Translation for 'set theory' from English to Bulgarian

set theory {noun}

unverified теория {ж} на множестватамат.

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theory {noun}

теория {ж}

probability theory {noun}

теория {ж} на вероятностите

set {noun}

множество {ср}мат.

to set about {verb}

unverified (за)почвам

to set back {verb}

връщам назад

after a set period of time {adv}

след определен период от време

• Unlike axiomatic set theories, which are defined using formal logic, naive set theory is defined informally, in natural language.
• Indeed, in axiomatic set theory, this is taken as the definition of "same number of elements" (equinumerosity), and generalising this definition to infinite sets leads to the concept of cardinal number, a way to distinguish the various sizes of infinite sets.
• In some systems of axiomatic set theory, relations are extended to classes, which are generalizations of sets.
• These are equivalent in the sense that, in the presence of other basic axioms of set theory, they imply the axiom of choice and are implied by it.
• A standard solution to this problem is found in Zermelo's set theory, which does not allow the unrestricted formation of sets from arbitrary properties.

• One notable movement in this direction was the New Math of the 1960s and 1970s, which attempted to teach arithmetic in the spirit of axiomatic development from set theory, an echo of the prevailing trend in higher mathematics.