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  2. Claim (philosophy) - Wikipedia

    en.wikipedia.org/wiki/Claim_(philosophy)

    A claim is a substantive statement about a thing, such as an idea, event, individual, or belief. It's truth or falsity is open to debate. It's truth or falsity is open to debate. Arguments or beliefs may be offered in support, and criticisms and challenges of affirming contentions may be offered in rebuttal.

  3. Math wars - Wikipedia

    en.wikipedia.org/wiki/Math_wars

    In the United States, math wars are debates over modern mathematics education, textbooks and curricula that were triggered by the publication in 1989 of the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM) and subsequent development and widespread adoption of a new generation ...

  4. Traditional mathematics - Wikipedia

    en.wikipedia.org/wiki/Traditional_mathematics

    In general, math textbooks which focus on instruction in standard arithmetic methods can be categorized as a traditional math textbook. Reform math textbooks will often focus on conceptual understanding, usually avoiding immediate instruction of the standard algorithms and frequently promoting student exploration and discovery of the relevant ...

  5. Begging the question - Wikipedia

    en.wikipedia.org/wiki/Begging_the_question

    An example might be a situation where A and B are debating whether the law permits A to do something. If A attempts to support his position with an argument that the law ought to allow him to do the thing in question, then he is guilty of ignoratio elenchi .

  6. List of philosophical problems - Wikipedia

    en.wikipedia.org/wiki/List_of_philosophical_problems

    In formal logic, the statement "If today is Saturday, then 1+1=2" is true. However, '1+1=2' is true regardless of the content of the antecedent; a causal or meaningful relation is not required. The statement as a whole must be true, because 1+1=2 cannot be false. (If it could, then on a given Saturday, so could the statement).

  7. Argument from ignorance - Wikipedia

    en.wikipedia.org/wiki/Argument_from_ignorance

    Philosophy portal; Argument from silence – Argument based on the absence of statements in historical documents, rather than their presence; Hitchens's razor – General rule rejecting claims made without evidence; List of fallacies; Martha Mitchell effect – Labelling real experiences as delusional

  8. Philosophy of mathematics - Wikipedia

    en.wikipedia.org/wiki/Philosophy_of_mathematics

    Examples of unexpected applications of mathematical theories can be found in many areas of mathematics. A notable example is the prime factorization of natural numbers that was discovered more than 2,000 years before its common use for secure internet communications through the RSA cryptosystem. [20]

  9. Premise - Wikipedia

    en.wikipedia.org/wiki/Premise

    A premise or premiss [a] is a proposition—a true or false declarative statement—used in an argument to prove the truth of another proposition called the conclusion. [1] Arguments consist of a set of premises and a conclusion. An argument is meaningful for its conclusion only when all of its premises are true. If one or more premises are ...

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