Intermediate Logic

Intermediate Logic fills a serious gap in the range of university logic texts by offering a clear, reliable, general guide for students taking a second course in logic after completing a basic introduction. It will serve as an ideal follow-up to any of the standard introductory texts, and will give excellent preparation for advanced work in logical theory or applications of logic in philosophy, mathematics, or computing theory. - ;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 the first section, Bostock covers such fundamental notions as truth, validity, entailment, quantification, and decision procedures. Part two lays out a definitive introduction to four key logical tools or procedures: semantic tableaux, axiomatic proofs, natural deduction, and sequent calculi. The final section opens up new areas of existence and identity, concluding by moving from orthodox logic to examination of `free logic'. Intermediate Logic provides an ideal secondary course in logic for university students, and a bridge to advanced study of such subjects as model theory, proof theory, and other specialized areas of mathematical logic. -

Whether your students are learning in a brick-and-mortar school or a homeschool or online, you teachers and parents know how important logic is -- but that doesn't make the technical aspects of the subject any easier (in fact the fundamental nature of the subject makes it even more intimidating ). We've painstakingly designed Intermediate Logic with that tension in mind: you'll get the benefit of James B. Nance's twenty years of teaching experience, so mastering logic will be as painless (and rewarding ) as possible for any student. Anybody can learn from Intermediate Logic. The whole series takes advantage of a brand new, clean, easy-to-read layout, lots of margin notes for key points and further study, a step-by-step modern method, and exercises for every lesson (plus review questions and exercises for every unit). More importantly, anybody can teach Intermediate Logic. Here are the features that make the Teacher Edition for Intermediate Logic the obvious choice for educators.

Studying formal logic can be intimidating without the right help, but knowing how to think logically isn't just for "experts." Logic should be your secret weapon. It's the tool for learning how to use other tools. It's the bones that give a clenched fist its structure (and knuckles). With that in mind, we have painstakingly designed Intermediate Logic for everyday students, teachers, and parents who've never used truth tables or formal proofs of validity to work with syllogisms, but who know just how important and applicable learning logic is. In Intermediate Logic, you'll get the benefit of Jim Nance's twenty years of experience to help you master propositional arguments. Brand new, clean, easy-to-read layout, lots of margin notes for key points and further study, a step-by-step modern method, and exercises for every lesson (plus review questions and review exercises for every unit) all make Intermediate Logic the perfect choice for a logic course.

This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.

This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.

Logic has been defined both as the science and the art of correct reasoning. People who study different sciences observe a variety of things: biologists observe living organisms, astronomers observe the heavens, and so on. From their observations they seek to discover natural laws by which God governs his creation. The person who studies logic as a science observes the mind as it reasons -- as it draws conclusions from premises -- and from those observations discovers laws of reasoning which God has placed in the minds of people. Specifically, he seeks to discover the principles or laws which may be used to distinguish good reasoning from poor reasoning. In deductive logic, good reasoning is valid reasoning -- in which the conclusions follow necessarily from the premises. Logic as a science discovers the principles of valid and invalid reasoning. - Introduction.

Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.