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An Introduction to Metalogic (Paperback)
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An Introduction to Metalogic (Paperback)
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An Introduction to Metalogic is a uniquely accessible introduction
to the metatheory of first-order predicate logic. No background
knowledge of logic is presupposed, as the book is entirely
self-contained and clearly defines all of the technical terms it
employs. Yaqub begins with an introduction to predicate logic, and
ends with detailed outlines of the proofs of the incompleteness,
undecidability and indefinability theorems. Many other topics are
covered: expressive completeness, the basics of set theory,
infinite cardinalities, Cantor's Theorems, the Soundness and
Completeness Theorems, Turing machines, the Halting Problem,
predicate logic theories and their properties, elementary
equivalence, isomorphism, Peano Arithmetic, second-order predicate
logic and more.
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