Trigonometry: A Very Short Introduction

Author(s):  
Glen Van Brummelen

Trigonometry: A Very Short Introduction draws together the full history of trigonometry, stretching across two millennia and several cultures such as ancient Greece, medieval India, and the Islamic world. It introduces the key concepts of trigonometry, drawing readers beyond the basic relationships first encountered in school to reveal the richness of the entire subject of trigonometry and ideas such as curved space. It also explores connections with genuine modern applications, including navigation, the analysis of music, computer graphics, and powerful modelling tools in science, and shows how trigonometry has participated in big questions about the world, including the shape of the universe and the nature of infinity.

Author(s):  
J. L. Heilbron

How does today’s physics—highly professionalized; inextricably linked to government and industry—link back to its origins as a liberal art in ancient Greece? The History of Physics: A Very Short Introduction tells the 2,500-year story, exploring the changing place and purpose of physics in different cultures; highlighting the implications for humankind’s self-understanding. It introduces Islamic astronomers and mathematicians calculating the Earth’s size; medieval scholar-theologians investigating light; Galileo, Copernicus, Kepler, and Newton, measuring, and trying to explain, the universe. It visits: the House of Wisdom in 9th-century Baghdad; Europe’s first universities; the courts of the Renaissance; the Scientific Revolution and 18th-century academies; and the increasingly specialized world of 20th‒21st-century science.


1994 ◽  
Vol 45 (1) ◽  
pp. 92-106
Author(s):  
Hans Henningsen

The View of Nature and History in Grundtvig and LøgstrupBy Hans HenningsenGrundtvig’s and K.E. Løgstrup’s thoughts move in two different dimensions, but with the same intention of demonstrating that it was not the capacity of man to create culture that first gave significance to the world. But where Grundtvig speaks about history, Løgstrup speaks about »phenomena«, »nature«, and »universe«.While Grundtvig was largely unaffected by Kant, the latter - with his concepts of the selfexistent subject and the idea of the faculty of cognition as productive - became a challenge to Løgstrup. Kant heralds an era whose relationship with the universe is characterized as a »marginal existence«. Our culture became an emancipatory culture which was all to the good, but the era lost its sense of the .pre-cultural. structures in which life is »encased«.The era has also emancipated itself from Grundtvig’s historical view. But a history on the premisses of relativism is no history. Or, in Løgstrup’s words, there is no other history than the history of what is essential in life. Therefore, in reality, Løgstrup’s phenomenological and philosophical endeavours become a defence of history. Grundtvig’s view of nature was determined by his radical prioritization of history. He prefers to view nature as part of the historical life of man, which again determines his use of nature images. In Grundtvig there is no religious interpretation of any experience or perception of nature in spite of the fact that everything in the Creation is to be understood as images of the eternal.In Løgstrup there is no such cautions attitude towards nature. Here nature and sense perception are liberating, but as is the case with Grundtvig, nature is seen as the foundation of man’s life, as immediate experience.Grundtvig’s radical prioritization of history colours his view of art. The Creation itself is the greatest work of art; part of it is the upbringing through which all history must be the object of the individual’s own experience. Among the art forms, poetry ranks highest, with the song above all other forms, while Grundtvig only uses disparaging words about painting and sculpture because these art forms are wordless and preclude changes. Løgstrup, however, attaches much greater importance to sense perception and self-recognition through art.These contrasts may be regarded as what Løgstrup calls uniting opposites; it must be remembered, however, that such disparities cannot be harmonized so as to disappear, but are uniting precisely by virtue of the tension that exists between them. The actual existence of the contrasts does not preclude the possibility that in a wider sense the two views may be contained within the same framework and express a common intention.


