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As in his previous critiques, Kant seeks to establish a priori principles. The first part of this work addresses aesthetic sensibility. The human response to specific natural phenomena as beautiful, he asserts, is a recognition of nature's harmonious order that corresponds to a mental need for order. The critique's second half focuses on the apparent teleology in nature's design of organisms. The philosopher declares that the mind is predisposed to find purpose and order in nature, and this predisposition forms the main principle underlying all our judgments. Although this could be interpreted as an argument in favor of a creator, Kant insists that a supernatural dimension or the existence of God cannot be proven — such considerations lie beyond the realm of reason, solely within the province of faith.

Logically Fallacious is one of the most comprehensive collections of logical fallacies with all original examples and easy to understand descriptions, perfect for educators, debaters, or anyone who wants to improve his or her reasoning skills.

"Expose an irrational belief, keep a person rational for a day. Expose irrational thinking, keep a person rational for a lifetime." - Bo Bennett

The antidote to fuzzy thinking, with furry animals!

Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments! This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle).

Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short—plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn’t believe that gas emissions harm the planet because, if that were true, he wouldn’t like the result (the argument from consequences).

Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments—which makes this geek-chic book a must for anyone in the habit of holding opinions.

Walter Kaufmann's commentary, with its many quotations from previously untranslated letters, brings to life Nietzsche as a human being and illuminates his philosophy. The book contains some of Nietzsche's most sustained discussions of art and morality, knowledge and truth, the intellectual conscience and the origin of logic.

Most of the book was written just before Thus Spoke Zarathustra, the last part five years later, after Beyond Good and Evil. We encounter Zarathustra in these pages as well as many of Nietzsche's most interesting philosophical ideas and the largest collection of his own poetry that he himself ever published.

Walter Kaufmann's English versions of Nietzsche represent one of the major translation enterprises of our time. He is the first philosopher to have translated Nietzsche's major works, and never before has a single translator given us so much of Nietzsche.

Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.

Supported by a clear introduction and detailed summary of the argument, this is not only an essential text for students but also the perfect introduction for any reader who wishes to encounter at first hand the mind of one of the finest and most influential thinkers of all time.

Contents include: Sets and Relations — Cantor's concept of a set, etc.

Natural Number Sequence — Zorn's Lemma, etc.

Extension of Natural Numbers to Real Numbers

Logic — the Statement and Predicate Calculus, etc.

Informal Axiomatic Mathematics

Boolean AlgebraInformal Axiomatic Set TheorySeveral Algebraic Theories — Rings, Integral Domains, Fields, etc.

First-Order Theories — Metamathematics, etc.

Symbolic logic does not figure significantly until the final chapter. The main theme of the book is mathematics as a system seen through the elaboration of real numbers; set theory and logic are seen s efficient tools in constructing axioms necessary to the system.

Mathematics students at the undergraduate level, and those who seek a rigorous but not unnecessarily technical introduction to mathematical concepts, will welcome the return to print of this most lucid work.

"Professor Stoll . . . has given us one of the best introductory texts we have seen." — Cosmos.

"In the reviewer's opinion, this is an excellent book, and in addition to its use as a textbook (it contains a wealth of exercises and examples) can be recommended to all who wish an introduction to mathematical logic less technical than standard treatises (to which it can also serve as preliminary reading)." — Mathematical Reviews.

This book helps to improve your calculation skill and provide magical techniques that makes easier your mathematical problems and solve in just few moments. The book of Short Tricks of Math covers large number of example with short technique solutions for the purpose of quick practice for basics of Math.

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Combining stories of great writers and philosophers with quotations and riddles, this completely original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2013 edition.

"This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' … who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. … A good reference for how set theory is used in other parts of mathematics." — Allen Stenger, The Mathematical Association of America, September 2011.

The two-part selection of puzzles and paradoxes begins with examinations of the nature of infinity and some curious systems related to Gödel's theorem. The first three chapters of Part II contain generalized Gödel theorems. Symbolic logic is deferred until the last three chapters, which give explanations and examples of first-order arithmetic, Peano arithmetic, and a complete proof of Gödel's celebrated result involving statements that cannot be proved or disproved. The book also includes a lively look at decision theory, better known as recursion theory, which plays a vital role in computer science.

Beginning with a survey of set theory and its role in mathematics, the text proceeds to definitions and examples of categories and explains the use of arrows in place of set-membership. The introduction to topos structure covers topos logic, algebra of subobjects, and intuitionism and its logic, advancing to the concept of functors, set concepts and validity, and elementary truth. Explorations of categorial set theory, local truth, and adjointness and quantifiers conclude with a study of logical geometry.

