Odd True

Gilded Age sisters face terrible monsters and their own haunted past in this “thought-provoking, atmospheric, and utterly bewitching” YA novel (Booklist, starred review). Growing up on their family’s Oregon farm, Trudchen Grey believed every word of her older sister Odette’s fantastical stories. But now that Tru’s gotten older, she’s starting to wonder if those tales of their monster-slaying mother were just comforting lies. There’s certainly nothing fantastic about Tru’s own life—permanently disabled and in constant pain from childhood polio. In 1909, after a two-year absence, Od reappears with a suitcase supposedly full of weapons—and a promise to rescue Tru from the monsters on their way to attack her. But it’s Od who seems haunted by something. And when the sisters’ search for their mother leads them to a face-off with the Leeds Devil, a nightmarish beast that’s wreaking havoc in the Mid-Atlantic states, Tru discovers the peculiar possibility that she and her sister—despite their dark pasts and ordinary appearances—might, indeed, have magic after all.

Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke>'s, and Lukasiewicz>'s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists>' claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.

Lawrence Bartell experienced many strange events over the course of his long life, at least partly because he deliberately strayed far from the beaten path in science. While it might not have been the most efficient way to gain a reputation in his field, it was more fun. In his memoir, he presents a collection of entertaining, sometimes bizarre stories collected over a lifetime. Bartell chronicles a wide variety of experiences, such as his predisposition to indulge in childhood pranks, his arrest as a possible Russian spy, his work on the Manhattan Project, his entry into the Guinness Book of Records, his stint in the US Navy during wartime, and his appointment as visiting professor in Moscow during the height of the Cold War. As he recalls the curious and often bizarre true stories he acquired over a lifetime, it soon becomes evident that scientists are just as human as anyone else and that beer really can play an important role in preparing one for a PhD thesis. True Stories of Strange Events and Odd People shares details from a scientist's one-of-a-kind journey through life as he observes the world around him, tests his theories, and learns valuable life lessons.

This book includes the Solutions of Exercises given in the textbook Understanding Mathematics class 8. It is Revised Edition for 2021 Examinations

This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.