Epistemological question

[KikoSanchez]

The Gettier problem is one of the main and most highly regarded rebuttal to the tradition account of knowledge (TAK), also known as the Justified True Belief. The JTB account of knowledge, states knowing in this manner:

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

P is true
S believes that P is true, and
S is justified in believing that P

The gettier problem attacks this account by showing (or does it) that it may lead to 'knowledge by luck', which many people would not allow to count as knowledge. In these problems, the subject has a JTB, but it may not be what we call knowledge. Gettier cases are built on 2 propositions:
1) JF: false beliefs can be justified
2) JD: deduction always transmits justification


One Case:

Smith has applied for a job, but, it is claimed, 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 identity) 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 (unknowingly and by sheer chance) also had 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.


A similar case:

Subject is driving by a town well known for its red barns. The subject looks into a field and sees a red barn. What the subject does not know is that the field is scattered with many fake, look-alike barns (due to a recent tornado, many barns were destroyed, but in order to keep tourists coming by, fake, one-walled barn look-alikes were erected). It is true the subject is looking at a barn, believes he is looking at a barn and is justified in thinking he sees a barn. Yet, it is equally likely he would have looked at a fake barn and formed the same belief. Therefore, it does not appear his JTB is equivalent to knowledge.


What do you all think? Has Gettier made a good case, is one of his propositions incorrect or has he miscontrued the JTB...or do Gettier subjects indeed have knowledge?