In lieu of an abstract, here is a brief excerpt of the content:Diacritics 30.4 (2000) 15-37 [Access article in PDF] Kant's Strange LightRomanticism, Periodicity, and the Catachresis of Genius Orrin N. C. Wang We might say that in deconstruction history is always posed as a question, at once urgent, ubiquitous, and insoluble, whereas ideological demystification conceives of its relation to history as an answer, a solution, to its critical hermeneutic. Certainly, this critical truism has special force in Romantic studies, (...) a field very much shaped by the complex relation between deconstruction and ideological critique over the last twenty-five years. But it could just as well be said that the full implications of this relation are especially clarified by the field of Romantic studies, not least because its object of study replays the tensions between these two modes of inquiry. Studying Romanticism means knowing it as a historical period but also knowing it as a figure that stands for something else: an aesthetic practice, a form of consciousness, a political aspiration, an ideology, the possibility of historicity itself. That as a figure Romanticism can be either transhistorical or tied to its historical identity makes its situation all the more complicated and compelling. Romanticism especially dramatizes the interlocking relation between period identity and trope, and the investment of literary studies in that dynamic. Romanticism is the period metaphor that both stabilizes and disrupts the very concept of period metaphors.1 The deconstruction and demystification of Romanticism is very much about the deconstruction and demystification of history, its existence as either question or calculation, trope or immanent being.But even as Romanticism asserts its special relation to history it must also confront an opposite trajectory, how its meaning is best understood through a constellation of other, larger historical identities, such as the Enlightenment and modernity itself. At present the potential disciplinary reorganization of Romanticism into the long eighteenth century is the most vivid academic expression of the question, where does the historical specificity of Romanticism reside, within itself or something larger, or both?Sorting this issue out is certainly a historical proposition, but as Romanticism's special relation to history reminds us, it is also, in Paul de Man's sense, rhetorical. Which is to say, Romanticism's relation to history is, paradoxically, not special-or, more precisely, it is a trope for something pervasive among all the period fields of literary studies, insofar as they remain particular and distinct from one another. This includes those historical entities that might subsume or entangle with Romanticism itself, that would enact historicity by absorbing a field so intent on both the enabling and worrying of historical thought. Approached tropologically, the relation of Romanticism to these larger historical periods is not simply about events and formations that constitute [End Page 15] the boundaries of historical identities. It is also about best identifying and clarifying the workings of figure that create the intelligence of such periodicity.Such labor, what de Man designated innocently enough by the term "reading," calls for its own crossing of a particular set of boundaries. A philosophical text, generated by the entanglement between Romanticism and the eighteenth-century Enlightenment, might contain sections exemplary in their recording of the interstice between trope and historical periodization. Immanuel Kant's short meditation on genius in the third Critique is, like the rest of his book, about the limits and possibilities of the judging subject; his words on genius are also specifically about the artistically creative subject. In resolving the contradictions between aesthetic judgment and creation, Kant transforms the solar light of human genius into the historical genius of the Enlightenment, which is very much the linguistic genius of Romanticism. This all occurs in a register not of consciousness or of historical truth, but of something else before either's constative realization.Kant's text is especially telling in its reflexive expression of this situation, so much so that it helps illuminate the sharp distinction between deconstruction and ideological demystification. For if deconstruction always poses history as the pressure of an insoluble, omnipresent question, it does so through figure, before truth. In contrast, ideological demystification, with... (shrink)

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)

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.

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)

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 concept of major scientific advances occurring as a short-term ‘revolutionary’ change in thinking interspersed by long periods of so-called ‘normal’ science seems to be losing ground to more ecological models, which are more inimical of the twists and turns of life. From this idea it is a short step to charting science’s progress against stages used in fictional storytelling, which after all is life-based. This paper explores the development of the periodic table in terms of the achievement of a (...) fictional ‘quest’, and finds the stages of such a story are well represented. While Mendeleev or perhaps Meyer might be considered by some to be the hero of the quest, its first stage—the call—is represented by the Karlsruhe conference in 1860, with an international cast of ‘companions’ and ‘helpers’ who contributed to the Table’s early development. The ‘journey’ may have been frustrated by lack of appropriate data and understanding of concepts, but the ‘arrival’ phase is clearly marked by the award of the Davy medal jointly to Mendeleev and Meyer in 1882, Throughout these stages there are lesser, although still significant contributions made by “little people” of science to the overall progress of the Table. The end of the journey is not the end of the quest: the discovery of new elements—“new ordeals”—and their incorporation into an increasing range of types and styles of periodic table, which—akin to the “life-renewing goal” of the fictional quest—continue. (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 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 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)

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)

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 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.

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)

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)

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 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.

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)

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)

ABSTRACTDavis argues that the familiar periodization dividing European history into medieval and modern phases disguises a claim to power as a historical fact. It justifies slavery and subjugation by projecting them onto the “feudal” Middle Ages and non‐European present, while hiding forms of slavery and subjugation practiced by “secular” modernity. Periodization thus furnishes one of the most durable conceptual foundations for the usurpation of liberty and the abuse of power.In part I, devoted to “feudalism,” Davis traces the legal, political, and (...) colonial struggles behind the development of the concept of “feudal law” in early modern France and England and unravels just how that concept hides colonial oppression while justifying European sovereignty. In part II, devoted to “secularization,” she demonstrates the failure of twentieth‐century critics of “secularization” like Carl Schmitt, Walter Benjamin, Karl Löwith, Hans Blumenberg, and Reinhart Koselleck to break out of the limits imposed by the medieval/modern periodization. Part II concludes with a look at conceptual alternatives in the writings of Amitav Ghosh and the Venerable Bede.Three limitations of this book are worth mentioning. It traces the political history hidden by the concept of “feudalism,” but does not trace the political history hidden by the concept of “religion.” It offers no answer to the question of how to break the link between scholarship and politics without ending up in a logical impasse or reinforcing the link. It does not address the possibility that answering this question may require breaking with the terms of professional historical inquiry. Perhaps the question could be answered in terms like those that led Wittgenstein to characterize his Philosophical Investigations as remarks on the natural history of human beings. (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.

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.

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 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 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)

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)

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)

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)