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Modern Mathematical Logic

Authors

Joseph Mileti
, Grinnell College, Iowa
Published 2022

Description

This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily…

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Key features

  • A complete introduction to the subject including chapters on model theory, set theory, and computability, in addition to the fundamental material on completeness, compactness, and incompleteness
  • Written by a celebrated instructor using modern notation, conventions, and perspectives
  • Includes instructor guide and can be readily adapted for a variety of courses at the upper-undergraduate and beginning graduate level
  • Numerous examples reinforce the key ideas and illustrate their applications in other areas of mathematics
  • Classroom-tested exercises serve to consolidate readers' understanding
  • Comprehensive grounding and suggestions for further reading leave the reader well-prepared for further study

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