derivability

Can be inferred

Derivability is the quality of being derivable—capable of being obtained, deduced, or traced from a source.

In logic and mathematics, derivability refers to whether a statement can be proven from axioms using formal rules: The derivability of the theorem from first principles took years to establish.

More broadly, it describes how readily something can be extracted or inferred from existing material.

mathematics

theorem

Demonstrated logical conclusion

proof · axiom · induction · recursion · formalism · completeness · incompleteness · consistency · decidability · computability

computation

algorithm

Finite problem-solving procedure

enumerable · complexity · tractability · reducibility · grammar · automaton · generative · parsing

linguistics

morpheme

Smallest meaningful language unit

root · stem · productive · inflection · conjugation · declension · etymology · neologism · compound · morphological

Opposites
logical/mathematical foundation

derivabilityprimitiveness

Undeveloped, basic quality

independence · self-evidence · irreducibility · postulation · givenness

epistemic accessibility

derivabilityinscrutability

Impossible to understand

ineffability · unknowability · inexplicability · intuitiveness · immediacy

Family

derive, derived, derivative, derivation, deriving, derives, derivable, derivational, derivatives

Familiarity
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Used worldwide · Timeless · Abstract · Rated G