Sentence examples for set the theory from inspiring English sources
On top of the logical principles are axioms and schemata which describe the notion of set the theory codifies.
The present skepticism about innovation requires setting the theory and its model in different contexts and perspectives.
Z is strictly stronger than Mac Lane set theory; the former theory proves the consistency of the latter.
In this setting, the possibility theory and the fuzzy set theory could purvey a superseded approach to consider SC uncertainties.
According to the Boolean set theory, the membership of an element is described by exactly two crisp values.
Given the other axioms of Zermelo–Fraenkel set theory, the existence of bases is equivalent to the axiom of choice.
In set theory, the powerset operation can be iterated transfinitely along the cumulative hierarchy.
The Kuratowski argument is the following: Set theory cannot prove that set theory is consistent in the strong sense that some Vα is a model of set theory.
A stronger theory with classes, but still essentially a version of standard set theory, is the Kelley-Morse set theory in which Class Comprehension is strengthened to allow quantification over all classes in the formulas defining classes.
In set theory, the power-set operation assigns to each set of cardinality ℵα its set of all subsets, which has cardinality 2ℵα.
Zermelo set theory, the system Z described above, is still studied.
