What does inductively mean?
Inductively is an adverb meaning "by induction," most often describing reasoning that begins with particular observations, examples, or cases and uses them to establish a broader pattern, rule, or conclusion. This use is especially common in scientific, academic, and philosophical writing. For instance, a researcher may identify a correlation inductively by examining repeated observations before proposing a general law. In mathematics and logic, "inductively" can also mean through mathematical induction, in which a proposition is established by proving an initial case and showing that a valid step carries the result to the next case. The word is often contrasted with "deductively": inductive reasoning moves from examples toward a general principle, while deductive reasoning moves from general premises toward particular conclusions. The technical sense "by electromagnetic induction" also occurs in descriptions of heating, charging, or energy transfer. Although accurate, "inductively" is usually more formal than the simpler phrase "by induction."
adverbInductively means by induction, especially by reasoning from particular observations or examples toward a general conclusion. It can also refer to mathematical induction or, in technical contexts, electromagnetic induction.
- By inductive reasoning, deriving a general principle from particular observed instances.
- By mathematical induction, by establishing a base case and then proving that the result follows for successive cases.
- By electromagnetic induction, especially when describing the heating, charging, or transfer of energy by an induced current.
"The researcher identified the pattern inductively by comparing observations from many separate cases."
"The relationship was discovered inductively through years of field observations."
"The theorem can be proved inductively by showing that the base case holds and that each subsequent case follows from the preceding one."
Inductively, you reason upward—from examples to a rule; deductively, you reason downward—from the rule to the example.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does inductively come from?
The adverb inductively was formed from the adjective inductive with the suffix -ly. Both belong to a word family rooted in Latin inducere, meaning "lead in," "introduce," or "persuade," and in Latin inductivus, "tending to induce." The logical sense of inductive developed through English usage, where it came to contrast with deductive reasoning.
How inductively is actually used
In general argument, the word is most common in academic, scientific, and logical contexts. It is less suitable than simply saying "by induction" in casual speech, and it should not be treated as a synonym for every kind of empirical inference.
Easily confused with inductively
Inductive reasoning proceeds from particular cases toward a general conclusion, whereas deductive reasoning proceeds from general premises toward particular conclusions.