Vagueness:

accept alternative appears argued assigned atomic Bivalence borderline case vagueness chapter claim classical logic classification range coherent conception of vagueness concerning conclusion consists context degree of truth determining concept discernibly different discriminate discussed existence Frege's Fregean sense Fregean vagueness further fuzzy logic heap higher order vagueness incoherence thesis inconsistent indefinite indeterminate indiscernible induction step interpretation involve judgements kind language users mathematical induction matter meaning metalanguage Modus Ponens notion objects observational predicates ordinary pair penumbral connexions perception phenomenal shade plausible possible precise languages precisifications predicate applies predicate's application premiss Principle of Bivalence principles problem purely observational qualia question reason rejected relevant respect scope seems semantic sense sentence sharp boundaries sharp limits Sorites argument Sorites Paradox speakers specification supervaluation suppose things true or false truth conditions truth theory truth-value uncertainty vague language vague predicates vagueness in language wombat Wright's arguments