What does derivable mean?
The term 'derivable' refers to the ability to obtain or deduce something through logical reasoning or inference. It implies a clear and direct connection between the conclusion and the premises. In mathematics, derivable refers to a theorem or statement that can be logically deduced from a set of axioms and theorems. In general, derivable means having a clear and logical origin or basis. This concept is essential in various fields, including mathematics, philosophy, and science, where it helps to establish the validity and reliability of conclusions. The word 'derivable' is often used in academic and technical contexts to describe the process of deriving or obtaining knowledge through logical reasoning.
adjectiveCapable of being derived or obtained by reasoning or inference; having a clear and logical origin or basis.
- 1. Capable of being derived or obtained by reasoning or inference; having a clear and logical origin or basis.
"The theory is derivable from a set of axioms and theorems."
"The theory is derivable from a set of axioms and theorems."
"The conclusion is derivable from the premises."
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of derivable
The word 'derivable' comes from the verb 'derive', which means to obtain or deduce something through reasoning or inference. The verb 'derive' is derived from the Latin 'derivare', which means to draw or derive something. The concept of derivability has been essential in various fields, including mathematics, philosophy, and science, where it helps to establish the validity and reliability of conclusions.
Usage notes
The word 'derivable' is often used in academic and technical contexts to describe the process of deriving or obtaining knowledge through logical reasoning. It is commonly used in mathematics, philosophy, and science to describe the process of deducing or inferring conclusions from premises. The word 'derivable' can be used in both formal and informal contexts, but it is more commonly used in formal writing and academic discourse.