The bottom of the universe: Flat earth science in the Age of Encounter

2016 ◽  
Vol 55 (1) ◽  
pp. 61-85 ◽  
Author(s):  
James J Allegro

This essay challenges the dominance of the spherical earth model in fifteenth- and early-sixteenth-century Western European thought. It examines parallel strains of Latin and vernacular writing that cast doubt on the existence of the southern hemisphere. Three factors shaped the alternate accounts of the earth as a plane and disk put forward by these sources: (1) the unsettling effects of maritime expansion on scientific thought; (2) the revival of interest in early Christian criticism of the spherical earth; and (3) a rigid empirical stance toward entities too large to observe in their entirety, including the earth. Criticism of the spherical earth model faded in the decades after Magellan’s crew returned from circuiting the earth in 1522.

2017 ◽  
Vol 55 (4) ◽  
pp. 490-498 ◽  
Author(s):  
C. Philipp E. Nothaft

This is a response to James J. Allegro’s article “The Bottom of the Universe: Flat Earth Science in the Age of Encounter,” published in Volume 55, Number 1, of this journal. Against the solid consensus of modern scholars, Allegro contends that the decades around 1500 saw a resurgence of popular and learned doubts about the existence of a southern hemisphere and the concept of a spherical earth more generally. It can be shown that a substantial part of Allegro’s argument rests on an erroneous reading of his main textual witness, Zaccaria Lilio’s Contra Antipodes (1496), and on a failure adequately to place this source in the context of the cosmographical debate of the late fifteenth and early sixteenth centuries. Once this context is taken into account, the notion that Lilio was a flat-earther falls flat.


On Purpose ◽  
2019 ◽  
pp. 42-60
Author(s):  
Michael Ruse

This chapter discusses the Scientific Revolution that is dated from the publication of Nicolaus Copernicus's On the Revolutions of the Heavenly Spheres in 1543, the work that put the sun rather than the earth at the center of the universe to Isaac Newton's Mathematical Principles of Natural Philosophy in 1687, the work that gave the causal underpinnings of the whole system as developed over the previous one hundred and fifty years. Historian Rupert Hall put his finger precisely on the real change that occurred in the revolution. It was not so much the physical theories, although these were massive and important. It was rather a change of metaphors or models—from that of an organism to that of a machine. By the sixteenth century, machines were becoming ever more common and ever more sophisticated. It was natural therefore for people to start thinking of the world—the universe—as a machine, especially since some of the most elaborate of the new machines were astronomical clocks that had the planets and the sun and moon moving through the heavens, not by human force but by predestined contraptions. In a word, by clockwork!


1964 ◽  
Vol 54 (2) ◽  
pp. 681-726
Author(s):  
Don L. Anderson

ABSTRACT The variational approach to surface wave dispersion problems has been largely replaced by the powerful method of Haskell which is exact and particularly convenient for use on digital computers. This paper shows how the two methods may be combined to yield dispersion curves which can be used to interpret data from any layered structure. A set of graphs and tables is presented which can be used to calculate the dispersion of Love waves in the period range of 4 to 1000 seconds over any spherical earth model. In addition, it is possible to determine by inspection which portion of the earth is contributing to a set of observed dispersion data thereby facilitating the design of an appropriate earth model. These tables can be used to determine how much freedom can be taken with proposed models without violating dispersion data. Application to the inverse problem is immediate.


Author(s):  
Peter Wothers

We don’t know for sure where the names of the longest-known elements come from, but a connection was made early on between the most ancient metals and bodies visible in the heavens. Figure 1 shows an engraving from a seventeenth-century text with the title ‘The Seven Metals’ (translated from the Latin). It isn’t immediately obvious how the image is meant to depict seven metals until we explore the connections between alchemy and astronomy. However strange such associations seem to us now, we shall see that new elements named in the eighteenth, nineteenth, twentieth, and twenty-first centuries have had astronomical origins. We can’t properly understand why some of the more recent elements were named as they were without first understanding these earlier historical connections. As we look into the night sky, the distant stars remain in their same relative positions and seem to move gracefully together through the heavens. Of course, we now know that it is the spinning Earth that gives this illusion of movement. The imaginations of our ancestors joined the bright dots to pick out fanciful patterns such as the Dragon, the Dolphin, or the Great Bear—the latter being more often known today (with rather less imagination) as the Big Dipper, the Plough, or even the Big Saucepan. But, while these patterns, the constellations, remained unchanging over time, there were seven objects, or ‘heavenly bodies’, that seemed to move across the skies with a life of their own. They were given the name ‘planet’, which derives from the Greek word for ‘wanderer’ (‘planetes asteres’, ‘πλάνητες ἀστέρες’, meaning ‘wandering stars’). These seven bodies were the Sun, the Moon, Mercury, Venus, Mars, Jupiter, and Saturn, all of which were documented by the Babylonians over three thousand years ago. Until the sixteenth century, the most commonly held view was that the Earth was at the centre of the Universe and that the seven bodies revolved around the Earth, with the relative orbits shown schematically in Figure 2.


