Infinity

Aristotle was the first not only to distinguish between potential and actual infinity but also to insist that potential infinity alone is enough for mathematics thus initiating an issue still central to the philosophy of mathematics. Modern scholarship, however, has attacked Aristotle's thesis because, according to the received doctrine, it does not square with Euclidean geometry and it also seems to contravene Aristotle's belief in the finitude of the physical universe. This monograph, the first thorough study of the issue, puts Aristotle's views on infinity in the proper perspective. Through a close study of the relevant Aristotelian passages it shows that the Stagirite's theory of infinity forms a well argued philosophical position which does not bear on his belief in a finite cosmos and does not undermine the Euclidean nature of geometry. The monograph draws a much more positive picture of Aristotle's views and reaffirms his disputed stature as a serious philosopher of mathematics. This innovative and stimulating contribution will be essential reading to a wide range of scholars, including classicists, philosophers of science and mathematics as well as historians of ideas.

'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

No matter what it takes, Sarah's desperate to escape from the numbers. Always numbers. Sarah loves Adam, but can't bear the thought that every time he looks in her eyes, he can see her dying; can see her last day.

Scholastic's next multi-platform mega-event begins here!History is broken, and three kids must travel back in time to set it right!When best friends Dak Smyth and Sera Froste stumble upon the secret of time travel -- a hand-held device known as the Infinity Ring -- they're swept up in a centuries-long secret war for the fate of mankind. Recruited by the Hystorians, a secret society that dates back to Aristotle, the kids learn that history has gone disastrously off course.Now it's up to Dak, Sera, and teenage Hystorian-in-training Riq to travel back in time to fix the Great Breaks . . . and to save Dak's missing parents while they're at it. First stop: Spain, 1492, where a sailor named Christopher Columbus is about to be thrown overboard in a deadly mutiny!

Fix the past. Save the future. What is the secret history connecting the SQ to the Ancient Maya?Book includes an all-new, full-color Hystorian's Guide - your key to unlocking the fourth episode of the action-packed Infinity Ring game.

Count to Infinity is John C. Wright's spectacular conclusion to the thought-provoking hard science fiction Eschaton Sequence, exploring future history and human evolution. An epic space opera finale worthy of the scope and wonder of The Eschaton Sequence: Menelaus Montrose is locked in a final battle of wits, bullets, and posthuman intelligence with Ximen del Azarchel for the fate of humanity in the far future. The alien monstrosities of Ain at long last are revealed, their hidden past laid bare, along with the reason for their brutal treatment of Man and all the species seeded throughout the galaxy. And they have still one more secret that could upend everything Montrose has fought for and lived so long to achieve. The Eschaton Sequence #1 Count to a Trillion #2 The Hermetic Millennia #3 The Judge of Ages #4 The Architect of Aeons #5 The Vindication of Man At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

A philosophical exploration of the origin and limits of the modern world.

At fourteen, Nick Gautier thinks he knows everything about the world around him. Streetwise, tough, and savvy, his quick sarcasm is the stuff of legends. . .until the night when his best friends try to kill him. Saved by a mysterious warrior who has more fighting skills than Chuck Norris, the teenaged Nick is sucked into the realm of the Dark-Hunters: immortal vampire slayers who risk everything to save humanity. Nick quickly learns that the human world is only a veil for a much larger and more dangerous one: a world where the captain of the football team is a werewolf and the girl he has a crush on goes out at night to stake the undead. But before he can even learn the rules of this new world, his fellow students are turning into flesh-eating zombies--and he's next on the menu. As if starting high school isn't hard enough. . .now Nick has to hide his new friends from his mom, his chain saw from the principal, and keep the zombies and the demon Simi from eating his brains, all without getting grounded or suspended. How in the world is he supposed to do that?