Volume 15, 1982
Körner on Vagueness and Applied Mathematics
Körner's notion of vagueness, its relation to ostension and the alledged gulf between logic and experience are examined. Ostension is seen not to cause vagueness ~ there are precise concepts of mathematics which can be ostensively mtroduced. A distinction is drawn between classical logic not applymg to the vague world and not applymg to the vague language. The claims about logic and the vague world are unverifiable claims about existence. Körner's attempt to elimmate the seeming incompatibility between vague language and logic leads to a Protagorean relativism which is rejected. It is denied that the incompatibility between vagueness and classical logic causes a gulf between two sublanguages; mstead, ordinary language is held to contam both and so to be inconsistent.