2007 ◽  
pp. 27-37
Author(s):  
Dmytro V. Tsolin

Every reader of the Old Testament, both experienced researcher and newcomer, cannot fail to pay attention to one peculiarity in the presentation of the idea of ​​God: it is a harmonious (and, at times, amazing) combination of transcendence and immanence. The History of the Creation of the World (Genesis 1: 1 - 2: 3), which begins the first book of the Strictly Testament - Genesis - is an example of an exquisite prose genre with elements of epic poetry. In it, the Creator of the Universe appears to the Almighty, the Wise, and the All-Powerful, standing above the created world: Only one word of it evokes the material world from nothingness. This is emphasized by the repeated use of the formulas אלהים וימר / wa-yyo'mer 'ělohîm ("And Elohim said ...") and ויהי־כן / wa-yəhî khēn ("And so it became"). This use of two narrative constructs at the beginning and at the end of messages about the creative activities of God clearly emphasizes the idea of ​​reconciling the divine Word and being. God is shown here to be transcendental.


Literator ◽  
2001 ◽  
Vol 22 (1) ◽  
pp. 9-26
Author(s):  
H. Ester

The labyrinth in literature: From Baroque to Postmodernism The labyrinth has proved to be an essential symbol of postmodernist literature and the philosophy of our time. This symbol has apparently had the power to bridge the centuries between Ancient Greece and the year 2000. In reality the labyrinth as a geometrical figure has acquired various meanings in the course of time. The history of the labyrinth as symbol shows that the constant elements are as essential as the changes in meaning from the Middle Ages until the present day. Two of the new symbolic elements that accompany the labyrinth on its way through various cultural periods are the garden and the path of life. During the Baroque the labyrinth, for example, represented the synthesis of garden, path and maze. At the end of the twentieth century the labyrinth once more becomes a dominant and significant structure. The labyrinth reflects the inability and perhaps impossibility to find the key to the centre of the world and to discover the truth behind the words we use. On the other hand, the labyrinth suggests that the search for meaning and truth is an aim in itself or even that this search can lead to new forms of wisdom. The labyrinth therefore is an ambivalent and fascinating symbol of our time. Dedalus and Ariadne, however, have not yet brought the salvation we are waiting for.


Author(s):  
Abdul Rasheed

"The history of religion is as old as the world itself. That is why from Hazrat Adam to date, we find no age without divine guidance.Guidance is necessary for all human beings as the Creator of the universe, Almighty Allah addressed the first human couple while sending it to this earth:"We said," Get down from here, all of you. So, whenever 'the guidance' from ME comes to you; and whoever follows MY' guidance', they do not have to fear and they do not have to regret".Meaning: "Gm here; ate you down all frond if, as is sure, there comes to you guidance from Me, whosoever follows My guidance, on them shall be no fear, nor shall they grieve". It means the success of Allah's vicegerents, human beings, depends on their following the laws given by the creator of this world.


2021 ◽  
Author(s):  
Barry Buzan ◽  
Amitav Acharya

Buzan and Acharya challenge the discipline of International Relations to reimagine itself in the light of the thinking about, and practice of, international relations and world order from premodern India, China and the Islamic world. This prequel to their 2019 book, The Making of Global International Relations, takes the story back from the two-century tale of modern IR, to reveal the deep global history of the discipline. It shows the multiple origins and meanings of many concepts thought of as only modern and Western. It opens pathways for the rest of the world into this most Eurocentric of disciplines, encouraging them to bring their own histories, concepts and theories with them. The authors have written this book with the hope of inspiring others to extend these pathways by bringing in a wider array of cultures, and exploring how they thought about and acted in worlds composed of multiple, independent, collective actors.


