Post date: Sep 4, 2014 6:29:41 PM
" IT IS NOT POSSIBLE TO PARTITION THE REAL NUMBER FIELD INTO 'TWO OPEN SUBSETS' "
LET P AND Q BE 'TWO OPEN SUBSETS' OF REAL NUMBER FIELD SUCH THAT [ P(union)Q]=REAL NUMBER FIELD AND[P(intersection)Q]=NULL SET.THIS MATHEMATICAL STATEMENT MUST NOT BE TRUE' IF P AND Q ARE OPEN SUBSETS'.