Language, Proof and Logic

ISBN-10: 157586374X
ISBN-13: 9781575863740
Edition: 1999
List price: $65.00 Buy it from $0.69 Rent it from $21.80
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Description: This textbook/software package covers first-order language in a method appropriate for first and second courses in logic. The unique on-line grading services instantly grades solutions to hundred of computer exercises. It is specially devised to be  More...

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Book details

List price: $65.00
Copyright year: 1999
Publisher: C S L I Publications/Center for the Study of Language & Information
Publication date: 4/1/2002
Binding: Mixed Media
Pages: 598
Size: 7.75" wide x 9.25" long x 1.75" tall
Weight: 2.706
Language: English

This textbook/software package covers first-order language in a method appropriate for first and second courses in logic. The unique on-line grading services instantly grades solutions to hundred of computer exercises. It is specially devised to be used by philosophy instructors in a way that is useful to undergraduates of philosophy, computer science, mathematics, and linguistics. The book is a completely rewritten and much improved version of The Language of First-order Logic. Introductory material is presented in a more systematic and accessible fashion. Advanced chapters include proofs of soundness and completeness for propositional and predicate logic, as well as an accessible sketch of Godel's first incompleteness theorem. The book is appropriate for a wide range of courses, from first logic courses for undergraduates (philosophy, mathematics, and computer science) to a first graduate logic course. The package includes four pieces of software: Tarski's World 5.0, a new version of the popular program that teaches the basic first-order language and its semantics; Fitch, a natural deduction proof environment for giving and checking first-order proofs;Boole, a program that facilitates the construction and checking of truth tables and related notions (tautology, tautological consequence, etc.);Submit, a program that allows students to submit exercises done with the above programs to the Grade Grinder, the automatic grading service.Grade reports are returned to the student and, if requested, to the student's instructor, eliminating the need for tedious checking of homework. All programs will be available on both Windows and Macintosh OS. Instructors do not need to use the programs themselves in order to be able to take advantage of their pedagogical value.The price of a new text/software package includes one Registration ID, which must be used each time work is submitted to the grading service. Once activated, the Registration ID is not transferable.

Acknowledgements
Introduction
Propositional Logic
Atomic Sentences
The Logic of Atomic Sentences
The Boolean Connectives
The Logic of Boolean Connectives
Methods of Proof for Boolean Logic
Formal Proofs and Boolean Logic
Conditionals
The Logic of Conditionals
Quantifiers
Introduction to Quantification
The Logic of Quantifiers
Multiple Quantifiers
Methods of Proof for Quantifiers
Formal Proofs and Quantifiers
More about Quantification (optional)
Applications and Metatheory
First-order Set Theory
Mathematical Induction
Advanced Topics in Propositional Logic
Advanced Topics in FOL
Completeness and Incompleteness
Summary of Formal Proof Rules
Glossary
General Index
Exercise Files Index

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