adj.公理，不证自明

Axioms are the self-evident truths upon which all logical deductions are built.
公理是所有逻辑推理的基础，它们是不证自明的真理。
In geometry, Euclid's axioms establish the fundamental principles for constructing and understanding space.
在几何学中，欧几里得的公理确立了构建和理解空间的基本原理。
The scientific method is based on the axiomatic principle that hypotheses must be testable and falsifiable.
科学方法基于假设必须可检验并可被证伪的公理性原则。
In mathematics, the Axiom of Choice is a controversial but widely accepted principle.
在数学中，选择公理是一个有争议但广泛接受的原则。
Aristotle's logic, like his other disciplines, was grounded in a set of axiomatic principles.
亚里士多德的逻辑，如同他的其他学科，建立在一组公理之上。
The axiomatic system of set theory forms the foundation for much of modern mathematics.
集合论的公理体系构成了现代数学的基石。
In computer science, an algorithm is often defined by its input/output relationships, which can be seen as axiomatic statements.
在计算机科学中，算法常常通过其输入/输出关系来定义，这可以视为公理陈述。
The axiomatic approach in economics assumes certain basic principles, such as rationality and scarcity, to derive economic theories.
经济学中的公理方法假设某些基本原理，如理性与稀缺，来推导经济理论。
Philosophers debate whether there are objective moral axioms, or if morality is entirely subjective.
哲学家争论是否存在客观的道德公理，或者道德是否完全主观。
In formal systems, non-contradictory statements that cannot be proven or disproven from the given axioms are called undecidable.
在形式系统中，那些既不能从给定公理证明也不能反驳的非矛盾陈述被称为不可判定的。