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A set (usually of letters) from which a subset is drawn. A sequence of letters is called a word, and a set of words is called a code.

For every ergodic flow on a nonatomic probability space, there is a measurable set intersecting almost every orbit in a discrete set.

Axiomatic set theory is a version of set theory in which axioms are taken as uninterpreted rather than as formalizations of pre-existing truths.

For any set theoretic formula f(x,t_1,t_2,...,t_n), In other words, for any formula and set A there is a subset of A consisting exactly of those elements which satisfy the ...

The set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.

A mathematical object (such as a set or function) is said to bounded if it possesses a bound, i.e., a value which all members of the set, functions, etc., are less than.

The cardinal number of any set is lower than the cardinal number of the set of all its subsets. A corollary is that there is no highest aleph (aleph).

A Chu space is a binary relation from a set A to an antiset X which is defined as a set which transforms via converse functions.

A set within which the values of a function lie (as opposed to the range, which is the set of values that the function actually takes).

A set U has compact closure if its set closure is compact. Typically, compact closure is equivalent to the condition that U is bounded.