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Feb 8, 2010 at 20:20 comment added Hans-Peter Stricker At least every interesting natural number is (= represents) also an interesting (finite) set of natural numbers - via Ackermann encoding of hereditarily finite sets (see: gdz.sub.uni-goettingen.de/dms/load/img/…).
Feb 8, 2010 at 16:52 comment added Hans-Peter Stricker Chapeau! But: The question was about interesting properties of sets of natural numbers. Can your proof be generalized?
Feb 8, 2010 at 16:47 comment added MBN Also, every natural number is interesting in infinitely many ways.
Feb 8, 2010 at 16:40 comment added Joel David Hamkins And also every transfinite ordinal is interesting! (for the same reason...)
Feb 8, 2010 at 16:37 history answered Joel David Hamkins CC BY-SA 2.5