minimal is quasi-o-minimal , and its definable functions in one variable are piecewise linear. (shrink)

Many sensory processing regions of the central brain undergo critical periods of experience‐dependent plasticity. During this time ethologically relevant information shapes circuit structure and function. The mechanisms that control critical period timing and duration are poorly understood, and this is of special importance for those later periods of development, which often give rise to complex cognitive functions such as social behavior. Here, we review recent findings in Drosophila, an organism that has some unique experimental advantages, and introduce novel views for (...) manipulating plasticity in the post‐embryonic brain. Critical periods in larval and young adult flies resemble classic vertebrate models with distinct onset and termination, display clear connections with complex behaviors, and provide opportunities to control the time course of plasticity. These findings may extend our knowledge about mechanisms underlying extension and reopening of critical periods, a concept that has great relevance to many human neurodevelopmental disorders. (shrink)

Berichte zur Wissenschaftsgeschichte, Volume 45, Issue 1-2, Page 112-134, June 2022.

The aim of this paper is to indicate the systematic place of arguments based on the concept of analogy within the theoretical framework of the Periodic Table of Arguments, a new method for describing and classifying arguments that integrates traditional dialectical accounts of arguments and fallacies and rhetorical accounts of the means of persuasion (logos, ethos, pathos) into a comprehensive framework. The paper begins with an inventory of existing approaches to arguments based on analogy, similarity and adjacent concepts. Then, the (...) theoretical framework of the table will be expounded and several concrete examples of arguments based on these concepts will be analyzed in terms of the framework. Finally, the results of these analyses will be summarized and it will be indicated how they can be refined in further research related to the Periodic Table of Arguments. (shrink)

In this essay, we aim to provide an overview of the periodic table’s origins and history, and of the elements which conspired to make it chemistry’s most recognisable icon. We pay attention to Mendeleev’s role in the development of a system for organising the elements and chemical knowledge while facilitating the teaching of chemistry. We look at how the reception of the table in different chemical communities was dependent on the local scientific, cultural and political context, but argue that its (...) eventual universal acceptance is due to its unique ability to accommodate possessed knowledge while enabling novel predictions. Furthermore, we argue that its capacity to unify apparently disconnected phenomena under a simple framework facilitates our understanding of periodicity, making the table an icon of aesthetic value, and an object of philosophical inquiry. Finally, we briefly explore the table’s iconicity throughout its representations in pop art and science fiction. (shrink)

In the same way that it is possible - by a loosely specified class of more or less well accepted statements - to know the referent of an ordinary proper name, we can understand a name like "the Renaissance." But names of events and periods have an indeterminacy not shared by names of men; with holistic names, the criteria of identity for the kind of thing are fluid, while the analogous criteria for being a man are not. Despite this indeterminacy, (...) the conceptualization of events and periods is useful in historical inquiry, where general statements about events, periods, and institutions can be reconciled with statements about particular facts, and with the evidence. Holistic terms cannot reasonably be prohibited on philosophical grounds; their legitimate use is a problem historians must judge case by case. (shrink)

Periodization is rooted in historical theory. It reflects our priorities, our values, and our understanding of the forces of continuity and change. Yet periodization is also subject to practical constraints. For pedagogical reasons, world historians must seek reasonable symmetry between major historical eras despite huge discrepancies in the availability of historical data for separate time periods and for different areas of the world.Political issues arise in periodization. Should world history provide integrated treatment of the evolution of civilization, focusing upon the (...) most developed societies ? Or should it provide equal time to cultures outside the evolutionary mainstream ? If integration is to be preferred--as this article advocates--it is incumbent upon integrationists to provide some overarching theory of change to demonstrate how the destinies of the world's peoples have been linked through the millennia.Although the article attempts to demonstrate how comprehensive theories of change can facilitate the formulation of world history periodization, it does not minimize the difficulty of developing a universally operative organic theory of change. It examines several theoretical orientations, but principal attention is given to world-systems analysis, the most fully refined and well articulated body of theory currently commended as a vehicle for structuring world history.Acknowledging that no body of theory currently achieves a satisfactory universal integration of world history and that this situation may prevail in the future, the author recommends, for the present, an eclectic periodization of four epochs divided at roughly 1000 B.C.E., 400-600 C.E., and circa. 1492. (shrink)

