scholarly journals Cassirer’s Reception of Dedekind and the Structuralist Transformation of Mathematics

Author(s):  
Erich H. Reck

Ernst Cassirer was a keen observer of development in the mathematical sciences, especially in the 19th and early 20th centuries. In this essay, the focus is on his reception of Dedekind’s contributions to the foundations of mathematics, and with it, on Dedekind’s mathematical structuralism. Cassirer adopts that structuralism early on, defends it against a number of criticisms, and embeds it into a rich historical account of the structuralist transformation of modern mathematical science. He also adds some original elements to our understanding of structuralism, e.g., by relating it to the Kantian notion of the “construction of concepts” in mathematics, by introducing a basic distinction between “substance concepts” and “function concepts”, and by tracing the “unfolding” of structuralist aspects far back in the history of thought. Overall, Cassirer’s approach is guided by the conviction that the metaphysics of modern mathematics should be approached by way of its distinctive methodology.

1998 ◽  
Vol 25 (2) ◽  
pp. 283-291
Author(s):  
P.S.M. PHIRI ◽  
D.M. MOORE

Central Africa remained botanically unknown to the outside world up to the end of the eighteenth century. This paper provides a historical account of plant explorations in the Luangwa Valley. The first plant specimens were collected in 1897 and the last serious botanical explorations were made in 1993. During this period there have been 58 plant collectors in the Luangwa Valley with peak activity recorded in the 1960s. In 1989 1,348 species of vascular plants were described in the Luangwa Valley. More botanical collecting is needed with a view to finding new plant taxa, and also to provide a satisfactory basis for applied disciplines such as ecology, phytogeography, conservation and environmental impact assessment.


Author(s):  
Colby Dickinson

In his somewhat controversial book Remnants of Auschwitz, Agamben makes brief reference to Theodor Adorno’s apparently contradictory remarks on perceptions of death post-Auschwitz, positions that Adorno had taken concerning Nazi genocidal actions that had seemed also to reflect something horribly errant in the history of thought itself. There was within such murderous acts, he had claimed, a particular degradation of death itself, a perpetration of our humanity bound in some way to affect our perception of reason itself. The contradictions regarding Auschwitz that Agamben senses to be latent within Adorno’s remarks involve the intuition ‘on the one hand, of having realized the unconditional triumph of death against life; on the other, of having degraded and debased death. Neither of these charges – perhaps like every charge, which is always a genuinely legal gesture – succeed in exhausting Auschwitz’s offense, in defining its case in point’ (RA 81). And this is the stance that Agamben wishes to hammer home quite emphatically vis-à-vis Adorno’s limitations, ones that, I would only add, seem to linger within Agamben’s own formulations in ways that he has still not come to reckon with entirely: ‘This oscillation’, he affirms, ‘betrays reason’s incapacity to identify the specific crime of Auschwitz with certainty’ (RA 81).


Metahumaniora ◽  
2019 ◽  
Vol 9 (1) ◽  
pp. 54
Author(s):  
Erlina Zulkifli Mahmud ◽  
Taufik Ampera ◽  
Yuyu Yohana Risagarniwa ◽  
Inu Isnaeni Sidiq

