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Examen
Genericphenomenaingroups–Someanswersandmany Questions
GENERICPHENOMENAINGROUPS
GENERICPHENOMENAINGROUPS
4 IGORRIVIN f irst, let’s talk about what it means for some property P to be generic for some (possibly) infinite (but countable) set S. 3. Anidealist approach to randomness First, define a measure of size v on the elements of S. This should satisfy some simple axioms, such as: (1) v(x) ≥ 0 for all x ∈ S. (2) The set Sk = {x ∈ S|v(x) ≤ k} is finite for every k. Let now P be a predicate on the elements of S– think of a predicate as just a function from S to {0,1}...
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