Abstract
A finite set is naturally measured by its cardinality. A set of reals is naturally measured by its Lebesgue measure (non-measurable sets do exist, just we never meet them). There is no similarly universal way to measure and compare infinite sets of integers. The most naturally defined one is the asymptotic density.
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© 2009 Birkhäuser Verlag
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(2009). Density. In: Combinatorial Number Theory and Additive Group Theory. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8962-8_13
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DOI: https://doi.org/10.1007/978-3-7643-8962-8_13
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8961-1
Online ISBN: 978-3-7643-8962-8
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