Not Trivial

Why phonics and grammar are not trivial. Why have our political discussions in the United States become so ugly and pointless? Why are we suffering from such a breakdown in civility? In Not Trivial: How Studying the Traditional Liberal Arts Can Set You Free, Laurie Endicott Thomas explains that the problem boils down to education. The word civility originally meant training in the liberal arts. The classical liberal arts were a set of seven disciplines that were developed largely in ancient Athens to promote productive political discussions within Athenian democracy. They included three verbal arts (the trivium): grammar, logic, and rhetoric. They also included four arts of number, space, and time (the quadrivium): mathematics, geometry, music, and astronomy. These arts helped students learn to think rationally and to express themselves persuasively. The ancient Romans called these studies the liberal arts because they were considered appropriate for freeborn men, as opposed to slaves. Slaves were taught only the servile and mechanical arts, to make them more productive as workers. During the Renaissance, the classical liberal arts curriculum was supplemented by the humanities, including history, philosophy, literature, and art. Like the liberal arts, the humanities were intended to promote productive and even pleasant discussions among political decision-makers. Today, the sciences would have to be added to that curriculum. Thomas explains that the problems in our political system start in first grade. Our teachers are being trained and often forced to use a method of reading instruction that does not work. As a result, many children suffer from lifelong problems with reading. Our teachers are also being pressured to neglect the teaching of grammar. As a result, many children end up with poor reading comprehension and lifelong problems with logical thinking. Thus, they will have difficulty in making or appreciating reasonable arguments. Thomas argues that we cannot hope to enjoy freedom and equality until all children get the kind of education that is appropriate for free people. She concludes with a clear explanation of what that curriculum would be like.

If you're intrigued by the fact that Jack the Ripper was left-handed, or that Heinz ketchup flows at 0.7 miles per day - and, more importantly, intrigued by why you're intrigued - then this book is required reading. Convinced that our love of trivia must reveal something truly important about us, Mark Mason sets out to discover what that something is. And, in the process, he asks the fundamental questions that keep all trivialists awake at night: Why is it so difficult to forget that Keith Richards was a choirboy at the Queen's coronation when it's so hard to remember what we did last Thursday? Are men more obsessed with trivia than women? Can it be proved that house flies hum in the key of F? Can anything ever really be proved? And the biggest question of them all: is there a perfect fact, and if so what is it?

Why does your life and my life often trend toward that which is trivial? Because the default mode of the human heart is bent toward triviality. Unless intentional action is taken, you are always going to lean in the direction of pursuing that which is trivial. But what if there were some kind of work-around, intentional reset, or deliberate action on your part to move away from triviality to a life of meaning and purpose? Here’s the good news—you are not destined to live a life of futility but a life of consequence as you engage the critical aspects of life on a day-to-day basis. God is not a trivial God, nor did He create humans for a life of triviality. He has intervened through the person of Jesus Christ who came to restructure your life from the inside out. Now, through faith in Jesus, you can live a God-consumed life in all that you do to the glory of the Father.

The existence of lattices with trivial automorphism group was shown by O'Meara, who gave an algorithm to construct such a lattice starting from any given lattice. In this process, the discriminants of the lattices increase in each step. Biermann proved the existence of a lattice with trivial automorphism group in every genus of positive definite integral lattices of any dimension with sufficiently large discriminant. In his proof the fact that the discriminant is very large is crucial. We are, instead, interested in lattices with small discriminant.

The most recent LEP data is included in the lectures. The subjects include Higgs physics, KM angles, weak CP violation, neutron electric dipole moment, SUSY phenomenology, radiative corrections, and e+e- experiments.

The "basis problem'' for modular forms (of degree one) is to find a basis for a space of modular forms with elements whose Fourier coefficients can be computed explicitly. The authors give a general treatment for all cases. The main idea in the solution is to consider two kinds of forms: theta series associated with special order, and bases of primitive neben space.

In addition to its further exploration of the subject of peacocks, introduced in recent Séminaires de Probabilités, this volume continues the series’ focus on current research themes in traditional topics such as stochastic calculus, filtrations and random matrices. Also included are some particularly interesting articles involving harmonic measures, random fields and loop soups. The featured contributors are Mathias Beiglböck, Martin Huesmann and Florian Stebegg, Nicolas Juillet, Gilles Pags, Dai Taguchi, Alexis Devulder, Mátyás Barczy and Peter Kern, I. Bailleul, Jürgen Angst and Camille Tardif, Nicolas Privault, Anita Behme, Alexander Lindner and Makoto Maejima, Cédric Lecouvey and Kilian Raschel, Christophe Profeta and Thomas Simon, O. Khorunzhiy and Songzi Li, Franck Maunoury, Stéphane Laurent, Anna Aksamit and Libo Li, David Applebaum, and Wendelin Werner.

Criminal Law: A Comparative Approach presents a systematic and comprehensive analysis of the substantive criminal law of two major jurisdictions: the United States and Germany. Presupposing no familiarity with either U.S. or German criminal law, the book will provide criminal law scholars and students with a rich comparative understanding of criminal law's foundations and central doctrines. All foreign-language sources have been translated into English; cases and materials are accompanied by heavily cross-referenced introductions and notes that place them within the framework of each country's criminal law system and highlight issues ripe for comparative analysis. Divided into three parts, the book covers foundational issues - such as constitutional limits on the criminal law - before tackling the major features of the general part of the criminal law and a selection of offences in the special part. Throughout, readers are exposed to alternative approaches to familiar problems in criminal law, and as a result will have a chance to see a given country's criminal law doctrine, on specific issues and in general, from the critical distance of comparative analysis.