Metalogic

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Metalogic

Author: Geoffrey Hunter
language: en
Publisher: Univ of California Press
Release Date: 1973-06-26
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

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.
Metalogic for Students

Author: Roderic A. Girle
language: en
Publisher: Cambridge Scholars Publishing
Release Date: 2024-10-31
This text is for academics, postgraduates and upper-level students who want to know more about formal logic. The text assumes some elementary knowledge of formal logic. It covers the semantics and axiomatics of modern classical formal logic, as well as proofs of soundness, completeness, and both of Gödel’s theorems. There is also a discussion of the pictorial semantics of various logic diagrams: Euler, Carroll, and Venn diagrams, Karnaugh maps, and switching circuits. Lastly, the book covers the reliability of classical formal logic for the evaluation of everyday argumentation, and Nether Logic, the logic of the transmission of falsehood.