Since its original publication in Chinese in the 1930s, this work has been accepted by Chinese scholars as the most important contribution to the study of their country's philosophy. In 1952 the book was published by Princeton University Press in an English translation by the distinguished scholar of Chinese history, Derk Bodde, "the dedicated translator of Fung Yu-lan's huge history of Chinese philosophy" (New York Times Book Review). Available for the first time in paperback, it remains the most complete work (...) on the subject in any language. Volume I covers the period of the philosophers, from the beginnings to around 100 B.C., a philosophical period as remarkable as that of ancient Greece. Volume II discusses a period lesser known in the West--the period of classical learning, from the second century B.C. to the twentieth century. (shrink)

It is proposed here that there is a sensitive period in the first two to three years of life during which humans acquire a basic knowledge of what foods are safe to eat. In support of this, it is shown that willingness to eat a wide variety of foods is greatest between the ages of one and two years, and then declines to low levels by age four. These data also show that children who are introduced to solids unusually late (...) have a narrower diet breadth throughout childhood, perhaps because the duration of the sensitive period has been shortened. By reducing the costs associated with learning, a sensitive period for food learning should be adaptive for any omnivore (including early humans) that remains in the same environment throughout its life. (shrink)

The overt oviposition rhythm ofLymnaea stagnalis should be regarded as an endogenous one. Despite considerable deviations of its period from 24 hrs, entrainment by 24 hr. external periodicities is possible. Possibly, entrainment is effectuated via a second — covert — internal rhythm. The fact that similar rhythms have not been established before, is probably connected with the nature of the phenomena to which previous studies have generally been limited.

Periodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose two different methods for semiclassical quantization. The first method is based upon the harmonic inversion of semiclassical recurrence functions. A band-limited periodic orbit signal is obtained by analytical frequency windowing of the periodic orbit sum. The frequencies of the periodic orbit signal are the semiclassical eigenvalues, and are determined by either linear predictor, Padé approximant, or signal diagonalization. The second method is based upon the direct application (...) of the Padé approximant to the periodic orbit sum. The Padé approximant allows the resummation of the, typically exponentially, divergent periodic orbit terms. Both techniques do not depend on the existence of a symbolic dynamics, and can be applied to bound as well as to open systems. Numerical results are presented for two different systems with chaotic and regular classical dynamics, viz. the three-disk scattering system and the circle billiard. (shrink)

We study the formalization within sybsystems of second-order arithmetic of theorems concerning periodic points in dynamical systems on the real line. We show that Sharkovsky's theorem is provable in WKL0. We show that, with an additional assumption, Sharkovsky's theorem is provable in RCA0. We show that the existence for all n of n-fold iterates of continuous mappings of the closed unit interval into itself is equivalent to the disjunction of Σ02 induction and weak König's lemma.

In this paper, we present a deterministic time discrete mathematical model based on multiregional periodic matrices to describe the dynamics of Sardina pilchardus in the Central Atlantic area of the Moroccan coast. This model deals with two stages (immature and mature) and three spatial zones where sardines are supposed to migrate from one zone to another. The population dynamics is described by an autonomous recurrence equation N(t + 1) = A.N(t), where A is a positive matrix whose entries are estimated (...) using data collected during biannual acoustic surveys carried out from 2001 to 2003 onboard the Norwegian research vessel “Dr Fridtjof Nansen”. The dominant eigenvalue λ of A that gives the long-term growth rate of fish population is smaller than one. This agrees with the stock decrease observed in the data collected. We show that λ is highly sensitive to the recruitment rate and much less sensitive to the reproduction rate. These results can clearly be used to define an efficient scenario in order to fight for instance against a stock decrease. (shrink)

The formation of the discourse of Neo-Confucianism 1 in the Song period was a result of the interactions between many social and cultural trends. In the development of the Neo-Confucian discourse, the Cheng brothers (Cheng Hao and Cheng Yi) played key roles with their charismatic thoughts and impelling personalities, while Zhu Xi pushed Neo-Confucian thought and discourse to a pinnacle with his broad knowledge and precise reasoning. In the warm discussions and debates between different schools and thoughts, the Neo-Confucian discourse (...) proceeded towards completion and perfection, and evolved as contemporary topics and thinking modes changed. The essay argues that “ ding xing 定性 (stilling the nature)” was an important Neo-Confucian topic during the Song period. The doctrine of “stilling the nature” involves much central Neo-Confucian discourse such as the definition of xing 性 (human nature), the interior and exterior aspects of human nature, nature and qing 情 (feelings, sentiments), nature and xin 心 (mind, heart), nature and ren 仁 (benevolence, humanity, humaneness) and yi 义 (righteousness), nature and shi 事 (affair) or wu 物 (thing, object), the practice of preservation and cultivation, etc. Therefore, an examination of the formation, development and evolution of Neo-Confucianism is of great importance to the study of its early history. (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)

There is no doubt that periodization is a rather effective method of data ordering and analysis, but it deals with exceptionally complex types of processual and temporal phenomena and thus it simplifies historical reality. Many scholars emphasize the great importance of periodization for the study of history. In fact, any periodization suffers from one-sidedness and certain deviations from reality. However, the number and significance of such deviations can be radically diminished as the effectiveness of periodization is directly connected with its (...) author's understanding of the rules and peculiarities of this methodological procedure. In this paper we would like to suggest a model of periodization of history based on our theory of historical process. We shall also demonstrate some possibilities of mathematical modeling for the problems concerning the macroperiodization of the world historical process. This analysis identifies a number of cycles within this process and suggests its generally hyperexponential shape, which makes it possible to propose a number of forecasts concerning the forthcoming decades. (shrink)

The periodic table represents and organizes all known chemical elements on the basis of their properties. While the importance of this table in chemistry is uncontroversial, the role that it plays in scientific reasoning remains heavily disputed. Many philosophers deny the explanatory role of the table and insist that it is “merely” classificatory (Shapere, in F. Suppe (Ed.) The structure of scientific theories, University of Illinois Press, Illinois, 1977; Scerri in Erkenntnis 47:229–243, 1997). In particular, it has been claimed that (...) the table does not figure in causal explanation because it “does not reveal causal structure” (Woody in Science after the practice turn in the philosophy, history, and social studies of science, Routledge Taylor & Francis Group, New York, 2014). This paper provides an analysis of what it means to say that a scientific figure reveals causal structure and it argues that the modern periodic table does just this. It also clarifies why these “merely” classificatory claims have seemed so compelling–this is because these claims often focus on the earliest periodic tables, which lack the causal structure present in modern versions. (shrink)

Taking a series of period courses arranged in chronological order seems the natural and obvious way for students to learn history. But an odd thing happens when these courses are not connected to one another, as they rarely are in the college curriculum. Since students experience each course as a self-contained unit, they have no incentive to remember one period once they move on to the next. Describing a course he taught in a required literary history sequence, the author is (...) struck not only by his students' inability to make connections with the previous course in the sequence but also by their evident surprise at being asked to recall what they had studied in any previous course. This essay—a guest column in Common Knowledge—goes on to generalize the implications of the incident, arguing that, paradoxically, the effect of period courses is to erase the sense of historical sequence, continuity, and contrast from students' minds and thereby to erase history itself. The point is not that there is something wrong with dividing history into period courses—some such division is unavoidable and necessary—but that unless period courses are connected, students will come away with an ahistorical view of history. (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)

This paper concerns periodic solutions of a class of equations that model gene regulatory networks. Unlike the vast majority of previous studies, it is not assumed that all decay rates are identical. To handle this more general situation, we rely on monotonicity properties of these systems. Under an alternative assumption, it is shown that a classical fixed point theorem for monotone, concave operators can be applied to these systems. The required assumption is expressed in geometrical terms as an alignment condition (...) on so-called focal points . As an application, we show the existence and uniqueness of a stable periodic orbit for negative feedback loop systems in dimension 3 or more, and of a unique stable equilibrium point in dimension 2. This extends a theorem of Snoussi, which showed the existence of these orbits only. (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)

Whether man is predisposed to lethal violence, ranging from homicide to warfare, and how that may have impacted human evolution, are among the most controversial topics of debate on human evolution. Although recent studies on the evolution of warfare have been based on various archaeological and ethnographic data, they have reported mixed results: it is unclear whether or not warfare among prehistoric hunter – gatherers was common enough to be a component of human nature and a selective pressure for the (...) evolution of human behaviour. This paper reports the mortality attributable to violence, and the spatio-temporal pattern of violence thus shown among ancient hunter–gatherers using skeletal evidence in prehistoric Japan (the Jomon period: 13000 cal BC–800 cal BC). Our results suggest that the mortality due to violence was low and spatio-temporally highly restricted in the Jomon period, which implies that violence including warfare in prehistoric Japan was not common. (shrink)