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Badiou uses the axioms of Zermelo–Fraenkel set theory to identify the relationship of being to history, Nature, the State, and God. Most significantly this use means that (as with set theory) there is a strict prohibition on self-belonging; a set cannot contain or belong to itself.
The field of ethics, along with aesthetics, concerns matters of value, and thus comprises the branch of philosophy called axiology. Various ethical theories pose various answers to the question "What is the greatest good?" and elaborate a complete set of proper behaviors for individuals and groups.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory — as a branch of mathematics — is mostly concerned with those that are relevant to mathematics as a whole.
Descriptive ethics, also known as comparative ethics, is the study of people's beliefs about morality. [1] It contrasts with prescriptive or normative ethics , which is the study of ethical theories that prescribe how people ought to act, and with meta-ethics , which is the study of what ethical terms and theories actually refer to.
The Nuremberg Code (German: Nürnberger Kodex) is a set of ethical research principles for human experimentation created by the court in U.S. v Brandt, one of the Subsequent Nuremberg trials that were held after the Second World War.
This has become known as Russell's paradox, the solution to which he outlined in an appendix to Principles, and which he later developed into a complete theory, the theory of types. Aside from exposing a major inconsistency in naive set theory, Russell's work led directly to the creation of modern axiomatic set theory. It also crippled Frege's ...
The history of ethics studies how moral philosophy has developed and evolved in the course of history. [193] It has its origin in ancient civilizations. In ancient Egypt, the concept of Maat was used as an ethical principle to guide behavior and maintain order by emphasizing the importance of truth, balance, and harmony.
Von Neumann–Bernays–Gödel set theory (NBG) is a commonly used conservative extension of Zermelo–Fraenkel set theory that does allow explicit treatment of proper classes. There are many equivalent formulations of the axioms of Zermelo–Fraenkel set theory. Most of the axioms state the existence of particular sets defined from other sets.