INFINITY IS NOT WHAT IT SEEMS… Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes in a divine Creator infinite in knowledge, power, and benevolence. According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, Forever Finite offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology.

Defending Infinity is a tragi-comedy by Ken Janjigian. Van Arakalian has been playing it safe for many years. He has a proper job, a loving fiancée and suburbia is calling. However, soon after his father's death, his life veers towards cataclysm. He quits his job and returns to bartending where he befriends an eccentric and seductive group of artists. Meanwhile, Van is dealing with insomnia. During sleepless hours he obsessively keeps a surreal and spontaneously written journal, which he refuses to read. Van's fiancée finally demands that he examine the real issues catalyzing his erratic behavior, but Van is suddenly more focused on starting a new life of travel and creativity.

This new study of David Hume s philosophy of mathematics critically examines his objections to the concept of infinity, and his alternative phenomenalist theory of space and time as constituted by minima sensibilia or sensible extensionless indivisibles.

Locating Milton: Places and Perspectives collects nine previously unpublished essays that examine Milton’s works as the product of his unique intellectual experiences at home and abroad, while also tracing the ways in which those works themselves express the influence of his travel, his reading, and his political engagement. Following an interpretive introduction that seeks to locate Milton through his last surviving letter, the first group of essays examine how young Milton locates himself through his travels in Italy, how Milton’s early reading leads him to situate himself intellectually, and how the intellectual framework Milton generated remains pertinent to students and communities today. The second group calculates the impact of early modern mathematical and scientific models on Milton’s cosmology, demonstrating how Milton’s complex negotiations of such models give form and perspective to his greatest poetic works. The final group of essays locates Milton distinctly through his works’ global reception, ranging from the anonymous English poem Praeexistence, to Milton’s place in the “new world” and science fiction, to his presence as a figure inspiring political resistance in communist Hungary.

'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.

When we think of Heidegger's influence in France, we tend to focus on such contemporary thinkers as Jacques Derrida, Michel Foucault, and Jean-François Lyotard. In Generation Existential, Ethan Kleinberg shifts the focus to the initial reception of Heidegger's philosophy in France by those who first encountered it. Kleinberg explains the appeal of Heidegger's philosophy to French thinkers, as well as the ways they incorporated and expanded on it in their own work through the interwar, Second World War, and early postwar periods. In so doing, Kleinberg offers new insights into intellectual figures whose influence on modern French philosophy has been enormous, including some whose thought remains under-explored outside France. Among Kleinberg's "generation existential" are Jean Beaufret, the only member of the group whom one could characterize as "a Heideggerian"; Maurice Blanchot; Alexandre Kojéve; Emmanuel Levinas; and Jean-Paul Sartre. In showing how each of these figures engaged with Heidegger, Kleinberg helps us to understand how the philosophy of this right-wing thinker had such a profound influence on intellectuals of the left. Furthermore, Kleinberg maintains that our view of Heidegger's influence on contemporary thought is contingent on our comprehension of the ways in which his philosophy was initially understood, translated, and incorporated into the French philosophical canon by this earlier generation.

This volume provides a much needed, historically accurate narrative of the development of theories of space up to the beginning of the eighteenth century. It studies conceptions of space that were implicitly or explicitly entailed by ancient, medieval and early modern representations of the cosmos. The authors reassess Alexandre Koyré’s groundbreaking work From the Closed World to the Infinite Universe (1957) and they trace the permanence of arguments to be found throughout the Middle Ages and beyond. By adopting a long timescale, this book sheds new light on the continuity between various cosmological representations and their impact on the ontology and epistemology of space. Readers may explore the work of a variety of authors including Aristotle, Epicurus, Henry of Ghent, John Duns Scotus, John Wyclif, Peter Auriol, Nicholas Bonet, Francisco Suárez, Francesco Patrizi, Giordano Bruno, Libert Froidmont, Marin Mersenne, Pierre Gassendi, Gottfried Wilhelm Leibniz and Samuel Clarke. We see how reflections on space, imagination and the cosmos were the product of a plurality of philosophical traditions that found themselves confronted with, and enriched by, various scientific and theological challenges which induced multiple conceptual adaptations and innovations. This volume is a useful resource for historians of philosophy, those with an interest in the history of science, and particularly those seeking to understand the historical background of the philosophy of space.