inconsistent set
1Set theory of the real line — is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size …
2inconsistent equations — n. two or more equations impossible to satisfy by any one set of values for the variables (Ex.: x + y = 1 and x + y = 2) * * * …
3inconsistent equations — n. two or more equations impossible to satisfy by any one set of values for the variables (Ex.: x + y = 1 and x + y = 2) …
4inconsistent — [[t]ɪ̱nkənsɪ̱stənt[/t]] 1) ADJ GRADED (disapproval) If you describe someone as inconsistent, you are criticizing them for not behaving in the same way every time a similar situation occurs. You are inconsistent and unpredictable. ...the… …
5inconsistent — adjective 1 ideas or statements that are inconsistent cannot be accepted or believed together because they each state the facts differently: The accounts of the witnesses are inconsistent. (+ with): What the Government says now is inconsistent… …
6inconsistent — in|con|sis|tent [ˌınkənˈsıstənt] adj 1.) two statements that are inconsistent cannot both be true = ↑contradictory ≠ ↑consistent ▪ The accounts of the witnesses are inconsistent. inconsistent with ▪ His results are inconsistent with the data we… …
7inconsistent — adjective Date: 1620 lacking consistency: as a. not compatible with another fact or claim < inconsistent statements > b. containing incompatible elements < an inconsistent argument > c. incoherent or illogical in thought or actions ; changeable d …
8Set-theoretic definition of natural numbers — Several ways have been proposed to define the natural numbers using set theory.The contemporary standardIn standard (ZF) set theory the natural numbersare defined recursively by 0 = {} (the empty set) and n +1 = n ∪ { n }. Then n = {0,1,..., n… …
9Naive set theory — This article is about the mathematical topic. For the book of the same name, see Naive Set Theory (book). Naive set theory is one of several theories of sets used in the discussion of the foundations of mathematics.[1] The informal content of… …
10Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… …
