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 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)

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.

(No abstract is available for this citation).

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 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)

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)

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)

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)

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)

The thesis is: the “periodic table” of “dark matter” is equivalent to the standard periodic table of the visible matter being entangled. Thus, it is to consist of all possible entangled states of the atoms of chemical elements as quantum systems. In other words, an atom of any chemical element and as a quantum system, i.e. as a wave function, should be represented as a non-orthogonal in general (i.e. entangled) subspace of the separable complex Hilbert space relevant to the system (...) to which the atom at issue is related as a true part of it. The paper follows previous publications of mine stating that “dark matter” and “dark energy” are projections of arbitrarily entangled states on the cognitive “screen” of Einstein’s “Mach’s principle” in general relativity postulating that gravitational field can be generated only by mass or energy. (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)

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)

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)

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 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)

This article studies the existence of positive periodic solutions for a class of strongly coupled differential systems. By applying the fixed point theory, several existence results are established. Our main findings generalize and complement those in the literature studies.

We describe a decidable class of formulas in a first order timed logic that covers a good amount of properties of real-time distributed systems. Earlier we described a decidable class based on some finiteness properties, and sketched a decidable class in a weaker logic that captures periodicity properties, though without complete proof. The new feature of the decidable class presented here is to be able to treat parametric properties, in particular, properties that concern an arbitrary number of processes as (...) compared to the just mentioned class that could express only properties for a fixed, explicitly given number of processes. As before the properties may use non-trivial arithmetics. We also state another important feature of the class: if a verification formula is not true then our algorithm gives a quantifier-free description of all its counter-models of the complexity involved in the definition of the decidable class and that is quite representative. In conclusion we discuss theoretical and practical issues of the complexity and some open questions. (shrink)

In this study, some new hypotheses and techniques are presented to obtain some new analytical solutions to the generalized Kawahara equation. As a particular case, some traveling wave solutions to both Kawahara equation and modified Kawahara equation are derived in detail. Periodic and soliton solutions to this family are obtained. The periodic solutions are expressed in terms of Weierstrass elliptic functions and Jacobian elliptic functions. For KE, some direct and indirect approaches are carried out to derive the periodic and localized (...) solutions. For mKE, two different hypotheses in the form of WSEFs are used to derive the periodic and localized solutions. Also, the cnoidal wave solutions in the form of JEFs are obtained. As a realistic physical application, the solutions obtained can be dedicated to studying many nonlinear waves that propagate in plasma. (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)

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)

