This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic. The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_logic
This open access book constitutes the proceeding of the 28th International Conference on Automated Deduction, CADE 28, held virtually in July 2021. The 29 full papers and 7 system descriptions presented together with 2 invited papers were carefully reviewed and selected from 76 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience. The papers are organized in the following topics: Logical foundations; theory and principles; implementation and application; ATP and AI; and system descriptions.
This anthology demonstrates the richness and diversity of the American intellectual heritage. In it we see how Jonathan Edwards grapples with the problem of how to reconcile freedom and responsibility with Calvinist religious beliefs; how Franklin and Jefferson exemplified American enlightenment thought; and how the Transcendentalists, Ralph Waldo Emerson and Henry David Thoreau, formulated their particular romantic idealist beliefs. A second and significant portion of the anthology is devoted to Pragmatism. Substantive excerpts from Peirce, James and Dewey, as well as Royce, are collected here. A third part is devoted to other Twentieth-Century American philosophies. No other collection of writings in this field includes the breadth of coverage that this one does. Among the chapters in this third part of the book are those on early Process Philosophy, Phenomenology, Positivism, and Language Philosophies. Selections from such philosophers as Whitehead, Weiss, Buchler, Gurwitsch, Sellars, Quine, Davidson, and Rawls, along with many others are included in this part. A final chapter is devoted to twentieth-century American Moral Philosophy. The book is specifically designed to be used as a text for courses in American philosophy. A substantive introduction that emphasizes the historical setting as well as major interests and ideas of the philosophers accompanies each chapter. Extensive bibliographies and study guide questions follow each chapter. The selections include more than any one course will cover, but in their completeness also allow individual teachers and readers to select what they want.
