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 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)

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

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)

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 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)

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)

(No abstract is available for this citation).

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)

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.

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)

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)

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)

One of the fundamental debates that theologians have held to discuss the possibility of and to facilitate understanding of the bodily resurrection is iʿādat al-maʿdūm; that is, the restoration of the non-existent. Despite some differences in their perspectives, theologians, including the Muʿtazilites, have considered iʿādat al-maʿdūm possible. Avicenna, who opposed the classical views of theologians by rejecting iʿādat al-maʿdūm, provoked a new discussion and fuelled controversy about this issue. Later Islamic philosophers and theologians who were influenced by him took his (...) path and reformulated his arguments about the impossibility of iʿādat al-maʿdūm. Likewise, the theologians of the mutaʾakhkhirūn period, who defended the possibility of iʿādat al-maʿdūm, in support of the classical view, voiced new criticisms against these recontructed arguments. Thus, the debate turned into a highly controversial issue between Islamic philosophers and theologians. In fact, unlike the theologians who included the issue of iʿādat al-maʿdūm in the subsections of the samʿiyyāt chapters as an extension of the resurrection debates, Islamic philosophers did not consider it possible and preferred to address it under the subheadings of the umūr al-āmma chapters on existence and non-existence, in which metaphysical issues were discussed. This is because Avicenna considered iʿādat al-maʿdūm a metaphysical issue related to non-existence. On the one hand, some philosophers, who considered iʿādat al-maʿdūm impossible, deployed the new argument that things that existed and then disappeared could not be recreated in the same way. On the other hand, others expressed their criticisms against these arguments in the disputatious style (jadali) and tried to defend the restoration of the non-existent in the same way. Therefore, the theologians who addressed these issues in their works helped answer the question of whether it is possible to recreate the non-existent. This is because the texts provided detailed and important information about the course of the debate, such as who rejects and accepts iʿādat al-maʿdūm, the background and context of the debate between philosophers and theologians, the proofs put forward for the rejection of recreation, the criticisms in response to these proofs, and the evidence put forward for recreation. Therefore, the present study aims to discuss the arguments for iʿādat al-maʿdūm; that is, whether maʿdūm can be recreated in the same way, and the criticisms against these arguments, which have become a subject of debate between theologians and philosophers. Avicenna’s ideas are also highlighted in the study as he is the source of the arguments for the impossibility of iʿādat al-maʿdūm. In terms of its scope, the present study is based on the major works of the prominent theologians of the mutaʾakhkhirūn period and the main commentaries written on these works. (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)

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)

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)

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)

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)

The Western messanger and The Dial -- Orestes A. Brownson and The Boston quarterly review -- The Present -- The Harbinger -- The Spirit of the age -- Elizabeth Peabody and her Xsthetic papers -- The Massachusetts quarterly review -- The Dial (Cincinnati)--The Radical -- The Index -- Appendix: Two uncollected Emerson items.

