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S vs Completeness - What's the difference?

s | completeness |

As a letter s

is the letter s with a.

As a noun completeness is

the state or condition of being complete.

s

Translingual

{{Basic Latin character info, previous=r, next=t, image= (wikipedia s)

Letter

  • The nineteenth letter of the .

    • Symbol

    (wikipedia) (mul-symbol)
  • voiceless alveolar fricative
  • Symbol for second , an SI unit of measurement of time.

    • See also

    (Latn-script) * * (esh) * (dze) * {{Letter , page=S , NATO=Sierra , Morse=··· , Character=S , Braille=? }} Image:Latin S.png, Capital and lowercase versions of S , in normal and italic type Image:Fraktur letter S.png, Uppercase and lowercase S in Fraktur Symbols for SI units ----

    completeness

    English

    (wikipedia completeness)

    Noun

    (-)
  • the state or condition of being complete
  • (logic) The property of a logical theory that whenever a wff is valid then it must also be a theorem. Symbolically, letting T'' represent a theory within logic ''L'', this can be represented as the property that whenever T \vDash \phi is true, then T \vdash \phi must also be true, for any wff ''φ'' of logic ''L .
  • *
    • THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H'':
    (a) ''If'' \vDash F [''or even if'' \aleph_0-\vDash F], ''then'' \vdash F. ''If'' E_1, . . . , E_k \vDash F [''or even if'' E_1, . . . , E_k \ \aleph_0-\vDash F], ''then     E_1, . . . , E_k \vdash F.
    (b) [...]

    Synonyms

    *(state of being complete ): completion

    Antonyms

    * incompleteness