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  2. Ethics in mathematics - Wikipedia

    en.wikipedia.org/wiki/Ethics_in_mathematics

    Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics. It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental science . [ 1 ]

  3. Ethical calculus - Wikipedia

    en.wikipedia.org/wiki/Ethical_calculus

    A formal philosophy of ethical calculus is a development in the study of ethics, combining elements of natural selection, self-organizing systems, emergence, and algorithm theory. According to ethical calculus, the most ethical course of action in a situation is an absolute, but rather than being based on a static ethical code, the ethical code ...

  4. Relationship between mathematics and physics - Wikipedia

    en.wikipedia.org/wiki/Relationship_between...

    Before giving a mathematical proof for the formula for the volume of a sphere, Archimedes used physical reasoning to discover the solution (imagining the balancing of bodies on a scale). [11] Aristotle classified physics and mathematics as theoretical sciences, in contrast to practical sciences (like ethics or politics) and to productive ...

  5. Philosophy of mathematics - Wikipedia

    en.wikipedia.org/wiki/Philosophy_of_mathematics

    He showed that mathematical physics is a conservative extension of his non-mathematical physics (that is, every physical fact provable in mathematical physics is already provable from Field's system), so that mathematics is a reliable process whose physical applications are all true, even though its own statements are false. Thus, when doing ...

  6. Ethnomathematics - Wikipedia

    en.wikipedia.org/wiki/Ethnomathematics

    In mathematics education, ethnomathematics is the study of the relationship between mathematics and culture. [1] Often associated with "cultures without written expression", [2] it may also be defined as "the mathematics which is practised among identifiable cultural groups". [3]

  7. Mathematics education - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education

    Standards-based mathematics: a vision for pre-college mathematics education in the United States and Canada, focused on deepening student understanding of mathematical ideas and procedures, and formalized by the National Council of Teachers of Mathematics which created the Principles and Standards for School Mathematics.

  8. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Areas such as celestial mechanics and solid mechanics were then studied by mathematicians, but now are considered as belonging to physics. [10] The subject of combinatorics has been studied for much of recorded history, yet did not become a separate branch of mathematics until the seventeenth century. [11]

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