(from the article `metalogic`) The two central questions of metalogic are those of the completeness and consistency of a formal system based on axioms. In 1931 Gödel made ... ...in the language of the theory, either that sentence or its negation belongs to the theory. An immediate consequence of this application of the ... Two q...

Found on http://www.britannica.com/eb/a-z/c/121

(from the article `real number`) The real numbers can be characterized by the important mathematical property of completeness, meaning that every nonempty set that has an upper bound ... ...numbers fill in the gaps by providing additional numbers that are the limits of sequences of approximating rational numbers. Formally, this ... [...

Found on http://www.britannica.com/eb/a-z/c/121

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*n]* - the state of being complete and entire 2. [n] - (logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system

Found on http://www.webdictionary.co.uk/definition.php?query=completeness

• (n.) The state of being complete.

Found on http://thinkexist.com/dictionary/meaning/completeness/

*noun* (logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system

Found on http://wordnetweb.princeton.edu/perl/webwn?s=completeness

*[cryptography]* In cryptography, a boolean function is said to be complete if the value of each output bit depends on all input bits. This is a desirable property to have in an encryption cipher, so that if one bit of the input (plaintext) is changed, every bit of the output (ciphertext) has an average of 50% probability of changing. The eas...

Found on http://en.wikipedia.org/wiki/Completeness_(cryptography)

*[knowledge bases]* A knowledge base KB is complete if there is no formular α such that KB ⊭ α and KB ⊭ ¬α. Example of knowledge base with incomplete knowledge: KB := { A ∨ B } Then we have KB ⊭ A and KB ⊭ ¬A. In some cases, you can make a consistent knowledge base complete with the closed world assumption - that is, adding all...

Found on http://en.wikipedia.org/wiki/Completeness_(knowledge_bases)

*[logic]* == Forms of completeness == ...

Found on http://en.wikipedia.org/wiki/Completeness_(logic)

*[order theory]* ==Types of completeness properties== All completeness properties are described along a similar scheme: one describes a certain class of subsets of a partially ordered set that are required to have a supremum or infimum. Hence every completeness property has its dual, obtained by inverting the order-dependent definitions in th...

Found on http://en.wikipedia.org/wiki/Completeness_(order_theory)

*[statistics]* In statistics, completeness is a property of a statistic in relation to a model for a set of observed data. In essence, it is a condition which ensures that the parameters of the probability distribution representing the model can all be estimated on the basis of the statistic: it ensures that the distributions corresponding to...

Found on http://en.wikipedia.org/wiki/Completeness_(statistics)

**Com·plete'ness** * noun* The state of being complete.

Found on http://www.encyclo.co.uk/webster/C/122

A logical semantic property of the full linguistic representation, the Deep Structure. Surface Structures are complete if they represent every portion of the Deep Structure.

Found on http://www.encyclo.co.uk/local/20781

A logistic system (q.v.) may be called complete if there is no formula of the system which is not a theorem and which can be added to the list of primitive formulas (no other change being made) without rendering the system inconsistent, in one of the senses of consistency (q.v.). The pure propositional calculus -- as explained under logic, formal,....

Found on http://www.ditext.com/runes/c.html

Assertions about completeness deal with whether all transactions and accounts that should be in the financial statements are included. For example, management asserts that all purchases of goods and services are included in the financial statements. Similarly, management asserts that notes payable in the balance sheet include all such obligations o...

Found on http://www.ais-cpa.com/glosa.html

Component of data quality describing the completeness of coverage within a dataset or datasets.

Found on http://www.encyclo.co.uk/local/20195

The second aspect of Aristotle's requirements for a tragedy. By completeness, Aristotle emphasizes t

Found on http://www.encyclo.co.uk/local/22385

**No exact match found**