> There is no evidence that Cantor himself ever considered the
> possibility that the continuum hypothesis is undecidable. Obviously
> formal investigations were far from his mind. [p. 213]

> For him mathematical theorems were theses about something being; he
> even was convinced that thh cardinal numbers aleph_0 and aleph were
> corresponding to realities in the physical world. We are afraid, he
> would not have enjoyed the "solution" of his questions by the modern
> foundational researcher. [p. 213] {{This sentence could be improved by
> another pair of quotation marks.}}

> Obviously it was difficult for Cantor to express in hard mathematical
> language, what he imagined. His "definitions" could appear rather
> questionable to a critical thinker like Kronecker. [p. 229] {{Good
> intuition is certainly preferable over fromalism.}}

> I have no doubts concerning the truth of the transfinite that I have
> recognized  by help of God and have been studying in its diversity and
> unity for more than 20 years. Every year and nearly every day advances
> me in this science. [...] From no other subjects of created nature I
> have safer knowledge than of the theorems of transfinite number- and
> type-theory.
> [G. Cantor to Pater I. Jeiler, Pfingsten 1888] {{Of course this
> intuition must not fail.}}

> Or is it advisable to completel refrain from set theory in primary
> school? Today we tend to recommend that. [p. 227] {{and not only
> there!}}

> [Quotations with page numbers from Herbert Meschkowski: "Georg Cantor:
> Leben, Werk und Wirkung", 2nd ed., Bibl. Inst., Mannheim (1981)]

> For German original texts see: Das Kalenderblatt 100707
> http://www.hs-augsburg.de/~mueckenh/KB/KB%20201-400.pdf

> Regards, WM