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CROSSWORD
ANSWER

consistency

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The answer CONSISTENCY has 1 possible clue(s) in existing crosswords.

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The word CONSISTENCY is VALID in some board games. Check CONSISTENCY in word games in Scrabble, Words With Friends, see scores, anagrams etc.

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Definitions of consistency in various dictionaries:

noun - the property of holding together and retaining its shape

noun - a harmonious uniformity or agreement among things or parts

noun - logical coherence and accordance with the facts

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Possible Crossword Clues
Agreement — how thick!

Last Seen in these Crosswords & Puzzles
May 28 2011 The Times - Cryptic

Possible Jeopardy Clues
"Self-reliance" says contradict yourself, so what? This quality "is the hobgoblin of little minds"

Possible Dictionary Clues
Consistent behaviour or treatment.
The way in which a substance holds together thickness or viscosity.
consistent behaviour or treatment.
the way in which a substance holds together thickness or viscosity.
Agreement or logical coherence among things or parts: a rambling argument that lacked any consistency.
Correspondence among related aspects compatibility: questioned the consistency of the administration's actions with its stated policy.
Reliability or uniformity of successive results or events: pitched with remarkable consistency throughout the season.
Degree of density, firmness, or viscosity: beat the mixture to the consistency of soft butter.
a harmonious uniformity or agreement among things or parts
(logic) an attribute of a logical system that is so constituted that none of the propositions deducible from the axioms contradict one another

Consistency description
In classical deductive logic, a consistent theory is one that does not entail a contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory is consistent if it has a model, i.e., there exists an interpretation under which all formulas in the theory are true. This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. The syntactic definition states a theory * * * * T * * * {\displaystyle T} * is consistent if there is no formula * * * * φ * * * {\displaystyle \varphi } * such that both * * * * φ * * * {\displaystyle \varphi } * and its negation * * * * ¬ * φ * * * {\displaystyle \lnot \varphi } * are elements of the set of consequences of * * * * T * * * {\displaystyle T} * . Let * * * * A * * * {\displaystyle A} * be a set of closed sentences (informally "axioms") and * * * * ⟨ * A * ⟩ * * * {\displaystyle \langle A\rangle } * the set of closed sentences provable from * * * * A * * * {\displaystyle A} * under some (specified, possibly implicitly) formal deductive system. The set of axioms * * * * A * * * {\displaystyle A} * is consistent when * * * * φ * , * ¬ * φ * ∈ * ⟨ * A * ⟩ * * * {\displaystyle \varphi ,\lnot \varphi \in \langle A\rangle } * for no formula * * * * φ * * * {\displaystyle \varphi } * .If there exists a deductive system for which these semantic and syntactic definitions are equivalent for any theory formulated in a particular deductive logic, the logic is called complete. The completeness of the sentential calculus was proved by Paul Bernays in 1918 and Emil Post in 1921, while the completeness of predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931). Stronger logics, such as second-order logic, are not complete. * A consistency proof is a mathematical proof that a particular theory is consistent. The early development of mathematical proof theory was driven by the desire to provide finitary consistency proofs for all of mathematics as part of Hilbert's program. Hilbert's program was strongly impacted by incompleteness theorems, which showed that sufficiently strong proof theories cannot prove their own consistency (provided that they are in fact consistent). * Although consistency can be proved by means of model theory, it is often done in a purely syntactical way, without any need to reference some model of the logic. The cut-elimin...

Consistency description

In classical deductive logic, a consistent theory is one that does not entail a contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory is consistent if it has a model, i.e., there exists an interpretation under which all formulas in the theory are true. This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. The syntactic definition states a theory
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* for no formula
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* .If there exists a deductive system for which these semantic and syntactic definitions are equivalent for any theory formulated in a particular deductive logic, the logic is called complete. The completeness of the sentential calculus was proved by Paul Bernays in 1918 and Emil Post in 1921, while the completeness of predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931). Stronger logics, such as second-order logic, are not complete.
* A consistency proof is a mathematical proof that a particular theory is consistent. The early development of mathematical proof theory was driven by the desire to provide finitary consistency proofs for all of mathematics as part of Hilbert's program. Hilbert's program was strongly impacted by incompleteness theorems, which showed that sufficiently strong proof theories cannot prove their own consistency (provided that they are in fact consistent).
* Although consistency can be proved by means of model theory, it is often done in a purely syntactical way, without any need to reference some model of the logic. The cut-elimin...

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