A01=Joseph R. Shoenfield
advanced mathematical logic textbook
Author_Joseph R. Shoenfield
axioms
Calculable Functions
Category=PBCD
Church's Thesis
Church’s Thesis
Closed Formula
Completeness Theorem
Consistency Proof
Defining Equations
Detachment Rule
Elementary Extension
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equality
Equality Axioms
Equality Theorem
form
formal systems analysis
graduate level mathematics
hypothesis
Identity Axiom
induction
Induction Axiom
Joseph R. Shoenfield
model theory applications
non-logical
Non-logical Axioms
nonlogical
Nonlogical Axioms
Nonlogical Symbol
Predicate Symbol
prenex
Prenex Form
proof theory foundations
recursion methods
Recursive Extension
Recursive Functions
Reduction Theorem
set theory concepts
Special Constant
substitution
Substitution Axioms
Substitution Theorem
symbol
Syntactical Variables
Variable Free Formula
Product details
- ISBN 9781568811352
- Weight: 500g
- Dimensions: 156 x 234mm
- Publication Date: 09 Feb 2001
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.
