Pocket Set Theory

Pocket set theory (PST) is an alternative set theory in which there are only two infinite cardinals, ℵ0 and c. The theory was first suggested by Rudy Rucker in his Infinity and the Mind. The details set out in this entry are due to the American mathematician Randall M. Holmes.

Read more about Pocket Set TheoryArguments Supporting PST, The Theory, Remarks On The Axioms, Some PST Theorems, Possible Extensions

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Pocket Set Theory - Possible Extensions
... axiom of free construction to PST, any consistent system of set-theoretical axioms will have an inner model in the resulting system ... It is an unfriendly feature of PST that it cannot handle classes of sets of real numbers or classes of sets of real functions ... One example is In this version, the cardinality of an infinite set is either or, and the cardinality of a proper class is (which means that the generalized continuum ...

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