A01=Alonzo Church
Abstract algebra
Author_Alonzo Church
Axiom
Axiom of infinity
Axiom schema
Boolean algebra (structure)
Boolean ring
Calculus ratiocinator
Category=PBCD
Characterization (mathematics)
Classical mathematics
Commutative property
Decision problem
Deduction theorem
Denotation
Duality (mathematics)
Elementary arithmetic
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existential quantification
Expression (mathematics)
Frege (programming language)
Function (mathematics)
Functional calculus
Fundamenta Mathematicae
Godel's completeness theorem
Godel's incompleteness theorems
Hilbert's program
Introduction to Mathematical Philosophy
Lambda calculus
Logic
Logical connective
Logical disjunction
Material implication (rule of inference)
Mathematical analysis
Mathematical induction
Mathematical logic
Mathematical practice
Mathematical problem
Mathematical theory
Mathematics
Mathematische Zeitschrift
Metatheorem
Modal logic
Naturalness (physics)
Negation
Notation
Number theory
Object language
Parity (mathematics)
Predicate (mathematical logic)
Prenex normal form
Principia Mathematica
Propositional calculus
Propositional function
Propositional variable
Quantifier (logic)
Range (mathematics)
Recursion (computer science)
Restriction (mathematics)
Riemann surface
Ring (mathematics)
Rule of inference
Scientific notation
Second-order arithmetic
Series (mathematics)
Sign (mathematics)
Special case
Tautology (logic)
Term logic
The Principles of Mathematics
Theorem
Truth table
Variable (mathematics)
Product details
- ISBN 9780691029061
- Weight: 539g
- Dimensions: 152 x 235mm
- Publication Date: 17 Nov 1996
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic.
Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979 At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.
Alonzo Church (1903–1995) was a renowned mathematician, logician, and philosopher. Together with his student Alan Turing, he is considered one of the founders of computer science.
