Logic As A Liberal Art

In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.

This book involves understanding the nature and function or language.

CNN host and best-selling author Fareed Zakaria argues for a renewed commitment to the world’s most valuable educational tradition. The liberal arts are under attack. The governors of Florida, Texas, and North Carolina have all pledged that they will not spend taxpayer money subsidizing the liberal arts, and they seem to have an unlikely ally in President Obama. While at a General Electric plant in early 2014, Obama remarked, "I promise you, folks can make a lot more, potentially, with skilled manufacturing or the trades than they might with an art history degree." These messages are hitting home: majors like English and history, once very popular and highly respected, are in steep decline. "I get it," writes Fareed Zakaria, recalling the atmosphere in India where he grew up, which was even more obsessed with getting a skills-based education. However, the CNN host and best-selling author explains why this widely held view is mistaken and shortsighted. Zakaria eloquently expounds on the virtues of a liberal arts education—how to write clearly, how to express yourself convincingly, and how to think analytically. He turns our leaders' vocational argument on its head. American routine manufacturing jobs continue to get automated or outsourced, and specific vocational knowledge is often outdated within a few years. Engineering is a great profession, but key value-added skills you will also need are creativity, lateral thinking, design, communication, storytelling, and, more than anything, the ability to continually learn and enjoy learning—precisely the gifts of a liberal education. Zakaria argues that technology is transforming education, opening up access to the best courses and classes in a vast variety of subjects for millions around the world. We are at the dawn of the greatest expansion of the idea of a liberal education in human history.

The purpose of this text is to introduce the reader to the three fundamental liberal arts: grammar, logic, and rhetoric. These three disciplines, together called the Trivium, formed the foundation of the system of education that held sway in the West from ancient to modern times. Grammar is the art of combining the symbols that we call words into sentences. Logic is the art of reasoning to achieve knowledge of reality as it is. Rhetoric is the art of sharing ideas and of persuasion.

How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.