### Some articles on *undecidable statements, statements, undecidable, statement*:

Bew - Examples of

... See also List of

**Undecidable Statements**... See also List of

**statements**undecidable in ZFC There are two distinct senses of the word "**undecidable**" in mathematics and computer science ... in relation to computability theory and applies not to**statements**but to decision problems, which are countably infinite sets of questions each requiring a yes or no answer ... Such a problem is said to be**undecidable**if there is no computable function that correctly answers every question in the problem set (see**undecidable**problem) ...Undecidable Problem - Examples of

... There are two distinct senses of the word "

**Undecidable Statements**... There are two distinct senses of the word "

**undecidable**" in contemporary use ... in relation to Gödel's theorems, that of a**statement**being neither provable nor refutable in a specified deductive system ... second sense is used in relation to computability theory and applies not to**statements**but to decision problems, which are countably infinite sets of ...Mathematical Proof -

... A

**Undecidable Statements**... A

**statement**that is neither provable nor disprovable from a set of axioms is called**undecidable**(from those axioms) ... Mathematicians have shown there are many**statements**that are neither provable nor disprovable in Zermelo-Fraenkel set theory with the axiom of choice (ZFC), the standard system of set theory in mathematics (assuming ... theorem shows that many axiom systems of mathematical interest will have**undecidable statements**...### Famous quotes containing the word statements:

“A sentence is made up of words, a statement is made in words.... *Statements* are made, words or sentences are used.”

—J.L. (John Langshaw)