1 votes 1 votes If s is countably infinite . Then 2^s is uncountable. True / false ?? abhishekmehta4u asked Mar 19, 2019 abhishekmehta4u 222 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Abbas commented Mar 19, 2019 reply Follow Share True...as you are talking about power set of s which is countably infinite....consider s as set of natural numbers... power set of countable infinite set is UNCOUNTABLE....example set of all languages over set {0,1} 0 votes 0 votes Ram Swaroop commented Mar 19, 2019 reply Follow Share True If A is infinite (even countably infinite) then the power set of A is uncountable. Uncountable set 0 votes 0 votes Please log in or register to add a comment.