In a manner that is self-evident or unquestionable, serving as an axiom or accepted principle. It indicates that something is taken as true without needing proof, forming the basis for further reasoning or argument. The term is widely used in philosophical, logical, and mathematical contexts, emphasizing the inherent certainty of a proposition.
Axiomatically meaning with examples
- The statement that all humans are mortal can be accepted axiomatically, allowing philosophers to build arguments about the nature of existence without needing to prove this fundamental truth continuously.
- In mathematics, certain properties, such as the commutative property of addition, are considered axiomatically valid, providing foundational support for various theorems and calculations that stem from these basic principles.
- When a scientist claims a theory is true axiomatically, they assume that the underlying principles are accepted within the scientific community, which facilitates further experimentation and validation of derived hypotheses.
- In legal contexts, the rights of individuals are often acknowledged axiomatically, ensuring that any legal arguments made must take into consideration these established rights as a fundamental part of jurisprudence.
- The concept of basic human rights is often stated axiomatically in constitutions, laying the groundwork for laws and policies that aim to protect these rights without the need for detailed justification every time.