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We consider several kinds of partition relations on the set
of real numbers and its powers, as well as their parameterizations with the set
of all infinite sets of natural numbers, and show that they hold in some models of set theory. The...
We give a procedure for counting the number of different proofs of a formula in various sorts of propositional logic. This number is either an integer (that may be 0 if the formula is not provable) or infinite.
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