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Symbolic Logic: An Accessible Introduction to Serious Mathematical Logic

Cover Page

Textbook for symbolic logic, beginning at a level appropriate for beginning students, and continuing through Gödel’s completeness and incompleteness theorems. On this page you will find links to download different sections of the text (formatted for either single- or double-sided printing). There are also answers to selected exercises—these are formatted on large pages, and best viewed on a larger monitor. Consistent with the license, I am happy for anyone to use this material. And I appreciate comments—which you may make via the Textbook Blog!

From the Preface: There is, I think, a gap between what many students learn in their first course in formal logic, and what they are expected to know for their second. . . . The aim of this text is to integrate material from these courses and, in particular, to make serious mathematical logic accessible to students I teach. The first parts introduce classical symbolic logic as appropriate for beginning students; the last parts build to Gödel’s completeness and ıncompleteness results. A distinctive feature of the last section is a complete development of Gödel’s second ıncompleteness theorem. Complete preface/contents to the textbook.

Textbook files (ver 9.06 — July 24, 2021):

Sentential Logic, first parts of chapters 1–7: SntL_single-sided and SntL_double-sided

Symbolic Logic: Volume I, all of chapters 1–8: SLVI_single-sided and SLVI_double-sided

Symbolic Logic: Volume II, all of chapters 9–14: SLVII_single-sided and SLVII_double-sided

Symbolic Logic, complete text: SL_single-sided and SL_double-sided

Symbolic Logic: Answers to Selected Exercises (there is also a version for instructors / request instructor password)

Some other useful files:

Symbolic Logic: An Accessible Introduction to Serious Mathematical Logic by Tony Roy is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Creative Commons License