Any framework replacing transitive 'better than' must still assign action-guidance under conditions where Arrhenius's impossibility theorems show no consistent population axiology can satisfy all plausible adequacy conditions.
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A branch of ethics that tries to figure out what makes a world with different numbers and types of people 'good' or 'bad'—for example, is a world with fewer happy people better than one with more less-happy people?
Transitive 'better than'(as used in ethics and decision-making)
A logical rule where if A is better than B, and B is better than C, then A must be better than C—like how it works with numbers (5 > 3 and 3 > 1 means 5 > 1).
framework(Carnap's philosophy of language and logic)
A structured system of rules or language that must be in place for rational discourse to be possible.