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Full Idea
As far as Kronecker was concerned, Cantor had built a whole structure on the irrational numbers, and so that structure had no foundation at all.
Gist of Idea
Cantor's account of infinities has the shaky foundation of irrational numbers
Source
Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
Book Ref
Clegg,Brian: 'Infinity' [Robinson 2003], p.193