The tripartite view of (propositional) knowledge (call this view: TVK) is a view that wishes to give an analysis of constructions such as "X knows that p" where 'X' stands for a noun phrase referring to a person and 'p' is a placeholder for a sentence. According to TVK "X knows that p" iff (if and only if):
X believes that p
X is justified in believing that p
That p is true
(These conditions are all necessary and jointly sufficient)
Edmund Gettier (1963) proposed the following counterexample to this view:
Suppose two people A and B are going for a job interview. A has been told by some authoritative individual in the company that B is going to get the job. A has also just seen B count out all of the coins in their pocket, they totalled 10. A believes that:
(i) B is going to get the job and B has 10 coins in their pocket
A infers from (i) to (ii):
(ii) The person who is going to get the job has 10 coins in their pocket
Suppose, however that A will in fact get the job. And, not only that, A happens to have 10 coins in their pocket. (ii) is therefore true, A believes (ii), and A is justified in believing it because they inferred it from premises that were themselves justified. However, intuitively we wouldn't want to say that A knows (ii). So we have a case where A has a justified true belief that (ii) but A does not know that (ii).