Search results
Results from the WOW.Com Content Network
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 ...
Bentham, an ethical hedonist, believed the moral rightness or wrongness of an action to be a function of the amount of pleasure or pain that it produced. The felicific calculus could in principle, at least, determine the moral status of any considered act.
Computer ethics is a part of practical philosophy concerned with how computing professionals should make decisions regarding professional and social conduct. [1]Margaret Anne Pierce, a professor in the Department of Mathematics and Computers at Georgia Southern University has categorized the ethical decisions related to computer technology and usage into three primary influences: [2]
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]
Utilitarian Jeremy Bentham discussed some of the ways moral investigations are a science. [9] He criticized deontological ethics for failing to recognize that it needed to make the same presumptions as his science of morality to really work – whilst pursuing rules that were to be obeyed in every situation (something that worried Bentham).
This fundamental, Galois group theory in mathematics has been considerably expanded, at first to groupoids—as proposed in Alexander Grothendieck's Esquisse d' un Programme (EdP)—and now already partially carried out for groupoids; the latter are now further developed beyond groupoids to categories by several groups of mathematicians. Here ...
The chapter includes a number of examples to support this idea. [9] For example, Colyvan says that the shift from Roman numerals to Arabic numerals could have prompted mathematical progress because Arabic numerals, unlike Roman numerals, have recursion built in. [1] Another example provided is the relevance of mathematical notation in the proof ...