The Paradoxes of the Infinite

The Paradoxes of the Infinite (German title: Paradoxien des Unendlichen) is a mathematical work by Bernard Bolzano on the theory of sets. ^[1]

5 relations: Bernard Bolzano, Galileo's paradox, Set (mathematics), Set theory, Subset.

Bernard Bolzano

Bernard Bolzano (born Bernardus Placidus Johann Nepomuk Bolzano; 5 October 1781 – 18 December 1848) was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his antimilitarist views.

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Galileo's paradox

Galileo's paradox is a demonstration of one of the surprising properties of infinite sets.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

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References

[1] https://en.wikipedia.org/wiki/The_Paradoxes_of_the_Infinite

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