List of Statements Undecidable in ZFC

List Of Statements Undecidable In ZFC

The mathematical statements discussed below are provably undecidable in ZFC (the Zermelo–Fraenkel axioms plus the axiom of choice, the canonical axiomatic set theory of contemporary mathematics), assuming that ZFC is consistent.

Read more about List Of Statements Undecidable In ZFC:  Axiomatic Set Theory, Set Theory of The Real Line, Order Theory, Group Theory, Measure Theory, Functional Analysis

Famous quotes containing the words list of, list and/or statements:

    Thirty—the promise of a decade of loneliness, a thinning list of single men to know, a thinning brief-case of enthusiasm, thinning hair.
    F. Scott Fitzgerald (1896–1940)

    Modern tourist guides have helped raised tourist expectations. And they have provided the natives—from Kaiser Wilhelm down to the villagers of Chichacestenango—with a detailed and itemized list of what is expected of them and when. These are the up-to- date scripts for actors on the tourists’ stage.
    Daniel J. Boorstin (b. 1914)

    Nonwhite and working-class women, if they are ever to identify with the organized women’s movement, must see their own diverse experiences reflected in the practice and policy statements of these predominantly white middle-class groups.
    Kimberly Crenshaw (b. 1959)