Intermediate Logic is an ideal text for anyone who has taken a first course in logic and is progressing to further study. It examines logical theory, rather than the applications of logic, and does not assume any specific technological grounding. The author introduces and explains each concept and term, ensuring that readers have a firm foundation for study. He provides a broad, deep understanding of logic by adopting and comparing a variety of different methods and approaches. In...

Plato's Euthyrphro, Apology, and Crito portray Socrates' words and deeds during his trial for disbelieving in the Gods of Athens and corrupting the Athenian youth, and constitute a defense of the man Socrates and of his way of life, the philosophic life. The twelve essays in the volume, written by leading classical philosophers, investigate various aspects of these works of Plato, including the significance of Plato's characters, Socrates's revolutionary religiou...

The Nicomachean Ethics is one of Aristotle’s most widely read and influential works. Ideas central to ethics—that happiness is the end of human endeavor, that moral virtue is formed through action and habituation, and that good action requires prudence—found their most powerful proponent in the person medieval scholars simply called “the Philosopher.” Drawing on their intimate knowledge of Aristotle’s thought, Robert C. Bartlett and Susan D. Collins have produced here an English-l...

In "Some Remarks on Logical Form," Ludwig Wittgenstein revisits and substantially qualifies the austere picture of language developed in the Tractatus Logico-Philosophicus. The essay examines the relation between propositions, elementary propositions, and the structures of reality they represent, with particular attention to the difficulty of analyzing systems of color exclusion and other forms of incompatibility. Its compressed, argumentative prose retains the Tractatus's architectonic am...

With the emergence of democracy in the city-state of Athens in the years around 460 BC, public speaking became an essential skill for politicians in the Assemblies and Councils - and even for ordinary citizens in the courts of law. In response, the technique of rhetoric rapidly developed, bringing virtuoso performances and a host of practical manuals for the layman. While many of these were little more than collections of debaters' tricks, the Art of Rhetoric held a far deeper purpose. Her...

An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic: " An excellent nontechnical account." — Bulletin of the American Mathematical SocietyIn 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public r...

'Happiness, then, is the best, noblest, and most pleasant thing in the world.' In the Nicomachean Ethics Aristotle's guiding question is: what is the best thing for a human being? His answer is happiness, but he means, not something we feel, but rather a specially good kind of life. Happiness is made up of activities in which we use the best human capacities, both ones that contribute to our flourishing as members of a community, and ones that allow us t...

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method...

A Short History of Ethics has over the past thirty years become a key philosophical contribution to studies on morality and ethics. Alasdair MacIntyre writes a new preface for this second edition which looks at the book 'thirty years on' and considers its impact. A Short History of Ethics guides the reader through the history of moral philosophy from the Greeks to contemporary times. MacIntyre emphasises the importance of a historical context to moral concepts and ideas s...

Perhaps the most important work of philosophy written in the twentieth century, Tractatus Logico-Philosophicus was the only philosophical work that Ludwig Wittgenstein published during his lifetime. Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, logic was something we use to conquer a reality which is in itself both elusive and unobtainable. He famously summarized the book in the...

'Courage is knowing what not to fear' Plato'One of the penalties for refusing to participate in politics is that you end up being governed by your inferiors'Without the work of Plato, western thought is, quite literally, unthinkable. No single influence has been greater, in every age and in every philosophic field. Even those thinkers who have rejected Plato's views have found themselves working to an agenda he set.Yet between the n...