In lieu of an abstract, here is a brief excerpt of the content:russell: the Journal of Bertrand Russell Studies n.s. 34 (winter 2014–15): 131–4 The Bertrand Russell Research Centre, McMaster U. issn 0036–01631; online 1913–8032 c:\users\ken\documents\type3402\rj 3402 050 red.docx 2015-02-04 9:19 PM _ibliography NEW PERIODICAL ARTICLES BY RUSSELL Kenneth Blackwell here are 35 new C entries since 1993 for A Bibliography of Bertrand Russell, and more for all Parts of Vol. 2. With many thanks to several readers. C15.18a [RECONSTRUCTION OF (...) INTELLECTUAL INTERNATIONALISM AFTER THE WAR]. Svenska Dagbladet, Stockholm, 18 July 1915, sec. b, p. 5. Published under the general title “Det kulturella samarbetets återupptagande efter kriget” [The re-establishment of cultural cooperation after the war]. There is a subtitle : “Tre nya svar på Svenska Dagbladets världsenquête” [Three new responses to Svenska Dagbladet’s world enquiry].—Ms. (ra3 rec. acq. 1,325).—In English in Russell, n.s. 18 (1998): 141–3 (ed. K. Blackwell). C16.07a THE CASE OF MR. E. CHAPPELOW. The Manchester Guardian, 19 April 1916, p. 6. Six sentences, introduced thus: “The Hon. Bertrand Russell writes”.—Russell makes reference to the Everett case. C16.10a THE CASE OF THE CONSCIENTIOUS OBJECTOR. The Freethinker, 36 (14 May 1916): 310. “… the country is drifting into the infliction of serious persecution upon a large number of young men.…”—Reprinted, with two-thirds omitted, in Jim Herrick, Vision and Realism: a Hundred years of The Freethinker (London: Foote, 1982), pp. 51–2. C22.39 INSTINCT, HABIT, AND INTELLIGENCE. Hull Weekly Recorder, no. 1 (16 Dec. 1922): 6–9. Reprinted in Collected Papers 16 (in preparation). C23.10a BERTRAND RUSSELL PREDICTS U.S. WILL EVENTUALLY CONTROL THE ENTIRE WORLD. The Daily Argus, Mt. Vernon, ny, 7 March 1923, p. 3. Subtitled “Famous British Philosopher Declares America Will Conquer through Economic Causes What Others Have Tried to Win by Force”.—A note states: “Written exclusively for I.N.S.” (International News Service).—Reprinted in Collected Papers 16 (in preparation). C28.02a WHAT I THINK OF COMPANIONATE MARRIAGE. Children, the Magazine for Parents, Chicago, 3 (Feb. 1928): 17. Russell’s contribution—one of four under the title, the others being by Ernest R. Groves, Stephen S. Wise, and Anna Garlin Spencer, pp. 17, 47—is five sentences long.—Reprinted in Collected Papers 18 (in preparation). C28.02b [ADVICE ON WRITING]. The Daily Illini (U. of Illinois), Champaign, il, 12 Feb. 1928, p. 15. Letter to the author on developing a writing style, quoted fully in Newton York, q= 132 kenneth blackwell c:\users\ken\documents\type3402\rj 3402 050 red.docx 2015-02-04 9:19 PM “What Authors Advise”, ibid.—Part of Russell’s advice is to “read Gibbon all through, at least twice.” —Reprinted in Collected Papers 18 (in preparation). C32.39a MR. BERTRAND RUSSELL’S QUESTIONS. The Manchester Guardian, 27 June 1932, p. 10. Letter to a Coventry correspondent, under the title, “The Dismissed Teacher”. C34.36a ROMAN-CELTIC FARM SITE. The Times, 18 Sept. 1934, p. 7. Letter in “Points from Letters”, signed by John Russell, Telegraph House, Harting, Petersfield, referring to S. E. Winbolt’s “A Roman-Celtic Farm Site; Discovery near Harting, Sussex”, ibid., 10 Sept. 1934, p. 7. The writer states that his part was “not so great” as it appears in the account.—The composition of the letter is ascribed here to Bertrand Russell because a draft, with the exception of a phrase added later, is entirely in his fluent hand. That of his 13-year-old son is not present.—The draft was crossed out, and the verso became folio 1 of the ms. of “On Ceremony” (C34.48). C34.55a [THE AMERICAN LIBRARY OF NAZI BANNED BOOKS]. Jewish Daily Bulletin, New York, 11, no. 3,030 (23 Dec. 1934): 1. A telegram congratulating the Brooklyn Jewish Center for “inaugurating an American Library for Nazi burnt books”.—The allusion is to the Nazi bonfire of banned books on 10 May 1933.—The dinner celebrating the Library and mentioned in Russell’s telegram is the subject of Joseph Goldberg, “ ‘A Splendid and Historic Gathering’: Brooklyn Jewish Center Inaugurates Library of Nazi Banned books”, Brooklyn Jewish Center Review... