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There
have been 4 main attempts at trying to repair the damage made to
the tripartite theory be Gettier by introducing another condition
to the triangle (making it a square).

The
theories are as follows:
1.
No False Belief Condition: Beliefs cannot be based on a false
belief. This attempt argues that no knowledge can be claimed if
it relies on a false belief. So, in our example, it is false that
Fred is actually looking at Sam.
2.
Causal Connection Condition: There must be a causal connection
between the knowledge and the belief. This argument, first put forward
by Alvin Goldman, states that a belief must have an appropriate
connection to the knowledge claimed. In our example, Fred should
not be able to claim that he knows Sam is in the room because there
is no 'appropriate connection' between his viewing Tim (Sam's twin
brother) and his conclusion that Sam is in the room.
3.
Conclusive Reasons Condition: A reason must exist for the
belief that would not be true if the belief itself were false. This
was first put forward by Fred Dretske. If, for example, I believe
that there is a chair in front of me, the reason for believing that
it is there would not exist if the belief were false (that is, if
the chair were not there).
4.
Defeasibility Condition: Something is known as long as there
is no evidence to the contrary. This is a common sense view, argued
by Keith Lehrer and Thomas D. Paxson, which argues that Fred would
be perfectly entitled to claim that he knows that Sam is in the
room because he is not aware of anything to the contrary. Another
example would be the flat earth theory, or the concept that the
earth was the centre of the universe. These were once claimed as
knowledge by the majority of people - until further knowledge arrived
to prove that a different case.
Exercise
Are there any problems with any of the above theories? Take each
in turn and see if you can think of how they might be criticised.
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