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The Problem of Induction (SACE Stage 2 Philosophy)

Syllabus dot point

“Explain Hume's problem of induction and evaluate proposed responses including Popper's falsificationism and pragmatic vindication”

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Quick answer

The problem of induction is David Hume's argument that we have no rational justification for inferring that unobserved cases will resemble observed ones. Every inductive inference, such as the sun will rise tomorrow because it always has, secretly relies on the assumption that nature is uniform. But that assumption cannot be proved by reason, since its denial is not contradictory, and it cannot be proved by experience without arguing in a circle. The challenge is to explain why this undermines the foundations of science and to assess responses such as Karl Popper's falsificationism and pragmatic justifications.

Jump to a section
  1. What this dot point is asking
  2. Hume's argument
  3. Why this matters
  4. Popper's falsificationism
  5. Other responses
  6. Evaluation
  7. Assessment-style questions

What this dot point is asking

You need to reconstruct Hume's argument, show why it is a circle, and evaluate at least one serious attempt to answer it.

Hume's argument

Induction is reasoning from observed cases to a general conclusion or to a prediction about unobserved cases. We rely on it constantly: bread has nourished us before, so it will nourish us again. Hume asked what justifies this. He argued that any such inference depends on the principle of the uniformity of nature, the assumption that the future will resemble the past and that unobserved cases resemble observed ones.

How could that principle be justified? Hume divides all reasoning into two kinds. Demonstrative reasoning concerns relations of ideas, like mathematics, where the denial is a contradiction. But it is not contradictory to suppose nature might change, so the uniformity principle cannot be demonstrated. The other kind, probable or factual reasoning, is itself inductive, so to justify induction by appeal to its past success is to assume the very principle in question. The justification is circular. Hume concludes that our reliance on induction is a matter of custom or habit, not reason.

Why this matters

If Hume is right, then the entire edifice of empirical science rests on a foundation that reason cannot underwrite. Laws of nature, predictions, and even the everyday expectation that the floor will support you are all inductive. The problem is not that these beliefs are false but that we cannot give a non-circular reason for holding them. This is a sceptical result about justification, not about truth.

Popper's falsificationism

Karl Popper accepted that induction cannot be justified and tried to show that science does not actually need it. On his view, science proceeds not by confirming theories through repeated observation but by attempting to falsify bold conjectures. A theory is scientific if it forbids certain observations and therefore exposes itself to refutation. We never prove a theory true; we only retain those that have survived serious attempts to refute them.

The attraction is that falsification is deductive: a single counterexample logically refutes a universal claim, so no inductive leap is required. The standard objection is that Popper has not really escaped induction. To rely on a theory that has so far survived testing, for instance to build a bridge with it, still assumes that its past survival is a guide to future performance, which is an inductive assumption in disguise.

Other responses

Pragmatic vindication, associated with Hans Reichenbach, argues that even if we cannot prove induction works, we can show that if any method works, induction will, so we lose nothing by using it. Probabilistic approaches try to reframe the issue using Bayesian conditionalisation, though critics note these still need prior probabilities that look inductive. P. F. Strawson offered a dissolving move: to ask whether induction as a whole is rational is like asking whether the law is legal; being reasonable just means proportioning belief to evidence in the inductive way, so the demand for an external justification is confused.

Evaluation

Hume's argument is widely regarded as valid: the circularity is real and no response fully closes it on Hume's own terms. The live question is whether the demand for a non-circular justification is the right demand. Strawson and the pragmatists suggest the problem may be misframed rather than solved, while Popper reorganises scientific method around deduction at the cost of arguably reintroducing induction at the point of application. A strong answer concedes the force of the sceptical argument while assessing how far each reply changes the question rather than answering it.

The circularity is the heart of it

Hume's key move is that justifying induction by its past success uses induction, so the argument is circular. Naming the uniformity of nature principle and showing it can be neither demonstrated nor established without circularity is what earns the analytical marks.

Reconstructing Hume's circle in an essay

The analytical marks come from making the circularity explicit. Work it in steps.

Step 1: state the inference and its hidden premise

Give an inductive inference (the sun will rise because it always has) and identify the uniformity of nature principle it assumes.

Step 2: rule out demonstrative justification

Show the principle cannot be demonstrated, since its denial is not a contradiction; nature could change.

Step 3: rule out factual justification

Show that justifying it by induction's past success uses induction, so the reasoning is circular.

Step 4: evaluate a response and conclude

Assess Popper, pragmatic vindication or Strawson, then judge whether they answer or merely reframe the problem. Naming the principle and exposing the circle is what earns the top band.

Common errors
Saying induction is unreliable
Hume does not claim inductive beliefs are false, only that we cannot justify them non-circularly. The point is about justification.
Thinking Popper solves the problem
Popper avoids induction in theory testing but the objection is that applying surviving theories smuggles it back in.
Confusing this with the problem of the external world
Induction concerns inference to unobserved cases, not whether perception reaches reality at all.

Assessment-style questions

Questions on this dot point, each with a worked answer, written by ExamExplained. Philosophy has no written exam, so use them to check your understanding before your assessment tasks.

Practice15 marks
"Hume showed that inductive reasoning cannot be rationally justified." Critically discuss, evaluating at least one proposed response.
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A 15 mark essay needs Hume's argument reconstructed, its significance, evaluated responses and a defended conclusion.

Reconstruct the argument. Set out the uniformity of nature principle and show it can be neither demonstrated (its denial is not contradictory) nor established without circularity.

Show the significance. Explain that all empirical science rests on induction, so this is a sceptical result about justification, not truth.

Evaluate responses. Assess Popper's falsificationism, pragmatic vindication and Strawson's dissolving move, noting what each changes.

Conclude. Defend a position, for example that the circularity stands but the demand may be misframed. Markers reward the circularity made explicit and a defended thesis.

Practice12 marks
Does Popper's falsificationism solve the problem of induction? Evaluate.
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A 12 mark essay needs Popper's view explained, tested against the problem and judged.

Explain falsificationism. Science proceeds by attempting to falsify bold conjectures; a single counterexample deductively refutes a universal claim, so no inductive leap is needed.

Test it. Grant that theory testing avoids induction, then press the objection that relying on surviving theories in application assumes past survival predicts future performance, which is inductive.

Judge. Conclude whether Popper relocates rather than removes induction. Markers reward the application objection engaged directly and a defended verdict.

Practise this

Sources & how we know this

ExamExplained