[FOM] Ultrafinitism - help!

[T.Forster at dpmms.cam.ac.uk]

I have a student here who wants to write a fourth year (Part III) essay on 
ultrafinitism, a topic of which my knowledge is, as it were, *ultra*finite. 
Within 10 days i have to supply the faculty office a couple of paragraphs 
saying what the student should read and what sort of topics the essay 
should cover, which results should be proved, and so on.

     Any enthusiasts out there who can get me out of this hole?