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单词 axiom
释义
axiom

Mathematics
  • A statement whose truth is either to be taken as self-evident or to be assumed. Many areas of pure mathematics, such as group theory, involve assuming a set of axioms and discovering what results can be logically deduced from them. See abstraction.


Computer
  • In logic, a statement that is stipulated to be true for a particular chain of reasoning. See deduction.


Philosophy
  • A proposition laid down as one from which we may begin; an assertion that is taken as fundamental, at least for the purposes of the branch of enquiry in hand. The axiomatic method is that of defining a set of such propositions, and the proof procedures or rules of inference that are permissible, and then deriving the theorems that result. It may be thought to be a hallmark of a particularly rigorous or ‘scientific’ approach to theories to demand that they should be axiomatized; on the other hand a willingness to rethink and challenge even accepted axioms has its own value.


Economics
  • A sentence or proposition that is not proved or demonstrated but is used as a starting point for deducing other conclusions. When used in economics, an axiom is any initial assumption from which other statements are logically derived. In this use, an axiom is not necessarily a self-evident truth but is instead a formal statement used in further deduction.


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