Definition of set theory in English:

set theory

noun

mass noun

The branch of mathematics which deals with the formal properties of sets as units (without regard to the nature of their individual constituents) and the expression of other branches of mathematics in terms of sets.
集（合）论
Example sentencesExamples
- In particular, she has attempted to reconcile poetry with set theory, a special branch of algebra.
- In addition to his work on set theory, Cohen has worked on differential equations and harmonic analysis.
- He therefore attempted to put set theory on an axiomatic basis to avoid the paradoxes.
- This framework is probably a new development in logic and set theory.
- Ernst Schröder's important work is in the area of algebra, set theory and logic.

Derivatives

set-theoretic

adjectiveˌsɛtθɪəˈrɛtɪkˌsɛtˌθiəˈrɛdɪk

Relating to set theory, the branch of mathematics which deals with the formal properties of sets as units.
research in set-theoretic topology
Example sentencesExamples
- When Brouwer was beginning his career as a mathematician, set-theoretic topology was in a primitive state.
- It followed that number-theoretic operations could be explained in terms of set-theoretic operations such as intersection, union, and the like.
- Later de Groot worked on set-theoretic topology.

set-theoretical

adjective

The latter case, where an anaphor refers to the set-theoretical difference of restrictor and scope, has been studied by both psycholinguists and formal semanticists.
But whereas the French had analysed set-theoretical constructions carried out with the help of the Axiom of Choice, Luzin went considerably further and considered difficulties arising within the theory of effective sets.

Definition of set theory in US English:

set theory

nounset ˈTHirē

The branch of mathematics which deals with the formal properties of sets as units (without regard to the nature of their individual constituents) and the expression of other branches of mathematics in terms of sets.
集（合）论
Example sentencesExamples
- Ernst Schröder's important work is in the area of algebra, set theory and logic.
- In addition to his work on set theory, Cohen has worked on differential equations and harmonic analysis.
- In particular, she has attempted to reconcile poetry with set theory, a special branch of algebra.
- This framework is probably a new development in logic and set theory.
- He therefore attempted to put set theory on an axiomatic basis to avoid the paradoxes.

词汇	set theory
释义	Definition of set theory in English: set theory noun mass noun The branch of mathematics which deals with the formal properties of sets as units (without regard to the nature of their individual constituents) and the expression of other branches of mathematics in terms of sets. 集（合）论 Example sentencesExamples In particular, she has attempted to reconcile poetry with set theory, a special branch of algebra. In addition to his work on set theory, Cohen has worked on differential equations and harmonic analysis. He therefore attempted to put set theory on an axiomatic basis to avoid the paradoxes. This framework is probably a new development in logic and set theory. Ernst Schröder's important work is in the area of algebra, set theory and logic. Derivatives set-theoretic adjectiveˌsɛtθɪəˈrɛtɪkˌsɛtˌθiəˈrɛdɪk Relating to set theory, the branch of mathematics which deals with the formal properties of sets as units. research in set-theoretic topology Example sentencesExamples When Brouwer was beginning his career as a mathematician, set-theoretic topology was in a primitive state. It followed that number-theoretic operations could be explained in terms of set-theoretic operations such as intersection, union, and the like. Later de Groot worked on set-theoretic topology. set-theoretical adjective The latter case, where an anaphor refers to the set-theoretical difference of restrictor and scope, has been studied by both psycholinguists and formal semanticists. But whereas the French had analysed set-theoretical constructions carried out with the help of the Axiom of Choice, Luzin went considerably further and considered difficulties arising within the theory of effective sets. Definition of set theory in US English: set theory nounset ˈTHirē The branch of mathematics which deals with the formal properties of sets as units (without regard to the nature of their individual constituents) and the expression of other branches of mathematics in terms of sets. 集（合）论 Example sentencesExamples Ernst Schröder's important work is in the area of algebra, set theory and logic. In addition to his work on set theory, Cohen has worked on differential equations and harmonic analysis. In particular, she has attempted to reconcile poetry with set theory, a special branch of algebra. This framework is probably a new development in logic and set theory. He therefore attempted to put set theory on an axiomatic basis to avoid the paradoxes.
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