Kedudukan dan fungsi bahasa sebagai alat komunikasi manusia mencakup seluruh bidang kehidupan termasuk ilmu pengetahuan antara lain terkait sejarah peradaban manusia; bagaimana manusia mempertahankan hidupnya, bagaimana manusia memperlakukan alam, bagaimana alam menyediakan segala kebutuhan manusia. Apa yang dilakukan manusia saat ini, saat lampau, dan apa yang dilakukan manusia jauh di masa prasejarah, bagaimana kondisi alam di masa-masa tersebut, apa perubahan dan perkembangannya, dapat didokumentasikan melalui bahasa, divisualisasikan kembali, lalu dipajang sebagai salah satu upaya konversai dan preservasi dalam satu institusi yang disebut museum. Penelitian ini membahas kedudukan dan fungsi bahasa dalam permuseuman. Bagaimana kedudukan dan fungsi bahasa dalam permuseuman baik dalam informasi yang disampaikan oleh pemandu wisata museumnya maupun yang terpajang menyertai benda-benda dan gambar-gambar merupakan tujuan dari penelitian ini. Metode penelitian yang digunakan adalah gabungan antara metode lapangan dan metode literatur. Hasil penelitian menunjukkan bahwa secara umum kedudukan bahasa Indonesia berada pada urutan pertama setelah Bahasa Inggris dan keberadaan kedua bahasa dalam permuseuman ini melibatkan dua fungsi utama bahasa, yakni fungsi komunikatif dan fungsi informatif.The existence and function of language  as a medium of communication covers all fields of human life including knowledge, one of them is the history of human civilization; how humans survived, how human utilized nature for their lives, and how nature provides all the necessities for humans. What humans have been doing now, what they have done in the past and far before that in the pre-history time, how the conditions of the nature at those times were and what changes as well as progresses occurred are documented using language, then re-visualized,  displayed as one of conservation and preservation acts in an institution called museum. This research discusess the existence and function of language in museums. How important the existence of a language in museums and what language functions used in museums both in informations given by the museum guides and on the displays accompanying objects and pictures are the aims of this research. The methods used are the combination between field research and library research. The results show that generally the existence of Indonesian language plays more important role than English and both languages have two main functions; communicative function and informative function.     


2020 ◽  
Vol 63 (10) ◽  
pp. 7-24
Author(s):  
Anatoly A. Lazarevich

The article considers the formation and development of philosophy in Belarus in the context of historical conditions and modern opportunities. Discussing the national context of the philosophical process, the author reveals the four aspects of the phenomenon of “national philosophy.” Firstly, there are national institutional and disciplinary structures, which are responsible for an organized scientific, methodological, research and educational activity, which at the level of the nation-state is formalized by certain institutions, system of professional education, norms of professional ethos, standards of behavior within the community and in the wider social environment. Secondly, in the light of philosophical culture, national philosophy is interpreted as a set of value and cognitive orientations passed down from generation to generation. Thirdly, national philosophy can be viewed in the aspect of the tradition of studying the philosophical thought of the nation in the context of its historical development. Fourthly, national philosophy appears in the aspect of the philosophical foundations of the national idea and national-cultural identity. The author examines the main stages of the development of the Belarusian philosophical culture, it is shown that the features of this culture were formed under the condition of a complex combination of the worldview and values of Latin civilization, Christianity, modern European science, rationalism of social projects of the Enlightenment, ideological and worldview attitudes of Western Russian culture, formalized Soviet philosophical disciplines. The article reviews the circle of theoretical, ideological, and practical problems that the modern philosophical process in Belarus faces, the author emphasizes the unfading value of philosophical knowledge as a source of heuristic means for finding effective local answers to global problems of cultural and civilizational development. The author argues that there are two conditions that make national philosophy possible: this is, first of all, a connection with the history of thought in the area of national genesis and also the expression of thought in a national language.


GEOgraphia ◽  
2018 ◽  
Vol 20 (42) ◽  
pp. 38
Author(s):  
Lucas Labigalini Fuini

