**Pocket set theory** (**PST**) is an alternative set theory in which there are only two infinite cardinals, ℵ_{0} 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 Theory: Arguments Supporting PST, The Theory, Remarks On The Axioms, Some PST Theorems, Possible Extensions

### Other articles related to "pocket set theory, set, sets":

**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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