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  2. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...

  3. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  4. Dyscalculia - Wikipedia

    en.wikipedia.org/wiki/Dyscalculia

    Most adults with dyscalculia have a hard time processing math at a 4th-grade level. For 1st–4th grade level, many adults will know what to do for the math problem, but they will often get them wrong because of "careless errors", although they are not careless when it comes to the problem.

  5. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    This support comes in degrees: strong arguments make the conclusion very likely, as is the case for well-researched issues in the empirical sciences. [ 1 ] [ 16 ] Some theorists give a very wide definition of logical reasoning that includes its role as a cognitive skill responsible for high-quality thinking.

  6. Principles and Standards for School Mathematics - Wikipedia

    en.wikipedia.org/wiki/Principles_and_Standards...

    The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]

  7. Category:Unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/Category:Unsolved_problems...

    This category is intended for all unsolved problems in mathematics, including conjectures. Conjectures are qualified by having a suggested or proposed hypothesis. Conjectures are qualified by having a suggested or proposed hypothesis.

  8. 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 ...

  9. Hilbert's problems - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_problems

    The 6th problem concerns the axiomatization of physics, a goal that 20th-century developments seem to render both more remote and less important than in Hilbert's time. Also, the 4th problem concerns the foundations of geometry, in a manner that is now generally judged to be too vague to enable a definitive answer.

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