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Epistemology

The Gettier problem is a fundamental problem in contemporary epistemology (the philosophy of knowledge), issuing from counterexamples to the definition of knowledge as justified true belief.

The problem owes its name to a remarkable three-page paper published in 1963, by Edmund Gettier, called "Is Justified True Belief Knowledge?". In the paper, Gettier argues that it is not.

1 The JTB account

Until Gettier's essay was published, most analytic philosophers took it for granted that something we might call the JTB account of knowledge was correct. The JTB account claims that knowledge can be conceptually analyzed as justified true belief--which is to say that the meaning of sentences such as "Smith knows that it rained today" can be given with the following set of necessary and jointly sufficient conditions:

A subject S knows that a proposition P is true if, and only if:

  1. S believes that P
  2. P is true
  3. S is evidentially justified in believing that P is true

Gettier's paper used counterexamples to argue that there are cases of beliefs which are both true and justified--therefore satisfying all three conditions for knowledge on the JTB account--but which do not appear to be genuine cases of knowledge. Gettier, therefore, argued that his counterexamples show that the JTB account of knowledge is false--and thus, that a different conceptual analysis is needed to correctly track what we mean by "knowledge."

2 Gettier's counterexamples

Gettier's case is based on two purported counterexamples to the JTB analysis. Both of them rely on the fact that justification is preserved by entailmentImplication or entailment is used in propositional logic and predicate logic to describe a relationship between two sentences or sets of sentences. Semantic Implication states that the set A of sentences semantically entails the set B of sentences. Formal: that is, that if Smith is justified in believing P, and Smith realizes that the truth of P entails the truth of Q, then Smith would also be justified in believing Q. Gettier calls these counterexamples "Case I" and "Case II":

2.1 Case I

Smith has applied for a job, but has a justified belief that "Jones will get the job". He also has a justified belief that "Jones has 10 coins in his pocket". Smith therefore (justifiably) concludes (by the rule of the transitivity of identityThe transitivity of identity is the logical principle that, if a b, and b c, then a c. For example, if you know that the Morning Star is the same thing as the Evening Star, and you know that the Evening Star is Venus, you can conclude that the Morning Sta) that "the man who will get the job has 10 coins in his pocket".
In fact, Jones does not get the job. Instead, Smith does. However, as it happens, Smith also has 10 coins in his pocket. So his belief that "the man who will get the job has 10 coins in his pocket" was justified and true. But it does not appear to be knowledge.

2.2 Case II

Smith has a justified belief that "Jones owns a Ford". Smith therefore (justifiably) concludes (by the rule of disjunction introductionDisjunction introduction is the logic principle that, if A is true, then it's true that either A or B is true. For example, if it's true that it's raining outside, it's trivially true that either it's raining outside, or my car is freshly waxed. Since a d) that "Jones owns a Ford, or Brown is in Barcelona", even though Smith has no knowledge whatsoever about the location of Brown.
In fact, Jones does not own a Ford, but by sheer coincidence, Brown really is in Barcelona. Again, Smith had a belief that was true and justified, but not knowledge.


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