Teaching notes
Learning aim: students distinguish belief, truth and justification, then explain why a belief can meet the familiar three-part test yet seem true through luck. Assess the reasons students offer, not just their yes/no verdicts.
1 · The working clock
Belief and truth are present, with an ordinary reliable basis. Many everyday and fallibilist accounts treat this as knowledge. This is not a proof against skepticism, nor does it settle what every philosophical theory requires. Ask students whether ordinary knowledge must eliminate every conceivable possibility of error.
2 · The lucky guess
Belief and truth are present; the case supplies no supporting reason or reliable method. The guess is true by coincidence. Students should identify this missing basis rather than say merely that Jon lacks confidence.
3 · The mistaken belief
The proposition “it is 3:00 p.m.” is false, so the standard truth condition fails. Leah’s sincerity does not make it true. Whether her belief is justified is a separate question; justification can be fallible on many accounts.
4 · The stopped clock
This is a familiar example of the problem often discussed alongside Gettier cases. On an account that judges justification by Sam’s available reasons, Sam appears to have a justified true belief. Many readers nevertheless deny knowledge because the truth is an accidental match: the same clock would give the same answer when the time is wrong. The stopped-clock example predates Gettier’s 1963 paper; it is not one of the two examples in that paper.
Some theories assess justification partly through reliability and may question whether Sam is justified at all. Let students state that alternative, but ask them to explain what it changes. The exercise does not establish one universally accepted analysis of knowledge.
Discuss the change
A useful revision might give Sam a second, functioning time source and a good basis for trusting it. “Sam feels completely certain” changes confidence, not the faulty connection to the time. “Sam checks the same stopped clock twice” usually preserves the problem. Students may invent another solution if they explain how it reduces the relevant luck.
Two misunderstandings to catch
- “Nobody can know anything.” A counterexample to one account of knowledge does not, by itself, establish global skepticism.
- “Knowledge means justified true belief plus luck.” Here luck creates the challenge. Philosophers disagree about how best to explain or rule out the troublesome kind of luck.