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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 ]
Some of its opponents use this to argue against mathematics for social justice because it would necessarily come at the expense of teaching mathematical knowledge. [16] Eric Gutstein's book Rethinking Mathematics has been said to calculate controversy [17] and to unnecessarily bring partisan politics into mathematics. The criticism is shared ...
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 ...
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]
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 ...
The book received widespread praise for elucidating the consequences of reliance on big data models for structuring socioeconomic resources. Clay Shirky from The New York Times Book Review said "O'Neil does a masterly job explaining the pervasiveness and risks of the algorithms that regulate our lives," while pointing out that "the section on solutions is weaker than the illustration of the ...
[1] [2] Colyvan described his intention for the book as being a textbook that "[gets] beyond the first half of the twentieth century and [explores] the issues capturing the attention of contemporary philosophers of mathematics". [3] As a result, the book focuses less on historical debates in the philosophy of mathematics than other similar ...
This principle, foundational for all mathematics, was first elaborated for geometry, and was systematized by Euclid around 300 BC in his book Elements. [ 21 ] [ 22 ] The resulting Euclidean geometry is the study of shapes and their arrangements constructed from lines, planes and circles in the Euclidean plane ( plane geometry ) and the three ...
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