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The Gettier argument is concerned with false propositions that seem to have sufficiently true justifications. Gettier problems occur when belief states become misrepresented by their indexicals. Ordinarily a justified premise should result in a true conclusion. However in Gettier cases it turns out that there are varying degrees of justification. By degrees of justification I mean a scale of weak justification to strong justification for beliefs deduced from propositions. The weaker justifications resulting in false conclusions may arise in multiple ways. A couple possibilities are, it could be that an agent's belief in the validity of a particular justification is incorrect or an agent’s use of the least efficient of multiple possible justifications. What Gettier needs is a tool that reliably contextualizes weak justification in order to produce strong justification.
A solution to Gettier’ problem of weak justification would be to employ the use of indexicals. Indexical’ are linguistic expressions whose reference can shift from context to context adding or subtracting information. Where Gettier’ justification is dependent on the binary relationship between subject and object; indexicals would add to the equation context. A contextually justified belief is the type of strong justification that produces true conclusions. This condition would have the effect of limiting possible rational deductions to only strong justification.
When S deduces Q from P without indexicals Q is justified via S’ acceptance that Q is true. Yet if for whatever reason Q is actually false week justification is the result. Q must be systematically confirmed as a fail safe or a way of avoiding week justification. To accomplish this task a step, contextualizing P has to be added between the deduction of Q from P and S accepting Q as true. So in that Q needs to be true P needs to be contextualized. Thus the new conditions for Q to be true would be via S’ acceptance and strong justification based on its indexical context.
Gettier problems create a false belief state by taking a shared experience and repurposing it as a single experience. This occurs when the first object of belief has either no indexical or an artificial indexical. And only by correcting the indexical can strong justification be deduced from the original object of belief.
If the belief state if (I) is artificial, the true belief state is represented by the indexical we. We the indexical gives P the appropriate context and makes Q true with strong justification in regards to Gettier problems. For example: (a (Jones is the man who will get the job.) As a rational deduction no longer coheres with the added condition of the indexical we. However, (b) the man with who will get the job has ten coins in his pocket) does still fit and is not only true but it has a strong justification. So to summarize, in order to solve Gettier’s problem invert the indexical of the subject being deduced, if it becomes an irrational deduction cast it to the flames and if it fits the indexical it has strong justification.