A01=Colin Howson
advanced symbolic logic applications
Author_Colin Howson
Binary Relation
Binary Relation Symbol
Category=QDTL
Closed Formulas
Compactness Theorem
Completeness Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equivalence
formal reasoning techniques
Free Occurrence
functional
induction in mathematics
Inductive Hypothesis
Initial Sentences
Intuitionistic Logic
letters
LPA
metalogic foundations
modal logic introduction
Natural Numbers
Open Branch
Peano Arithmetic
predicate
Predicate Symbol
proof
Propositional Languages
quantifier logic
semantic tableau method
sentence
Sentence Letters
Soundness Theorem
structure
Substitution Axioms
symbol
table
Tree Proofs
truth
Truth Functional Compounds
Truth Functional Equivalence
Truth Functional Structure
Truth Table
Truth Trees
Vice Versa
Product details
- ISBN 9780415133418
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 27 Feb 1997
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Logic With Trees is a new and original introduction to modern formal logic. Unlike most texts, it also contains discussions on more philosophical issues such as truth, conditionals and modal logic. It presents the formal material with clarity, preferring informal explanations and arguments to intimidatingly rigorous development. Worked examples and excercises enable the readers to check their progress. Logic With Trees equips students with * a complete and clear account of the truth-tree system for first order logic * the importance of logic and its relevance to many different disciplines * the skills to grasp sophisticated formal reasoning techniques necessary to explore complex metalogic * the ability to contest claims that `ordinary' reasoning is well represented by formal first order logic The issues covered include a thorough discussion of truth-functional and full first order logic, using the truth-tree or semantic tableau approach. Completeness and Soundness proofs are given for both truth-functional and first order trees. Much use is made of induction, which is presented in a clear and consistent manner. There is also discussion of alternative deductive systems, an introduction to transfinite numbers and categoricity, the Lowenhein-Skolem theories and the celebrated findings of Godel and Church. The book concludes with an account of Kripke's attempted solution of the liar paradox and a discussion of the weakness of truth-functional account of conditionals. Particularly useful to those who favour critical accounts of formal reasoning, it will be of interest to students of philosophy at first level and beyond and also students of mathematics and computer science.
