Vagrant predicates are logical constructions that exhibit an inherent limit to conceptual knowledge.[1] Such predicates can be used in general descriptions but are self-contradictory when applied to particulars. For instance, there are numbers which have never been mentioned but no example can be given as this would contradict its definition. Vagrant predicates have been proposed and studied by Nicholas Rescher.
F is a vagrant predicate iff (u)Fu is true while nevertheless Fu0 is false for each and every specifically identified u0.[2]
When infinity is thought of as a number greater than any given, a similar idea is conceived. However vagrancy needs not to be monotonous and occurs also within bounds. Rescher has used vagrant predicates to solve the vagueness problem.[1][2]
Referencesedit
^ abRescher, N. (2009). Unknowability: An inquiry into the limits of knowledge. Plymouth: Lexington Books. ISBN978-0739136157.
^ abRescher, N. (2008). "Vagueness: A Variant Approach". Informal Logic. 28 (4): 282–294. doi:10.22329/il.v28i4.2853.
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vagrant, predicate, logical, constructions, that, exhibit, inherent, limit, conceptual, knowledge, such, predicates, used, general, descriptions, self, contradictory, when, applied, particulars, instance, there, numbers, which, have, never, been, mentioned, ex. Vagrant predicates are logical constructions that exhibit an inherent limit to conceptual knowledge 1 Such predicates can be used in general descriptions but are self contradictory when applied to particulars For instance there are numbers which have never been mentioned but no example can be given as this would contradict its definition Vagrant predicates have been proposed and studied by Nicholas Rescher F is a vagrant predicate iff displaystyle exists u Fu is true while nevertheless Fu0 is false for each and every specifically identified u0 2 When infinity is thought of as a number greater than any given a similar idea is conceived However vagrancy needs not to be monotonous and occurs also within bounds Rescher has used vagrant predicates to solve the vagueness problem 1 2 References edit a b Rescher N 2009 Unknowability An inquiry into the limits of knowledge Plymouth Lexington Books ISBN 978 0739136157 a b Rescher N 2008 Vagueness A Variant Approach Informal Logic 28 4 282 294 doi 10 22329 il v28i4 2853 nbsp This logic related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Vagrant predicate amp oldid 975982006, wikipedia, wiki, book, books, library,
