deducible
UK[dɪˈdjuːsəbl]US[dɪˈduːsəbl]
adj
Able to be deduced or logically inferred from something known or assumed.
Morpheme Breakdown
de
duc
ible
de
away, from
duc
lead
ible
capable of
Etymology
The word 'deducible' is built upon the logical framework of Latin. Its core is the verb ducere, "to lead," which traces back to the Proto-Indo-European root deuk-, also meaning "to lead." The prefix de- adds the sense of "down from" or "away from." Thus, the literal sense of the Latin deducere was "to lead down or away." In logic and reasoning, this evolved into the concept of "leading" the mind from a general principle or set of facts to a specific conclusion. The suffix -ible, indicating capability, was then appended, forming an adjective that describes a conclusion which is capable of being logically led forth from the evidence.
Analysis
Structure: de (away, from) + duc (lead) + ible (capable of)
- de: A Latin prefix meaning "away, down, from, off."
- duc: A root from the Latin verb ducere, meaning "to lead."
- ible: A suffix from Latin -ibilis, forming adjectives meaning "capable of, fit for, worthy of."
Examples
If the premises are true, the conclusion is deducible by logical necessity.
The answer was not immediately obvious but was deducible from the clues provided.
The theorem is deducible from a few basic axioms.