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)

    Do your children view themselves as successes or failures? Are they being encouraged to be inquisitive or passive? Are they afraid to challenge authority and to question assumptions? Do they feel comfortable adapting to change? Are they easily discouraged if they cannot arrive at a solution to a problem? The answers to those questions will give you a better appraisal of their education than any list of courses, grades, or test scores.
    Lawrence Kutner (20th century)

    Dogmatic theological statements are neither logical propositions nor poetic utterances. They are “shaggy dog” stories; they have a point, but he who tries too hard to get it will miss it.
    —W.H. (Wystan Hugh)