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  2. Completeness of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Completeness_of_the_real...

    In the decimal number system, completeness is equivalent to the statement that any infinite string of decimal digits is actually a decimal representation for some real number. Depending on the construction of the real numbers used, completeness may take the form of an axiom (the completeness axiom), or may be a theorem proven from the construction.

  3. Academic writing - Wikipedia

    en.wikipedia.org/wiki/Academic_writing

    Academic style has often been criticized for being too full of jargon and hard to understand by the general public. [11] [12] In 2022, Joelle Renstrom argued that the COVID-19 pandemic has had a negative impact on academic writing and that many scientific articles now "contain more jargon than ever, which encourages misinterpretation, political spin, and a declining public trust in the ...

  4. Completeness (logic) - Wikipedia

    en.wikipedia.org/wiki/Completeness_(logic)

    Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...

  5. List of style guides - Wikipedia

    en.wikipedia.org/wiki/List_of_style_guides

    The standard of the academic publishing industry including many journal publications. Geoscience Reporting Guidelines—for geoscience reports in industry, academia and other disciplines. [30] Handbook of Technical Writing, by Gerald J. Alred, Charles T. Brusaw, and Walter E. Oliu.—for general technical writing.

  6. Consistency - Wikipedia

    en.wikipedia.org/wiki/Consistency

    [citation needed] The completeness of the propositional calculus was proved by Paul Bernays in 1918 [citation needed] [4] and Emil Post in 1921, [5] while the completeness of (first order) predicate calculus was proved by Kurt Gödel in 1930, [6] and consistency proofs for arithmetics restricted with respect to the induction axiom schema were ...

  7. Leon Henkin - Wikipedia

    en.wikipedia.org/wiki/Leon_Henkin

    He is remembered by his students for his great kindness, as well as for his academic and teaching excellence. [3] Henkin is mainly known for his completeness proofs of diverse formal systems, such as type theory and first-order logic (the completeness of the latter, in its weak version, had been proven by Kurt Gödel in 1929). [4]

  8. Complete theory - Wikipedia

    en.wikipedia.org/wiki/Complete_theory

    In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation is provable. That is, for every sentence φ , {\displaystyle \varphi ,} the theory T {\displaystyle T} contains the sentence or its negation but not both (that is, either T ⊢ φ ...

  9. Wikipedia:Completeness - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Completeness

    Completeness index is a fundamental property of an encyclopedia, measuring its current state of completion. This measure is further refined in the absolute completeness index, which measures the state of completion relative to a theoretical perfect encyclopedia. Its study falls into two disciplines: encyclostatics and encyclodynamics.

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