gzrdaeecsberkeleyedu constructive thoughtprovoking comments concept cointensive precisiation uai digest vol 4 issue 4 professor peter tillers tod levitt point issue position centrality natural language understandingthe issue contextdependence meaning relationship contextdependence precisiation see issue clearer perspective clarification underlying concepts order precise precisiation begin term precise two distinct meanings precise relation value vprecise b precise relation meaning mprecise illustrate x 5 vprecise mprecise x 5 7 vimprecise mprecise x 5 vimprecise mimprecise becomes mprecise 5 defined probability distribution fuzzy set precision fuzzy concept sense matter degree x variable whose value u imprecise vprecisiation u transforms u value u higher degree precision u similarly p proposition mprecisiation p transforms p proposition p whose meaning higher degree precision p p referred precisiand p prep refinement precisiation two modalities considered mhprecisiation results precisi humanoriented usually expressed natural language b mmprecisiation results precisiand machineoriented expressed mathematical language unless specified contrary precisiation interpreted mmprecisiation definition may viewed form mhprecisiation mmprecisiation reflecting modalities pnl precisiated natural language entry lexicon three parts first part definiendum p concept proposition second part mhprecisiand p usually expressed natural language third part mmprecisiand p expressed mathematical language sense lexicon pnl bimodal although bimodal lexicons dictionaries yet existence availability future would greatly enlarge role natural languages scientific theories especially realms law economics medicine basic contributions professor tillers others realm formalization legal reasoning step direction evident order qualify valid precisiand meaning prep close approximation p measure closeness approximation referred cointension intension used logical sense attributebased meaning thus prep cointensive meaning prep close approximation p sketched general framework specifically key idea pnl serves concretize concept precisiand representing meaning p generalized constraint gcp form x isr r concept generalized constraint centerpiece pnl pnl prep equated gcp primary constraints possibilistic rblank veristic rv probabilistic rp standard constraints bivalent possibilistic bivalent veristic probabilistic standard constraints underlie standard methods based bivalent logic probability theory set generalized constraints together rules governing combination qualification constraint propagation constitutes generalized constraint language gcl similarly set standard constraints constitutes standard constraint language scl pnl precisiation p equivalent translation p gcl pnl generally fuzzy logic contextdependence dealt requiring terms defined context used illustrate designer fuzzy logic transmission states rule form x b b fuzzy sets designer expected define b rule appear sense fuzzy logic local logic bellman la zadeh local fuzzy logics erl memorandum m584 1976 also modern uses multiplevalued logic jm dunn g epstein eds 103165 dordrecht reidel 1977 illuminating examples professor tillers eg p operate safe prudent manner responsibility issuer instruction precisiate meaning context translation p generalized constraint language stressed ultimate aim precisiation make meaning understandable machine way translation gcl see kathy laskeys bayesian networks could serve purpose highest regard kathys expertise probability theory knowledge representation insightful examples professor tillers clearly demonstrate mechanization remarkable human capability understand meaning context extremely complex task humans use world knowledge understand meaning context mimic capability pnl provides system representing reasoning world knowledge principal components world knowledge propositional conceptual ontological existential contextual contextual component serves relate meaning context basically contextdependent meaning proposition p derived contextdependent meanings constituents p example meaning p adult swedes tall derived contextdependent meanings adult tall message uai digest vol 4 issue 3 express view cointensive definitions fuzzy concepts formulated within conceptual structure bivalent logic probability theory applies many basic concepts among concept mountain seen definitions alluded tod prepared demonstrate existing definition mountain cointensive analogy may help clarify view suppose nonlinear system would like construct mathematical model ms model analogous precisiand gcl analogous class nonlinear systems sgl analogous class linear systems cointension analogous measure goodness approximation linear inputoutput relation ms nonlinear inputoutput relation say cointensive definition exist scl analogous saying general nonlinear system closely approximated linear model concept cointensive precisiation points imperative need fields law economics medicine bimodal lexicons dictionaries lexicons yet existence likely eventually construction may achieve status important objective ai generally methodologies aimed mechanization resoning scientific theories warm regards lotfi zadeh gzrdaeecsberkeleyedu wed 06 aug 2008 021601 0700 uai concept cointensive precisiation