Metalogic


Book Description

This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.










An Introduction to Metalogic


Book Description

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, covering many related topics in between.







An Introduction to Metalogic


Book Description

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, covering many related topics in between.




Sentence logic


Book Description

Two-volume introduction to formal logic. Volume I presents sentence logic and Volume II covers predicate logic and metatheory. Features easy-to-understand explanations and graded exercises.




An Introduction to Metalogic


Book Description

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, covering many related topics in between.




Technical Methods in Philosophy


Book Description

This book introduces the technical tools and concepts that are indispensable for advanced work in philosophy. Beginning with the fundamentals of set theory, the author guides the reader through relations, functions and the theory of arithmetic before using these tools to clarify the metatheory of the predicate calculus. There are discussions of recursive definitions, Godel's Theorem, and completeness for the predicate calculus. The text emphasizes the structure of these systems and the metatheory behind them.




Technical Methods In Philosophy


Book Description

This book introduces the technical tools and concepts that are indispensable for advanced work in philosophy. Beginning with the fundamentals of set theory, the author guides the reader through relations, functions and the theory of arithmetic before using these tools to clarify the metatheory of the predicate calculus. There are discussions of recursive definitions, Godel's Theorem, and completeness for the predicate calculus. The text emphasizes the structure of these systems and the metatheory behind them.