[SydPhil] Reminder: Ekaterina Koubychkina @ Thu 11 Sep 2014 15:00 - 16:30 (Current Projects)

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Title: Ekaterina Koubychkina
Truth-functional approach to epistemic logic and Fitch's paradox.



The aim of my talk is to present a new truth-functional approach to analyse  
the expressions of the form "agent knows x" or "agent does not know x" in a  
formal way. The epistemic systems (such as K, T and others) propose to  
formalize the mentioned expressions by an operator Kax ("the agent a knows  
that x"). This is not the only way to formalize such kind of statements.



My idea is to use a many-valued logic where we introduce the fact of  
knowing or not knowing something at the level of valuations. By this, we do  
not need to use the K-operator at the syntax level, but we still have a  
method to distinguish known and unknown statements. Founding on this  
assumption, I introduce the logic (or better to say the family of logics,  
as there are several systems based on the same semantic assumption), that I  
call the logic of a rational agent.  This logic can throw new light on  
Fitch's paradox: if we accept the thesis that all truths are knowable, then  
all truths are already known. In particular, I show that using the logic of  
a rational agent, the paradox is no longer derivable (at least in its  
standard form).


When: Thu 11 Sep 2014 15:00 - 16:30 Eastern Time - Melbourne, Sydney
Calendar: Current Projects
Who:
     * Kristie Miller- creator

Event details:  
https://www.google.com/calendar/event?action=VIEW&eid=XzcwcTM0ZGhrOGwyamdiOWc4b3JrY2I5azZ0MjNhYmExNzBwMzhiYTI2aDM0NGdhNTYxMzM4aDIxNm8gZmV2MWxkcjRsa2h2MDM2b2U0aW4yanR0ZGdAZw

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