Resumo: O objetivo deste artigo é reconhecer, através de uma seleção de autores e obras, as características principais da abordagem territorial na Geografia brasileira desenvolvida desde fins dos anos 1970, quando se reconhece um verdadeiro interesse na sistematização e no conhecimento teórico sobre o conceito em nossa ciência. No perpassar por autores, objetiva-se identificar a crescente multidimensionalidade e transescalaridade que o conceito adquire nos seus conteúdos e aplicações e a mudança de sentido explicativo que assume no avançar dos anos 2000.Palavras-chave: Território. Territorialidade. História do pensamento. Político. Geografia brasileira. THE APPROACH TO THE TERRITORY IN AUTHORS OF THE BRAZILIAN GEOGRAPHY: MUTATIONS OF A CONCEPTAbstract: The purpose of this article is to recognize, through a selection of authors and works, the main features of the territorial approach in the Brazilian Geography developed since the late 1970s, when it recognizes a real interest in the systematization and theoretical knowledge about the concept in our science. In pervade by authors, aims to identify the increasing multidimensionality and transescalarity that the concept gets in their content and applications and the change in explanatory sense that assumes in advance the years 2000.Keywords: Territory. Territoriality. History of thought. Political. Brazilian geography. EL ENFOQUE SOBRE EL TERRITORIO EN AUTORES DE GEOGRAFÍA BRASILEÑA: MUTACIONES DE UN CONCEPTOResumen: El objetivo de este artículo es reconocer, a través de una selección de autores y obras, las características principales del abordaje territorial en la Geografía brasileña desarrollada desde fines de los años 1970, cuando se reconoce un verdadero interés en la sistematización y en el conocimiento teórico sobre el concepto en nuestra ciencia . En el traspaso por autores, se objetiva identificar la creciente multidimensionalidad y transescalaridad que el concepto adquiere en sus contenidos y aplicaciones y el cambio de sentido explicativo que asume a lo largo de los años 2000.Palabras-clave: Territorio. Territorialidad. Historia del pensamiento. Político. Geografía brasileña.


Author(s):  
Benjamin E. Reynolds

The central place of revelation in the Gospel of John and the Gospel’s revelatory telling of the life of Jesus are distinctive features of John when compared with the Synoptic Gospels; yet, when John is compared among the apocalypses, these same features indicate John’s striking affinity with the genre of apocalypse. By paying attention to modern genre theory and making an extensive comparison with the standard definition of “apocalypse,” the Gospel of John reflects similarities with Jewish apocalypses in form, content, and function. Even though the Gospel of John reflects similarities with the genre of apocalypse, John is not an apocalypse, but in genre theory terms, John may be described as a gospel in kind and an apocalypse in mode. John’s narrative of Jesus’s life has been qualified and shaped by the genre of apocalypse, such that it may be called an “apocalyptic” gospel. Understanding the Fourth Gospel as “apocalyptic” Gospel provides an explanation for John’s appeal to Israel’s Scriptures and Mosaic authority. Possible historical reasons for the revelatory narration of Jesus’s life in the Gospel of John may be explained by the Gospel’s relationship with the book of Revelation and the history of reception concerning their writing. An examination of Byzantine iconographic traditions highlights how reception history may offer a possible explanation for reading John as “apocalyptic” Gospel.


Author(s):  
Erik Gray

Love begets poetry; poetry begets love. These two propositions have seemed evident to thinkers and poets across the Western literary tradition. Plato writes that “anyone that love touches instantly becomes a poet.” And even today, when poetry has largely disappeared from the mainstream of popular culture, it retains its romantic associations. But why should this be so—what are the connections between poetry and erotic love that lead us to associate them so strongly with one another? An examination of different theories of both love and poetry across the centuries reveals that the connection between them is not merely an accident of cultural history—the result of our having grown up hearing, or hearing about, love poetry—but something more intrinsic. Even as definitions of them have changed, the two phenomena have consistently been described in parallel terms. Love is characterized by paradox. Above all, it is both necessarily public, because interpersonal, and intensely private; hence it both requires expression and resists it. In poetry, especially lyric poetry, which features its own characteristic paradoxes and silences, love finds a natural outlet. This study considers both the theories and the love poems themselves, bringing together a wide range of examples from different eras in order to examine the major structures that love and poetry share. It does not aim to be a comprehensive history of Western love poetry, but an investigation into the meaning and function of recurrent tropes, forms, and images employed by poets to express and describe erotic love.


2021 ◽  
Vol 61 (3) ◽  
pp. 320-340
Author(s):  
Kate Rousmaniere

AbstractThis essay examines the history of what is commonly called the town-gown relationship in American college towns in the six decades after the Second World War. A time of considerable expansion of higher education enrollment and function, the period also marks an increasing detachment of higher education institutions from their local communities. Once closely tied by university offices that advised the bulk of their students in off-campus housing, those bonds between town and gown began to come apart in the 1970s, due primarily to legal and economic factors that restricted higher education institutions’ outreach. Given the importance of off-campus life to college students, over half of whom have historically lived off campus, the essay argues for increased research on college towns in the history of higher education.


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