2018 ◽  
pp. 187-232
Author(s):  
Alison E. Martin

This chapter is devoted to Humboldt’s last, great work Cosmos. This multi-volume ‘Sketch of a Physical Description of the World’ ranged encyclopaedically from the darkest corners of space to the smallest forms of terrestrial life, describing the larger systems at work in the natural world. But, as British reviewers were swift to query, where was God in Humboldt’s mapping of the universe? Appearing on the market in 1846, just a year after Robert Chambers’ controversial Vestiges of the Natural History of Creation, Humboldt’s Cosmos unavoidably underwent close scrutiny. Hitherto overlooked correspondence between Humboldt and Edward Sabine shows how the Sabines deliberately reoriented the second volume of the English translation for Longman/Murray explicitly to include references to the ‘Creator’ and thus restore Humboldt’s reputation. The fourth volume of the Longman edition on terrestrial magnetism – Edward Sabine’s specialism – included additions endorsed by Humboldt which made Sabine appear as co-writer alongside the great Prussian scientist, and Cosmos a more obviously ‘English’ product. Otté, who produced the rival translation for Bohn, was initially under pressure herself to generate ‘original’ work that differed from its rival, producing a version of a work that would remain central to scientific thought well up to the end of the nineteenth century.


2019 ◽  
pp. 152-184
Author(s):  
Karen Bray

“Unreasoned Care” returns us to God through a sojourn with Foucault’s archives. This chapter queerly attends to how the Process God as Eros of the Universe might open us to a non-redemptive or counter-salvific and yet ethically attentive theology that sticks with the mad we’ve condemned, confined, and left unredeemed. Reading with Lynne Huffer’s re-engagement with Foucault’s History of Madness, this chapter argues for an ethics of care for the ghosts of those an emphasis on reason, straightness, saneness, health, and wealth have ransomed for the rise of the productive model citizen. Placing Foucault and Whitehead into conversation offers us a theo-ethic of grave attending to those ransomed for our redemption. Such an encounter helps us to acknowledge the past that has caused the world to be thus, and to salvage dreams of a world that can be otherwise.


Author(s):  
Malcolm Schofield

Empedocles, born in the Sicilian city of Acragas (modern Agrigento), was a major Greek philosopher of the Presocratic period. Numerous fragments survive from his two major works, poems in epic verse known later in antiquity as On Nature and Purifications. On Nature sets out a vision of reality as a theatre of ceaseless change, whose invariable pattern consists in the repetition of the two processes of harmonization into unity followed by dissolution into plurality. The force unifying the four elements from which all else is created – earth, air, fire and water – is called Love, and Strife is the force dissolving them once again into plurality. The cycle is most apparent in the rhythms of plant and animal life, but Empedocles’ main objective is to tell the history of the universe itself as an exemplification of the pattern. The basic structure of the world is the outcome of disruption of a total blending of the elements into main masses which eventually develop into the earth, the sea, the air and the fiery heaven. Life, however, emerged not from separation but by mixture of elements, and Empedocles elaborates an account of the evolution of living forms of increasing complexity and capacity for survival, culminating in the creation of species as they are at present. There followed a detailed treatment of a whole range of biological phenomena, from reproduction to the comparative morphology of the parts of animals and the physiology of sense perception and thinking. The idea of a cycle involving the fracture and restoration of harmony bears a clear relation to the Pythagorean belief in the cycle of reincarnations which the guilty soul must undergo before it can recover heavenly bliss. Empedocles avows his allegiance to this belief, and identifies the primal sin requiring the punishment of reincarnation as an act of bloodshed committed through ‘trust in raving strife’. Purifications accordingly attacked the practice of animal sacrifice, and proclaimed prohibition against killing animals to be a law of nature. Empedocles’ four elements survived as the basis of physics for 2,000 years. Aristotle was fascinated by On Nature; his biology probably owes a good deal to its comparative morphology. Empedocles’ cosmic cycle attracted the interest of the early Stoics. Lucretius found in him the model of a philosophical poet. Philosophical attacks on animal sacrifice made later in antiquity appealed to him as an authority.


Author(s):  
Stephen J. Davis

Monasticism is a social and religious phenomenon that originated in antiquity, which remains relevant in the 21st century. Monasticism: A Very Short Introduction discusses the history of monasticism from the earliest evidence for it, and the different types that have developed. It considers where monasteries are located around the world, and how their settings impact the everyday life and worldview of the monks and nuns who dwell in them. Exploring how monastic communities are organized, this VSI also looks at how all aspects of life are regimented. Finally, it discusses what the stories about saints communicate about monastic identity and ethics, and considers what place there is for monasticism in the modern world.


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