The mysteries of infinite sets

N. Ya. Vilenkin

Chapter Chapter 2 in In Search of Infinity, 1995, pp 33-70 from Springer

Abstract: Abstract Pythagoras, Zeno, Plato, and Aristotle all discussed the one and the many. One Pythagorean defined a (natural) number as a collection of units, and in Book VII of the Elements Euclid writes that “Number is a collection consisting of units” (in ancient Greek mathematics one was not regarded as a number).

Keywords: Natural Number; Rational Number; Algebraic Number; Countable Subset; Large Cardinality (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4612-0837-2_2

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