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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 ...
For example, Dennis Lindely argues for the more general analysis of statistics as the study of uncertainty. [1] The subject involves the meaning, justification, utility, use and abuse of statistics and its methodology, and ethical and epistemological issues involved in the consideration of choice and interpretation of data and methods of ...
His work on the parallel between ethics and mathematics [15] [16] received the 2005 Eureka Prize for Research in Ethics. [17] In 1998 he set up and taught for ten years a course on Professional Issues and Ethics in Mathematics at UNSW. [18] He conducted the "Restraint Project", a study of the virtue of temperance or self-control in Australia. [19]
Hedonimetry is the study of happiness ("experienced utility" [3]) as a measurable economic asset. The first major work in the field was an 1881 publication of Mathematical Psychics by the famous statistician and economist Francis Ysidro Edgeworth , who hypothesized a way of measuring happiness in units.
A Practical Companion To Ethics (Oxford University Press, 1997; 5th edition, 2020 ISBN 0-19-973058-X). A short guide to "the basic attitudes and skills that make ethics work". A 21st Century Ethical Toolbox (Oxford University Press, 2001; 5th edition, 2023; ISBN 9780190621155). A full-scale textbook for ethics in a pragmatic key.
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, which includes establishing the subfield entitled the philosophy of mathematics education, and for his contributions to developing a social constructivist 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. [22]