Show that an infinite map can be colored with four colors iff each of its submaps can be colored with four colors. Hint: Take a language that has constant symbols for each country and that has four predicate symbols of an argument for colors. Use the compactness theorem.

Show that an infinite map can be colored with four colors iff each of its submaps can be colored with four colors. Hint: Take a language that has constant symbols for each country and that has four predicate symbols of an argument for colors. Use the compactness theorem.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Mathematical Logic

Validity, completeness, and models in first-order logic

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