VALUATIONS FOR THE QUANTUM PROPOSITIONAL STRUCTURES AND HIDDEN VARIABLES FOR QUANTUM MECHANICS by ARIADNA CHERNAVSKA B.A., The U n i v e r s i t y of B r i t i s h Columbia, 1971 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY i n THE FACULTY OF GRADUATE STUDIES (Department of Philosophy) We accept t h i s t h e s i s as conforming t o the r e q u i r e d standard THE UNIVERSITY OF BRITISH COLUMBIA •-July 1 1979 • @ Ariadna Chernavska In present ing t h i s t he s i s i n p a r t i a l f u l f i l m e n t of the requirements f o r an advanced degree at the U n i v e r s i t y of B r i t i s h Columbia, I agree t ha t the L i b r a r y s h a l l make i t f r e e l y a v a i l a b l e f o r re fe rence and study. I f u r t h e r agree that permiss ion f o r ex tens i ve copying of t h i s t he s i s f o r s c h o l a r l y purposes may be granted by the Head of my Department or by h i s r e p r e s e n t a t i v e s . I t i s understood tha t copying or p u b l i c a t i o n of t h i s t he s i s f o r f i n a n c i a l ga in s h a l l not be a l lowed wi thout my w r i t t e n permi s s ion . Department of PHILOSOPHY The U n i v e r s i t y of B r i t i s h Columbia 2075 Wesbrook P lace Vancouver, Canada V6T 1W5 A b s t r a c t The t h e s i s i n v e s t i g a t e s the p o s s i b i l i t y of a c l a s s i c a l semantics f o r quantum p r o p o s i t i o n a l s t r u c t u r e s . A c l a s s i c a l semantics i s defined as a set of mappings each of which i s ( i ) b i v a l e n t , i . e . , the value 1 (true) or