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. -

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.

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 technical grounding. The author introduces and explains each conceptand 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, qualification, 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 moveing from orthodox logic to an 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.

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.

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 Introductory Logic for everyday students, teachers, and parents who've never tackled syllogisms or fallacies before, but who know just how important learning logic is. In Introductory Logic, you'll get the benefit of James B. Nance's twenty years of teaching experience as you learn the fundamentals you need to think well wherever you are, including: How to properly define terms for maximum precision and accuracy -- and thus win the debate, How to form and interpret statements, the building blocks of logical thought, How to compose valid syllogisms, and -- just as importantly -- expose the invalid fakes using counterexamples, How to analyze arguments in norm

Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies