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.
... 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 ...
Famous quotes containing the words theory, pocket and/or set:
“The theory of rights enables us to rise and overthrow obstacles, but not to found a strong and lasting accord between all the elements which compose the nation.”
—Giuseppe Mazzini (18051872)
“It is at a fair that man can be drunk forever on liquor, love, or fights; at a fair that your front pocket can be picked by a trotting horse looking for sugar, and your hind pocket by a thief looking for his fortune.”
—E.B. (Elwyn Brooks)
“And that enquiring man John Synge comes next,
That dying chose the living world for text
And never could have rested in the tomb
But that, long travelling, he had come
Towards nightfall upon certain set apart
In a most desolate stony place....”
—William Butler Yeats (18651939)