TY - JOUR
T1 - The Impact of Using Multi-Dimensional and Combinatory Vague Terms on the Possibility of Formulating Sorites Paradoxes
JF - Organon F
Y1 - 2014
A1 - Jan Štěpánek
KW - Combinatory vagueness
KW - linear vagueness
KW - multi-dimensional vagueness
KW - paradox
KW - Paradox of the Heap
KW - sorites
KW - vagueness
AB - 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.
VL - 21
UR - http://www.klemens.sav.sk/fiusav/doc/organon/prilohy/2014/1/185-198.pdf
U2 - Articles
U3 - 185198
U5 - 1
ER -