### Cardinal arithmetic for skeptics

by Shelah. [Sh:400a]

American Math Soc Bulletin. New Series, 1992

We pressent a survey of some results of the pcf-theory and
their applications to cardinal arithmetic. We review basics notions
(in section 1), briefly look at history in section 2 (and some
personal history
in section 3). We present main results on pcf in section 5 and
describe
applications to cardinal arithmetic in section 6. The limitations
on
independence proofs are discussed in section 7, and in section
8 we discuss the
status of two axioms that arise in the new setting. Applications to
other areas are found in section 9.

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