Mill vs Whewell on Induction
How does science actually work?
Venue: Whewell, *History of the Inductive Sciences* (1837); *Philosophy of the Inductive Sciences* (1840); Mill, *A System of Logic* (1843, with revisions through eighth edition 1872).
The first sustained 19th-century debate on the structure of scientific inference.
William Whewell, polymath and Master of Trinity College, Cambridge, defended a complex, semi-Kantian view of induction: scientific discovery involves the "colligation of facts" under conceptions that the scientist supplies to the data — what we would now call hypothesis formation. The colligating conception is not derived from the data but introduced to organise them; successful theories then unify previously unconnected phenomena ("consilience of inductions"). Mill's *System of Logic* (1843) replied with a more austerely empiricist account: induction is generalisation from particular cases by his five "methods of experimental inquiry" (agreement, difference, residues, concomitant variations, joint method). The disagreement runs through eight editions of Mill's *Logic* (each adding new replies) and Whewell's successive responses. The debate is the founding 19th-century exchange on the philosophy of science and prefigures the 20th-century logic-of-discovery vs logic-of-justification distinction.
Historical Context
Whewell and Mill were the two leading British philosophers of science of the mid-19th century; their disagreement was personal as well as intellectual, and the *System of Logic* contains sharp rebuttals of Whewell that Whewell responded to in detail. Both stood in the broader British empiricist tradition but disagreed on whether that tradition could accommodate active hypothesis-formation.
Parties
Scientific discovery proceeds by the active "colligation of facts" under conceptions that the scientist supplies; the success of a theory consists in unifying previously unconnected phenomena (consilience). Pure inductive generalisation by Mill's methods does not capture how science actually advances.
Key arguments
- Colligation of facts: discovery requires the scientist to supply a conception not given in the data (e.g., Kepler's "ellipse" was not derivable from the observations but introduced to organise them).
- Consilience of inductions: a theory gains credibility by unifying phenomena from different classes (Newton's gravity unifying falling bodies, tides, and planetary motion).
- Mill's methods are useful but secondary; they apply once a theory is in place, not to generate it.
- The history of science (Whewell's vast *History*) is the empirical record of how discovery actually proceeds — and it is colligational, not Millean.
Induction is generalisation from particular cases via the five methods of experimental inquiry; Whewell's "colligation" adds nothing the methods cannot capture, and his appeal to mind-supplied conceptions reintroduces the *a priori* through the back door.
Key arguments
- Five methods of experimental inquiry (agreement, difference, residues, concomitant variations, joint method) formalise scientific inference from observation.
- Kepler's ellipse, Newton's gravity — all reducible, on Mill's view, to systematic generalisation from observation by the methods.
- Whewell's "supplied conceptions" are themselves derived from prior experience, however indirectly; they are not Kantian *a priori* contributions.
- Consilience of inductions is just multiple inductions agreeing, which on Mill's account is the natural strengthening of empirical support.
Allied schools
Dimensions Engaged
Observer
Observer · Knowledge Extent: how active vs passive is the cognitive contribution to scientific knowledge?
Information
Information · Ontological Status: are theoretical conceptions read off the data or imposed on them?
Verdict in retrospect
The 20th-century philosophy of science largely vindicated Whewell's emphasis on active hypothesis-formation — Popper, Hanson, Kuhn, Lakatos all recognise that observation is theory-laden and that the "logic of discovery" is not Millean induction. Mill's methods retain a use in experimental design and causal inference, but as part of a larger picture closer to Whewell's. Whewell's philosophical reputation has been rehabilitated by historians of science (Snyder, Yeo) over the last few decades.
Related Debates
Sharing parties or aligned schools.
Related Experiments
Experiments that share dimensions and/or aligned schools with this debate.
Other Personas Aligned With This Debate
Ranked by declared-influence weight in the schools either party is allied with. The named parties themselves are excluded — they're already listed above.
Works Most Aligned With This Debate
Ranked by declared-influence weight in the schools either party is allied with.
Related Films
Films engaging the same dimensions as this debate.
Related Contemporary Dilemmas
Dilemmas that engage the same dimensions as this debate.
Further reading
- Whewell, *Philosophy of the Inductive Sciences* (1840)
- Mill, *A System of Logic*, Book III (1843; 8th ed. 1872)
- Snyder, *Reforming Philosophy: A Victorian Debate on Science and Society* (2006)