Countable ordinals and fast-growing functions (Part 2)
- ๐ค Speaker: Harold Simmons (Univ. of Manchester)
- ๐ Date & Time: Thursday 30 November 2006, 10:00 - 12:00
- ๐ Venue: Computer Laboratory, Room FW11
Abstract
As part of the three day meeting on Countable ordinals and fast growing functions I will teach
A short introduction to Ordinal Notations.
I will take a pseudo-historical approach covering
- Cantor—the problem that led him to discover (invent) ordinals
- Hardy —his attempt to index the continuum using ordinals
- Veblen—how he produced hierarchies that named larger and larger ordinals
That takes us up to 1908, when Veblen was writing. We now jump to the 1950s with
- Bachmann and Schรผutte —a brief look at what they did
- Modern methods —if there is time.
I am writing a companion set of notes that will probably cover more than can be done in the talks. A draft of these can be found at
http://www.cs.man.ac.uk/~hsimmons/TEMP
as the notes
OrdNotes.pdf
These will change as I get them in better shape.
In due course I will also provide links to other relevant material.
Harold Simmons
Series This talk is part of the Mini Courses in Theoretical Computer Science series.
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Harold Simmons (Univ. of Manchester)
Thursday 30 November 2006, 10:00-12:00