Controversy Over Cantor's Theory
In mathematical logic, the theory of infinite sets was first developed by Georg Cantor. Although this work has become a thoroughly standard fixture of classical set theory, it has been criticized in several areas by mathematicians and philosophers.
Cantor's theorem is that there are sets having cardinality greater than the (already infinite) cardinality of the set of whole numbers {1,2,3,...}. Cantor's work gave rise to some remarks from Kronecker and others. Logician Wilfrid Hodges (1998) has commented on the energy devoted to refuting this "harmless little argument", asking, "what had it done to anyone to make them angry with it?"
Read more about Controversy Over Cantor's Theory: Cantor's Argument, Reception of The Argument, Objection To The Axiom of Infinity
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