Rough Sets and Sorites Paradox
نویسندگان
چکیده
We discuss the rough set approach to approximation of vague concepts. There are already published several papers on rough sets and vague concepts staring from the seminal papers by Zdzis law Pawlak. However, only a few of them are discussing the relationships of rough sets with the sorites paradox. This paper contains a continuation of discussion on this issue.
منابع مشابه
Sorites paradox and vague geographies
The sorites paradox is ranked among the top ve paradoxes of philosophy (Sainsbury, Paradoxes, 2nd ed., Cambridge University Press, Cambridge, 1995). It is simply stated as ‘what is a heap’. Deriving from the paradox is a de nition of vagueness, which is contrary to the Boolean concept of the world implicit in much geographical teaching and thought, and the representation of geographical informa...
متن کاملThe Impact of Using Multi-Dimensional and Combinatory Vague Terms on the Possibility of Formulating Sorites Paradoxes
We cannot definitely determine precise boundaries of application of vague terms like “tall”. Since it is only a height of a person that determines whether that person is tall or not, we can count “tall” as an example of a linear vague term. That means that all objects in a range of significance of “tall” can be linearly ordered. Linear vague terms can be used to formulate three basic versions o...
متن کاملFacing up to the Sorites Paradox
The ancient sorites paradox is traditionally attributed to Eubulides, a contemporary of Aristotle and a member of the Megarian school, who is also credited with inventing the liar paradox. The sorites paradox figures centrally in most discussions of vagueness in philosophy and in logic. In my view, it has profound implications for metaphysics and semantics, as well as for logic. In this paper I...
متن کاملStrict Finitism and the Happy Sorites
Call an argument a ‘happy sorites’ if it is a sorites argument with true premises and a false conclusion. It is a striking fact that although most philosophers working on the sorites paradox find it at prima facie highly compelling that the premises of the sorites paradox are true and its conclusion false, few (if any) of the standard theories on the issue ultimately allow for happy sorites arg...
متن کاملOn the Circularity in the Sorites Paradox
I begin by highlighting the importance of the step size in the induction step of the sorites paradox. A careful analysis reveals that the step size can be characterised as a proper instance of the concept very small. After having accurately described the structure of sorites-susceptible predicates, I argue that the structure of the induction step in the Sorites Paradox is inherently circular. T...
متن کامل