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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 ]
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 ...
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
Paul Ernest is currently emeritus professor of the philosophy of mathematics education at University of Exeter, UK. [1] He is best known for his work on philosophical aspects of mathematics education and his contributions to developing a social constructivist philosophy of mathematics. He is currently working on questions about ethics in ...
It is one of the oldest recreational mathematics publications still in existence. [1] Eureka includes many mathematical articles on a variety of different topics – written by students and mathematicians from all over the world – as well as a short summary of the activities of the society, problem sets , puzzles, artwork and book reviews.
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]
Critical mathematics pedagogy is an approach to mathematics education that includes a practical and philosophical commitment to liberation. [1] Approaches that involve critical mathematics pedagogy give special attention to the social, political, cultural and economic contexts of oppression, as they can be understood through mathematics. [2]
Western philosophies of mathematics go as far back as Pythagoras, who described the theory "everything is mathematics" (mathematicism), Plato, who paraphrased Pythagoras, and studied the ontological status of mathematical objects, and Aristotle, who studied logic and issues related to infinity (actual versus potential).
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