Keywords:
Logic, Symbolic and mathematical
;
Logic, Symbolic and mathematical
;
Logic, Symbolic and mathematical
;
Electronic books
;
Electronic books
Description / Table of Contents:
Axiomatic method -- Eighty years of foundational studies -- On formalization -- Axiomatization of arithmetic -- Computation -- Variant to Turing's theory of calculating machines -- Universal Turing machines : an exercise in coding -- Logic of automata -- Toward mechanical mathematics -- Circuit synthesis by solving sequential Boolean equations -- Predicate calculus -- Many-sorted predicate calculi -- Arithmetization of metamathematics -- Ackermann's consistency proof -- Partial systems of number theory -- Different axiom systems -- Relative strength and reducibility -- Truth definitions and consistency proofs -- Between number theory and set theory -- Some partial system -- Certain predicates defined by induction schemata -- Undecidable sentences suggested by semantic paradoxes -- Formalization of mathematics -- Some formal details on predicative set theories -- Ordinal numbers and predicative set theory
Type of Medium:
Online Resource
Pages:
Online Ressource (v, 651 pages)
Edition:
Online-Ausg.
ISBN:
0444533982
,
9780444533982
Series Statement:
Studies in Logic and the Foundations of Mathematics v. 33
URL:
http://www.sciencedirect.com/science/book/9780444533982
URL:
http://www.sciencedirect.com/science/bookseries/0049237X/33
URL:
https://www.sciencedirect.com/science/bookseries/0049237X/33
DDC:
511.3
Language:
English
Note:
Print version record
,
Axiomatic methodEighty years of foundational studies -- On formalization -- Axiomatization of arithmetic -- Computation -- Variant to Turing's theory of calculating machines -- Universal Turing machines : an exercise in coding -- Logic of automata -- Toward mechanical mathematics -- Circuit synthesis by solving sequential Boolean equations -- Predicate calculus -- Many-sorted predicate calculi -- Arithmetization of metamathematics -- Ackermann's consistency proof -- Partial systems of number theory -- Different axiom systems -- Relative strength and reducibility -- Truth definitions and consistency proofs -- Between number theory and set theory -- Some partial system -- Certain predicates defined by induction schemata -- Undecidable sentences suggested by semantic paradoxes -- Formalization of mathematics -- Some formal details on predicative set theories -- Ordinal numbers and predicative set theory.
,
Axiomatic method -- Eighty years of foundational studies -- On formalization -- Axiomatization of arithmetic -- Computation -- Variant to Turing's theory of calculating machines -- Universal Turing machines : an exercise in coding -- Logic of automata -- Toward mechanical mathematics -- Circuit synthesis by solving sequential Boolean equations -- Predicate calculus -- Many-sorted predicate calculi -- Arithmetization of metamathematics -- Ackermann's consistency proof -- Partial systems of number theory -- Different axiom systems -- Relative strength and reducibility -- Truth definitions and consistency proofs -- Between number theory and set theory -- Some partial system -- Certain predicates defined by induction schemata -- Undecidable sentences suggested by semantic paradoxes -- Formalization of mathematics -- Some formal details on predicative set theories -- Ordinal numbers and predicative set theory.
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