deducible

UK: dɪˈdjuːsəbl | US: dɪˈduːsəbl

Definition
  1. adj. capable of being logically inferred or derived from evidence

  2. adj. (archaic) capable of being traced or led back to a source

Structure
de <down/away>duc <lead>ible <capable of>
Etymology

The word "deducible" originates from Latin deducere ("to lead down or away"), combining de- (indicating reversal or removal) and ducere ("to lead"). The suffix -ible (from Latin -ibilis) denotes capability. Historically, it described something that could be logically traced or derived, evolving into its modern meaning of logical inference. The morpheme duc appears in related words like "deduce," "conduct," and "produce," consistently retaining its core meaning of "leading."

Examples
  1. The conclusion was deducible from the experimental data.

  2. Her argument made the solution deducible even for beginners.

  3. In mathematics, theorems must be deducible from axioms.

  4. The origins of the custom are no longer deducible due to lost records.

  5. If the premises are true, the result is logically deducible.