[FOM] Continuum Hypothesis
Adrian-Richard-David Mathias
Adrian-Richard-David.Mathias at univ-reunion.fr
Fri May 16 02:45:40 EDT 2003
A good start would be the two articles by W. Hugh Woodin in the
Notices of the American Mathematical Society; the first was in
the June/July issue, 2001, (Volume 48 number 6) pp567--576; the second in
the August issue of that year (Volume 48 number 7) pp 681-690.
A lot has happened since Cohen. In the 60s it seemed that there would be
little to choose between different possible values, amongst the alephs, of
the continuum; but in the light of work starting in the 80s, it seems that
the three contexts that permit the richest structure to the continuum are
1) the continuum well-ordered and of size aleph_1
2) the continuum well-ordered and of size aleph_2
3) some version of the axiom of determinacy true and the continuum
therefore not well-orderable.
A.R.D.Mathias,
Professeur de Mathématiques Pures
Département de Mathématiques et Informatique,
Université de la Réunion
15, Avenue René Cassin BP 7151
97715 St Denis de la Réunion, Messagerie 9,
France
bureau: 00262 262 93 82 88
télécopie: 00262 262 93 82 60
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