Familiar to philosophy students through the centuries, The Critique of Pure Reason is in many ways Kant’s magnum opus. First published in 1781, it seeks to define what can be known by reason alone without evidence from experience. Kant begins by defining a posteriori knowledge, which is gained through the senses, versus a priori knowledge, or self-evident truths understood without the benefit of experience. He then examines these two types of knowledge in the context of analytic and synthetic judgments, using the relationship between them to conclude that through reason alone, humans are capable of reaching deep universal truths. Kant then demonstrates how—even as much of the world around us can never be truly known—the laws of the universe are in fact made possible by the human capacity for reason itself.

Sparking intense and lasting discussion, The Critique of Pure Reason remains essential reading for anyone seeking a deeper understanding of the ideas that, since their initial publication, have gone on to shape much of Western philosophy.

This ebook has been professionally proofread to ensure accuracy and readability on all devices.

Called "the sleeper hit of the publishing season" (The Boston Globe), Shop Class as Soulcraft became an instant bestseller, attracting readers with its radical (and timely) reappraisal of the merits of skilled manual labor. On both economic and psychological grounds, author Matthew B. Crawford questions the educational imperative of turning everyone into a "knowledge worker," based on a misguided separation of thinking from doing. Using his own experience as an electrician and mechanic, Crawford presents a wonderfully articulated call for self-reliance and a moving reflection on how we can live concretely in an ever more abstract world.

The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.

This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics.

The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.

Introduction. Bibliography. A Note on the Text.

1. Idea for a Universal History with a Cosmopolitan Intent (1784)

2. An Answer to the Question: What Is Enlightenment? (1784)

3. Speculative Beginning of Human History (1786)

4. On the Proverb: That May Be True in Theory, but Is of No Practical Use (1793)

5. The End of All Things (1794)

6. To Perpetual Peace: A Philosophical Sketch (1795)

Glossary of Some German-English Translations. Index.

However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.

Marking the 50th anniversary of the original publication of Gödel's Proof, New York University Press is proud to publish this special anniversary edition of one of its bestselling and most frequently translated books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

The National Security Agency was born out of the legendary codebreaking programs of World War II that cracked the famed Enigma machine and other German and Japanese codes, thereby turning the tide of Allied victory. In the postwar years, as the United States developed a new enemy in the Soviet Union, our intelligence community found itself targeting not soldiers on the battlefield, but suspected spies, foreign leaders, and even American citizens. Throughout the second half of the twentieth century, NSA played a vital, often fraught and controversial role in the major events of the Cold War, from the Korean War to the Cuban Missile Crisis to Vietnam and beyond.

In Code Warriors, Stephen Budiansky—a longtime expert in cryptology—tells the fascinating story of how NSA came to be, from its roots in World War II through the fall of the Berlin Wall. Along the way, he guides us through the fascinating challenges faced by cryptanalysts, and how they broke some of the most complicated codes of the twentieth century. With access to new documents, Budiansky shows where the agency succeeded and failed during the Cold War, but his account also offers crucial perspective for assessing NSA today in the wake of the Edward Snowden revelations. Budiansky shows how NSA’s obsession with recording every bit of data and decoding every signal is far from a new development; throughout its history the depth and breadth of the agency’s reach has resulted in both remarkable successes and destructive failures.

Featuring a series of appendixes that explain the technical details of Soviet codes and how they were broken, this is a rich and riveting history of the underbelly of the Cold War, and an essential and timely read for all who seek to understand the origins of the modern NSA.

From the Hardcover edition.

* Beautifully illustrated with images relating to Kant’s life and works

* Concise introductions to the essays

* All the major works, with individual contents tables

* Includes rare texts appearing for the first time in digital publishing

* Images of how the books were first published, giving your eReader a taste of the original texts

* Excellent formatting of the texts

* Special criticism section, with 8 essays and books evaluating Kant’s contribution to philosophy

* Features two biographies - discover Kant’s literary life

* Scholarly ordering of texts into chronological order and literary genres

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CONTENTS:

The Books

UNIVERSAL NATURAL HISTORY AND THEORY OF HEAVEN

DREAMS OF A SPIRIT-SEER

DISSERTATION ON THE FORM AND PRINCIPLES OF THE SENSIBLE AND THE INTELLIGIBLE WORLD: INAUGURAL DISSERTATION 1770

THE CRITIQUE OF PURE REASON

PROLEGOMENA TO ANY FUTURE METAPHYSICS THAT WILL BE ABLE TO PRESENT ITSELF AS A SCIENCE

AN ANSWER TO THE QUESTION: “WHAT IS ENLIGHTENMENT?"