The problem of mental existence is a multidimensional subject that is related to many issues with its ontological and epistemological aspects. Both philosophers and theologians have addressed this problem from different perspectives and have discussed it among themselves. These discussions have produced some evidence and criticisms about mental existence in terms of acceptance and rejection. In these discussions, which are also associated with different issues, the use of information about maʿdūm, particularly as evidence of mental existence, also helped pinpoint the (...) source of the knowledge about maʿdūm. The fact that maʿdūm is the subject of knowledge is often a matter of consensus among theologians if some exceptions are disregarded. Particularly due to the extension of the subject of kalām to the known, it is a matter accepted by the scholars that maʿdūm can be known, whether it is mumkin (possible) or mumtani‘ (impossible). Therefore, the issue of where the information about it is located has emerged as an extension of the discussions on mental existence. In this context, in terms of epistemological theories they adopted, both theologians and philosophers have questioned the epistemological and ontological location of the knowledge of such concepts as ma'dūm, which hardly exist in the objective world but can be reasoned out or judged or imagined, and they have tried to determine the source of this knowledge. As a result of this effort, they have recognized that the source of knowledge about maʿdūm can be explained in two ways: the mind and outside world. In response to theologians, who claimed that the place of knowledge about maʿdūm is the mind, it has been claimed that the place of this knowledge is not the mind but the outside world. No consensus has been reached among those who claimed that the information was outside; some claimed that this information was in Plato's ideas, while others claimed that it was in the active mind. On the other hand, there has been no disagreement among those who considered the source of knowledge about maʿdūm as the mind. Based on this perspective, the present study tried to identify the source and place of information about maʿdūm, with a particular reference to the later kalām period, based on the evidence put forward to prove mental existence and the criticisms against such evidence. As a part of these discussions, the disputing parties were specified and the criticisms of the opponents towards each other were also included. This is because the nature of these criticisms is critical as such criticisms are capable of revealing the opinions of those who have opposing views about the source of knowledge of maʿdūm. The scope of the present study was limited to al-Rāzī and some later theologians as it was Fakhr al-Dīn al-Rāzī, who brought mental existence up for discussion as a specific point of debate. Therefore, in the present study, the famous theological texts that are highly representative of mental existence in the late kalām period and prominent commentaries written on these basic texts were preferred. (shrink)

Ruth Abbey presents a close study of Nietzsche's works, Human, All Too Human, Daybreak, and The Gay Science. Although these middle period works tend to be neglected in commentaries on Nietzsche, they repay careful attention. Abbey's commentary brings to light important differences across Nietzsche's oeuvre that have gone unnoticed, filling a serious gap in the literature.

The psychoanalytical case history was in many ways the pivot point of John Forrester’s reflections on case-based reasoning. Yet the Freudian case is not without its own textual forebears. This article closely analyses texts from two earlier case-writing traditions in order to elucidate some of the negotiations by which the case history as a textual form came to articulate the mode of reasoning that we now call ‘thinking in cases’. It reads Eugène Azam’s 1876 observation of Félida X and her (...) ‘double personality’—the case that brought both Azam and Félida to prominence in late 19th-century French science—against a medico-surgical case penned by the Bordeaux physician in the same decade. While the stylistics of Azam’s medical case mirror its epistemic underpinnings in the ‘vertical’ logics of positivist science, the multiple narratives interwoven in Félida’s case grant both Azam and his patient the role of knowledge-making actors in the text. This narrative transformation chimes with the way Azam reasons ‘horizontally’ from particulars to Félida’s singular condition, but sits in tension with his choice to structure the observation along a ‘vertical’ axis. Between the two, we glimpse the emergence of the psychological observation as a mode of writing and thus of thinking in cases. (shrink)

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 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.

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)

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)

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)

In 1854 the biologist Thomas Henry Huxley pointed to a significant change in the way that reviewers were treating books that endorsed deeply flawed scientific theories. In the past, “when a book had been shown to be a mass of pretentious nonsense,” it “quietly sunk into its proper limbo. But these days appear, unhappily, to have gone by.” Due to the “utter ignorance of the public mind as to the methods of science and the criterion of truth,” scientists were now (...) forced to review such books in order to expose their deficiencies (Huxley 1903, 1). Huxley’s observation indicates how the development of a mass reading audience in mid-nineteenth century Britain transformed the very nature of scientific controversy. Scientists were compelled to debate the validity of theories in new public sites, not just in exclusive scientific societies or in specialized scientific journals with limited circulation. It was during the nineteenth century that public controversy—not limited to science alone—became possible for the first time. In this short piece I will discuss how the “communications revolution” produced a public space for the debate over evolutionary theory in mid-nineteenth century Britain. I will focus on periodicals as one of those public spaces in which the debate took place.1 As Huxley found, attempting to resolve a scientific controversy in the general periodical press could be a risky venture. Although a non-specialized journal could provide the public space necessary for reaching the reading audience, maintaining scientific authority in such a site was somewhat problematic. (shrink)