consequentialism
The universal subset is the empty set. It is a subset of all sets.
A number does not have a subset.
define a subset
The empty set is a subset.
An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.
Utilitarianism is often considered a subset of consequentialism, which is an ethical theory that judges the morality of an action based on its outcomes or consequences. Within utilitarianism, the focus is specifically on maximizing overall happiness or utility. This approach contrasts with deontological theories, which emphasize duties and rules regardless of the outcomes.
It depends on what the subset is of.
Algebra
The noun utilitarianism is used as a subject or an object; for example: Subject: Utilitarianism is included in this philosophy course. Object: Part of this philosophy course covers utilitarianism.
It collapses into Act-Utilitarianism.
act and rule utilitarianism.
fundamental and secondary utilitarianism
The main difference between act utilitarianism and rule utilitarianism is that act utilitarianism focuses on the consequences of individual actions to determine what is morally right, while rule utilitarianism emphasizes following general rules that lead to the greatest overall happiness or utility for society.
Act Utilitarianism is a theory of ethics. Basically, you need to think of it as weighing the pros and cons. The needs of the many outweigh the needs of the few, and sometimes you might have to do something you don't really want to do in order to do the things you do want to do.
utilitarianism
Some recommended books on utilitarianism include "Utilitarianism" by John Stuart Mill, "The Methods of Ethics" by Henry Sidgwick, and "Utilitarianism: For and Against" by J.J.C. Smart and Bernard Williams.
Recall that Improper subset of A is the set that contains all and only elements of A. Namely A. So does the empty set have all of A provided A is not empty? Of course not! The empty set can be only considered an improper subset of itself.