Frank Carlson Library

Perhaps this book will be understood only by someone who has himself already had the thoughts that are expressed in it-or at least similar thoughts. -So it is not a textbook. -Its purpose would be achieved if it gave pleasure to one person who read and understood it. The book deals with the problems of philosophy, and shows, I believe, that the reason why these problems are posed is that the logic of our language is mis-understood. The whole sense...

This edition includes a modern introduction and a list of suggested further reading. Before 1854 when George Boole published The Laws of Thought, the subject of 'logic' in the western world was entirely restricted to the study of the Aristotelian syllogism, which was as old as 384-322 BC. In this work, Boole introduces a sort of algebra of propositions with probability. Boole's logic forms the basis for present day Boolean Algebra, which in turn lies...

This title introduces the concept of "if this, then that" in coding by using relatable real-world examples. Vivid photographs and easy-to-read text aid comprehension for early readers. Features include an infographic, fun facts, Making Connections questions, a glossary, and an index. QR Codes in the book give readers access to book-specific resources to further their learning.

These brief and enlightening explorations of our greatest thinkers bring their ideas to life in entertaining and accessible fashion. Philosophical thought is deciphered and made comprehensive and interesting to almost everyone. Far from being a novelty, each book is a highly refined appraisal of the philosopher and his work, authoritative and clearly presented.

These brief and enlightening explorations of our greatest thinkers bring their ideas to life in entertaining and accessible fashion. Philosophical thought is deciphered and made comprehensive and interesting to almost everyone. Far from being a novelty, each book is a highly refined appraisal of the philosopher and his work, authoritative and clearly presented.

This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic...

Classic text considers general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, computable functionals, classification of unsolvable decision problems and more.

This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's...

Sense and Syllogism: Logic in Life' introduces logic to the general reader. This book is for you if you have never studied logic, if you believe you have no use for logic, if you have no idea what logic is. Just a few essential ideas in logic are presented, and those are made simple and interesting through examples from life and literature. If all goes well, you should finish the book a little sharper and more alert than before.

Lewis Carroll the author of the world famous Alice in Wonderland is well known even today for his fiction, but his tenure as professor of mathematics at Oxford university is less well known as is his love of logic problems. Carroll was a mathematician at heart; he deeply loved and was fascinated by the subject. At first it may seem odd that a creator of such nonsensical writings would have such an interest in this area, although the logic involved...