So, What Does It All Mean?

Alexander Soifer
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Alexander Soifer: University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences

Chapter Chapter 66 in The New Mathematical Coloring Book, 2024, pp 777-778 from Springer

Abstract: Abstract Shelah–Soifer’s results we have discussed in this book seem surprising and even strange. How can the presence of the Axiom of Choice or its version affect whether we need 2 colors or an uncountable infinity of colors for coloring a particular easily understood graph? How can the chromatic number of the plane depend upon our choice of the axioms for set theory? What do these results mean?

Date: 2024
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DOI: 10.1007/978-1-0716-3597-1_66

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