Author(s):  
Lindsay J. Starkey

This introduction presents the work’s larger argument that fifteenth- and sixteenth-century European sea voyages caused Europeans to re-examine why water did not flood the earth. This introduction also proposes that the topic of water allows for the investigation of several historiographical questions: how Europeans viewed the relationship between the natural, preternatural, and supernatural from the ancient period into the sixteenth century; how Europeans viewed God’s connection to the universe from the ancient period into the sixteenth century; and how these overseas voyages in the fifteenth and sixteenth centuries influenced Europeans’ dependency on textual authorities for their worldviews. It also suggests that this study is of interest to those scholars working in blue cultural studies.


Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. J59-J69 ◽  
Author(s):  
Ján Mikuška ◽  
Roman Pašteka ◽  
Ivan Marušiak

We analyze gravitational effects of distant topographic and bathymetric relief beyond the (earth-centered) angular distance of [Formula: see text] (i.e., beyond the outer limit of the Hayford-Bowie zone O, or approximately [Formula: see text]) using a spherical earth model. Our results support current procedures that neglect distant relief effects for most local gravity surveys but show their potential importance for continental- and global-scale surveys. The distant relief can produce horizontal gradients as large as [Formula: see text] [Formula: see text]. In mountainous areas, the gravitational effect of the distant relief is significant, even for local surveys, although the vertical gradient of the distant relief effect never exceeds [Formula: see text] [Formula: see text] on the earth’s surface.


2010 ◽  
Vol 63 (3) ◽  
pp. 395-417 ◽  
Author(s):  
Kenneth Gade

Position calculations, e.g. adding, subtracting, interpolating, and averaging positions, depend on the representation used, both with respect to simplicity of the written code and accuracy of the result. The latitude/longitude representation is widely used, but near the pole singularities, this representation has several complex properties, such as error in latitude leading to error in longitude. Longitude also has a discontinuity at ±180°. These properties may lead to large errors in many standard algorithms. Using an ellipsoidal Earth model also makes latitude/longitude calculations complex or approximate. Other common representations of horizontal position include UTM and local Cartesian ‘flat Earth’ approximations, but these usually only give approximate answers, and are complex to use over larger distances. The normal vector to the Earth ellipsoid (called n-vector) is a non-singular position representation that turns out to be very convenient for practical position calculations. This paper presents this representation, and compares it with other alternatives, showing that n-vector is simpler to use and gives exact answers for all global positions, and all distances, for both ellipsoidal and spherical Earth models. In addition, two functions based on n-vector are presented, that further simplify most practical position calculations, while ensuring full accuracy.


2018 ◽  
Vol 8 (1) ◽  
pp. 49-66
Author(s):  
Monika Szuba

The essay discusses selected poems from Thomas Hardy's vast body of poetry, focusing on representations of the self and the world. Employing Maurice Merleau-Ponty's concepts such as the body-subject, wild being, flesh, and reversibility, the essay offers an analysis of Hardy's poems in the light of phenomenological philosophy. It argues that far from demonstrating ‘cosmic indifference’, Hardy's poetry offers a sympathetic vision of interrelations governing the universe. The attunement with voices of the Earth foregrounded in the poems enables the self's entanglement in the flesh of the world, a chiasmatic intertwining of beings inserted between the leaves of the world. The relation of the self with the world is established through the act of perception, mainly visual and aural, when the body becomes intertwined with the world, thus resulting in a powerful welding. Such moments of vision are brief and elusive, which enhances a sense of transitoriness, and, yet, they are also timeless as the self becomes immersed in the experience. As time is a recurrent theme in Hardy's poetry, this essay discusses it in the context of dwelling, the provisionality of which is demonstrated in the prevalent sense of temporality, marked by seasons and birdsong, which underline the rhythms of the world.


2019 ◽  
Author(s):  
Adib Rifqi Setiawan

Put simply, Lisa Randall’s job is to figure out how the universe works, and what it’s made of. Her contributions to theoretical particle physics include two models of space-time that bear her name. The first Randall–Sundrum model addressed a problem with the Standard Model of the universe, and the second concerned the possibility of a warped additional dimension of space. In this work, we caught up with Randall to talk about why she chose a career in physics, where she finds inspiration, and what advice she’d offer budding physicists. This article has been edited for clarity. My favourite quote in this interview is, “Figure out what you enjoy, what your talents are, and what you’re most curious to learn about.” If you insterest in her work, you can contact her on Twitter @lirarandall.


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