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:New Periodical Articles by Russell (II)Kenneth BlackwellThere are 51 new C entries since the twenty-year update in Russell 34 (2014) to the first edition of A Bibliography of Bertrand Russell (3 vols., 1994). Too many to list here are the new speech reports, interviews, blurbs, and multiple-signatory letters to the editor in other parts of Volume ii and new books and contributions to them in Volume i. A sub-division (...) is made between those articles published by Russell during his lifetime and those posthumously by his editors. In the Collected Papers there are many further articles now published, whose appearance could not be traced during his lifetime. Thanks in advance to readers for any corrections and further discoveries for Russell's vast corpus. For some Chinese publications cited in C20.21′, I am indebted to Lianghua Zhou, "A Critical Bibliography of Russell's Lectures and Addresses in China" (36 [2016]) in this journal. Files for the new entries are not available in the Russell Archives.For assistance with this update I wish to thank David Blitz, William Bruneau, Ruth Derham, Carl Spadoni, Michael Stevenson, Sheila Turcon, the two Editors, and (for conversion of the first edition files) Arlene Duncan.C20.21′ [RESPONSE TO SPEECH OF WELCOME TO CHINA]. Shibao [世報], Shanghai, 14 Oct. 1920, p. 5.In "Huanyan da zhexuejia Luosu ji 歡宴大哲學家羅素紀 [Notes from the Welcome Banquet for the Great Philosopher Russell]".—Russell's speech was translated by his official translator, Zhao Yuanren [Y. R. Chao].—Reprinted in Chen Bao [Morning Post], 16 Oct. 1920, p. 3 (cited in Papers 15: li); Luosu Yuekan [Russell Monthly], Beijing, no. 1 (Jan. 1921): App., pp. 6–7; and Yuan Gang, Sun Jiaxiang, and Ren Bingqiang, eds., Zhongguo Dao Ziyou Zhi Lu: Luosu Zaihua Jiangyanji [China's Road to Freedom: a Collection of Russell's Lectures in China] (Beijing: Beijing Daxue [End Page 71] Chubanshe [Peking University Press], 2004).—Translated into English in "Welcome Banquet for the Great Philosopher Russell", in Jan Vrhovski and Jana S. Rošker, eds., Bertrand Russell's Visit to China: Selected Texts on the Centenary of Intercultural Dialogues in Logic and Epistemology (Ljubljana, Slovenia: Ljubljana U. P., 2021), pp. 61–3 (which is the source of the Chinese characters below). Click for larger view View full resolution"Bertrand Russell" in simplified Chinese charactersC23.24a BERTRAND RUSSELL ON "HELL". Haldeman-Julius Weekly, Girard, ks, no. 1,446 (18 Aug. 1923): 4.Letter to Upton Sinclair on his play Hell, dated 20 June 1923.—Photocopy of holograph letter is at ra Rec. Acq. 40.—Reprinted in Collected Papers 16 (forth.).C24.12a CHILDREN AND YOUNG PERSONS BILL. The Manchester Guardian, 7 March 1924, p. 10.Signed also by Clifford Allen and sent from his address in Battersea.—"We must beware lest in our zeal to maintain the existing moral code we inflict further suffering upon the very children and women whom the promoters of the bill wish to protect."—Re abortion and underage sex.—Reprinted in Collected Papers 16 (forth.).C24.20a MACDONALD'S POLICY WILL ALTER SPIRIT OF WORLD. The Winnipeg Evening Tribune, Winnipeg, mb, 5 April 1924, theatre sec., p. 7.Subtitled "English Philosopher States Rumors of Split in Labor Ranks Exaggerated".—An editorial note states that the article was "prepared exclusively" for the Tribune.—Reprinted in Collected Papers 16 (forth.).C24.50a "WHAT'S WRONG WITH U.S.?["] BERTRAND RUSSELL FORESEES RADICALISM MUCH OPPRESSED.The Daily Notes, Canonsburg, pa, 22 Nov. 1924, p. 6.Datelined London, 21 November.—International News Service (ins) had invited Russell's views on "What Is Wrong with America" in a letter of 14 October 1924 (ra1 410).—Also as "Toleration Now Greatest Need of This Nation; Noted British Writer Sees Most of America's Troubles Migratory; Believes Negro Question, with Persecution, Will Lead to Difficulty", Defiance Crescent-News, Defiance, oh, 24 Nov. 1924, p. 1; " 'What's Wrong with U.S.?' Bertrand Russell Sees Radicalism Much Oppressed", The Evening News, Wilkes-Barre, pa, 25 Nov. 1924, p. 13; op. cit., St. Petersburg Times, St. Petersburg, fl, 25 Nov. 1924, sec. 3, p. 7; op. cit., The Huntington Herald, Huntington, il, 26 Nov. 1924, p. 10; op. cit... (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 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)

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)