[FOM] question about the complexity of a sentence
Rupert McCallum
Rupert.McCallum at acu.edu.au
Sun Jun 20 23:39:58 EDT 2010
In his thesis "The Search for New Axioms" Peter Koellner asserts that the following statement
SPHERE. One cannot take a sphere apart into finitely many boldface Sigma^1_2 pieces, and rearrange them using rigid motons to form a sphere twice the size of the original
is a Sigma^1_3 sentence. I am having trouble seeing this. Can anyone explain to me why it is so?
Dr Rupert McCallum
Lecturer in Mathematics
(02) 9701 4050
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