IDEA FOR A UNIVERSAL HISTORY WITH A COSMOPOLITAN PURPOSE

FUNDAMENTAL PRINCIPLES OF THE METAPHYSIC OF MORALS

METAPHYSICAL FOUNDATIONS OF NATURAL SCIENCE

CRITIQUE OF PRACTICAL REASON

CRITIQUE OF JUDGEMENT

RELIGION WITHIN THE BOUNDS OF BARE REASON

PERPETUAL PEACE

METAPHYSICS OF MORALS: THE PHILOSOPHY OF LAW

OF THE INJUSTICE OF COUNTERFEITING BOOKS

ON EDUCATION

The Criticism

A COMMENTARY TO KANT’S ‘CRITIQUE OF PURE REASON’ by Norman Kemp Smith

SCIENCE AND RELIGION — KANT, LAMBERT, LAPLACE, SIR WILLIAM HERSCHEL by Walter Libby

THE PHILOSOPHY OF IMMANUEL KANT by A. D. Lindsay

IMMANUEL KANT by Elbert Hubbard

THE LAST DAYS OF IMMANUEL KANT by Thomas De Quincey

AN OUTLINE OF THE HISTORY OF CHRISTIAN THOUGHT SINCE KANT by Edward Caldwell Moore

KANT’S THEORY OF KNOWLEDGE by H. A. Prichard

INTRODUCTION TO KANT by Ralph Barton Perry

The Biographies

MEMOIR OF KANT by Thomas Kingsmill Abbott

IMMANUEL KANT by Robert Adamson

The Delphi Classics Catalogue

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According to MSNBC, having a child makes you stupid. You actually lose IQ points. Good Morning America has announced that natural blondes will be extinct within two hundred years. Pundits estimated that there were more than a million demonstrators at a tea party rally in Washington, D.C., even though roughly sixty thousand were there. Numbers have peculiar powers-they can disarm skeptics, befuddle journalists, and hoodwink the public into believing almost anything.

"Proofiness," as Charles Seife explains in this eye-opening book, is the art of using pure mathematics for impure ends, and he reminds readers that bad mathematics has a dark side. It is used to bring down beloved government officials and to appoint undeserving ones (both Democratic and Republican), to convict the innocent and acquit the guilty, to ruin our economy, and to fix the outcomes of future elections. This penetrating look at the intersection of math and society will appeal to readers of Freakonomics and the books of Malcolm Gladwell.

After a brief overview, the approach begins with elementary toposes and advances to internal category theory, topologies and sheaves, geometric morphisms, and logical aspects of topos theory. Additional topics include natural number objects, theorems of Deligne and Barr, cohomology, and set theory. Each chapter concludes with a series of exercises, and an appendix and indexes supplement the text.

This new edition of Kant’s work provides a fresh translation that is uniquely faithful to the German original and more fully annotated than any previous translation. There are also four essays by well-known scholars that discuss Kant’s views and the philosophical issues raised by the Groundwork. J.B. Schneewind defends the continuing interest in Kantian ethics by examining its historical relation both to the ethical thought that preceded it and to its influence on the ethical theories that came after it; Marcia Baron sheds light on Kant’s famous views about moral motivation; and Shelly Kagan and Allen W. Wood advocate contrasting interpretations of Kantian ethics and its practical implications.

The ancients regarded rhetoric as the crowning intellectual discipline — the synthesis of logical principles and other knowledge attained from years of schooling. Modern readers will find considerable relevance in Aristotelian rhetoric and its focus on developing persuasive tools of argumentation. Aristotle's examinations of how to compose and interpret speeches offer significant insights into the language and style of contemporary communications, from advertisements to news reports and other media.

Throughout history, some books have changed the world. They have transformed the way we see ourselves - and each other. They have inspired debate, dissent, war and revolution. They have enlightened, outraged, provoked and comforted. They have enriched lives - and destroyed them. Now Penguin brings you the works of the great thinkers, pioneers, radicals and visionaries whose ideas shook civilization and helped make us who we are.

In this landmark work, the German philosopher asks what sort of maxim might function as a guide to appropriate action under a given set of circumstances. By universalizing such a maxim, would morally permissible behavior not become clear? Suppose that everyone were to behave in accordance with this maxim. If everyone followed the maxim in the same way without harm to civilized culture, then the behavior would be morally permissible. But what if no one followed the maxim? Would civilization thereby be at risk? In such a case, the behavior would be morally obligatory.

Kant's test, known as the Categorical Imperative, is a logical proof of the Golden Rule and the centerpiece of this work. It constitutes his best-known contribution to ethical discussion, and a familiarity with his reasoning in this book is essential to students of philosophy, religion, and history.