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SUMMARY:Countable ordinals and fast-growing functions (Part 2) - Harold Si
 mmons (Univ. of Manchester)
DTSTART:20061130T100000Z
DTEND:20061130T120000Z
UID:TALK5436@talks.cam.ac.uk
CONTACT:Sam Staton
DESCRIPTION:As part of the three day meeting on\n_Countable ordinals and f
 ast growing functions_\nI will teach\n\n*A short introduction to Ordinal N
 otations*.\n\nI will take a pseudo-historical approach covering\n\n* Canto
 r -- the problem that led him to discover (invent) ordinals\n* Hardy  -- h
 is attempt to index the continuum using ordinals\n* Veblen -- how he produ
 ced hierarchies that named larger and larger\n   ordinals\n\nThat takes us
  up to 1908\, when Veblen was writing. We now jump to the\n1950s with\n\n*
  Bachmann and Schüutte  -- a brief look at what they did\n\n* Modern meth
 ods  -- if there is time.\n\nI am writing a companion set of notes that wi
 ll probably cover more\nthan can be done in the talks. A draft of these ca
 n be found at\n\n     http://www.cs.man.ac.uk/~hsimmons/TEMP\n\nas the not
 es\n\n                OrdNotes.pdf\n\nThese will change as I get them in b
 etter shape.\n\nIn due course I will also provide links to other relevant 
 material.\n\n\nHarold Simmons\n
LOCATION:Computer Laboratory\, Room FW11
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