%0 Journal Article
%J Organon F
%D 2014
%T The Impact of Using Multi-Dimensional and Combinatory Vague Terms on the Possibility of Formulating Sorites Paradoxes
%A Jan Štěpánek
%K Combinatory vagueness
%K linear vagueness
%K multi-dimensional vagueness
%K paradox
%K Paradox of the Heap
%K sorites
%K vagueness
%X 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 of the sorites paradox – the conditional sorites, the mathematical induction sorites, and the line-drawing sorites. In this paper I would like to explore a possibility of formulating sorites paradoxes with so called multi-dimensional and combinatory vague terms – terms for which it is impossible to create a linear ordering of all objects in their range of significance. Therefore, I will show which adjustments must be made and which simplifications we must accede to in order to formulate any version of the sorites paradox with multi-dimensional or combinatory vague terms. I will also show that only the conditional version of the sorites paradox can be construed with all three kinds of vague terms.
%B Organon F
%V 21
%P 185-198
%G English
%U http://www.klemens.sav.sk/fiusav/doc/organon/prilohy/2014/1/185-198.pdf
%9 State
%2 Articles
%3 185198
%# 1