Paradoxical Decompositions: A Survey of Recent Results
Miklós Laczkovich · Birkhäuser Basel eBooks · 1994
The “paradox of infinity” states that an infinite set can be mapped injectively into a proper subset of itself. This fact was first discovered and clearly explained by Galileo Galilei in 1638 (Discorsi, First day [14]). About 250 years later R. Dedekind realized that this property characterizes the infinite sets and used it as the definition of infinity [9]. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.