Some mathematical principles, such as the two in the title of this chapter, are so obvious that you might think they would only produce equally obvious results. To convince you that “It ain’t necessarily so” we illustrate them with examples that were suggested by Paul Erdős to be included in The Book. We will encounter instances of them also in later chapters.
CITATION STYLE
Aigner, M., & Ziegler, G. M. (2018). Pigeon-hole and double counting. In Proofs from THE BOOK (pp. 195–205). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-57265-8_28
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